Background
optic flow modulates responses of multiple descending interneurons to object 1
motion in locusts 2
3
Short title: Optic flow modulates descending interneuron responses to object motion in locusts 4
5
Sinan Zhang 1*,# and John R. Gray 1 6
7
1 Department of Biology, College of Arts and Science, University of Saskatchewan, Saskatoon, 8
Saskatchewan, Canada 9
# Current address: Department of Medical Genetics, Cumming School of Medicine, University of 10
Calgary, Calgary, Alberta, Canada 11
12
* Corresponding author 13
E-mail:
[email protected] (SZ) 14
15
16
17
18
19
20
21
22
23
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2
Abstract
24
Animals flying within natural environments are constantly challenged with complex visual 25
information. Therefore, it is necessary to understand the impact of the visual background on the 26
motion detection system. Locusts possess a well-identified looming detection pathway, 27
compromised of the lobula giant movement detector (LGMD) and the descending contralateral 28
movement detector (DCMD). The LGMD/DCMD pathway responds preferably to objects on a 29
collision course, and the response of this pathway is affected by the background complexity. 30
However, multiple other neurons are also responsive to looming stimuli. In this study, we 31
presented looming stimuli against different visual backgrounds to a rigidly-tethered locust, and 32
simultaneously recorded the neural activity with a multichannel electrode. We found that the 33
number of discriminated units that responded to looms was not affected by the visual 34
background. However, the peak times of these units were delayed, and the rise phase was 35
shortened in the presence of a flow field background. Dynamic factor analysis (DFA) revealed 36
that fewer types of common trends were present among the units responding to looming stimuli 37
against the flow field background, and the response begin time was delayed among the common 38
trends as well. These results suggest that background complexity affects the response of multiple 39
motion-sensitive neurons, yet the animal is still capable of responding to potentially hazardous 40
visual stimuli. 41
42
Keywords
43
motion detection, optic flow, population coding, Locusta migratoria 44
45
46
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Introduction
47
Successful navigation in the natural environment requires animals to rapidly perceive and extract 48
important sensory cues, usually from a complex, “noisy” background. For example, self-motion 49
of animals generates optic flow, which is defined as the pattern of image shifts caused by the 50
motion of the observer [1]. Although animals can use optic flow to control locomotion speed and 51
correct for deviations in flight orientation [2–5], the presence of optic flow also makes it more 52
difficult to observe other moving objects, such as an approaching predator. Successful detection 53
and discrimination between different types of visual motion is critical to animal’s survival. 54
In mouse retina, four subtypes of direction-sensitive ganglion cell (DSGC) are involved in the 55
encoding of optic flow [6]. Each subtype of DSGC is selectively sensitive to optic flow along a 56
specific translatory orientation, including forward, backward, up, and down. Combination of 57
these subtypes can also encode rotatory degrees of freedom. Flying animals, however, 58
manoeuvre in additional degrees of freedom, including but not limited to vertical translation and 59
roll, neither of which is commonly executed by land animals. Therefore, flying animals need to 60
process more complicated optic flow parameters. With a relatively tractable nervous system and 61
capability to perform complex behaviours, insects are ideal subjects to study the neural coding of 62
complex visual backgrounds. In flies, similar to mice, four types of direction-sensitive neurons 63
are involved in the computation of the optic flow direction [7]. 64
The migratory locust, Locusta migratoria, is another classic subject for studying visual 65
processing. Migratory locusts have two morphological states: the solitary state and the 66
gregarious state. In the gregarious state, locusts can form large swarms, comprised of thousands 67
of individuals, and fly ~3 meters·s-1 [8]. With conspecifics moving around at various velocities 68
from different angles, along with the flow field generated from self-motion, locusts flying in a 69
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swarm can still avoid collision with conspecifics [9] and predatory birds [10]. In locusts, an 70
established neural pathway, including the lobula giant movement detector (LGMD) and its 71
postsynaptic partner, the descending contralateral movement detector (DCMD), has been 72
identified to respond preferably to objects on a collision course [11–14]. 73
The LGMD/DCMD pathway is considered to play an important role in generating collision 74
avoidance behaviours. Each LGMD receives input from an entire compound eye [15]. When 75
presented with an approaching object, the LGMD responds with increased firing rate, which 76
peaks near the projected time of collision (TOC) and then decays [16–21]. Each LGMD spike 77
generates a spike in the DCMD [22], which synapses with the motor center related to avoidance 78
behaviours [23]. Different phases of responses recorded in the LGMD/DCMD pathway have 79
been associated with critical timing of avoidance behaviours, such as jumping [24] and flight 80
steering [25]. 81
Addition of visual background affects the response of the LGMD/DCMD pathway to looming 82
objects. In the LGMD, the number of spikes evoked by small looming objects is inhibited by the 83
presence of large-field optic flow [13,26,27]. In the DCMD, although the general peak response 84
is largely invariant between background types, flow field still caused a lower peak firing rate, 85
delayed peak time, shorter rise phase, and longer fall phase [28]. 86
Previously, we investigated putative population coding of motion sensitive neurons in response 87
to objects moving against a simple white background [29]. To further understand how motion 88
sensitive neural ensembles behave in a more natural environment, we presented a looming 89
stimulus approaching against different backgrounds to rigidly-tether locust and recorded the 90
simultaneous activity of multiple descending interneurons. Overall, most discriminated units 91
responded to looming stimuli regardless of background types, but the distribution of different 92
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types of response was affected. For individual units that peaked near TOC, as well as common 93
