Keywords
Mecp2, Rett syndrome, microelectrode array, functional connectivity, network topology, rich club
topology, neuronal cultures, graph theory, microscale cortical networks
Introduction
Rett syndrome is a neurological disorder in which children, primarily girls, have severely impaired
cerebral processing leading to lifelong deficits in cognitive, language, social, motor, and sensory
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function [1]. Although typically diagnosed after 6 -18 months of age, behavioral differences are
already apparent at birth [2]. Loss-of-function mutations in the gene regulator MECP2 were first
identified 25 years ago and account for 95% of Rett syndrome [3]. At the whole-brain or cortical-
region-levels, impairments have been identified in cortical processing, using visual evoked
potentials [4], and network architecture [5]. However, how MeCP2 deficiency alters the
development of the brain networks that support higher cognitive functioning is yet unknown, and
there is no treatment that can stop the decline or reverse the deficits.
Mecp2-deficient mice recapitulate many behavioral features of the human disorder [6] and display
synaptic deficits that precede the behavioral decline [7–15]. In particular, loss of Mecp2 disrupts
the timing of cortical excitatory and inhibitory cell -type maturation, delaying maturation in
excitatory neurons and accelerating maturation in parvalbumin -positive (PV) inhibitory neurons
[15]. This disruption in synaptic maturation would likely impact the formation of functional
connectivity in the developing brain. The organization of neurons into functional microscale
networks is key to the computational and learning capabilities of the brain [16]. These patterns of
network topology are seen across spatial scales in the brain and determine the efficiency of
information processing [17]. Whole-brain to regional-level alterations in the degree of functional
connectivity in the cortex of Mecp2 -deficient mice, visualized using optical imaging, support
network-level defects [18]. Anatomical tracing also confirms impairment in long-range connectivity
in Mecp2 -deficient hippocampal circuits [19]. These differences in functional and structural
connectivity at larger spatial skills likely arise, at least in part, from altered maturation of
microscale networks. Microelectrode array (MEA) recordings reveal that primary murine cortical
cultured networks can process complex spatiotemporal information [20]. Thus, identifying how
Mecp2 deficiency alters the development of microscale network topology and dynamics in vitro
could reveal mechanistic insights and novel therapeutic targets for Rett syndrome.
To address this gap, we compared the development of functional connectivity and network
topology in developing primary cortical cultures from mice hemizygous (KO, male) or
heterozygous (HET, female) for a loss -of-function deletion of exon 3 and 4 in Mecp2 on the X
chromosome and their wild-type (WT) littermates. We found that Mecp2 deficiency reduces and
delays the development of spontaneous activity in developing cortical microcircuits affecting firing
rates, network burst rates, and functional connectivity in both the KO (all cells lack Mecp2), and
HET (mosaic for Mecp2 expression due to X-inactivation) cultures. Mecp2 deficiency affects the
network topology, including nodal - and recording -level network features. These topological
features predict reduced information processing capacity in Mecp2 -deficient microscale cortical
networks, which we confirmed by identifying subnetworks —based on their patterns of activity —
using dimensionality reduction techniques.
Results
Mecp2 deficiency alters developmental trajectory of spontaneous activity
We first compared the development of the number of active electrodes and firing rates in the
cortical cultures over days -in-vitro (DIV) 14 -35 ( Figure 1, Table S1 ). Notably, due to X -
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inactivation, while all cells in the Mecp2 -WT cultures expressed Mecp2, there is mosaic
expression of Mecp2 in the HET cultures, and no cells expressed Mecp2 in the KO cortical
networks ( Figure 1A ). Although the number of active electrodes and the median firing rates
increased over development in all three genotypes, the Het and KO cultures had fewer active
electrodes and lower median firing rates at DIV 14 -35 (p<0.05, nparLD; Figure 1B -D). This
suggests that loss, or partial loss, of Mecp2 function delays and reduces the developmental delay
in spontaneous neuronal activity. This effect may involve non -cell-autonomous effects, as there
were similar effects on number of active electrodes, and firing rates at the later time points, in the
HET cultures, which are mosaic for Mecp2 expression, and the KO cultures, which lack Mecp2.
Figure 1. Mecp2 deficiency alters the development of spontaneous activity in murine
cortical cultures, see also Table S1. A. Representative images of Mecp2 -wildtype (WT), -
heterozygous (Het) and -hemizygous (KO) cortical cultures at DIV15 with immunostaining for
Mecp2 (red), MAP2 (green), and DAPI (blue) reveal Mecp2+ (yellow) and Mecp2- (green) cells in
the HET culture. Scale b ar, 40 μm. B. Representative mean firing rate heat maps in the spatial
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arrangement of the microelectrode array (MEA) at days -in-vitro (DIV) 14 to 35 from Mecp2 -WT
(top row), -Het (middle row), and -KO (bottom row) cortical cultures. Scale bar, 400 μm. Node
color shows the mean firing rate (MFR; action potentials per second) for each electrode in the 10-
minute MEA recordings. C-D. Box plots show the median (horizontal line), interquartile range
(box), and range, excluding outliers (vertical lines), with scatter plots (colored circles for each
culture) and density curves for the median firing rate for each culture ( C) and number of active
electrodes (D). Statistical significance was assessed using nparLD, followed by Dunn’s Test for
post hoc comparisons. * p≤0.05, ** p≤0.01.
We next compared single-electrode and network bursting in the Mecp2 WT, Het, and KO cortical
cultures ( Figure 2, Table S2 ). Neurons in culture develop a pattern of firing in which action
potentials occur in bursts, with shorter interspike intervals (ISI) within bursts and longer ISI
between bursts ( Figure 2A-C). We first compared bursting that occurred in single electrodes
(Figure 2D-E). The percent of electrodes showing bursting activity increased with development
in all three genotypes ( Figure 2D). The WT cortical networks showed a higher percentage of
electrodes bursting than the HET and KO cultures at DIV14-35. The mean burst rate in individual
electrodes also increased with development ( Figure 2E ). Interestingly, in the HET and KO
cultures, the neurons that did show single-electrode bursting achieved the same mean rate as in
WT.
