Abstract
The intrinsic properties of spinal motoneurons support flexible movement, including the maintenance of
postural tone. Motoneurons can produce sustained action potential output that outlasts synaptic input, a
phenomenon traditionally attributed to persistent inward currents (PICs) mediated by sodium and calcium
channels. Using whole -cell patch clamp electrophysiology, we examined how specific ion channels
contribute to PIC maturation and non-linear firing dynamics that allow motoneurons to sustain their output
in fast and slow lumbar motoneurons across postnatal development in mice. PIC amplitude and non-linear
firing dynamics increased after weight bearing in fast but not slow motoneurons. Blocking Nav1.6 channels
reduced PIC amplitude at both pre - and post -weight-bearing stages, whereas L -type calcium channel
blockade only reduced PICs after weight bearing emerged. However, r educing PIC amplitude —either
individually or in combination —did not abolish sustained firing hysteresis. Unexpectedly, activation of
muscarinic receptors increased PIC amplitude while promoting adaptive firing dynamics, suggesting that
PICs alone do not drive this behavior. Instead, pharmacological manipulation of potassium currents
mediated by KCNQ and Kv1.2 channels, which oppose PICs, produced substantial changes in firing
dynamics. Strikingly, blocking HCN channels promoted sustained firing dynamics and led to the emergence
of self-sustained firing in fast motoneurons. These results indicate that while PICs and non-linear firing
dynamics mature together, sustained firing relies on mechanisms beyond PICs, with potassium and HCN
channels playing key modulatory roles.
Key Points
● Persistent inward currents (PICs) and recruitment-derecruitment hysteresis increase in parallel in
fast, but not slow, motoneurons following the onset of hindlimb weight bearing.
● Increased expression or function of L-type calcium channels may contribute to enhanced PICs in
fast motoneurons after weight bearing emerges.
● Neither Nav1.6 nor L-type calcium channels are required for sustained firing hysteresis in fast
motoneurons.
● KCNQ channels attenuate PICs and, together with Kv1.2 channels, shape recruitment–
derecruitment asymmetry, thereby modulating firing hysteresis in fast motoneurons.
● HCN channels generate a resting H-current that delays recruitment, modulates firing hysteresis,
and prevents the emergence of self-sustained firing in fast motoneurons.
Key Words: motoneurons, spinal cord, electrophysiology, intrinsic properties, persistent inward current,
ion channels
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Introduction
The development of complex motor control is a fundamental aspect of early life, enabling animals to
interact with their environment, maintain posture, and execute coordinated movements. In rodents, the
emergence of hindlimb weight bearing represents a crit ical milestone in motor development, typically
occurring during the second half of the second postnatal week (Altman & Sudarshan, 1975). This behavioral
transition reflects the maturation of spinal circuits and the intrinsic properties of motoneurons (Vinay et al.,
2000; Stifani, 2011; Quinlan et al. , 2011; Durand et al. , 2015; Jean -Xavier et al. , 2018; Smith &
Brownstone, 2020; Sharples & Miles, 2021), which must generate sustained activation of muscle fibers to
support postural stability and locomotion (Heckman et al., 2008b).
Persistent inward currents (PICs) allow motoneurons to maintain firing once activated, which is believed
to contribute to supporting postural tone. These currents, conducted by sodium (NaV1.6) and calcium
(CaV1.3) channels, amplify excitatory inputs and help maintain the membrane potential above the threshold
for action potential generation, thereby supporting sustained firing beyond the initial synaptic input
(Schwindt & Crill, 1977, 1980; Hounsgaard & Kiehn, 1989; Carlin et al., 2000; Powers & Binder, 2003;
Li & Bennett, 2003; Li et al., 2004; Heckmann et al., 2005; Elbasiouny et al., 2006; Harvey et al., 2006a;
Manuel et al., 2009; Bouhadfane et al., 2013; Powers & Heckman, 2015; Mesquita et al., 2024). In other
words, a brief excitatory signal can produce ongoing neuronal activity because the inward current “holds”
the membrane potential near or above firing threshold. PICs also contribute to nonlinear membrane
responses, meaning that the relationship between input and output is not strictly proportional —small
changes in input can produce large changes in firing —and can create bistable firing patterns, in which a
neuron can stably remain in either a low- or high-firing state depending on prior activity (Bos et al., 2018,
2021; Drouillas et al., 2023; Harris-Warrick et al., 2024).
A frequently studied feature associated with PICs is recruitment–derecruitment asymmetry (Bennett et al.,
2001; Li & Bennett, 2003; Harvey et al., 2006b; Button, 2008; Manuel et al., 2009; Meehan et al., 2010b,
2010a; Quinlan et al., 2011; MacDonell et al., 2015; Huh et al., 2017). This is typically measured using a
triangular current injection, where the current is gradually increased and then decreased. Motoneurons often
begin firing at a higher current on the ascending limb of the ramp (recruitment) than the current at which
firing stops on the descending limb (derecruitment), producing a characteristic “hysteresis” in the firing –
current relationship (Bennett et al. , 2001) . In addition, PICs can support higher firing rates on the
descending limb compared with the ascending limb, believed to be reflecting the sustained depolarizing
influence of inward currents. Similar patterns are observed in human motor units during triangular isometric
contractions (Gorassini et al., 2002; Udina et al., 2010), highlighting the translational relevance of these
firing behaviors. While PICs are believed to be central to these phenomena, other intrinsic mechanisms —
including spike-frequency adaptation, spike-threshold accommodation, and potassium conductances—can
also influence recruitment, derecruitment, and firing rates independently of inward currents (Sawczuk et
al., 1995; Button et al., 2007; Li & Bennett, 2007; Powers et al., 2008; Kalmar et al., 2009; Hamm et al.,
2010; Revill & Fuglevand, 2011; Vandenberk & Kalmar, 2014; Powers & Heckman, 2015; Leroy et al.,
2015; Bos et al., 2018; Sharples et al., 2023; Deutsch & Elbasiouny, 2024; Molkov et al., 2025). Together,
these mechanisms suggest that sustained firing and hysteresis arise from a dynamic balance of inward and
outward currents.
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Previous work has emphasized the role of dendritic CaV1.3 currents in mediating hysteresis under strong
neuromodulatory drive (Heckman et al., 2003, 2008a), but other ion channels at the axon initial segment
(AIS) are also likely to play a critical role. NaV1.6 channels generate a persistent sodium current, while
potassium channels such as Kv1.2 and KCNQ are positioned to shape action potential initiation and
repetitive firing (Bos et al., 2018; Drouillas et al., 2023; Sharples et al., 2023; Harris-Warrick et al., 2024).
These AIS potassium channels may not simply oppose PICs (Verneuil et al., 2020), but likely actively
determine the timing of recruitment and derecruitment, offering a complementary mechanism that can
influence firing hysteresis. Understanding the relative contributions of inward versus outward conductances
to the maturation of motoneuron firing properties is especially important during the postnatal period when
hindlimb weight bearing emerges, as disruptions in these mechanisms may underlie motor disorders or
delayed motor development.
In this study, we investigated the maturation of PICs and recruitment–derecruitment asymmetry in fast and
slow motoneurons across the postnatal period surrounding the onset of hindlimb weight bearing. Using
whole-cell patch-clamp recordings in mouse spinal cord slices combined with selective pharmacological
manipulation of NaV1.6, CaV1.3, KCNQ, Kv1.2, and HCN channels, we aimed to disentangle the relative
contributions of inward and outward currents to nonlinear firing behaviors. We hypothesized that while
PIC amplitude and hysteresis would increase with development, other conductances would play a decisive
role in shaping recruitment–derecruitment asymmetry, providing a broader mechanistic basis for hysteresis
than inward currents alone.
Results
PICs and recruitment-derecruitment hysteresis increase in fast motoneurons around weight bearing stages.
Whole cell patch -clamp electrophysiology was deployed to study persistent inward currents (PICs) and
firing hysteresis of lumbar motoneurons in transverse spinal cord slices (Figure 1A) obtained from mice
during the second and third postnatal weeks. In the se preparations, two motoneuron subtypes can be
identified based on delayed and immediate firing profiles (Figure 1B). These two motoneuron subtypes
display electrophysiological properties and molecular markers that are consistent with fast and slow
motoneurons respectively (Leroy et al., 2014; Bos et al., 2018), with functional differences between these
two subtypes emerging sometime during the second postnatal week (Sharples & Miles, 2021; Sharples et
al., 2025). This period of time coincides with drastic changes in locomotor behaviour, with the emergence
of hindlimb weightbearing toward the end of the second postnatal week (Altman & Sudarshan, 1975).
Previous work has suggested that increases in PICs in motoneurons may contribute to the emergence of
hindlimb weight-bearing, toward the end of the second postnatal week, by supporting sustained activation
of the fatigue resistant slow twitch motor units t hat maintain tone in postural muscles of the hindlimb
(Brocard et al. , 1999; Vinay et al. , 2000; Clarac et al. , 2004; Jean -Xavier et al. , 2018) . To test this
hypothesis, we reanalyzed a data set of 209 motoneurons from 81 mice from our previously published work
(Sharples & Miles, 2021; Sharples et al., 2023), which measured PICs in voltage clamp during triangular
voltage ramps (Figure 1C, D). In our previous work, all motoneurons studied during week 2 were pooled.