trends that peaked near TOC, the peak time and/or the response begin time was delayed by the 94
flow field background. 95
96
97
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Materials and methods
98
Animals 99
Twenty-one adult male locusts (Locusta migratoria) were chosen from a colony maintained at 100
the University of Saskatchewan, Saskatoon, Canada, ensuring that they were at least 3 weeks 101
past the imaginal moult. These locusts were fed with a diet consisting of wheat grass and bran 102
and were subjected to a regular light-dark cycle of 12 hours of light and 12 hours of darkness at 103
an approximate temperature of 30 ° C. To maintain the gregarious state, the locust colony was 104
kept in a crowded condition [30]. 105
106
Preparation 107
During the light cycle, the locusts were carefully removed from the colony and transferred to a 108
wire mesh container. To provide both light and warmth, an incandescent lamp was placed on top 109
of the container. The experiments were conducted at a controlled room temperature of 110
approximately 25 ° C. 111
To prepare the locust for the experiments, the legs were first removed, and a rigid tether was then 112
securely attached to the ventral surface of the thorax using melted beeswax. A small portion of 113
the ventral cervical cuticle was removed to expose the paired connectives of the ventral nerve 114
anterior to the prothoracic ganglion. The prepared locust was then transferred to the stimulus 115
arena [31] (Fig 1.A). A silver wire hook electrode was used to lift and stabilize the left ventral 116
nerve cord. Subsequently, a sharp glass electrode was carefully inserted into the protective 117
sheath surrounding the left nerve cord, creating a small opening. A twisted wire tetrode, 118
fabricated following an established protocol [32], was then inserted into the left nerve cord 119
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anterior to the hook electrode (Fig 1.B). Finally, a silver ground wire was inserted into the 120
abdomen. 121
122
Fig 1. Experimental setup and visual stimuli. 123
(A) The stimulus arena with the dome screen closed. (B) The locust preparation with tetrode 124
inserted (inset). (C) Diagram of the experimental setup. Visual stimuli were rendered and 125
projected onto the dome screen while neural activity was recorded simultaneously. A 5-V pulse 126
was used to align the neural recordings with stimulus timing. (D) Visual stimuli used in the 127
experiment. The first three visual stimuli included a 7-cm-diameter black disc approaching at 128
300 cm· s-1 from the bottom right at 45° angle, against three visual backgrounds: white (LW), 129
half-white and half-grey (LG), and flow field (LF). The last visual stimulus was composed of 130
flow field only (F). Each visual stimulus was presented 5 times and the order of all 20 visual 131
stimuli was randomized for each locust. 132
133
Neural responses were observed while waving a hand to verify a high signal-to-noise ratio. A 134
mixture of mineral oil and Vaseline was then applied around the electrodes and nerve cords to 135
insulate the recordings from the hemolymph and prevent desiccation. The entire setup was 136
rotated 180° , placing the locust in a dorsal-side-up position at the center of the rear projection 137
dome screen (Fig 1.C). The longitudinal axis of the locust was aligned parallel to the apex of the 138
dome, with a distance of 12 cm between the locust's eye and the screen. In this orientation, 0° 139
represented the front of the locust, 180° represented the direction directly behind, and +90° 140
represented a perpendicular angle to the right longitudinal axis of the locust's body. Negative 141
perpendicular angles were to the left of the locust. 142
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143
Visual Stimulus 144
Visual stimuli were generated using a Python-based program EVSG [33]and incorporated 145
correctional factors to account for the curvature of the dome screen. The resolution of the stimuli 146
was set at 1024× 768 pixels. Each pixel on the screen corresponded to approximately 0.7 mm, 147
resulting in a subtense angle of approximately 0.4° , which is well below the angular resolution of 148
locusts' eyes (1° ) [34]. 149
Real-time rendering of the images was performed using a GeForce RTX 3080 video card 150
(NVIDIA Corporation, Santa Clara, United States), achieving a frame rate of over 150 frames 151
per second. The images were then projected onto the dome screen using an InFocus DepthQ 152
projector (InFocus, Portland, United States) with the colour wheel removed. The frame rate of 153
the projections exceeded the flicker fusion frequency of locusts' eyes, which is around 66 Hz 154
[35]. 155
A 5V pulse was generated at the projected time of collision (TOC), which was automatically 156
calculated based on the motion trajectory of the visual stimuli. This pulse was used to align 157
different trials. 158
In all visual stimuli, the backgrounds were divided vertically into two equal halves, simulating a 159
horizon line positioned at 0° elevation. The top half was rendered in solid white (R = 0, G = 0, B 160
= 0), while the bottom half was either solid white (LW), solid grey (LG, R = 100, G = 100, B = 161
100), or a flow field (LF), composed of grey concentric circles (R = 100, G = 100, B = 100) 162
expanding outward from the center of the dome below the horizon line. The Michelson contrast 163
ratio between the grey and the white backgrounds was 0.87. (Fig 1.D). Against each background, 164
a 7-cm diameter black disc (R=255, G = 255, B = 255) approached the locust at a velocity of 300 165
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cm·s-1 (looming) from the bottom right at 45° azimuth and -45° elevation.The trajectory of the 166
looming disc was designed so that it remained within the lower half of the dome screen for the 167
majority of its motion. Additionally, a fourth visual stimulus (F) consisted of only the flow field 168
below the horizon line. 169
Each visual stimulus was presented 5 times, resulting in a total of 20 presentations, the order of 170
which was randomized for each locust. To prevent neural habituation, the visual stimuli were 171
presented with a 3-minute interval between each presentation. Additionally, a direct loom was 172
presented before and after the sequence of the 20 presentations to ensure that no attenuation of 173
the neural responses occurred during the length of the experiment. 174
175
Data Acquisition 176
The neural signals from all 5 channels, including 1 channel from the silver hook electrode and 4 177