Bursts that occur simultaneously in multiple electrodes are called network spikes or bursts [21]
and arise from the increase in functional connectivity within the cortical networks. The raster plots
illustrate the differences in patterning of burst activity at the whole-recording (Figure 2A) and one-
second temporal windows ( Figure 2B). WT and HET networks show complex bursting that is
apparent in the 1-second temporal window and ISI distribution plots ( Figure 2B-C). In contrast,
the KO cultures show smaller network bursts with much less firing in between the network bursts,
as illustrated by the ISIs greater than 100 milliseconds. The mean number of electrodes
participating in network bursts increased in all three genotypes at DIV14 -35 ( Figure 2F ).
However, the WT cultures showed higher mean network burst rates than HET cultures at DIV14
and KO cultures at DIV14 -35, while the HET cultures showed higher mean network burst rates
than KO cultures at DIV21 -35 (Figure 2G). Thus, loss of Mecp2 altered not only the firing rate,
but also the patterning of spontaneous activity in in vitro developing cortical networks. There may
be non-cell-autonomous effects of Mecp2 mosaicism on the development of bursting in the HET
networks, as the mean network burst rate differed from the WT at DIV14 and KO at DIV21-35.
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Figure 2. Mecp2 deficiency alters the development of single -electrode and network
bursting in murine cortical cultures, see also Table S2. A. Representative raster plots of
spontaneous activity from 10 -minute MEA recording from Mecp2 -wildtype (WT, top),
heterozygous (Het, middle) and hemizygous (KO, bottom) cortical cultures at days -in-vitro (DIV)
35 showing bursting in individual electrodes and network bursts. Color bar shows firing rate
(action potentials per second). B. Representative raster plots of 1 -second periods from each
recording illustrating the different patterning of bursting activity in the three genotypes. Each thin
vertical line represents an action potential and each row represents an electrode in the same
recording. C. Histograms of interspike intervals (ISI) in milliseconds (ms) for each of the
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recordings in A. D-G. Box plots show median (horizontal line), interquartile range (box), and range
excluding outliers (vertical lines) with scatter plots (colored circles for each culture), and density
curves for the mean percent of electrodes bursting ( D), mean single -electrode burst rates per
minute (E), mean number of electrodes participating in network bursts (F), and network burst rates
per minute (G) for DIV 14-35. * p<0.05, ** p≤0.01, *** p≤0.001 (nparLD, Dunn’s Test).
Mecp2 deficiency impairs the development of functional connectivity
To determine whether Mecp2 deficiency alters network function in microscale circuits, we first
compared the functional connectivity using the spike time tiling coefficient (STTC) [22] and
probabilistic thresholding [23]. By determining significant pairwise correlations of neuronal activity
detected at the electrodes, we could reliably infer significant functional connections. These
networks can be visualized as nodes (activity recorded from each electrode) and edges
(significant correlated activity observed between two nodes) in the spatial arrangement of the
MEA ( Figure 3A) and network features compared ( Figure 3B-3F, Table S3 ). We found that
Mecp2 deficiency impairs the development of functional connectivity in the cultured cortical
networks. The HET and KO networks show a reduction in the mean edge weight (strength of
connectivity; Figure 3C ), mean node degree (number of connections per node; Figure 3D ),
network size (number of nodes; Figure 3E), and network density (nu mber of connections as a
percentage of total possible connections; Figure 3F). The developmental increase in network
size, density, and edge weights was slower in the Het and KO networks, compared to WT, and
was reduced compared to WT at DIV 14 -35. This indicates that, in addition to lower firing and
burst rates, Mecp2 deficiency also reduces the degree of pairwise correlations in the timing of
action potentials between electrodes. Mecp2-deficient networks were smaller (fewer nodes) and
had fewer and weaker connections than WT networks.
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Figure 3. Mecp2 deficiency delays the development and reduces the number and strength
of functional connections, see also Table S3. A. Representative graphs of networks at DIV 14-
35 from Mecp2-wildtype (WT,blue), -heterozygous (Het, purple), and -hemizygous (KO, red)
cultures. Nodes (circles) are in the spatial arrangement of the MEA. Edge weight (line thickness)
indicates the strength of connectivity using the spike time tiling coefficient (ST TC). Node size is
relative to node degree (number of edges). B. Cumulative distribution function (CDF) plots for
mean edge weight (left) and node degree (right) shows the developmental shift with age (different
line shades) for the cultures in A. Small network schema illustrate edge weight (left, line thickness
indicates stronger connection) and node degree (right, darker blue nodes have more connections
than lighter blue nodes). C-F. Box plots show median (horizontal line), interquartile range (box),
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and range excluding outliers (vertical lines) with scatter plots (colored circles for each culture),
and density curves for the mean edge weight (C), mean node degree (D), network size (E), and
network density (F) for days-in-vitro (DIV) 14-35. * p≤0.05, ** p≤0.01 (nparLD, Dunn’s Test).
Mecp2 deficiency alters development of rich-club hubs and small-world topology
To determine how Mecp2 deficiency alters the network topology —the organizational patterns or
motifs observed in the functional connectivity —we analyzed multiple graph theoretical metrics
(Figure 4, Table S4 ). The distribution of functional connections (edges) between nodes is not
uniform. There are clusters of nodes, for example, that form subcommunities within the overall
network activity and within these subcommunities there are nodes that serve as hubs, b ecause
they have greater connectivity to the other nodes. Hub nodes from different subcommunities can
also cluster together to form “rich clubs.” Rich clubs increase in WT networks between DIV 14 to
21 and maintain their dense connections through DIV 35. In contrast, rich clubs in HET and KO
networks increased more slowly ( Figure 4A). The distribution of the clustering coefficient and
the betweenness centrality (proportion of shortest paths between any two nodes that goes
through a given node) also showed developmental shifts ( Figure 4B). The number of rich club
nodes increased with age and was higher in the WT than the HET and KO at DIV 14-35 (Figure
4C). The betweenness centrality, normalized to surrogate graphs, revealed differences between
the WT and HET at DIV 21 -28 (Figure 4D). The rich club coefficient (normalized to surrogate
graphs) was lower in the WT than HET or KO at DIV14-28 (Figure 4E). The presence of clustered
subcommunities and rich -club hubs connecting them can promote more efficient information
processing in networks by reducing the energy costs. The WT showed a normalized small-world
coefficient approaching 1, which was significantly different from the higher small-world coefficients
in the HET and KO networks at DIV 21-28 (Figure 4F).