In the current analysis, PICs were examined before and after the emergence of weight bearing dur ing the
early (P7-9) and late (P10-13) stages of the second and into the third (P14-20) postnatal weeks. In line with
our hypothesis, PIC amplitude increased after weight bearing stages (P10 -13) but did not continue to
increase further into the third postnatal week (Figure 1E; Table 1a). However, in contrast to our hypothesis,
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and in line with previous work (Sharples & Miles, 2021; Harris-Warrick et al., 2023), PICs were larger in
the ‘fast-like’ delayed-firing motoneurons compared to ‘slow -like’ immediate firing motoneurons (Table
2). This difference in PIC amplitude between delayed and immediate firing motoneurons emerged at the
end of week 2 and was preserve d into week 3 (Figure 1E). Interestingly, the majority of the PIC was
activated below the spike threshold, however this proportion of PIC activated below spike threshold did not
differ between motoneuron subtypes or change across weeks 2 and 3 (Table 2; Table 1b). PIC onset voltage
was more depolarized in delayed compared to immediate firing motoneurons but did not change across
these three developmental time points (Figure 1F; Table 2; Table1c).
In addition to measuring PICs in voltage clamp, we also assessed recruitment-derecruitment and firing rate
hysteresis in current clamp during slow triangular currents ramps (Figure 2A). This is an approach that is
often used to estimate the influence of PICs on motoneuron firing, with negative values reflective of firing
persisting at lower levels of current on the descending limb of the ramp compared to the ascending limb of
the ramp (Ioff<Ion) (Li & Bennett, 2003; Li et al., 2004; Harvey et al., 2006b; Quinlan et al., 2011; Durand
et al. , 2015; Steele et al. , 2020; Sharples & Miles, 2021; Harris -Warrick et al. , 2023) . In line with
measurements of PICs made in voltage clamp, recruitment-derecruitment hysteresis (delta I) became more
negative (increased) in delayed firing motoneurons but did not change in immediate firing motoneurons
across the second and third weeks of postnatal development (Figure 2B; Table 2; Table 1d). Delta I
plateaued at the end of the second postnatal week, with no further change in to week 3 (Figure 2B; Table
1d).
Motoneurons also present with 4 classes of firing rate hysteresis during triangular current ramps, with type
1; linear, type 2; adapting/clockwise hysteresis, type 3; sustained, and type 4; counterclockwise hysteresis
(Figure 2C). Of these classes, types 3 and 4 have been proposed to be mediated by a PIC (Bennett et al.,
2001; Durand et al., 2015; Sharples & Miles, 2021). Overall, these firing types did not significantly change
within either subtype over the first three postnatal weeks, however significant differences were found
between delayed and immediate firing motoneurons at all time points (Figure 2D; Table 1e).
Nav1.6 and L-type calcium channels contribute to PICs but do not underlie hysteresis in fast motoneurons
Having identified a time course that PIC, recruitment -derecruitment, and firing hysteresis mature during
postnatal development, we next set out to determine which PIC -conducting ion channels contribute to the
increase in PICs and recruitment-derecruitment hysteresis in delayed firing motoneurons around weight
bearing stages (P7-9 vs. P10-13).
Repetitive firing during slow depolarizing current injection is critically dependent on the availability of
persistent sodium channels (INaP) and can be blocked with riluzole (Miles et al., 2005; Kuo et al., 2006).
Because persistent sodium current is a major contributor to PIC amplitude, reducing this current would be
expected to decrease PIC amplitude and consequently reduce delta I, reflecting a diminished contribution
of PICs to firing hysteresis. Consistent wi th our previous findings (Sharples & Miles, 2021) and those of
others (Drouillas et al., 2023), blocking NaV1.6 channels produced a 34 ± 40% reduction in PIC amplitude
at P7–9 and a 39 ± 35% reduction at P10–13, with no difference in the magnitude of this reduction between
developmental stages (Figure 3A,B; Table 3; Table 1f). Blocking NaV1.6 chann els also depolarized the
onset voltage of the PIC at both early and late stages of week 2, again with no difference in the magnitude
of this shift between stages (Figure 3C; Table 1g). Despite the reduction in PIC amplitude, however, delta
I increased following NaV1.6 blockade (Figure 3E; Table 1h), contrary to the prediction that reducing PIC
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amplitude should decrease delta I. This increase in delta I was observed at both early and late stages of
week 2 and occurred without a change in the proportions of Type 1 -4 firing hysteresis (Figure 3F; Table
1k). The increase in delta I was paralleled by increases in both recruitment and derecruitment currents
(Figure 3G, H; Table 1l,m). Together, these data indicate that NaV1.6 channels contribute to the amplitude
and shape the onset voltage of the underlying PIC. However, changes in NaV1.6 function do n ot account
for the developmental increase in PIC amplitude during the second postnatal week and appear to contribute
minimally to recruitment–derecruitment dynamics and firing hysteresis.
We next tested the contribution of L-type calcium channels to the PIC measured during the second postnatal
week to determine if changes in their contribution can account for the increase in PIC amplitude and
recruitment-derecruitment hysteresis during the second postnatal week. Blocking L-type calcium channels
with nifedipine did not alter PIC amplitude at P7 -9 (3±20%) but produced a 34±26% reduction in the
amplitude of the PIC at P10 -13 (Figure 4A, B; Table 3; Table 1q). Consistent with previous reports
(Sharples & Miles, 2021), nifedipine did not change the onset voltage of the PIC at either stage (Figure 4C;
Table 1r). Despite the reduction in PIC amplitude, nifedipine did not significantly change delta I (Figure
4D, E; Table 1s), proportions of firing hysteresis (Figure 4F; Table 1t), onset current (Figure 4G; Table 1u),
or offset current (Figure 4H; Table 1v) at either time point. Together these data suggest that L-type calcium
channels contribute in part to PIC amplitude and an increase in their contribution toward the end o f the
second postnatal week may account for the increase in PIC amplitude that we observed. However, in
contrast to what we expected, L -type calcium channels are not a key contributor to recruitment -
derecruitment or firing hysteresis.
We next considered the possibility that blocking NaV1.6 or L -type calcium channels individually did not
produce a sufficient reduction in PIC amplitude to alter firing hysteresis. If delta I is strongly dependent on
PIC magnitude, then a larger reduction in PIC amplitude should be expected to decrease delta I. To test this
possibility, we simultaneously blocked NaV1.6 and L -type calcium channels using 4,9 -anhydro-
tetrodotoxin and nifedipine. Although co-application of these antagonists (n = 8 MNs; P10–13) produced a
substantial 58 ± 7.7% reduction in PIC amplitude (Table 3; Table 1w), this manipulation did not
significantly alter delta I or firing hysteresis in the expected direction (Table 3; Table 1x). These findings
further indicate that the magnitude of the PIC alone is not a primary determinant of recruitment –
derecruitment hysteresis in developing motoneurons.
Paradoxical modulation of PIC amplitude and firing hysteresis in fast motoneurons
Previous work has suggested that the influence of PICs on motoneuron firing is critically dependent on the
presence of endogenous sources of neuromodulation (Hounsgaard et al., 1984, 1988; Conway et al., 1988).
It has also been shown that multiple neuromodulators can increase PIC amplitude in hypoglossal
motoneurons (Revill et al., 2019). Here we tested the hypothesis that increasing PIC amplitude by activating
muscarinic acetylcholine receptors would produce a shift toward sustained firing hysteresis, as we found
during development. In line with previous reports (Revill and Funk, 2022), application of muscarine
produced a 174±82% increase in PIC amplitude (Figure 5A, B; Table 3; Table 1y) but did not alter the
onset voltage of the PIC (Figure 5A, C; Table 1z). This increase in PIC amplitude produced by muscarine
is equivalent to the mean increase that we observed between the early and late phase of the second postnatal
week. However, in contrast to what would be expected, muscarine decreased delta I (Figure 5D, E; Table
1aa) and produced a general shift from types 3-4 to types 1-2 firing hysteresis (Figure 5F; Table 1bb)). The
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reduction in delta I occurred without a change in onset current (Figure 5G; Table 1cc) and was instead
attributable to a selective increase in the offset current in the presence of muscarine (Figure 5H; Table 1dd).
Firing hysteresis in fast motoneurons is modulated by potassium channels
Although muscarine increases PIC amplitude, it is also known to modulate multiple voltage -sensitive ion
channels. One current of particular interest is the M-type potassium current, conducted by slow-activating,
non-inactivating KCNQ channels that are largely active in the subthreshold voltage range (Alaburda et al.,
2002; Ghezzi et al., 2017, 2018; Verneuil et al., 2020; Sharples et al., 2023). Because these channels a
persistent outward current, it can oppose the actions of PICs (Verneuil et al., 2020; Singh et al., 2025;
Gaudreau & Bui, 2026) and was originally identified based on its inhibition by muscarinic receptor
activation (Brown & Adams, 1980) . In addition, our previous work demonstrated large M -currents in
delayed firing motoneurons and a selective role for this conductance in controlling recruitment (Sharples et
al., 2023).
Based on these observations, we hypothesized that M-currents shape firing hysteresis by counteracting PICs
and by providing differential control of recruitment and derecruitment currents (Verneuil et al. , 2020;
Sharples et al. , 2023) . Under this framework, reducing M -current would be expected to enhance PIC
amplitude and potentially increase delta I by strengthening inward current amplification during firing.