channels from the twisted wire tetrode, were amplified using a differential amplifier (Model 178
1700, A-M Systems, Sequim, United States) with a high pass filter at 300 Hz, a low pass filter at 179
5 kHz, and a gain of 100× . These amplified neural signals, along with the stimulus pulse, were 180
then digitized using a USB data acquisition board (DT9818-OEM, TechmaTron Instrument Inc., 181
Laval, Canada) and recorded at a sampling rate of 25 kHz per channel using DataView version 182
11 (W.J. Heitler, University of St Andrews, St Andrews, Scotland). 183
184
Spike Sorting 185
Raw recordings were merged chronologically into a single file and then filtered using a Finite 186
Impulse Response (FIR) filter with a bandpass range of 500-2000 Hz and a Blackman window 187
type using DataView. The filtered data from the four channels of the tetrode was exported to 188
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Offline Sorter version 4.6 (Plexon Inc., Dallas, United States) for waveform detection and spike 189
sorting. The waveform detection threshold was set to three times the standard deviation over the 190
mean of each channel, and the detected waveforms were aligned to the largest peak on either 191
side. Spike sorting was performed using a semi-automatic method based on the T-Dist E-M 192
algorithm [36]. The degree-of-freedom (DOF) multiplier was set to 3, and the initial sorting was 193
performed with 26 units in the 3D feature space. Subsequently, manual discrimination was based 194
on the shape and amplitude of the waveforms for final unit sorting. A Multivariate Analysis of 195
Variance (MANOVA) was used to assess the statistical distinctness of the sorted units in the 3D 196
cluster space (Fig 2.B). 197
198
Fig 2. Spike sorting and identification of responsive units. 199
(A) Raw recording from the hook electrode, the stimulus event pulse (stim), and the tetrode are 200
shown on the top. Waveforms were detected using average plus three times the standard 201
deviation as the threshold, and sorted based on the cluster variance in the 3D feature space. Spike 202
sorting results from the same recording time window (tetrode sorted) is shown underneath the 203
raw recordings. Each colour represents a different unit. (B) Overlapped waveforms of three units 204
recorded from all four channels of the tetrode (top), and the distribution of the same units in the 205
3D feature space (bottom). (C) Identification of responsive units. For each discriminated unit, the 206
peristimulus time histogram (PSTH), representing the change of firing rate during the stimulus 207
presentation, is shown on the bottom of each block. The cumulative sum and 99% confidence 208
level (represented by the ellipses) are plotted on the top half of each block. If the cumulative sum 209
(represented by the line inside the ellipse) extended outside the ellipse (example shown in the 210
orange shade), this unit was determined to have responsed to the specific visual stimulus. If the 211
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cumulative sum remained within the ellipse for the entire duration (example shown in the blue 212
shade), this unit was determined to have not nonresponded. Note that not all units generated 213
spikes during this stimulus presentation. Inactive and non-responsive units were removed from 214
subsequent analyses. 215
216
Spike Train Analysis 217
The spike times of discriminated units were exported to NeuroExplorer Version 5 (Plexon, 218
Dallas, United States) for further analysis. Peristimulus time histograms (PSTHs) were generated 219
using a 1-ms bin width and smoothed with a 50-ms Gaussian filter. All trials were aligned to the 220
projected time of collision (TOC). For trials involving a looming disc, a 2.2-second window was 221
used, starting 2 seconds before TOC, and ending 0.2 seconds after TOC. For trials with the flow 222
field only, a 10-second window was employed, spanning 5 seconds before the flow field onset 223
and ending 5 seconds after. 224
To evaluate the responsiveness of individual units, cumulative sum plots were created along with 225
an ellipse representing the 99% confidence level (Fig 2.C). The cumulative sum was calculated 226
in NeuroExplorer using the following algorithm: 227
For bin 1: cs(1) = bc(1) - A; 228
For bin 2: cs(2) = bc(1) + bc(2) - A× 2; 229
For bin 3: cs(3) = bc(1) + bc(2) + bc(3) - A× 3; 230
... 231
In this algorithm, cs(n) represents the cumulative sum of the n-th bin, bc(n) represents the spike 232
bin count of the n-th bin, and A represents the average of all bin counts. If the cumulative sum 233
remained within the 99% confidence level ellipse, it indicated that the firing rate of the 234
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corresponding unit did not exhibit a significant change during the stimulus presentation, 235
implying that the unit did not respond to the visual stimulus. Conversely, if the cumulative sum 236
touched or extended beyond the ellipse, it was considered responsive to the visual stimuli [37–237
39]. Units that did not exhibit a response were excluded from subsequent analyses. 238
239
Dimensionality Reduction 240
The responses of individual units were first examined to determine how many types of visual 241
stimuli that each unit responded to. Between different animals, the same neuron could have been 242
recorded multiple times. Therefore, we pooled the responsive units across all animals based on 243
the visual stimulus. For each stimulus, the response types were initially categorized by observing 244
the peristimulus time histogram (PSTHs) of individual units. The categorization was adopted 245
from previous studies [37,38]. Firing parameters, including peak firing rate, peak time, rise phase 246
(from the time when the unit firing rate exceeded the upper 95% confidence interval to the peak 247
time), and decay phase (from the peak time to when the firing rate decayed below 15% of the 248
peak firing rate) [20,40], were measured from the PSTHs of those units that displayed a clear 249
peak, and compared between different backgrounds. 250
Dynamic Factor Analysis (DFA) was then used to extract common trends from the responsive 251
units for each visual stimulus [37,41]. In this model, a set of n observed time series (y) (units) is 252
explained by a set of m hidden random walks (x) (common trends) through linear combination, 253
represented by factor loadings (Z) and offsets (a). The model equations can be written as 254
follows: 255
256
yt = Z × xt + a + vt, where vt ~ MVN (0, R) 257
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xt = x(t-1) + wt, where wt ~ MVN (0, Q) 258
259