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Figure 4. Mecp2 deficiency impairs development of rich -club hubs and small -world
topology, see also Table S4. A. Representative circular network plots show development of rich-
club nodes in which node degree (number of connections per node, color bar) and edge type
(color) are shown. The dark blue nodes are highly connected, and the dark blue edges show the
rich-club-to-rich-club-nodes connections. The less connected nodes are lighter colors. The
connections between rich -club and peripheral (peri.) nodes are in dark grey and between
peripheral nodes are in light gray. B. Cumulative distribution function (CDF) plots for clustering
coefficient (left) and betweenness centrality (right) shows the developmental shift with age
(different line shades) for the cultures in A. Small network schema illustrate clustering coefficient
and betweenness centrality. C-E. Box plots show median (horizontal line), interquartile range
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(box), and range excluding outliers (vertical lines) with scatter plots (colored circles for each
culture), and density curves (right) for number of rich-club nodes (C), betweenness centrality (D),
rich-club coefficient (E), and small-worldness coefficient (F). Cultures without rich clubs (rich-club
coefficient=0) are not included in E (n=1 HET and 1 KO at DIV14, n=2 KO at DIV35). * p≤0.05,
** p≤0.01 (nparLD, Dunn’s Test).
Mecp2 deficiency impairs the development of network dynamics in cultured cortical
microcircuits.
The altered trajectories of network development we identified above predict an impaired capacity
of the Mecp2-deficient networks to support information processing at the microscale. To test this,
we applied a dimensionality reduction approach, non -negative matrix factorization (NMF), to
identify the number of patterns of activity (NMF components) detected in the MEA recordings
(Figure 5, Table S5 ). For the NMF analysis, the entire spike -time time series was used. In
contrast to the graph theoretical analysis performed, the dimensionality reduction did not rely on
pairwise functional connectivity. Instead, the method identified patterns of activity observed within
the entire MEA recording (Figure 5A), including patterns which may be detected in only a subset
of the electrodes. To quantify the information-processing capacity of the networks, we determined
the number of significant activity patterns by first calculating the mean square root residual
(MSRR) for different numbers of NMF components (k=1,2,..,50) for the observed network activity
and randomized network activity (created by circular shifts of the electrode time series) and
second identifying the number of NMF components at which the MSRR in the observed activity
was greater than in the randomized netw ork (Figure 5B). We found that Mecp2 -deficient (HET
and KO) networks support fewer patterns of activity than the wild -type networks as determined
by a smaller number of significant NMF components ( Figure 5C ). The mean size of the
subnetworks per activity p attern (number of electrodes detecting activity per significant NMF
component) increased over development in all three genotypes; however, the KO subnetworks
had fewer electrodes than HET and WT at DIV14 on average and the HET and KO subnetworks
were smaller on average than the WT at DIV21 and 35. (Figure 5D). These results suggest that
Mecp2-deficient networks have less information -sharing capacity, which may underlie
impairments in cortical processing in Rett syndrome.
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Figure 5. Mecp2 deficiency impairs temporal dynamics in in vitro cortical networks, see
also Table S5. A. Representative raster plots of the observed spontaneous activity (top row,
black) and the top three non-negative matrix factorization (NMF) components (lower 3 rows, color)
ranked based on the percent of the variance explained for Mecp2 -wildtype (WT, blue) ,
heterozygous (HET, purple), and hemizygous (KO, pink) networks at DIV 35. Each hash
represents an action potential; time bins with more than one spike shown in darker shades. In the
examples shown, the percent of the variance explained by the top 3 NMF components are 90%,
4%, 1% for WT, 87% 4%, 3% for HET, and 92%, 4%, 1% for KO. B. Line graphs show mean
square root residual (MSRR) calculated for the number of NMF components. The number of
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significant NMF components (dashed gray vertical line) was determined when the MSRR for the
observed activity (blue line) in A was greater than the MSRR for randomized activity (gray solid
line). C-D. Box plots show median (horizontal line), interquartile range (box), and range excluding
outliers (vertical lines) with scatter plots (colored circles for each culture), and density curves for
the number of significant NMF components (C) and mean number of electrodes detecting activity
from neurons in each significant NMF component (D). * p≤0.05, ** p≤0.01 (nparLD, Dunn’s Test).
Discussion
Main findings
We show that Mecp2 deficiency alters the developmental trajectory of in vitro microscale murine
cortical networks. The developmental increase in firing and network bursts rates, functional
connectivity, network size, and density is delayed and diminished i n the cultures heterozygous
and hemizygous for the Mecp2 deletion compared to the wildtype cultures. This has a significant
effect on network metrics for local and global information processing, even when normalized for
differences in network size and density using surrogate networks for comparison. These altered
network metrics predict impaired capacity for cellular-scale information, which we show evidence
from using non -negative matrix factorization to identify and quantify the relative influence on
patterns of activity from subnetworks in the overall network activity. These network features, taken
together, reveal microscale impairment in the development of networks, and subnetworks, that
can support efficient and multiple streams of information processing.
Mecp2 deficiency alters functional connectivity at multiple spatial scales
The altered trajectories of network development at the microscale may underlie network -level
deficits at larger spatial scales. Imaging studies of functional networks, using optical imaging of
the whole cortex, revealed differences in the overall functiona l connectivity and node degree in
Mecp2-deficient mice [18]. Anatomical studies revealed regional differences in the development
of long -range connectivity, as seen in anatomical studies of the developmental hippocampal
circuits in mice [19]. Whole-brain or regional differences in network architecture have also been
observed in EEG recordings from children with Rett syndrome [5]. Our in vitro microscale
approach reveals how the trajectories of network development diverge early in brain development.