Consistent with the predicted effect on PICs, blocking M-currents with XE991 (10 μM) produced a 188 ±
32% increase in PIC amplitude (Figure 6A, B; Table 3; Table 1ee) and hyperpolarized PIC onset voltage
by 4.9 ± 2.8 mV (Figure 6C; Table 1ff). The magnitude of this increase in PIC amplitude was comparable
to that observed developm entally and following muscarinic activation. However, despite the substantial
increase in PIC amplitude, blocking KCNQ channels reduced delta I (Figure 6D, E; Table 1gg) and shifted
firing behavior from Types 3 –4 toward Types 1 –3 patterns (Figure 6F; Table 1hh), contrary to the
expectation that larger PICs should increase firing hysteresis. Importantly, the mechanism underlying this
reduction in delta I differed from that observed with muscarine. Following KCNQ channel blockade, the
reduction in delta I res ulted from a decrease in the recruitment current (Figure 6G; Table 1ii), with no
change in the derecruitment current (Figure 6H; Table 1jj). Thus, whereas muscarine reduced delta I by
increasing the offset current, inhibition of KCNQ channels reduced delta I by lowering the onset current on
the ascending limb of the current ramp.
Conversely, activation of KCNQ channels with ICA73 increased delta I (Figure 6I, J; Table 3; Table 1kk)
and produced a general shift toward Type 4 firing hysteresis (Figure 6K; Table 1ll). This increase in delta
I resulted from an increase in recruitment current (Figure 6L; Table 1mm) with no change in derecruitment
current (Figure 6M; Table 1nn). Similar effects were observed with a second KCNQ channel activator,
retigabine (Table 3; Table 1oo-rr). Moreover, these effects were reversed by subsequent application of the
KCNQ blocker XE991, which reduced delta I to levels significantly below baseline and shifted firing
behavior toward Types 1 –2 patterns, consistent with blockade of KCNQ channels alone (Figure 6J –M;
Table 1gg-jj). Together, these findings indic ate that KCNQ channels conduct an outward current that not
only opposes PICs but also plays a critical role in shaping recruitment –derecruitment hysteresis. Rather
than regulating derecruitment, KCNQ channels primarily influence firing hysteresis by contro lling the
recruitment current on the ascending limb of triangular current ramps.
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Given that types 3-4 firing hysteresis and negative delta I values are a prominent feature of fast-type delayed
firing motoneurons (Figure 2), with delayed firing being produced by rapid activation and slow inactivation
of Kv1.2 channels (Bos et al., 2018; Harris-Warrick et al., 2024), we next tested the hypothesis that slow
inactivation of Kv1.2 channels might contribute to sustained firing hysteresis by allowing motoneurons to
fire for longer on the descending aspect triangular current ramps. Blockade of Kv1.2 channels with
tityustoxin (TsTx; 800 nM) blocked the slow depolarization of the membrane potential in response to a
long (5s) depolarizing current step applied near rheobase (Figure 7A). Interestingly, and in line with our
hypothesis, blocking Kv1.2 channels decreased delta I (F igure 7B, C; Table 3; Table 1ss) and produced a
shift from Types 3 and 4 to Types 1-3 firing hysteresis (Figure 7D; Table 1tt). However, in contrast to what
we hypothesized, the reduction of delta I was due to a significant decrease in the onset current (Figure 7E;
Table 1uu) and no change in the offset current (Figure 7F; Table 1vv). These data suggest that the rapid
activation of Kv1.2 channels may influence firing hysteresis by shaping fast motoneuron recruitment,
however slow inactivation of Kv1.2 channels may play less of a role in supporting sustained firing on the
descending limb of the ramp.
HCN channels modulate firing hysteresis and prevent bistable firing in fast motoneurons
In the preceding experiments, we found that manipulating PIC amplitude alone did not reliably predict
changes in recruitment –derecruitment hysteresis. Both NaV1.6 and KCNQ channel manipulations
substantially altered PIC amplitude yet produced changes in de lta I that could not be explained solely by
the magnitude of the PIC. These findings suggested that additional conductances that shape the membrane
operating range or input conductance may play an important role in determining whether PICs generate
firing hysteresis.
In a final set of experiments, we therefore assessed the contribution of hyperpolarization -activated cyclic
nucleotide-gated (HCN) channels to recruitment–derecruitment and firing rate hysteresis in delayed-firing
fast motoneurons. Our previous work demonstrated that by the third postnatal week (P14–20) the activation
voltage of HCN channels shifts in the depolarizing direction, resulting in an h-current that is active at resting
membrane potential. This resting h-current acts as a depolarizing shunt conductance that delays recruitment
in response to depolarizing input (Sharples & Miles, 2021) . Because HCN channels deactivate slowly
during depolarization and reactivate during hyperpolarization, we hypothesized that this current could limit
the ability of PICs to generate bistability and thereby suppress recruitment–derecruitment hysteresis during
triangular current ramps. Consistent with this hypothesis, pharmacological blockade of HCN channels with
ZD7288 (Figure 8A, B; Table 3; Table 1ww) significantly increased delta I (Figure 8C, D; Table 1xx).
Notably, following HCN channel blockade, 48% of motoneurons displayed self-sustained firing— a feature
rarely observed in delayed - or immediate -firing motoneurons during the first three postnatal weeks
(Sharples & Miles, 2021). This enhancement in sustained activity was reflected by a shift in firing hysteresis
from type 4 at baseline to the emergence of a fifth firing pattern characterized by persistent self -sustained
firing (Figure 8E; Table 1yy). The increase in delta I was accompanied by significant reductions in both
recruitment (Figure 8F; Table 1zz) and derecruitment (Figure 8G; Table 1aaa) currents during triangular
current ramps. Moreover, after termination of the ramp (Figure 8H) or a brief depolarizing current step
(Figure 8I), sustained discharge required hyperpolarizing current injection to terminate firing, consistent
with the emergence of bistable firing behavior following HCN channel blockade. To determine whether
this enhanced bistability resulted from changes in the underlying PIC, we measured PIC amplitude in
voltage clamp in a subset of motoneurons (n = 4). Because PICs are believed to be a key contributor to self-
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sustained firing, we predicted removing the shunt current by blocking HCN channels might increase PIC
amplitude. However, in contrast to this prediction, HCN channel blockade produced no significant change
in PIC amplitude (−10 ± 40%, Figure 8J, K; Table 1bbb). Instead, the onset voltage of the PIC became
significantly hyperpolarized (−6.4 ± 5.1 mV, Figure 8L; Table 1ccc) in all cells examined. Together, these
findings suggest that HCN channels oppose the generation of self -sustained firing in fast motoneur ons at
the third postnatal week, likely by acting as a resting shunt conductance that stabilizes membrane potential
and limits the voltage range over which PICs can generate bistability.
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Figure 1: PICs increase in delayed firing motoneurons after the emergence of hindlimb weight bearing. (A) Motoneurons
visualized under differential interference contrast were identified based on delayed (purple) and immediate (green) firing with long
(5 second) depolarizing current steps applied near rheobase current (B). (C) Persistent inward currents (PI Cs) were measured in
voltage clamp from delayed (purple) and immediate firing (green) motoneurons at pre (Delayed n = 22; immediate n = 22; P7 -9)
and post- (Delayed n = 22; immediate n = 14; P10 -13) weight bearing stages and into the third postnatal week (Delayed n = 14;
immediate n = 13; P 14 -20) using a slow depolarizing voltage ramp (10mV/s; -90 to -10 mV). (F) PIC onset and amplitude were
measured from leak-subtracted, low pass filtered (5Hz Bessel) traces. A -D, adapted from (Sharples & Miles, 2021) . (G) PIC
amplitude increased in delayed firing motoneurons from pre- to post-weight bearing stages and did not change in immediate firing
motoneurons. (F) PIC onset voltage did not change in delayed or immediate firing motoneurons during the second and th ird
postnatal week. Data are presented as mean ± SD with individual data points for each motoneuron displayed. Data were analyzed
with a 2 factor ANOVA, with age and motoneuron type as factors. P values are reported when significant differences were detected.
Hedge’s g values indicated small (0.2-0.49), medium (0.5-0.79) and large (>0.8) effect sizes.
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Figure 2: Recruitment-derecruitment and firing hysteresis mature in parallel to PICs. (A)
Representative traces of the membrane potential and repetitive firing from a delayed (purple) and immediate
firing (green) motoneuron during a triangular depolarizing current ramp up to an intensity of 2 x their
respective rheobase currents. (B) Recruitment-derecruitment hysteresis, measured as Delta I, represents the
difference between current at firing offset on the descending limb of the ramp and the current at firing onset
on the ascending limb of the ramp, increased in delayed firing motoneurons at pre- and post-weight bearing
stages but did not change in immediate firing motoneurons. (C) Frequency current plots with firing rates
derived from ascending (black) and descending (red) limbs of triangular current ramps. Four patterns of
firing rate hysteresis can be identified as described by Li and Bennett, 2006; with types 3 and 4 suggestive
of PIC actions. A&C, adapted from (Sharples & Miles, 2021). (D) Relative proportion of firing hysteresis
types in delayed and immediate firing motoneurons across the second and third postnatal week. Data are
presented as mean ± SD with individual data points for each motoneuron displayed. Data in B were analyzed
with a 2 factor ANOVA, with age and motoneuron type as factors. P values are reported when significant
differences were detected. Hedge’s g values indicated small (0.2-0.49), medium (0.5-0.79) and large (>0.8)
effect sizes. (Delayed firing MNs: P7-9 n = 31, P10-13 n = 43, P14-20 n = 52; Immediate firing MNs: P7-
9 n=29, P10-13 n = 26, P14-20 n = 27).