In the model, the error terms of hidden processes (x) (common trends) and observations (y) 260
(units) were represented by wt and vt, respectively. Both wt and vt follow a multivariate normal 261
distribution (MVN), with a mean of 0 and covariate metrices of R and Q, respectively. To 262
identify the model, certain constraints were applied: the first m elements of a were set to 0, zi,j 263
was set to 0 if j > i for the first m-1 rows of Z, and Q was set to the identity matrix Im. 264
DFA was performed using the MARSS package v3.11.4 [42] in R 4.1.3 (R Core Team, 2022), 265
using the Broyden–Fletcher–Goldfarb–Shanno (BFGS) method. The model quality was 266
evaluated using the Akaike Information Criterion with a correction for small sample size (AICc) 267
[43]. For each visual stimulus, DFA was iteratively performed, starting with one common trend. 268
The number of common trends gradually increased until AICc began to increase, and the model 269
with the lowest AICc was selected as the optimal model. 270
The extracted common trends were further analyzed. The factor loadings (Z) of each common 271
trend were used to rectify any potentially reversed trends and scale the common trends. 272
According to the DFA model, yt = Z × xt + a + vt, for the i-th common trend ((xT)i) and the 273
corresponding factor loadings (Zi), if (xT)i was multiplied by a scale factor, while Zi was divided 274
by the same scale factor, the overall model is not affected. The sign of the scale factor was 275
determined by the average of Zi, while the value was determined by the largest absolute value 276
among all elements within Zi. If the average of Zi was negative, it indicates that the common 277
trend contributes negatively to most unit responses (observations), and therefore reversing the 278
sign would make the common trend consistent with the majority of units. The value was chosen 279
to scale all factor loadings to (-1, 1), and therefore, to make the scale of all common trends 280
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comparable to each other. For common trends showing clear peaks, various parameters, such as 281
peak time, rise phase, and decay phase, were measured from the PSTHs. These parameters were 282
then compared between different backgrounds. 283
284
Statistical Analysis 285
Statistical analyses were executed using SigmaPlot version 12.5 (Systat Software, San Jose, 286
USA) or R 4.1.3 (R Core Team, 2022), and plotted using SigmaPlot. Prior to applying specific 287
tests, datasets were preliminarily assessed for normal distribution (Shapiro-Wilk test) and 288
homoscedasticity. Parametric data was articulated through arithmetic mean and standard 289
deviation, and plotted with a column graph. Nonparametric data was articulated through median 290
and quartiles, and plotted with a box plot. Variables with no inherent relationship were compared 291
through either one-way Analysis of Variance (ANOVA) (for parametric data) or Kruskal-Wallis 292
One Way Analysis of Variance on Ranks (for nonparametric data). Variables with an inherent 293
relationship were compared using either one-way repeated measure (RM) ANOVA (for 294
parametric data) or Friedman Repeated Measures Analysis of Variance on Ranks (for 295
nonparametric data). Two-way comparisons were executed utilizing two-way RM ANOVA and 296
Holm-Sidak post-hoc test. All statistical examinations were two-tailed, and the significance level 297
(α) was determined to be 0.05. 298
299
300
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Results
301
Unit discrimination 302
All twenty trials from each animal were chronologically merged for spike discrimination and 303
unit sorting. Utilizing a positive threshold of three times the standard deviation above the mean, 304
we detected 571,515 spikes across all twenty-one animals (median = 25,637 spikes per locust, 305
1st quartile = 23,692 spikes per locust, 3rd quartile = 29,090.5 spikes per locust). From these 306
spikes we discriminated 352 distinct units (mean = 16.8 units per locust, standard deviation = 3.4 307
units per locust). Multivariate Analysis of Variance (MANOVA) verified the statistical 308
distinctiveness of these units in three-dimensional cluster space (p < 0.001). A comprehensive 309
summary of the discriminated spikes and units for all animals is provided in S1 Table. 310
311
Unit responses 312
S2 Table summarizes the number of units that responded to each stimulus type. Out of the total 313
352 discriminated units, 248 units (70%) exhibited responses to looming stimuli against a white 314
Background
(LW), 238 units (68%) responded to looming stimuli against a half-white-half-grey 315
Background
(LG), 242 units (69%) responded to looming stimuli against a flow field background 316
(LF), 222 units (63%) responded to the flow field only (F), and 28 units (8%) did not respond to 317
any of the visual stimuli. One-way ANOVA revealed that there was no significant difference in 318
the number of units responding to looming stimuli against different backgrounds (F2 = 0.14, p = 319
0.87), nor was there a significant difference in the percentage of responsive units from each 320
animal (One-way ANOVA, F2 = 0.49, p = 0.61) (Fig 3). 321
322
Fig 3. Number of units that responded to each type of visual stimulus. 323
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Within each box, the horizontal line represents the median, while the lower and upper 324
boundaries, the whiskers, and the dots represent the 25/75%, 10/90%, and 5/95% percentiles, 325
respectively. One-way repeated measure (RM) ANOVA revealed that there was no statistical 326
difference between the number of units that responded to different types of visual stimuli. 327
328
However, it is worth noting that the responses of these units were not exclusive to a single 329
background. A unit could respond to looming stimuli against one or more visual backgrounds. 330
Fig 4 illustrates the distribution of the percentage of different types of looming stimuli that the 331
units responded to. Among the total 352 units, 194 units (55%) responded to looming stimuli 332
against all three backgrounds. 42 units (12%) responded to two out of the three looming stimuli, 333
among which 19 units responded to LW & LG, 15 units responded to LW & LF, and 8 units 334
responded to LG & LF. 63 units (15%) responded to only one type of looming stimulus, among 335
which 20 units responded to LW, 18 units responded to LG, and 25 units responded to LF. 336
Additionally, 25 units responded exclusively to the flow field (F) and none of the looming 337
stimuli. 338
Overall, the number of units responding to looming stimuli was relatively similar across all three 339