This is particularly relevant for the timing of therapeutic interventions. These studies predict that
gene therapies to restore MeCP2 function would need to be applied very early in development to
ensure networks that can support complex information processing. In contrast, for children and
adults in which the brain networks have already formed, increasing MeCP2 expression can
improve neuronal maintenance functions but additional downstream therapeutic strategies will be
necessary to modulate network function.
Mosaic cultures reveal non-cell-autonomous effects of Mecp2 deficiency
Due to X -inactivation in females with Rett syndrome, MECP2 heterozygosity results in cellular
mosaicism with each cell expressing either the normal or mutant MeCP2 protein, rather than each
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cell expressing 50% of the normal level of MeCP2. Thus, in our murine cultures, we were able to
compare the effect on network development of having no cells (Mecp2-KO), a mix of cells (Mecp2-
Het), and all cells (Mecp2 -WT) expressing Mecp2. One of the key questions in elucidating the
mechanisms underlying cortical information-processing deficits in Rett syndrome, and developing
strategies to improve function, is whether the effects of MeCP2 deficiency are cell -autonomous
(affecting only those cells without functional MeCP2) or non -cell-autonomous (affecting those
cells in the network expressing functional MeCP2 as well). Our findings reveal many network
features that were similarly impaired in the Mecp2 -Het and -KO cultures, supporting non -cell-
autonomous effects of Mecp2 deficiency in the development of murine cortical circuits. Moreover,
the Mecp2-Het networks also diverge from the Mecp2 -KO, for example in the developmental
trajectory of mean network burst rates and rich -club topology. Non -cell-autonomous effects of
Mecp2 deficiency have also been observed at the transcriptomic level in the hippocampus [24].
Neuronal networks develop in culture, driven by their genetic programming, to support complex
spatiotemporal information processing [20]. Our findings show that mosaic expression of a Mecp2
loss-of-function mutation is sufficient to alter how functional microscale networks form and their
ability to support information sharing. Thus, correcting MeCP2 expression levels in human cells
expressing the mutant MECP2 postnatally, for example, may not be sufficient to rescue cortical
processing deficits. These non-cell-autonomous effects also support the need for strategies that
modulate network function, rather than gene expression alone, to restore cortical function in
children and adults with Rett syndrome.
Developmental trajectory key for elucidating network deficits
Our study compares the developmental trajectory of neuronal activity and microscale network
function from early postnatal murine cultures over the first 5 weeks in vitro. This work reveals that,
although there are delays in multiple features in the Mecp2-deficient networks, these networks do
mature. The topological differences, including the smaller rich clubs, predict lower efficiency in
both the Mecp2-Het and -KO networks compared to the WT. Interestingly, in an optical imaging
study of whole-brain or regional-level network function in adult mice, there were opposing effects
on node degree in male (hemizygous for Mecp2 deletion) and female (heterozygous for Mecp2
deletion) [18]. This difference is likely explained by the later symptom onset in female mice. Our
study represents early postnatal development, in which we can already detect differences in the
microscale networks that develop before the behavioral decline would occur in vivo. In the imaging
study of juvenile and adult mice, Mecp2 -deficient male mice typically show a behavioral decline
between 5-8 weeks, whereas this same decline may occur 3-12 months later, depending on the
X-inactivation skew, in the female mice. Thus , the sex -related differences in node degree
observed at larger spatial scales [18] may be capturing different stages in the disease
progression.
Differences between studies of neuronal activity, as measured by mean firing and burst rates, are
also dependent on the developmental time points studied. Mecp2-KO murine neuronal precursor
cells (NPCs) plated on MEAs at embryonic day (E)15 were assessed a t DIV18 and 22 did not
show the increase in number of active electrodes, mean firing or burst rates, as seen in the
Mecp2-WT cultures [25]. Our study in early postnatal cortical cultures reveals that this is a delay
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in the developmental increase and that the low number of active electrodes and activity in those
electrodes does increase with age. Electrophysiological studies of neuronal activity in acute brain
slices or in vivo recordings from juvenile and adult Mecp2 -deficient mice also are dependent on
the developmental age, brain region, and whether the MECP2 mutation led to a complete KO or
was isolated to specific cell-types or developmental stages [26]. In this study, we used neonatal
cortical cultures from mice with a loss-of-function MECP2 mutation (deletion of exon 3 and 4). In
vivo single-unit recordings in visual cortex in this mouse model showed a marked decrease in
spontaneous and sensory-evoked activity in Mecp2-KO compared to WT littermates [14]. Early in
vitro recordings from excitatory cells in somatosensory cortex also showed decreased
spontaneous activity (2-fold less at postnatal day 14, 4-fold less after symptoms onset at day 28-
35) in Mecp2-KO compared to WT in acute slices [7]. Cultured hippocampal neurons at DIV 14
also showed decreased spontaneous activity in Mecp2-KO compared to WT networks [10].
Studies of the effects of MeCP2 deficiency on human iPSC -derived cortical tissues also show
differences in firing and burst rates that are also likely specific to the developmental timepoints
assessed, which represent periods in human fetal brain developme nt [27]. MECP2-null iPSC-
derived cortical excitatory neuronal cultures in which overexpression of neurogenin 2 (NGN2) has
been used to accelerate the development, skipping the neuronal precursor stages, show iPSC -
line- and age-dependent effects on firing and burst rates in recordings between 3 -7 weeks in
culture [28], while other 2D MECP2 knock-out models showed very little spiking compared to the
isogenic control cultures at DIV 51 -55 [29]. MEA recordings from MECP2 knock-out human
cerebral organoids showed reduced spontaneous activity at DIV30, as measured by population
spiking, compared to controls [30]. Notably, neuronal networks in human cerebral organoids
develop much more slowly than in murine cultures (over months in human -derived versus days-
to-weeks in murine cultures). Thus, DIV30 in a human organoid is very early in embryonic
development. In our own work with MEA recordings from control human cerebral organoids [31],
we see more mature network activity starting around DIV180, for reference. Early development
of hypersynchronous activity was observed with calcium imaging in MeCP2 -deficient human
cerebral organoids at DIV 70-100 [32], evidence of an altered trajectory of network development.