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Figure 3: Nav 1.6 channels contribute to PIC but not firing hysteresis. (A) Representative traces of a
leak-subtracted and filtered PIC measured in voltage clamp before (black) and after (red) application of the
NaV1.6 blocker 4,9 Anhydro -tetrodotoxin (4,9 AH -TTX; 200 nM). (B) 4,9 AH -TTX decreased PIC
amplitude and depolarized PIC onset voltage (C) at both pre- (n=10; P7-9) and post- (n=12; P10-13) weight
bearing stages. (D) Representative traces of the membrane potential and repetitive firing during a triangular
depolarizing current ramp before (black) and after (red) application of 4,9 AH -TTX. (E) 4,9 AH -TTX
increased recruitment-derecruitment hysteresis (Delta I) but did not alter the proportion of firing types (F)
at pre- and post-weight bearing stages. 4,9 AH-TTX increased the current at firing onset on the ascending
limb of the ramp (G) and increased current at firing offset on descending limb of the ramp (H) at both pre-
and post-weight bearing stages. Data are presented as individual data points and we re analyzed using a 2
factor ANOVA with drug and stage as factors. P values are reported when significant differences were
detected. Hedge’s g values indicated small (0.2-0.49), medium (0.5-0.79) and large (>0.8) effect sizes.
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Figure 4: L-type calcium channels contribute to PIC after the emergence of weight bearing but do
not contribute to firing hysteresis. (A) Representative traces of a leak -subtracted and filtered PIC
measured in voltage clamp before (black) and after (red) application of the L-type calcium channel blocker
Nifedipine (20 µM). (B) Nifedipine decreased PIC amplitude at post weight-bearing stages but did not alter
PIC onset voltage (C). (D) Representative traces of the membrane potential and repetitive firing dur ing a
triangular depolarizing current ramp before (black) and after (red) application of Nifedipine. (E) Nifedipine
did not affect recruitment -derecruitment hysteresis (Delta I) or alter the proportion of firing types (F) at
pre- (n= 12; P7-9) and post-weight bearing stages (n= 11; P10-13). Nifedipine did not affect current at firing
onset on the ascending limb of the ramp (G) or current at firing offset on descending limb of the ramp (H)
at both pre- or post-weight bearing stages. Data are presented as individual data points and were analyzed
using a 2 factor ANOVA with drug and stage as factors. P values are reported when significant differences
were detected. Hedge’s g values indicated small (0.2-0.49), medium (0.5-0.79) and large (>0.8) effect sizes.
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Figure 5: Muscarine increases PIC but reduces firing hysteresis. (A) Representative traces of a leak -
subtracted and filtered PIC measured in voltage clamp before (black) and after (red) application of the
Muscarine (10 µM; n = 10; P7 -13). (B) Muscarine increased PIC amplitude but did not alter PIC onset
voltage (C). (D) Representative traces of the membrane potential and repetitive firing during a triangular
depolarizing current ramp before (black) and after (red) application of muscarine. (E) Muscarine decreased
recruitment-derecruitment hysteresis (Delta I; n = 15) and produced a shift in firing types from types 3 and
4 to types 1-4. These effects were reversed following a wash with regular aCSF. Muscarine did not affect
current at firing onset on the asce nding limb of the ramp (G) but increased the current of firing offset on
descending limb of the ramp (H). Data are presented as individual data points and were analyzed using a
paired t -test (B & C) or repeated measures ANOVA (E - H). P values are reported when significant
differences were detected. Hedge’s g values indicated small (0.2-0.49), medium (0.5-0.79) and large (>0.8)
effect sizes.
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Figure 6: KCNQ channels attenuate PIC and promote firing hysteresis. (A) Representative traces of a leak -subtracted and
filtered PIC measured in voltage clamp before (black) and after (red) application of the KCNQ channel blocker XE991 (10 µM; n
= 5; P10 -13). (B) XE991 increased PIC amplitude and hyperpolarized PIC onset vo ltage (C). (D) Representative traces of the
membrane potential and repetitive firing during a triangular depolarizing current ramp before (black) and after (red) application of
XE991. (E) XE991 decreased recruitment-derecruitment hysteresis (Delta I; n = 10) and produced a shift in firing types from types
3 and 4 to types 1 -3 (F). XE991 decreased the current at firing onset on the ascending limb of the ramp (G) but did not alter the
current of firing offset on the descending limb of the ramp (H). (I) Repres entative traces of the membrane potential and repetitive
firing during a triangular depolarizing current ramp before (black) and after (blue) application of the KCNQ channel activato r
ICA73 (n=11; 10 µM) and subsequent application of XE991 (red). (J) ICA73 increased recruitment-derecruitment hysteresis (Delta
I) and produced a shift in firing types from types 3 and 4 to types 1 -3 (K). ICA73 increased the current at firing onset on the
ascending limb of the ramp (L) but did not alter the current of firing of fset on the descending limb of the ramp (M). These effects
were reversed with subsequent application of the KCNQ channel blocker, XE991 (n = 6). Data are presented as individual data
points and were analyzed using a paired t -test (B & C) or repeated measur es ANOVA (E - H; J - M). P values are reported when
significant differences were detected. Hedge’s g values indicated small (0.2-0.49), medium (0.5-0.79) and large (>0.8) effect sizes.
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Figure 7: Kv1.2 channels shape firing hysteresis. (A) Representative traces of the membrane potential
during a long (5 s) depolarizing current step applied just below rheobase before (black) and after (red)
application of the Kv1.2 channel blocker Tityustoxin (800 nM; TsTx; n = 13; P7 -13). (B) Representative
traces of the membrane potential and repetitive firing during a triangular depolarizing current ramp before
(black) and after (red) application of TsTx. (C) TsTx decreased recruitment-derecruitment hysteresis (delta
I) and produced a shift in firing types from types 1, 3 and 4 to types 2 -4. TsTx decreased the current at
firing onset on the ascending limb of the ramp (G) but did not affect the current of firing offset on
descending limb of the ramp (H). D ata are presented as individual data points and were analyzed using a
paired t-test. P values are reported when significant differences were detected. Hedge’s g values indicated
small (0.2-0.49), medium (0.5-0.79) and large (>0.8) effect sizes.
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Figure 8: HCN channels prevent self sustained firing at the third postnatal week. (A) Representative voltage clamp traces
illustrating the H-current measured in response to a 10 -mV hyperpolarizing voltage step applied from -60 mV before (black) and
after application of the HCN channel blocker ZD7288 (10 µM) in 10 delayed firing motoneu rons obtained from mice during the
third postnatal week (P14-20). (B) ZD7288 eliminates H current measured at -70 mV. (C) Representative traces of the membrane
potential and repetitive firing during a triangular depolarizing current ramp before (black) and after (red) application of ZD7288.
ZD7288 increased recruitment-derecruitment hysteresis (D; Delta I) and produced a shift from Type 4 firing hysteresis in all cells
to the emergence of a 5th firing type characterized by self sustained firing (E). ZD7288 decreased the current at firing onset on the
ascending limb of the ramp (F) decreased the current of firing offset on the descending limb of the ramp (G). Hyperpolarizing
current was needed to terminate self-sustained firing elicited after triangular current ramps (H) or brief depolarizing current steps
(I) in the presence of ZD7288. J) Representative traces of a leak -subtracted and filtered PIC measured in voltage clamp befor e
(black) and after (red) application of the HCN channel blocker ZD7288 (10 uM; n = 4). ZD7288 did not change the amplitude (K)
of the PIC but hyperpolarized the PIC onset voltage (L). Data are presented as individual data points and were analyzed using a
paired t-test. P values are reported when significant differences were detected. Hedge’s g values indicated small (0.2-0.49), medium
(0.5-0.79) and large (>0.8) effect sizes.
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Table 1: Statistical summary table. Results from statistical tests performed in this study are annotated through the
manuscript and are indicated in the first column of the table.