backgrounds, suggesting that the visual background did not affect the number of units 340
responding within a putative population. 341
342
Fig 4. Percentage of responsive units based on stimulus properties. Each column represents 343
the number of units (n) that responded to 1, 2, 3 looming stimuli, flow field only, or none. Out of 344
all 352 discriminated units, 194 units responded to looming stimuli against all three backgrounds 345
(55%), 42 units responded to looming stimuli against two out of three backgrounds (12%), while 346
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63 units responded to looming against one background (18%). Overall, the background type did 347
not affect how many units responded to the looming stimulus. 348
349
Categorization of unit response 350
The peristimulus time histograms (PSTHs) of individual units were examined visually and 351
categorized based on the trend of firing rate change over time for visual stimuli containing a 352
looming stimulus [38]. Five categories of responses were identified (Fig 5): 1) firing rate peaked 353
near the projected time of collision (TOC); 2) firing rate showed a valley near TOC; 3) firing rate 354
gradually increased over time; 4) firing rate remained relatively constant; 5) firing rate remained 355
constant during the looming and increased near the end of the recording. S3 Table provides a 356
summary of the distribution of response categories for looming against different visual 357
backgrounds. The distribution of response categories was similar between LW and LG (Chi-358
square test, χ2 (4, N = 486) = 1.615, p = 0.806). However, the distribution was significantly 359
affected by the flow field (LW vs LF: Chi-square test, χ2 (4, N = 490) = 12.541, p = 0.014; LG vs 360
LF: Chi-square test, χ2 (4, N = 480) = 19.672, p < 0.001). When presented with LF, only 5 units, 361
compared to 21 for LW and 27 for LG, displayed a gradual increase (category 3). Additionally, 362
more units showed a constant firing rate that increased near the end (category 5). It is likely that 363
some units in category 1 and 3 exhibited a delayed response to LF, leading to their placement in 364
category 5. Fig 5 illustrates the average PSTH and 95% confidence interval for each category in 365
response to LW. 366
367
Fig 5. Categorization of units responding a looming stimulus against white background 368
(LW). 369
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All peristimulus time histograms (PSTHs), represented by the grey lines, were aligned to the 370
projected time of collision (TOC), represented by the red vertical line. The black solid lines 371
represent the average PSTH, while the black dotted lines represent the 95% confidence intervals. 372
Category 1 included units that showed a peak near TOC. Category 2 included units that showed a 373
valley near TOC. Category 3 included units that showed a gradual increase during the stimulus 374
presentation. Category 4 included units that showed a tonic firing during the stimulus 375
presentation. Category 5 included units that showed an increase towards the end of the displayed 376
window, after TOC. 377
378
For response category 1, which peaked near TOC, various parameters were calculated, including 379
the peak firing rate, peak time (relative to TOC), rise phase, and decay phase [20,38,40] (Fig 6). 380
The rise phase was defined as the time from when the unit's firing rate last exceeded the upper 381
95% confidence interval to the peak time, while the decay phase was measured from the peak 382
time to when the firing rate decayed to 15% of the peak firing rate. Among the 194 units that 383
responded to looming against all three backgrounds, 135 units (70%) exhibited a category 1 384
response to all three looming stimuli. Across different backgrounds, there was significant 385
differences in both peak time (Friedman Repeated Measures Analysis of Variance on Ranks, χ22 386
= 44.236, p < 0.001) and the length of the rise phase (Friedman Repeated Measures Analysis of 387
Variance on Ranks, χ22 = 70.673, p < 0.001). However, no significant differences were found in 388
peak firing rate (Friedman Repeated Measures Analysis of Variance on Ranks, χ22 = 4.326, p = 389
0.115) or the length of the decay phase (Friedman Repeated Measures Analysis of Variance on 390
Ranks, χ22 = 3.318, p = 0.190). Tukey post-hoc tests indicated that all pairwise comparisons were 391
significantly different for peak time (LW vs LG: q = 4.088, p < 0.05; LW vs LF: q = 9.338, p < 392
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19
0.05; LG vs LF: q = 5.250, p < 0.05), although the difference in peak time between LW and LG 393
was relatively small. For the rise phase, there was no statistical difference between LW and LG 394
(Tukey post-hoc test, q = 2.711, p > 0.05), while both LW and LG showed significantly higher 395
values than LF (LW vs LF: q = 8.650, p < 0.05; LG vs LF: q = 11.361, p < 0.05). It is important 396
to note that, as peak times were delayed in LF, the selected trial length (-2 to 0.2 seconds relative 397
to TOC) did not always include a full decay phase, i.e. firing rate did not fall below 15% of the 398
peak firing rate by the end of the trial. Consequently, the sample size for the decay phase 399
comparison was smaller than that oof the other parameters, making it more difficult to find 400
significant difference. 401
402
Fig 6. Comparison of response parameters of units in Category 1 (peak near TOC) between 403
Background
types. 404
(A) Sample PSTH of a Category 1 unit in response to a looming stimulus. The red vertical line 405
represents the time of collision (TOC), while the grey dashed line represents the upper 95% 406
confidence interval of the histogram. The last time the instantaneous firing rate exceeded the 407
upper 95% confidence interval (t95) was defined as the beginning of the response, while the time 408
when the firing rate decayed below 15% of the peak firing rate (t15) was defined as the end of the 409
response. The duration from t95 to the peak was defined as the rise phase, and the duration from 410
the peak to t15 was defined as the decay phase. (B) Within each box, the horizontal line 411
represents the median, while the lower and upper boundaries, the whiskers, and the dots 412
represent the 25/75%, 10/90%, and 5/95% percentiles, respectively. The peak time, peak firing 413
rate, rise phase, and decay phase of each PSTH was measured and compared using one-way 414
repeated measure (RM) ANOVA. Different letters above the boxes represent statistically 415
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20
significant differences. The white and grey backgrounds evoked similar peak times (grey being 416