Limitations
of study
The differences in network activity, topology, and dynamics identified in this study were identified
in MEA recordings from primary murine cultures. While they offer insight into the microscale
functional networks in early postnatal development that is cur rently not possible to do in vivo,
further studies will be necessary to see which features are also observed in vivo. This study
provides an approach that can be applied to human -derived cultures; however, developmental
time points from later stages of human cerebral organoid development (e.g., DIV 150-300) will be
needed to see if similar developmental effects occur in human-derived cultures. In this study, we
consider a node in the network to be the activity observed from a neuron, or neurons, near an
individual electrode, without spike sorting. Network topological features can be seen across
spatial scales in the brain; however, future studies could combine simultaneous calcium imaging
with MEA recording to provide ground truth for the number of active un its near individual
electrodes and to deconvolve the multi-unit to single-unit activity. Notably, a recent study shows
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15
that network dynamics can be accurately estimated from multi -unit activity without spike sorting
[33].
The inference of functional connectivity was made using the spike time tiling coefficient [22], which
was designed specifically for MEA recordings and is largely rate independent in estimating
correlation values. Spike timing underlies synaptic communication and plasticity in the brain.
Thus, MEA recordings have the advantage over calcium imaging in high sensitivity and precision
of spike timing (in milliseconds) for inferring functional connectivity. Calcium imaging provides
single-cell resolution, but relies on a transient rise in fluorescence triggered by movement of
calcium as a proxy for cell activity with a much lower temporal resolution (typically seconds).
Thus, calcium imaging would likely be able to detect differences in burst rates, but not differences
in action potential firing between bursts that would impact the inference of functional connectivity
with MEA recordings, but not with calcium imaging. The dimensional reduction approach, using
non-negative matrix factorization, does not rely on pair -wise correlations to infer functional
connectivity. Thus, it provides a complementary appr oach to comparing network topology using
graph theoretical metrics. The reduction in the number of activity patterns (significant NMF
components) in the Mecp2 -deficient networks provides additional evidence of impairments in
network function, which were predicted by the topological differences in the developing microscale
networks.
Broader application
The network topology and dynamics metrics we applied to microscale murine Mecp2 -deficient
and wild-type cortical circuits are commonly used in network science to examine the efficiency
and information-sharing capacity of biological, and non -biological, networks at different spatial
scales. However, they have historically been underutilized for microscale networks including MEA
recordings [16]. The altered trajectory of network development identified here provides
mechanistic insight into impairments in cortical processing that have been observed at higher
scale scales (e.g., EEG) and are apparent in individuals with Rett syndrome, particularly as the
disorder progresses. These differences in network topology and dynamics in MEA recordings
from murine, or human -derived neuronal cultures, can also provide a platform for testing new
therapeutic products for restoring network function in Rett syndrome.
Methods
RESOURCE AVAILABILITY
Lead contact
Further information and requests for resources should be directed to the lead contact, Susanna
Mierau (
[email protected]).
Materials
availability
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16
This study did not generate new unique reagents.
Data and code availability
Data
The MEA spike time data has been deposited at the Harvard Dataverse
(https://doi.org/10.7910/DVN/FVCM4S) and is publicly available.
Code
All original code for analysis and production of figures in this paper have been deposited in the
Harvard Dataverse (https://doi.org/10.7910/DVN/FVCM4S) and are publicly available. The latest
version of MEA-NAP is publicly available at GitHub (https://github.com/SAND-Lab/MEA-NAP).
EXPERIMENTAL MODEL
Murine 2D cultures
Female Mecp2-heterozygous mice (Jackson Laboratory, Strain 003890) were bred in house, with
approval from the UK Home Office, with either C57BL/6J or double homozygote for PV -Cre
(B6;129P2-Pvalbtm1(cre)Arbr/J, Jackson Laboratory, Strain 008069) and tdTomato -flox (B6.Cg -
Gt(ROSA)26Sortm14(CAG-tdTomato)Hze/J, Strain 007914) males. Offspring were either wild -type,
heterozygous, hemizygous for Mecp2 deletion. Male and female neonatal mice were sacrificed at
postnatal day 0 in accordance with UK Home Office regulations by first inducing hypothermia prior
to decapitation. The cortices were dissected in sterile ice -cold phosphate buffer solution (PBS,
Gibco, 14190094) under a stereoscope and were next chemically dissociated using a 1:1 mixture
of papain (Sigma, P5306) and sterile PBS at 37 oC for 25 minutes. The reaction was stopped by
adding neurobasal-A media (Gibco, 10888022) with B27 supplement (NB-B27; B27 supplement,
Gibco, 17504044) with 4% bovine serum albumin (BSA, Sigma, A8412), and the cortices were
manually dissociated using a pipette. A small volume (20 μL) of the cells were removed for manual
cell counting with a hemocytometer, and the remaining volume was then centrifuged for 10
minutes. Before the supernatant was removed, DNase I (Roche, 10104159001) was added for 5
minutes to reduce cell aggregation. The pellet was resuspended in neurobasal-A media with the
B27 supplement (NB-B27) and 0.25% Glutamax (Gibco, 35050-038). The cells were resuspended
in the volume necessary to ensure that 30 μL would contai n 5x104 cells, which were plated on
single-well 60-channel MEA chips (Multi-channel systems, 60MEA200/30iR-ITO-gr).
MEA preparation and plating
The MEA chips were treated in advance with heavy-weight poly-L-lysine (PLL; Sigma, P4832) for
5 minutes up to 24 hours at 37 oC in the incubator, followed by three PBS washes to ensure full
removal of the PLL, before adding 5 μL of laminin (Sigma, L2020) directly over the MEA grid. A
30 μL aliquot of 5x104 cells was added directly to the laminin on the MEA grid, and the MEA chips
were incubated for 30 minutes. Visual inspection under a light microscope was used to confirm
cell adhesion prior to adding 565 μ L of NB-B27 with 0.25% Glutamax at 37 oC to the MEA well.