Source Data Condition Property Animal
Age
No. of MNs
Statistical Test d.f. Test
statistic
P Value
a Figure 1E Development PIC Amp. P7-20 107 2W ANOV A 2,101 17.0 4.2e-7
b text Development PIC at AP TH 7-20 104 2W ANOV A 2,98 0.9 0.9
c Figure 1F Development PIC On. V olt. P7-20 107 2W ANOV A 2,101 1.3 0.3
d Figure 2B Development Delta I P1-20 201 2W ANOV A 2,201 10.7 3.8e-5
e Figure 2D Development Firing Types P1-20 201 Kruskal-Wallis 115 1.0e-15
f Figure 3B 4,9 AH-TTX PIC Amp. P7-14 22 2W ANOV A 1,21 6.5 3.0e-4
g Figure 3C 4,9 AH-TTX PIC On. V olt. P7-14 22 2W ANOV A 1,21 25.1 6.6e-5
h Figure 3E 4,9 AH-TTX Delta I P7-14 21 2W ANOV A 1,20 15.4 9.1e-4
k Figure 3F 4,9 AH-TTX Firing Types P7-14 21 Kruskal-Wallis 5.9 0.1
l Figure 3G 4,9 AH-TTX Onset I P7-14 21 2W ANOV A 1,20 78.9 2.2e-8
m Figure 3H 4,9 AH-TTX Offset I P7-14 21 2W ANOV A 1,20 62.5 1.4e-7
q Figure 4B Nifedipine PIC Amp. P7-14 17 2W ANOV A 1,15 4.2 0.05
r Figure 4C Nifedipine PIC On. V olt. P7-14 17 2W ANOV A 1,15 1.5 0.23
s Figure 4E Nifedipine Delta I P7-14 23 2W ANOV A 1,22 0.9 0.35
t Figure 4F Nifedipine Firing Types P7-14 23 Kruskal-Wallis 9.3 0.02
u Figure 4G Nifedipine Onset I P7-14 23 2W ANOV A 1,22 1.8 0.2
v Figure 4H Nifedipine Offset I P7-14 23 2W ANOV A 1,22 0.6 0.45
w text Nif. + TTX PIC Amp. 10-13 7 t-test 6 4.5 0.004
x text Nif + TTX Delta I 10-13 8 t-test 7 1.1 0.3
y Figure 5B Muscarine PIC Amp. P10-14 10 Paired t-test 9 5.2 5.1e-4
z Figure 5C Muscarine PIC On. V olt. P10-14 10 Paired t-test 9 0.8 0.5
aa Figure 5E Muscarine Delta I P10-14 15 Mixed Effect ANOV A 1.9, 20.7 16.6 5.3e-5
bb Figure 5F Muscarine Firing Types P10-14 15 Wilcoxon test -78 4.9e-4
cc Figure 5G Muscarine Onset I P10-14 15 Mixed Effect ANOV A 0.007, 0.08 0.5 0.1
dd Figure 5H Muscarine Offset I P10-14 15 Mixed Effect ANOV A 1.1.12.4 5.6 0.03
ee Figure 6B XE991 PIC Amp. P10-14 5 Paired t-test 4 7.5 0.002
ff Figure 6C XE991 PIC On. V olt. P10-14 5 Paired t-test 4 3.8 0.002
gg Figure 6E XE991 Delta I P10-18 10 Paired t-test 9 2.3 0.04
hh Figure 6F XE991 Firing Types P10-18 10 Wilcoxon test -45 0.004
ii Figure 6G XE991 Onset I P10-18 10 Paired t-test 9 3.6 0.006
jj Figure 6H XE991 Offset I P10-18 10 Paired t-test 9 0.4 0.7
kk Figure 6J ICA73 +XE991 Delta I P10-18 11 Mixed Effect ANOV A 1.1, 8.2 31.5 3.5e-5
ll Figure 6K ICA73 +XE991 Firing Types P10-18 11 Kruskal-Wallis 18.6 9.3e-5
mm Figure 6L ICA73 +XE991 Onset I P10-18 11 Mixed Effect ANOV A 1.1,8.2 12.1 0.007
nn Figure 6M ICA73 +XE991 Offset I P10-18 11 Mixed Effect ANOV A 1.1, 8.2 2.5 0.15
oo Text Retigabine Delta I P10-18 10 Paired t-test 9 4.2 0.002
pp Text Retigabine Onset I P10-18 10 Paired t-test 9 3.2 0.01
qq Text Retigabine Offset I P10-18 10 Paired t-test 9 2.2 0.06
rr Text Retigabine Firing Types P10-18 10 Wilcoxon test 6 0.25
ss Figure 7C Tityustoxin Delta I P10-14 13 Paired t-test 12 4.4 9.5e-4
tt Figure 7D Tityustoxin Firing Types P10-14 13 Wilcoxon test -49 0.02
uu Figure 7E Tityustoxin Onset I P10-14 13 Paired t-test 12 2.5 0.03
vv Figure 7F Tityustoxin Offset I P10-14 13 Paired t-test 12 0.9 0.4
ww Figure 8B ZD7288 Ih Amplitude P14-20 11 Paired t-test 10 3.6 0.005
xx Figure 8D ZD7288 Delta I P14-20 10 Paired t-test 9 2.9 0.02
yy Figure 8E ZD7288 Firing Types P14-20 10 Paired t-test 28 0.02
zz Figure 8F ZD7288 Onset I P14-20 10 Paired t-test 9 2.9 0.02
aaa Figure 8G ZD7288 Offset I P14-20 10 Paired t-test 9 3.1 0.01
bbb Figure 8K ZD7288 PIC Amp. P14-20 10 Paired t-test 3 0.2 0.86
ccc Figure 8L ZD7288 PIC On. V olt. P14-20 10 Paired t-test 3 2.5 0.04
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Table 2: Developmental analysis of PIC and recruitment-derecruitment hysteresis. Data are presented as mean ± SD.
Superscript numbers indicate significant differences within motoneuron subtypes between P7-9 (1), P10-13 (2), or P14-20
(3). Asterisks denote significant differences between motoneuron subtypes within each developmental stage with *p<0.05,
**p<0.01, ***p<0.001, ****p<0.00001.
Parameter MN type P7-9 P10-13 P14-20
PIC Amplitude Delayed -119±1172,3 -395±2291 -476±2181
Immediate -119±74 -199±160** -293±170*
PIC On V oltage Delayed -51±3.9 -51±4.3 -49±4.8
Immediate -58±4.3*** -58±5.9*** -58±4.9***
PIC Amp. At Spike TH Delayed -192±106 -300±218 -273±176
Immediate -102±95 -181±174 -238±123
Prop. PIC at Spike TH Delayed 0.7±0.23 0.67±0.24 0.69±0.28
Immediate 0.68±0.28 0.62±0.35 0.72±0.34
Delta I (pA) Delayed -205±902,3 -294±1231 -318±1421
Immediate -38±99**** 14±31**** 27±126****
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Table 3: Pharmacological manipulation of PIC measured in voltage clamp and recruitment-derecruitment
hysteresis measured in current clamp. Data are presented as mean ± SD. Asterisks denote significant differences
between drug and baseline conditions with *p<0.05, **p<0.01, ***p<0.001, ****p<0.00001.
Experiment Parameter Age No. of MNs Baseline Drug
4,9 AH-TTX PIC Amp P7-9 10 -341±225 -200±156**
P10-13 12 -529±270 -348±313**
PIC On. V olt. P7-9 10 -54±7.6 -46±5.3**
P10-13 12 -50±3.3 -47±5.8*
Delta I P7-9 10 -271±167 -328±190*
P10-13 11 -300±152 -367±196*
Ion P7-9 10 657±370 934±442***
P10-13 11 884±474 1243±569***
Ioff P7-9 10 385±266 607±332**
P10-13 11 581±394 886±473***
Nifedipine PIC Amp P7-9 9 -198±146 -172±83.4
P10-13 8 -388±225 -243±183*
PIC On. V olt. P7-9 9 -51±5.5 -51±8.1
P10-13 8 -51±5.9 -57±13
Delta I P7-9 12 -196±118 -182±79
P10-13 11 -283±112 -235±181
Ion P7-9 12 603±331 558±231
P10-13 11 775±510 680±528
Ioff P7-9 12 421±306 507±187
P10-13 11 453±463 448±401
Nifedipine + 4,9
AH-TTX
PIC Amp P10-13 7 -392±108 -169±108*
PIC On. V olt. P10-13 7 -50±5.8 -48±6.5**
Delta I P10-13 8 -182±63 -212±89
Ion P10-13 8 574±287 712±432*
Ioff P10-13 8 392±303 499±447
Muscarine PIC Amp P10-13 10 -522±337 -796±404****
PIC On. V olt. P10-13 10 -42±9.9 -44±10.1
Delta I P10-13 15 -246±127 -56±150****
Ion P10-13 15 568±355 577±316
Ioff P10-13 15 323±284 521±290**
XE991 PIC Amp P10-13 5 -387±237 -670±266**
PIC On. V olt. P10-13 5 -46±3.6 -51±4.4*
Delta I P10-13 10 -179±180 -3.9±231*
Ion P10-13 10 702±470 477±370**
Ioff P10-13 10 523±326 473±425
ICA73 Delta I P10-13 11 -182±93 -271±135**
Ion P10-13 11 750±397 838±432*
Ioff P10-13 11 567±363 567±363
Retigabine Delta I P10-13 10 -173±71 289±117**
Ion P10-13 10 825±463 1140±425*
Ioff P10-13 10 652±420 849±344
Tityustoxin Delta I P10-13 13 -305±193 -10±182****
Ion P10-13 13 902±489 673±572*
Ioff P10-13 13 599±391 694±495
ZD7288 Ih Amp. P14-20 11 -89±95 13.9±14.2**
Delta I P14-20 10 -242±70 -300±94**
Ion P14-20 10 929±585 567±478*
Ioff P14-20 10 686±814 269±414*
PIC Amp P14-20 4 -598±97 -558±109
PIC On. V olt. P14-20 4 -47±2.5 -54±3.3*
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Discussion
The present study examined the developmental maturation of persistent inward currents (PICs) and their
relationship to non-linear firing dynamics leading to recruitment–derecruitment and firing hysteresis in
lumbar spinal motoneurons of the postnatal mouse. Although PICs are widely assumed to be the primary
determinant of sustained firing hysteresis in motoneurons (Hounsgaard & Kiehn, 1989; Li & Bennett, 2003;
Heckman et al., 2008b), alternative mechanisms have not been tested directly. This issue is particularly
important because recruitment –derecruitment hysteresis measured in human motor units is commonly
quantified using ΔF from paired motor unit recordings during triangular isom etric contractions and
interpreted as an index of PIC amplitude or neuromodulatory drive (Gorassini et al., 2002; Heckmann et
al., 2005; Heckman et al., 2008a, 2008b; Goodlich et al., 2024; Mesquita et al., 2024). Here we addressed
three related hypotheses. First, that developmental increases in PIC amplitude underlie the emergence of
recruitment–derecruitment hysteresis during the onset of hindlimb weight bearing (Clarac et al., 2004;
Quinlan et al., 2011; Sharples & Miles, 2021). Second, that altering PIC amplitude through pharmacological
manipulation of NaV1.6 and L -type calcium channels would produce predictable changes in firing
hysteresis (Carlin et al. , 2000; Li & Bennett, 2003; Li et al. , 2004) . Third, that other conductances —
particularly those mediated by potassium and HCN channels —may shape hysteresis by modifying the
balance between recruitment and derecruitment currents (Manuel et al., 2007; Bos et al., 2018; Sharples &
Miles, 2021; Sharples et al., 2023; Harris -Warrick et al., 2024). The conceptual advance of this study is
that it directly tests the long-standing assumption that PIC amplitude determines hysteretic firing behaviour.