slightly later), while flow field evoked a significant peak delay. The flow field also resulted in 417
shortened rise phases. 418
419
In summary, among individual responsive units, LW and LG elicited similar responses, while the 420
addition of a flow field background (LF) resulted in delayed peak firing and a shorter rise phase 421
for units in category 1, indicating a delayed and more brief response. 422
423
Common trends 424
Dynamic factor analysis (DFA) was conducted using the MARSS package in R 4.1.3 to extract 425
common trends from all responsive units. Initial attempts to perform DFA on Gaussian-426
smoothed 1-ms-binned data resulted in consistent crashes of R due to the model's complexity. 427
Consequently, the firing rate was recalculated using a 50-ms bin width without smoothing. 428
Although temporal resolution was reduced, the 50-ms-binned data captured the dynamic 429
modulation of firing rate while significantly reducing computational complexity by a factor of 430
fifty. 431
For each of the 4 visual stimuli, DFA was iteratively performed with an increasing number of 432
common trends, starting from 1. The Akaike information criterion with a correction for small 433
sample sizes (AICc) was used to monitor the performance of each model. When the AICc began 434
to increase, the iteration was halted, and the model with the lowest AICc was deemed the optimal 435
model. S4 Table shows that the optimal models for LW and LG both included 7 common trends. 436
This consistency with the optimal model for looming at 0° elevation against a white background 437
[29] indicates that neither the looming trajectory (45° upwards) nor the half-white-half-grey 438
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21
Background
influenced the level of variability in the locust's response to a black looming 439
stimulus. In contrast, despite evoking a similar number of responsive units, the optimal model for 440
LF only contained 5 common trends, suggesting less variation among unit responses. 441
Fig 7 depicts activity of all the extracted common trends in response to each stimulus. In 442
response to a looming stimulus, irrespective of background types, most common trends exhibited 443
a positive peak near the time of collision (TOC). Against all three backgrounds, only one 444
common trend did not show a peak, and instead, continuously increased until the end of the 445
stimulus presentation (CT5 for LW, CT7 LG, and CT4 LF). When presented with the flow field 446
Background
only (F), without the looming stimulus, the primary type of response was a brief 447
peak right after time when the flow field started (Tff), followed by a gradual decrease, 448
suggesting adaptation to the flow field. Despite that the best DFA model contained 6 CTs, the 449
first three CTs all showed this type of response, while the other CTs maintained at a relatively 450
stable level with no clear change near Tff. 451
452
Fig 7. Common trends (CTs) responses to all four types of visual stimuli. 453
In each column, peristimulus time histograms (PSTHs) of the CTs from a stimulus type were 454
plotted, aligned to either the projected time of collision (TOC) or the time when flow field 455
started displaying (Tff). In DFA models, the order of CTs was randomized, i.e., CT1 from the 456
first and second column are not necessarily the same. The factor loadings of constituent 457
discriminated units in each CT are shown next to the PSTH in a heatmap. Within a heatmap, 458
each horizontal line represents one discriminated unit. The order of units in the heatmap is also 459
consistent within a column. Irrespective of background types, most CTs responded to a looming 460
stimulus with a peak near TOC, similar to a DCMD response. The remaining common trend 461
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from each background (CT5 in the white background, CT7 in the half-white-half-grey 462
background, and CT4 in the flow field background) continuously increased until the end of 463
stimulus presentation. For the last visual stimulus, flow field only, CT 1-3 displayed a peak at 464
Tff, when the flow field started, while CT 4-6 maintained at a relatively constant level without 465
clear change near Tff. 466
467
Among the common trends displaying clear peaks, the peak times occurred before or after TOC 468
in response to LW and LG, while in response to LF, only one common trend (CT 3) had a peak 469
time before TOC, and all other common trends had peaks after TOC. The median peak time of 470
LF common trends was the highest (i.e., latest) among all three looming stimuli, and the rise 471
phase for LF was the shortest. These findings aligned with the peak times observed in category 1 472
unit responses, although the comparisons of peak time and rise phase were not statistically 473
significant (One-way ANOVA; peak time, F2 = 0.507, p = 0.618; rise phase, F2 = 0.798, p = 474
0.480) (Fig 8), likely due to small sample size and low statistical power. However, it is worth 475
noting that the response start time (t95), defined as when the unit firing rate exceeded the upper 476
95% confidence interval, was significantly influenced by the type of visual background 477
(Kruskal-Wallis One-Way Analysis of Variance on Ranks, H2 = 7.096, p = 0.014). The response 478
began later in response to LF, compared to LG (Dunn's post-hoc test, p < 0.05). Since the firing 479
rate did not decay below 15% of the peak firing rate before the end of stimulus presentation in 480
some common trends (e.g., CT 1, 3, and 4), the sample size of t15 and decay phase was too small 481
(≤ 3 for each background) to derive meaningful comparison. 482
483
Fig 8. Comparison of response parameters of common trends (CTs) that peaked near TOC. 484
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(A) Sample PSTH of a common trend in response to a looming stimulus. The red vertical line 485
represents the time of collision (TOC), while the grey dashed line represents the upper 95% 486
confidence interval. The last time the instantaneous firing rate exceeded the upper 95% 487
confidence interval (t95) was defined as start of the response. We defined the duration from t95 to 488
the peak as the rise phase. (B) Box plots comparing CT firing parameters. Within each box, the 489
horizontal line represents the median, while the lower and upper boundaries and the whiskers 490
represent the 25/75% and 10/90% percentiles, respectively. Different letters above boxes 491
represent statistically significant differences. The peak time, rise phase, and response begin time 492
of each PSTH was measured and compared using one-way repeated measure (RM) ANOVA. 493