Cultures were maintained in the incubator at 37 oC with humidity control and 5% carbon dioxide.
One-third of the media (180-200 μL/well) was exchanged three times per week with fresh NB-B27
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with 0.25% Glutamax at 37 oC. Cells were visualized each week under the microscope prior to
recording. Cultures with less than 75% of the electrodes covered by cells were discarded.
MEA data acquisition
MEA recordings were made weekly from DIV 7 -35 using the MEA2100 system (Multi -channel
systems). We acquired MEA data using an MEA2100 dual headstage MEA system (Multi-channel
systems), with the temperature controller (Multi-channel systems, TCX-2) set to 37 oC. Raw data
was acquired at 25 kHz for 10 minutes using the MCRack software (Multi-channel systems). This
duration of MEA recordings has been sufficient to reveal network development in prior studies
[23,34]. Raw data was exported using MCTool (Multi-channel systems) and converted to MATLAB
format (.mat) using custom scripts included in our MEA network analysis pipeline (MEA -NAP)
[23].
MEA data analysis
MEA data analysis was performed using custom scripts or MEA-NAP [23]. The voltage time series
were first bandpass filtered (third -order Butterworth filter, 600 -8000 Hz). Template-based spike
detection was performed using the bior1.5 template in MATLAB with a cost parameter of -0.0627.
This cost parameter was selected by co mparing spike detection before and after treatment of
cultures with tetrodotoxin (TTX, n=6). The mean firing rate for each electrode was calculated as
the number of action potentials divided by the total length of the recording (in seconds), which in
turn was averaged for each recording. The number of active channels was calculated as the
number of electrodes per MEA in which the number of spikes detected divided by the length of
the recording was greater than 0.01 Hz. Bursts within individual electrodes we re detected using
the ISI N method [35], with the threshold set automatically based on the interspike interval
distribution. Network bursts were defined as a minimum of 10 spikes in at least 3 channels, and
the ISIN threshold set automatically [35].
Functional connectivity was inferred using the STTC with a 10 ms coincidence window. To
determine significant pairwise connections, probabilistic thresholding was performed with the
threshold for significance where the real weight was !0.1% of the distribution of edge weights
from circular shifts (n=2000). Graph theoretical metrics were calculated as in MEA-NAP [22] with
the exceptions of betweenness centrality and small -worldness coefficient, in which surrogate
graphs (n=200 per network) were used to normalize the metrics. Surrogate graphs were created
by taking the observed graph and rewiring edges while preserving the node degree distribution
using the Maslov -Sneppen algorithm in the Brain Connectivity Toolbox [36]. The rich -club
coefficient was calculated as the proportion of edges realized among rich-club nodes [34]. Rich-
club nodes were defined as a node with greater than equal to k edges. We selected the k value
that gave the highest rich-club coefficient across all values of k. The maximum value of k is the
maximum node degree in the network. This was also the k v alue used for the corresponding
surrogate graphs to normalize the rich-club coefficient.
Non-negative matrix factorization (NMF) was performed on the spike train data down-sampled to
10 Hz using MEA-NAP [23]. The number of significant NMF components was determined by first
calculating the mean square root residual (MSRR) between the observed activity and the rank-k
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approximation. We then shuffled one the activity of each electrode across time bins to destroy
temporal correlations between channels to create a random network and calculated the MSRR of
the rank -k approximation. We then identified the maximum number of s ignificant NMF
components for which the MSRR in the observed activity was greater than in the randomized
network. For each NMF component, the number of active electrodes (mean firing rate greater
than 0.01 Hz) was used to calculate the mean size of the sub networks for the significant NMF
components in the observed network activity.
Data visualization
Figure panels were created in MATLAB using custom scripts (A.W.E.D.) and MEA-NAP [23].
Immunohistochemistry
Sterile coverslips pre -treated with poly -d-lysine and laminin (12 mm diameter, Neuvitro Corp.,
GG-12-1.5-Laminin) were plated with 1.5 x 105 cells and maintained under similar conditions in a
24-well plate (Corning, 3524) to the cultures plated on the MEA. Cells were fixed by first aspirating
the media and then adding 300 μL of a mixture of warm (37 oC) 4% paraformaldehyde (PFA,
Thermo Fisher Scientific, J61899-AK) and 4% sucrose (Fisher Scientific, 10634932, S/8600/60)
in PBS. The coverslip was incubated i n the PFA/sucrose mixture at room temperature for 10
minutes and then replaced with 300 μL of 50 mM ammonium chloride (NH 4Cl, Thermo Fisher
Scientific, A15000) for 10 minutes. Coverslips were then washed with DPBS (Gibco, 14190-094)
and treated with 300 μL of 0.1% Triton X -100 (Sigma-Aldrich, T9284) in DPBS for 10 minutes.
Next coverslips were washed with DPBS and incubated f or 30 minutes with 300 μL of 4% BSA
(Appleton Woods, CSR602) in DPBS on a shaker. Primary and secondary antibodies for Mecp2
(Rat anti-Mecp2, clone 4H7, Millipore Sigma, MABE328; Alexa Fluor goat anti-rat 568, Invitrogen,
A-11077), MAP2 (Chicken anti -MAP2, Millipore Sigma, AB5543; Goat anti -chicken IgY Alexa
Fluor 488, Thermo Fisher Scientific, A -11039), and DAPI (Fluoroshield with DAPI, Scientific
Laboratory Supplies, F6057) were used. 600 μL of the primary antibody was diluted in 10%
BSA/PBS mixture and incubated overnight at 4 oC for overnight on a shaker. Coverslips were
washed thrice for 5 minutes each with DPBS on a shaker at room temperature. Fluorescently
conjugated secondary antibodies were also diluted in 10% BSA/DPBS and 600 μLadded to each
coverslip followed by a 1-hour incubation at room temperature on the shaker. After 3 more DPBS
washes, the coverslips were mounted with co ver glass using Fluoroshield antifade mounting
medium without DAPI (Sigma-Aldrich, F6182).