Our results partially supported the first hypothesis but challenged the latter two. PIC amplitude and
recruitment–derecruitment hysteresis increased in parallel in fast -type delayed firing motoneurons during
the onset of weight bearing, whereas slow-type immediate firing motoneurons showed little developmental
change. However, although NaV1.6 and L -type calcium channels contributed substantially to PIC
amplitude, manipulating these currents did not alter recruitment –derecruitment or firing hysteresis
(Bouhadfane et al., 2013; Sharples & Miles, 2021; Drouillas et al., 2023). Moreover, pharmacological
manipulations that increased PIC amplitude did not produce the predicted increase in sustained firing
hysteresis; notably, muscarine increased PIC amplitude while paradoxically reducing recruitment –
derecruitment hysteresis and promoting adaptive firing hysteresis (Revill et al., 2019; Sharples et al., 2023).
Instead, potassium channels—including KCNQ and Kv1.2 —strongly shaped hysteretic firing by altering
the balance of onset and offset currents during recruitment and derecruitment (Bos et al., 2018; Verneuil et
al., 2020; Singh et al. , 2025) . Finally, HCN channels limited the emergence of bistable firing in fast
motoneurons by the third postnatal week (Manuel et al., 2007; Sharples & Miles, 2021) . Together these
findings indicate that although PICs and firing hysteresis mature together during development, sustained
hysteretic firing cannot be attributed solely to PIC amplitude. Instead, hysteresis emerges from interactions
between inward and outward currents that shape recruitment–derecruitment asymmetry.
Developmental emergence of PICs and hysteresis
Hindlimb weight-bearing is a pivotal behavioral milestone in rodents, emerging toward the end of the
second postnatal week (Altman & Sudarshan, 1975; Brocard et al., 1999). It requires sustained activation
of postural motor units to support antigravity function, and it has long been proposed that maturation of
dendritic PICs underlies this transition by enabling motoneurons to produce sustained action potential
discharge following transient excitatory inputs. Consistent with this view, we observed a developmental
increase in both PIC amplitude and recruitment –derecruitment hysteresis specifically in delayed firing
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motoneurons during the onset of weight bearing. Despite the increase in PIC amplitude and delta I, the
proportion of Types 1 –4 firing hysteresis remained relatively stable across postnatal development. These
findings agree with prior work showing that PICs become more prominent in motoneurons around the
second postnatal week and contribute to enhanced excitability , however the changes in delta I before the
end of the second week are relatively subtle (Quinlan et al., 2011; Sharples & Miles, 2021) . However, a
surprising feature of our results, which is in line with recent findings from Harris -Warrick and colleagues
(Harris-Warrick et al., 2024), is that the developmental increase in PIC amplitude was most pronounced in
delayed firing motoneurons, considered fast-type, rather than in immediate firing slow -type motoneurons
that innervate fatigue-resistant units thought to be essential for postural tone. Human studies similarly report
larger PIC estimates (ΔF ) in higher threshold motor units and in muscles enriched with fast motor units,
such as tibialis anterior, compared with muscles more involved in postural control such as soleus (Orssatto
et al., 2021; Jenz et al., 2023; Škarabot et al., 2025). Although differences in firing rates between fast and
slow muscle types could influence ΔF estimates in humans, our results suggest that the functional role of
PICs extends beyond slow motor unit stabilization and may contribute to dynamic amplification or rapid
recruitment strategies in fast units. Thus, while PICs increase during the period when weight -bearing
emerges, their distribution across motoneuron subtypes challenges classical assumptions and calls for a
reassessment of their role in postural versus phasic motor control.
PIC amplitude does not dictate firing hysteresis
Although PIC amplitude and sustained firing hysteresis increased in parallel during development, our
pharmacological experiments demonstrate that PIC amplitude alone does not determine sustained hysteretic
firing. Blocking NaV1.6 or L-type calcium channels significantly reduced PIC amplitude but did not reduce
impact firing hysteresis (Sharples & Miles, 2021; Drouillas et al. , 2023) . Similarly, co -blockade that
reduced PIC amplitude by nearly 60% failed to change firing hysteresis in a predictable way. Conversely,
muscarine nearly doubled PIC amplitude yet promoted adaptive firing hysteresis by selectively increasing
offset current. Together these results indicate that hysteresis is not linearly —or even directly—related to
PIC magnitude. This finding contrasts with the canonical model in which suggests that PIC activation drives
sustained counterclockwise hysteresis in motoneuron firing (Hounsgaard et al., 1984; Hounsgaard & Kiehn,
1989; Hultborn et al., 2003; Heckman et al., 2003). This model is supported by classic studies in cats and
turtles showing bistable firing and plateau potentials dependent on dendritic L-type calcium channels under
strong neuromodulatory drive (Hounsgaard & Kiehn, 1989; Carlin et al., 2000; Hultborn et al., 2003; Bui
et al., 2006; Elbasiouny et al., 2006; Heckman et al., 2008a). Our data suggest that in neonatal mouse
motoneurons, particularly in slice preparations with reduced neuromodulatory tone, PIC amplitude alone is
insufficient to explain recruitment–derecruitment nonlinearities. Instead, other ionic mechanisms appear to
provide critical shaping of firing hysteresis (Manuel et al., 2007; Bos et al., 2018), which could account for
examples where motoneurons produce positive delta I values and adaptive firing hysteresis despite the
presence of robust PICs (Revill et al., 2019). One interpretation of these findings is that PICs provide the
inward drive necessary for sustained firing but do not themselves determine the asymmetry between
recruitment and derecruitment that defines hysteresis. Alternatively, computational studies in spired by
experimental work in the stomatogastric ganglion have elegantly demonstrated that degenerate circuit
mechanisms can produce similar network outputs, such that distinct combinations of intrinsic and synaptic
conductances generate comparable firing patterns (Prinz et al., 2004; Mellen, 2008). These findings raise
the possibility that similar degeneracy may exist in spinal motoneurons, where multiple ionic mechanisms
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could give rise to firing behaviors—such as hysteresis or sustained discharge—that are often interpreted as
signatures of persistent inward currents.
Potassium channels shape recruitment–derecruitment asymmetry
If PICs alone do not determine firing hysteresis, then other conductances that influence membrane potential
near spike threshold may play a key role in shaping these firing behaviors. Potassium channels are strong
candidates in this regard because they regulate excitability in the subthreshold voltage range (Deardorff et
al., 2021) and are well positioned to differentially influence onset and offset currents during recruitment
and derecruitment.
In the present study, we identified KCNQ and Kv1.2 channels as modulators of hysteretic firing. KCNQ
channels, which conduct the M -type potassium current, are ideally positioned to counteract PICs due to
their subthreshold activation and non-inactivating outward current (Brown & Adams, 1980; Verneuil et al.,
2020; Singh et al., 2025; Gaudreau & Bui, 2026). We found that blocking KCNQ channels increased PIC
amplitude but paradoxically reduced hysteresis, whereas activation of KCNQ channels enhanced hysteresis
and shifted firing toward sustained counterclockwise patterns. These results highlight that outward currents,
far from simply opposing inward currents, can create the conditions for recruitment –derecruitment
hysteresis by differentially influencing onset versus offset currents for firing. Kv1.2 channels provide an
additional complementary mechanism. The ir rapid activation and slow inactivation underlie the delayed
firing phenotype of fast motoneurons (Bos et al., 2018) and we hypothesized that their slow inactivation
would support sustained firing on the descending limb of the ramp. While blocking Kv1.2 channels reduced
delta I and shifted firing from sustained to more adaptive patterns as expected, it did so by decreasing onset
current without impacting the offset current. Nevertheless, these results point to potassium currents at the
axon initial segment as critical determinants of hysteretic firing. These findings align with growing evidence
that motoneuron input–output nonlinearities are strongly influenced by potassium channel kinetics (Manuel
et al., 2014; Leroy et al., 2015; Deutsch & Elbasiouny, 2024; Molkov et al., 2025). Importantly, these
Results
shift the explanatory framework: rather than attributing firing hysteresis solely to dendritic PICs,
our findings suggest that potassium channels —particularly those localized to the axon initial segment —
shape recruitment–derecruitment asymmetry and therefore strongly influence the expression of sustained
firing behaviors.