Similar to Fig 5, flow field background resulted in later peak and shortened rise phase in the 494
CTs, but the difference was not statistically significant. The response start, however, was 495
significantly later in the flow field background, compared to the white and grey background. 496
497
498
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Discussion
499
During flight, optic flow is a main source of spatial information an animal can acquire. 500
Components of the optic flow can be used to calculate the distance and trajectory of nearby 501
objects. This is the first study to investigate the effect of a flow field background on looming 502
responses of multiple interneurons in the locust visual system. We found that multiple units were 503
responsive to a looming disc approaching upwards from bottom right at 45° azimuth and -45° 504
elevation, yet displaying various types of responses. Compared to looming against the white 505
Background
(LW) and half-white-half-grey background (LG), looming against the flow field 506
Background
(LF) affected the distribution of different response categories among responsive 507
units. Common trends (CTs) were extracted and compared between background types. Both LW 508
and LG evoked 7 CTs, the same as loom from 90° azimuth at 0° elevation, while LF evoked 5 509
CTs, suggesting that flow field background reduced the variability among unit responses. In both 510
individual units and common trends, the flow field background caused the responses to be 511
delayed. 512
513
Flow field design 514
Previous studies used flow field backgrounds that consisted of vertical bars that expanded across 515
the entire visual field [28,44], or squares expanding from the center of the screen [19]. The type 516
of flow field used here was designed to emulate the natural visual environment when the locust is 517
flying. Since flying animals are closer to the ground, compared to the sky, the objects on the 518
ground would appear faster and more conspicuous. Therefore, the optic flow in the lower half of 519
the visual field is more prominent than that in the top half. By dividing the visual background 520
vertically into two halves, and showing flow field in the bottom half only, we presented a 521
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25
simplified bbackground that simulates a horizon line. Preliminary testing indicated that there was 522
no effect of a flow field on looming responses when the object approached from 45° azimuth at 523
0° elevation. For this trajectory, the top half of the object approached within the white 524
background, which likely attenuated any putative effects of a flow field [28], regardless of flow 525
field contrast or velocity. Therefore, we choose a a looming stimulus that moved upwards from -526
45° elevation to ensure the disc was within the flow field except for final 20.2 ms of each 527
approach. When presented with looming stimuli approaching within different areas across the 528
receptive field, some parameters of the DCMD response are different, yet the shapes of the 529
PSTH remain largely unaffected [45,46]. We found a similar effect among the other motion 530
sensitive units and common trends extracted from these units. The number of responsive units 531
and the number of common trends, representing the types of responses among all responsive 532
units, were consistent between looming at 0° elevation and -45° elevation. 533
Locusts display motion dazzle. When presented with a two-tone looming object, in which the top 534
half is darker than the background while the bottom half is lighter, the DCMD responds less than 535
the top (dark) half alone [47]. However, the flow field we used here was composed of white and 536
grey circles, both lighter than the black object (Michelson contrast ratio between black and white 537
= 0.98, Michelson contrast ratio between black and grey = 0.80). Therefore, the motion dazzle 538
was likely not present in our stimuli 539
540
Effect of flow field on collision detection 541
When an animal moves through its environment, optic flow is generated as a translational or 542
rotational pattern that is perceived by the eye [48]. Animals use optic flow to access self-motion 543
and stabilize trajectory. For example, honeybees use optic flow to maintain flight height [49], 544
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26
while bumblebees use optic flow in the frontal visual field to control position and flight speed 545
[50,51]. 546
In locusts, a flow field consisting of white and grey vertical bars can elicit excitatory 547
postsynaptic potentials (EPSPs) in the LGMD, quickly followed by inhibitory postsynaptic 548
potentials (IPSPs) [40] via activation of lateral and feed-forward inhibition [13,52]. Therefore, 549
LGMD response to small looming objects is inhibited by large-field optic flow, represented by 550
fewer spikes and shorter rise phases [13,19]. In the DCMD, it was found that compared to white 551
background, more complex visual background, such as the flow field, caused reduced peak firing 552
rate, delayed peaks, and shorter rise phases as well [28,44]. We found that flow-field-induced 553
peak time delay and rise phase shortening were common among multiple motion-sensitive 554
neurons, although the peak firing rate was not statistically affected. 555
The compass cells [53] found in the central complex (CX) of locusts can use polarized light to 556
determine the orientation of the animal [54] and also respond to approaching and translating 557
objects [55,56]. On average, the peak time of the compass cells was delayed in the presence of a 558
flow field. However, the response of most compass cells to looming objects was inhibited by the 559
presence of large-field motion, while some were enhanced [57]. This suggests that a group of 560
neurons are only responsive to looming when optic flow is present, i.e., when the animal is 561
moving. Here we discriminated units (n=25) that responded to LF only, but not to LW or LG 562
(Fig 4). It is possible that these units can enhance motion detection during flight, and play an 563
important role in proper flight manoeuvre within a large swarm. 564
565
Units that responded to flow field only 566
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We found that a group of units (n=25) responded to flow field only, but not to any of the 567
looming stimuli. Despite not directly responding to looming objects, these units can potentially 568
use flow field to access the self-motion of the animal, and thus factor into the execution of 569
successful collision avoidance behaviours. 570