QUANTIFICATION AND STATISTICAL ANALYSIS
Statistical tests were completed in R. Data were tested for normality using the Shapiro -Wilk test
[37] and through visual inspection of Q –Q plots. After fitting a linear model to the data in mixed
design experiments, the normality assumption was checked based on the residuals of this model
and the sphericity assumption using Mauchly’s test [38]. Where these assumptions were violated,
a non-parametric approach was employed [39,40]. As assumptions for electrophysiological and
graph metrics were not always met, a non -parametric approach was used across all metrics for
consistency. This included a non-parametric ANOVA-type statistic (nparLD) equivalent to a mixed
ANOVA calculated on ranks rather than raw data [41]. Significant age-genotype interactions and
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19
significant main effects of genotype were followed up with post -hoc comparisons between pairs
of groups at each timepoint were made with Dunn’s Test [42]. This controls the family-wise error
rate (FWER) for multiple comparisons and is typically used with nonparametric multi -group
analyses such as the Kruskal-Wallis test [42,43].
ACKNOWLEDGMENTS
We would like to thank our funders: the European Commission Horizon 2020 (Marie Skłodowska-
Curie Actions Individual European Fellowship, EU Project 700999, S.B.M.), the American
Academy of Neurology (Career Development Award, S.B.M.), and the UKRI Medical Research
Council (Doctoral Training Partnership, A.W.E.D.). S.B.M. is supported by an NIH NINDS K02
Independent Scientist Award (1K02NS131521 -01A1). Thank you to animal welfare a nd
husbandry staff at the University of Cambridge and Wellcome Sanger Institute.
CONTRIBUTIONS
Concept: S.B.M, O.P., A.W.E.D., T.P.H.S.
Methodology: A.W.E.D., T.P.H.S., R.C.F., A.S., R.T., S.J.E., O.P., S.B.M.
Investigation: A.W.E.D., R.C.F., Y.Y., A.S., I.L., S.B.M.
Formal analysis: A.W.E.D., T.P.H.S., S.B.M.
Visualization: A.W.E.D., T.P.H.S., R.C.F., S.B.M.
Writing – original draft: S.B.M., A.W.E.D.
Writing – reviewing & editing: A.W.E.D., T.P.H.S., S.B.M., S.J.E., O.P.
Funding acquisition: S.B.M., O.P., A.W.E.D.
Supervision: S.B.M., S.J.E., O.P.
DECLARATION OF INTERESTS
No authors report a conflict of interest.
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SUPPLEMENTAL INFORMATION
Table S1: Statistical comparisons of neuronal activity in Mecp2-deficient and wildtype microscale
networks, Related to Figure 1.
Table S2: Statistical comparisons of bursting in Mecp2 -deficient and wildtype microscale
networks, Related to Figure 2.
Table S3: Statistical comparisons of network features in Mecp2-deficient and wildtype microscale
networks, Related to Figures 3.
Table S4: Statistical comparisons of rich-club hubs and small-world topology in Mecp2-deficient
and wildtype microscale networks, Related to Figure 4.
Table S5: Statistical comparisons of network dynamics in Mecp2 -deficient and wildtype
microscale networks, Related to Figure 5.
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SUPPLEMENTAL TABLES
Table S1
Summary # Active Electrodes Array Firing Rate
Group DIV Mean ±SEM Mean ±SEM
WT
n=18
14 40.778 1.933 2.944 0.560
21 48.500 1.522 5.481 1.067
28 51.500 1.153 10.120 1.938
35 49.722 2.066 11.107 1.783
HET
n=19
14 31.053 2.937 1.033 0.177
21 41.579 2.432 2.734 0.627
28 43.053 2.846 5.021 1.059
35 39.000 3.891 5.289 1.524
KO
n=15
14 30.200 3.509 1.144 0.279
21 39.533 3.681 3.168 1.055
28 43.733 3.454 6.748 2.346
35 38.933 4.726 6.395 1.894
Dunn's test p WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO
14 0.003 0.004 0.492 0.009 0.007 0.405
21 0.052 0.019 0.292 0.033 0.035 0.468
28 0.037 0.020 0.351 0.015 0.042 0.372
35 0.011 0.019 0.466 0.012 0.045 0.335
Cohen’s d
14 0.899 0.964 0.065 1.094 0.945 0.120
21 0.783 0.837 0.166 0.740 0.534 0.128
28 0.887 0.801 0.053 0.770 0.391 0.249
35 0.788 0.776 0.004 0.819 0.632 0.159
Legend: days in vitro (DIV); SEM (standard error of the mean); wildtype (WT); Mecp2-heterozygous (HET); Mecp2-hemizygous (KO)
Table S1. Statistical comparisons of neuronal activity in Mecp2 -deficient and wildtype microscale networks, Related to Figure 1. Number of active
electrodes and mean firing rate in Mecp2-WT, -Het, and -KO cortical cultures (n=number of cultures) from DIV 14–35. Array firing rate is defined as the mean
across recordings of the median electrode firing rate (spikes/s) per recording. Dunn’s test post hoc pairwise comparisons bet ween genotypes are shown for
each DIV following nparLD analysis in addition to Cohen’s d effect size statistic for each comparison.
.CC-BY-NC-ND 4.0 International licenseavailable under a
(which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
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Table S2
Table S2. Statistical comparisons of bursting in Mecp2-deficient and wildtype microscale networks, Related to Figure 2. Single-electrode bursting and
network burst metrics in Mecp2-WT, -Het, and -KO cortical cultures (n=number of cultures) across DIV 14-35. Reported measures include single-electrode burst
rate, percentage of bursting electrodes, network burst rate, and number of electrodes recruited per burst. Dunn’s test post h oc pairwise comparisons between
genotypes are shown for each DIV following nparLD analysis, along with Cohen’s d effect size statistics.