HCN channels limit bistable firing
By the third postnatal week, fast motoneurons develop a resting H -current that delays their recruitment
(Sharples & Miles, 2021). Strikingly, blocking HCN channels in the present study produced bistable firing
in nearly half of fast motoneurons, an observation that is consistent with previous reports of increased
bistability in resonant motoneurons - a key property medicated by HCN channels (Manuel et al., 2007). In
a subset of cells, HCN channel blockade also hyperpolarized PIC onset voltage while producing minimal
change in PIC amplitude, suggesting that HCN channels may act as a shunt conductance near resting
membrane potential that delays PIC activation. It is therefore possible that reactivation of HCN channels
during the descending limb of triangular current ramps prevents bistable firing and maintains the temporal
fidelity of synaptic inputs to fast motoneurons. Together these observations suggest that PICs, potassium
channels, and HCN channels act in concert to shape nonlinear motoneuron firing, with their relative
influence depending on developmental stage, neuromodulatory state, and motoneuron subtype.
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23
Neuromodulation as a dynamic regulator of PIC and firing hysteresis
Neuromodulators play a critical role in shaping motoneuron excitability, influencing both normal motor
function and the emergence of aberrant firing in disease states such as spasticity, amyotrophic lateral
sclerosis, and cerebral palsy. Traditionally, the ir effects have been attributed to modulation of PICs.
However, the actions of neuromodulators extend beyond PICs, affecting multiple ionic conductances that
together are likely to define recruitment–derecruitment dynamics and firing hysteresis. Our muscarinic
experiments illustrate this complexity. Muscarine robustly increased PIC amplitude yet paradoxically
promoted adaptive firing hysteresis, an effect that can be explained, at least in part, by inhibition of KCNQ
channels (Revill et al., 2019; Sharples et al., 2023). Consistent with this idea, pharmacological blockade of
KCNQ channels similarly increased PIC amplitude and decreased delta I. Importantly, the underlying
mechanisms differed: KCNQ channel blockade reduced delta I by selectively decreasing onset current
without affecting offset current, whereas muscarine reduced delta I by increasing offset current without
altering onset. This divergence highlights that neuromodulators rarely act on a single channel type; instead,
they simultaneously modify multiple conduc tances, producing net effects that may diverge from simple
predictions based on PIC amplitude alone (Marder, 2011; Perrier et al., 2013; Marder et al., 2014; Sharples
et al., 2014; Nascimento et al., 2020). Additional targets of neuromodulatory regulation likely include the
sodium–potassium ATPase, which exerts activity-dependent inhibition of motoneuron excitability (Picton
et al., 2017; Hachoumi et al., 2022; Akkuratov et al., 2025; Sharples et al., 2025), which can be modulated
by acetylcholine in the brain (Tiwari et al. , 2018; Mohan et al. , 2019, 2021) , and is a key target of
neuromodulators in spinal networks (Picton et al., 2017; Hachoumi et al., 2022). It is therefore a reasonable
hypothesis that increas ing sodium pump activity would promote adaptive firing hysteresis. In vivo,
serotonergic, cholinergic, and noradrenergic systems converge to regulate both inward and outward
currents, enabling flexible control of motoneuron gain and persistent firing in a behaviorally relevant
context (Heckman et al., 2008a; Goodlich et al., 2023, 2024). Our results are particularly important in the
context of injury and disease where PICs and their neuromodulatory control have been implicated in the
generation of spasticity and motor dysfunction (Murray et al., 2010; ElBasiouny et al., 2010; Quinlan et
al., 2011; D’Amico et al., 2013; Brocard et al., 2016; Steele et al., 2020; Marcantoni et al., 2020; Jiang et
al., 2021; Reedich et al., 2023; Delestrée et al., 2023; Deutsch & Elbasiouny, 2024; Pagiazitis et al., 2025).
These observations therefore set the stage for our findings and future studies, which identify novel ionic
mechanisms—including potassium and HCN channels —that contribute to neuromodulatory control and
may underlie dysfunction in injury and disease.
Methodological considerations
Several caveats should be considered when interpreting our results. Slice preparations limit dendritic
integrity and neuromodulatory input, potentially underestimating the contribution of dendritic PICs (Mousa
& Elbasiouny, 2021) . Somatic current injection may also insufficiently activate distal channels that are
robustly engaged by synaptic inputs in vivo. Recordings were also conducted at sub physiological
temperature, which can not only alter channel kinetics (Bouhadfane et al., 2013), an important consideration
given that temperature-sensitive TRPM5 channels are critical for generating bistability (Bos et al., 2021).
Starting membrane potential also influences the likelihood of self -sustained discharge (Bouhadfane et al.,
2013; Mahrous et al., 2024; Molkov et al., 2025). Nevertheless, we still observed bistable firing at these
temperatures following HCN channel blockade from a starting membrane potential of -60 mV. Together,
these factors indicate that the relative contributions of PICs and outward conductances may vary under
more physiological conditions but do not negate our conclusions. Finally, developmental comparisons were
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24
made in transverse slices; complementary in vivo recordings could confirm whether the changes we
observed translate into functional differences during natural motor behavior (de Lourdes Martínez-Silva et
al., 2025).
Functional implications
Our findings have important implications for understanding motor unit behavior in humans, where ΔF
derived from paired motor unit recordings is widely interpreted as an estimate of PIC amplitude or
neuromodulatory state (Powers et al., 2008; Udina et al., 2010; Revill & Fuglevand, 2011; Vandenberk &
Kalmar, 2014; Powers & Heckman, 2015) . Similarly, several other electrophysiological signatures
commonly interpreted as indicators of PIC activation may also arise from the combined influence of
multiple conductances. For example, analyses of motor unit firing -rate trajectories, including the “brace-
height” metric used to quantify nonlinear acceleration of discharge during voluntary contractions, have
been interpreted as evidence of PIC recruitment in human motoneurons (Beauchamp et al., 2023; Škarabot
et al., 2025). Further, quantification of secondary and tertiary firing ranges in motoneuron and motor unit
firing has also been used to infer the engagement of intrinsic depolarizing conductances that accelerate
discharge once firing is established (Lee & Heckman, 1998; Bennett et al., 1998; Meehan et al., 2010a;
Binder et al., 2020; Afsharipour et al., 2020). Finally, intracellular recordings in animal models frequently
describe a subthreshold acceleration of membrane potential preceding spike threshold, which has likewise
been attributed to the activation of inward currents (Kuo et al., 2006; Delestrée et al., 2014; Jensen et al.,
2020; Sharples & Miles, 2021). However, the specific ionic mechanisms underlying these features have not
been directly tested, and it remains unclear to what extent PICs versus other voltage -dependent
conductances contribute to these dynamics. Together, these observations suggest that many physiological
proxies used to estimate PIC influence on motoneuron output —including ΔF, nonlinear firing -rate
acceleration, and secondary-range discharge behavior—may reflect the emergent behavior of interacting
channel populations rather than the action of a single dominant inward current. Our results suggest that ΔF,
and other non -linear firing properties, may reflect the integrated contribution of multiple intrinsic and
neuromodulatory mechanisms —including potassium and HCN channel dynamics —that sh ape
recruitment–derecruitment asymmetry.
Conclusion
In summary, this study demonstrates that while PIC amplitude and recruitment –derecruitment hysteresis
increase together during postnatal development, PIC magnitude alone does not determine sustained
hysteretic firing. Instead, PICs may provide the inward d rive required for sustained firing, but potassium
and HCN channels determine whether hysteretic firing actually emerges. These findings expand the
traditional PIC-centric view of motoneuron bistability and suggest that sustained firing behaviors arise from
the interaction of multiple inward and outward conductances. This broader framework also has important
implications for the interpretation of ΔF measurements in human motor unit studies, where hysteresis is
often treated as a proxy for PIC amplitude or ne uromodulatory state. From our work, we suggest that ΔF
may reflect the integrated contribution of several intrinsic mechanisms that shape motoneuron input–output
nonlinearities.
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25
Additional Information
Funding: This work was supported by fellowships from The Royal Society (Newton International
Fellowship - NIF\R1\180091), Canadian Institute for Health Research (PDF - 202012MFE - 459188 -
297534), and Wellcome Trust (ISSF - 204821/Z/16/Z) to SAS.
Contributions: Study Conception and Design: SAS, GBM; Data acquisition and analysis: SAS;
Preparation of Figures: SAS; First draft and revision of manuscript: SAS, GBM; All authors approved the
final version of the manuscript.
Acknowledgements
The authors reserve the right to apply a Creative Commons Attribution (CC BY)
licence to any Author Accepted manuscript version arising from this submission.
Competing Interests: None of the authors have any conflicts of interests to declare.
Data Availability Statement: The research data supporting this publication will be made freely available
in an open access data repository following acceptance to a peer-reviewed journal.
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Methods
Animals
This study included unpublished data in addition to reanalysis of experimental data summarised in (Sharples
& Miles, 2021) , which included experiments performed on tissue obtained from 117 (male: n = 55; and
female: n = 62) wild type C57Bl/6J mice at postnatal days (P) 7 -20. We also present unpublished data
obtained from 21 C57Bl/6J mice (P7-13; n = 9 male, n = 12 female) that were included in (Sharples et al.,
2023). This study also included new experimental data obtained from 29 (male: n = 17; and female: n = 12)
wild type C57Bl/6J mice at postnatal days P7 -13. All procedures were conducted in accordance with the
UK Animals (Scientific Procedures) Act 1986. Experiments conducted at the University of St Andrews
were approved by the University of St Andrews Animal Welfare Ethics Committee and were covered under
a Project Licence (PP8253850) approved by the Home Office. All animals were provided with unrestricted
access to food and water and housed in climate-controlled conditions.