Neurons that are exclusively sensitive to large-field motion have been identified in multiple 571
species, such as flies [58], moths [59], praying mantis [60], and crabs [61,62]. In hawkmoths, 572
two types of large-field motion-sensitive neurons, the horizontal cells and the vertical cells, were 573
identified in the lobula plate [63]. In honeybees, horizontal regressive- and progressive motion-574
sensitive neurons were found to be selectively sensitive to regression or progression motion, 575
respectively [64]. 576
In locusts, although the DCMD does not respond to the initiation of large-field grating stimuli 577
[65], large-field motion-sensitive neurons have been identified in the optic lobe [66–68] and 578
ventral nerve cord [69]. The two lobula directionally selective motion-detecting neurons 579
(LDSMD) respond preferably to flow field moving forwards or backwards, respectively, and one 580
of them synapses with the protocerebral descending directionally selective motion-detecting 581
neuron (PDDSMD) [68,69]. Those neurons found in the medulla, however, did not display 582
directional selectivity [67]. It is worth noting that although the axon of the PDDSMD extends in 583
the ventral nerve cord towards the metathoracic ganglion, it is ipsilateral to the cell body, while 584
we recorded from the contralateral nerve cord. In my study, only one type of flow field was 585
presented, and thus we could not test for directional sensitivity. Based on previous findings, we 586
assume that some of these units, as well as neural ensembles, will display directional preference, 587
while others do not. This can be tested in future studies using various flow field backgrounds and 588
larger-scale multichannel recordings. 589
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28
590
Population coding of motion-sensitive neurons 591
The response of individual neurons is often “noisy”, displaying large variability over repeated 592
stimuli. Compared to individual neurons, functional groups of neurons, i.e., neural ensembles, 593
can represent complicated information and convey robust guides to generate appropriate 594
behavioural responses. In the rat gustatory cortex, neural ensembles progress through reliable 595
and stimulus-specific sequences of states, although the timing of transitions varies between trials 596
[70]. In the locust antennal lobe, multiple projection neurons encode different odorants, while the 597
ensemble activity display complex patterns over repeated presentation [71]. We found that 598
despite variability among individual neuron responses, the extracted common trends, which 599
represent ensemble activity, remain largely stable. The dominant types of common trends match 600
the response of previously identified motion-sensitive interneurons, providing a reliable 601
interpretation of the given stimuli. 602
While repeated co-activation of the same neurons can strengthen their synaptic connections and 603
increase the likelihood of the same neural ensemble reoccurring, mechanisms like changes in 604
short-term synaptic dynamics enable flexible reconfiguration of ensemble composition to meet 605
varying computational needs [72]. In the rat anterior cingulate cortex, ensemble activity during a 606
reward-searching task is affected by previous behavioural history [73]. Physiological states can 607
also determine the level of synchronization among neuron populations [74]. In Drosophila, 608
previous experience and hunger state affect the ensemble coding during the determination of the 609
food value [75]. Here we showed that when presented with identical looming stimuli against 610
different backgrounds, individual unit responses and common trends were both affected. Since 611
the units were generally from the same pool, changes in common trends, both the total number 612
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29
and the peristimulus time histogram, reflect the fluidity of the contribution from individual units. 613
Future studies could also examine the effect of physiological states, such as hunger or 614
sleeplessness, which may affect the animal’s ability to detect visual cues, likely via dynamic 615
ensemble coding. 616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
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The copyright holder for this preprintthis version posted October 17, 2024. ; https://doi.org/10.1101/2024.10.15.617990doi: bioRxiv preprint
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Supporting information 840
S1 Table. Summary of spike detection and unit discrimination. On average, 27215 spikes 841
(waveforms) were detected, and 16.8 units were discriminated. The MANOVA results show that 842
the discriminated units were statistically distinct from each other. 843
S2 Table. Summary of the number of units that responded to each type of visual stimulus. 844
LW represents loom against the white background, LG represents loom against the grey 845
background, LF represents loom against the flow field background. 846
S3 Table. Distribution of units in different categories when presented with looming against 847
different visual backgrounds (LW, white; LG, half-white-half-grey; LF, flow field). The 848
distribution was similar betweeno LW and LG. However, in response to LF, the proportion of 849
Category 3 decreased, while the proportion of Category 5 increased. 850
S4 Table. Summary of dynamic factor analysis (DFA) models. For each stimulus type, the 851
DFA model was performed iteratively, starting with 1 common trend (CT). The Akaike 852
information criterion (AIC) and AIC corrected for small sample size (AICc) of each model are 853
shown above. Since AICc can prevent over-fitting, it was used to determine the best-fit 854
approximating model. For looming against both white and white/grey backgrounds, the best 855
models contained 7 common trends. For looming against the flow field background, the best 856
model contained 5 common trends. For flow field only, the best model contained 6 common 857
trends. 858
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859
Figure 1 860
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861
Figure 2 862
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863
Figure 3 864
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865
Figure 4 866
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867
Figure 5 868
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869
Figure 6 870
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871
Figure 7 872
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873
Figure 8 874
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