Tissue preparation
Animals were sourced from an in -house colony within the St Mary’s Animal Unit at the University of St
Andrews. Animals were killed using Schedule 1 procedures defined by the Home Office by performing a
cervical dislocation followed by rapid decapitation. Animals were then eviscerated and pinned ventral side
up in a dissecting chamber lined with silicone elastomer (Sylguard), filled with ice -cold (1 -2 degrees
Celsius) potassium gluconate based dissecting/slicing aCSF (containing in mM: 130 K-gluconate, 15 KCl,
0.05 EGTA, 20 HEPES, 25 D-glucose, 3 kynurenic acid, 2 Na-pyruvate, 3 myo-inositol, 1 Na-L-ascorbate;
pH 7.4, adjusted with NaOH; osmolarity approximately 345 mOsm) that was continuously bubbled with
carbogen (95% oxygen, 5% carbon dioxide). Spinal cord s were exposed by performing a ventral
vertebrectomy, cutting the dorsal roots and gently lifting the spinal cord from the spinal column. Spinal
cords were removed within 3 - 5 minutes following cervical dislocation. Spinal cords were secured directly
to an agar block (3 % agar) with VetBond surgical glue (3M) and glued to the base of the slicing chamber
with cyanoacrylate adhesive. The tissue was immersed in ice -cold dissecting/slicing aCSF and bubbled
with carbogen. Blocks of frozen slicing solution were also placed in the slicing chamber to keep the solution
around 1-2 degrees Celsius. On average, the first slice was obtained within 10 minutes of decapitation
which increased the likelihood of obtaining viable motoneurons in slices. 300 µm transverse slice s were
cut at a speed of 10 um/s on the vibratome (Leica VT1200) to minimize tissue compression during slicing.
3-4 slices were obtained from each animal. Slices were transferred to a recovery chamber filled with
carbogenated pre-warmed (35 degrees Celsius) recovery aCSF (containing in mM: 119 NaCl, 1.9 KCl, 1.2
NaH2PO4, 10 MgSO4, 1 CaCl, 26 NaHCO3, 20 glucose, 1.5 kynurenic acid, 3% dextran) for thirty minutes
after completion of the last slice which took 10 -15 minutes on average. Following recovery, slic es were
transferred to a chamber filled with warm (35 degrees Celsius) recording aCSF (containing in mM: 127
NaCl, 3 KCl, 1.25 NaH2PO4, 1 MgCl, 2 CaCl2, 26 NaHCO3, 10 glucose), bubbled with carbogen, and
allowed to equilibrate at room temperature (maintain ed at 23 -25 degrees Celsius) for at least one hour
before experiments were initiated.
Whole cell patch clamp electrophysiology
This study includes data from whole -cell patch clamp recordings obtained from a total of 291 lumbar
motoneurons. 219 of these cells were reanalyzed using data published in (Sharples & Miles, 2021). We also
present novel data from motoneurons that were studied in (Sharples et al. , 2023) and included new
experiments on 41 additional motoneurons. In these experiments, spinal cord slices were stabilized in a
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27
recording chamber with fine fibres secured to a platinum harp and visualized with a 40x objective with
infrared illumination and differential interference contrast (DIC) microscopy. A large proportion of the
motoneurons studied were identified based on location in the ventrolateral region with somata greater than
20 µm. Recordings were obtained from a subset of motoneurons that had been retrogradely labelled with
Fluorogold (Fluorochrome, Denver, CO). Fluorogold was dissolved in sterile saline solution and 0.04 mg/g
injected intraperitoneally 24-48 hours prior to experiments(Miles et al., 2005). In addition to recording from
larger FG -positive cells, this approach allowed us to more confidently target smaller motoneurons.
Motoneurons were visualized and whole cell recordings obtained under DIC illumination with pipettes (L:
100 mm, OD: 1.5 mm, ID: 0.84 mm; World Precision Instruments) pulled on a Flaming Brown micropipette
puller (Sutter instruments P97) to a resistance of 2.5 -3.5 MΩ. Pipettes were back -filled with intracellular
solution (containing in mM: 140 KMeSO4, 10 NaCl, 1 CaCl2, 10 HEPES, 1 EGTA, 3 Mg -ATP and 0.4
GTP-Na2; pH 7.2-7.3, adjusted with KOH).
Signals were amplified and filtered (6 kHz low pass Bessel filter) with a Multiclamp 700 B amplifier,
acquired at 20 kHz using a Digidata 1440A digitizer with pClamp Version 10.7 software (Molecular
Devices) and stored on a computer for offline analysis.
Identification of fast and slow motoneuron types
Motoneuron subtypes were identified using a protocol established by (Leroy et al. , 2014) , which
differentiates motoneuron type based on the latency to the first spike when injecting a 5 second square
depolarizing current near the threshold for repetitive firing. Using this approach we were able to identify 2
main firing profiles - a delayed repetitive firing profile with accelerating spike frequency, characteristic of
fast-type motoneurons, and an immediate firing profile with little change in spike frequency, characteristic
of slow-type motoneurons (Figure 1).
All motoneuron intrinsic properties were studied by applying a bias current to maintain the membrane
potential at -60 mV. Values reported are not liquid junction potential corrected to facilitate comparisons
with previously published data (Miles et al., 2007; Quinlan et al., 2011; Durand et al., 2015; Nascimento
et al., 2020, 2024; Smith & Brownstone, 2020; Özyurt et al., 2022; Pocratsky et al., 2023). Cells were
excluded from analysis if access resistance was greater than 20 MΩ or changed by more than 5 MΩ over
the duration of the recording, or if spike amplitude measured from threshold (described below) was less
than 60 mV.
Pharmacology
Nifedipine (20 µM; Tocris) was used to assess the contribution of L -type calcium channels, and 4,9 -
Anhydro Tetrodotoxin (200 nM; Tocris) to assess the contribution of NaV1.6 channels to PIC and
hysteresis. KCNQ channels that underlie the M current were a ctivated with ICA069673 (ICA73: 10 uM;
Tocris) or retigabine (10 uM; Tocris) or blocked with XE991 (10 uM; Tocris). Kv1.2 channels were blocked
with Tityustoxin (800 nM; Alomone). HCN Channels that underlie the H -current were blocked with
ZD7288 (10 uM; Tocris).
Data acquisition and analysis
Passive properties including capacitance, membrane time constant (tau), and input resistance (Ri) were
measured during a hyperpolarizing current pulse that brought the membrane potential from -60 to -70mV.
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Input resistance was measured from the initial voltage trough to minimize the impact of slower acting active
conductances (eg. Ih, sag). The time constant was measured as the time it took to reach 2/3 of the peak
voltage change. Capacitance was calculated by dividing the time constant by the input resistance (C=T/R).
PICs were measured in voltage clamp during slow depolarizing voltage ramps (10 mV/s from -90 to -10
mV) over 8 seconds (Quinlan et al., 2011; Steele et al., 2020; Huh et al., 2021). PIC onset voltage and peak
current amplitude measured from post -hoc leak-subtracted traces as in previous studies (Quinlan et al.,
2011; Steele et al., 2020; Verneuil et al., 2020).
Recruitment-derecruitment and firing hysteresis were measured in current clamp using triangular,
depolarizing current ramps with 5 second rise and fall times (Bennett et al., 2001; Li & Bennett, 2003;
Durand et al., 2015; Steele et al., 2020). Triangular depolarizing current ramps were set to a peak current
of 2 times repetitive firing threshold current (determined with a 100pA/s depolarizing current ramp initiated
from -60 mV). Recruitment-derecruitment hysteresis was measured by calculating the difference (delta I)
between the current at firing onset on the ascending component of the ramp and the current at derecruitment
on the descending component of the ramp. Firing hysteresis was also assessed by examining the frequency-
current trajectories on the ascending and descending components of the ramp. We subdivided cells into 1
of 4 types based on previously-defined criteria identifying the pattern of firing hysteresis on ascending and
descending portions of the ramp (Bennett et al. , 2001) (Type 1: Linear, Type 2: Adapting clockwise
hysteresis, Type 3: Linear Sustained, Type 4: Accelerating sustained Counter -clockwise hysteresis). In
addition, we also identified a fifth firing type following blockade of HCN channels, characterized by
sustained firing that continued beyond the end of the descending portion of the triangular current ramp. In
this fifth firing type, hyperpolarizing current was required to terminate sustained firing.
Research design and statistical analysis
Two factor analysis of variance (ANOVA) was performed to study changes in PIC and recruitment -
derecruitment hysteresis (delta I) in motoneuron subtypes across developmental time points or to determine
effects of pharmacological agents at different developm ental stages. Paired or unpaired t -tests were
performed when comparing two conditions. Firing hysteresis (Types 1 -4) were analyzed with either a
Kruskal-Wallis test when comparing more than two conditions or Wilcoxon test when comparing two
conditions. App ropriate and equivalent nonparametric tests (Mann -Whitney or Kruskal -Wallis) were
conducted when data failed tests of normality or equal variance with Shapiro Wilk and Brown -Forsythe
tests, respectively. Statistical tests were complemented with Hedge’s g to indicate effect sizes, categorized
as small (0.2-0.49), medium (0.5-0.79) and large (>0.8). Individual data points for all cells are presented in
figures with mean ± SD. Statistical analyses were performed using Graph Pad Version 9.0 (Prism, San
Diego, CA, USA). All statistical tests and results are summarized in Table 1 and are annotated in text where
appropriate.
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