Summary Single-electrode Burst Rate % Electrodes Bursting Network Burst Rate # Electrodes per Network Burst
Group DIV Mean ±SEM Mean ±SEM Mean ±SEM Mean ±SEM
WT
n=18
14 12.947 1.933 62.446 4.150 88.789 13.141 18.402 1.247
21 19.492 3.114 76.584 3.734 77.967 21.709 27.355 2.165
28 29.076 4.173 81.311 2.958 80.306 19.104 29.039 2.092
35 32.055 3.870 81.134 3.535 69.722 18.248 31.215 2.794
HET
n=19
14 8.117 1.690 43.688 4.808 44.368 8.382 12.927 1.588
21 15.845 2.712 63.897 5.031 47.237 5.769 22.827 2.390
28 22.186 3.632 68.435 4.835 50.900 6.867 23.408 2.535
35 22.458 4.345 60.209 6.125 45.468 8.233 20.658 3.149
KO
n=15
14 7.882 1.274 44.770 5.863 43.940 10.603 13.217 2.075
21 11.729 1.771 64.421 5.504 29.793 3.664 23.314 3.772
28 19.680 3.552 64.174 6.932 29.380 4.453 25.231 4.320
35 17.882 4.441 64.135 7.502 21.747 3.270 26.183 4.446
Dunn's test p WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO
14 0.023 0.044 0.433 0.003 0.009 0.423 0.007 0.008 0.462 0.009 0.011 0.470
21 0.242 0.055 0.170 0.018 0.019 0.455 0.331 0.001 0.003 0.099 0.085 0.435
28 0.114 0.057 0.325 0.021 0.014 0.388 0.194 0.001 0.010 0.081 0.082 0.469
35 0.080 0.013 0.182 0.002 0.027 0.220 0.151 0.000 0.004 0.020 0.164 0.169
Cohen’s d
14 0.621 0.732 0.037 0.967 0.881 0.050 0.948 0.903 0.011 0.885 0.777 0.039
21 0.291 0.718 0.413 0.660 0.657 0.024 0.461 0.699 0.828 0.460 0.338 0.039
28 0.411 0.586 0.168 0.737 0.844 0.179 0.487 0.833 0.855 0.560 0.292 0.132
35 0.540 0.845 0.251 0.959 0.757 0.141 0.406 0.828 0.842 0.821 0.346 0.360
Legend: days in vitro (DIV); SEM (standard error of the mean); wildtype (WT); Mecp2-heterozygous (HET); Mecp2-hemizygous (KO)
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Table S3
Table S3. Statistical comparisons of network features in Mecp2 -deficient and wildtype microscale networks, Related to Figures 3. Graph-theoretic
properties of functional networks derived from MEA recordings in Mecp2-WT, -Het, and -KO cortical cultures (n=number of cultures) across DIV 14-35. Metrics
include mean edge weight, mean node degree, network size, and network density. Statistical comparisons between genotypes were performed using nparLD
with Dunn’s test post hoc comparisons and Cohen’s d effect sizes.
Summary Mean Edge Weight Mean Node Degree Network Size Network Density
Group DIV Mean ±SEM Mean ±SEM Mean ±SEM Mean ±SEM
WT
n=18
14 0.202 0.023 32.822 2.884 40.444 2.000 0.805 0.040
21 0.415 0.028 45.312 1.976 48.333 1.510 0.950 0.016
28 0.446 0.029 48.216 1.713 51.333 1.149 0.954 0.018
35 0.454 0.035 46.392 2.716 49.611 2.068 0.937 0.027
HET
n=19
14 0.125 0.021 20.967 3.274 29.842 3.212 0.651 0.045
21 0.297 0.040 34.586 3.417 40.947 2.648 0.823 0.045
28 0.307 0.040 36.223 3.518 42.474 3.024 0.833 0.039
35 0.272 0.045 32.075 4.366 38.053 4.151 0.751 0.070
KO
n=15
14 0.136 0.031 20.269 4.233 28.867 3.942 0.597 0.072
21 0.299 0.047 33.474 4.325 39.267 3.760 0.814 0.049
28 0.330 0.059 35.043 4.494 43.267 3.592 0.778 0.062
35 0.354 0.061 34.707 5.271 37.800 5.032 0.913 0.042
Dunn's test p WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO
14 0.014 0.022 0.482 0.009 0.007 0.414 0.009 0.007 0.394 0.013 0.008 0.386
21 0.015 0.022 0.488 0.013 0.019 0.492 0.035 0.038 0.474 0.010 0.005 0.343
28 0.010 0.045 0.306 0.010 0.015 0.486 0.015 0.045 0.361 0.005 0.004 0.390
35 0.003 0.108 0.092 0.006 0.040 0.262 0.010 0.033 0.368 0.002 0.494 0.003
Cohen’s d
14 0.816 0.609 0.106 0.890 0.880 0.046 0.910 0.962 0.067 0.839 0.920 0.231
21 0.787 0.779 0.007 0.881 0.921 0.071 0.785 0.834 0.130 0.865 0.988 0.044
28 0.919 0.651 0.116 0.991 1.023 0.073 0.882 0.805 0.059 0.905 1.034 0.270
35 1.049 0.518 0.384 0.904 0.723 0.134 0.806 0.808 0.013 0.799 0.176 0.641
Legend: days in vitro (DIV); SEM (standard error of the mean); wildtype (WT); Mecp2-heterozygous (HET); Mecp2-hemizygous (KO)
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Table S4
Table S4. Statistical comparisons of rich-club hubs and small-world topology in Mecp2-deficient and wildtype microscale networks, Related to Figure
4. Higher-order network organization metrics in Mecp2-WT, -Het, and -KO cortical cultures (n=number of cultures) across DIV 14 -35. Measures include the
number of rich-club nodes, rich-club coefficient, betweenness centrality, and small-world coefficient. Dunn’s test post hoc pairwise comparisons following nparLD
analysis and Cohen’s d effect sizes are reported for each DIV.
Summary # Rich-club Nodes Rich-club Coefficient Betweenness Centrality Small-world Coefficient
Group DIV Mean ±SEM Mean ±SEM Mean ±SEM Mean ±SEM
WT
n=18
14 30.667 3.060 1.099 0.028 1.261 0.057 1.167 0.051
21 44.222 2.380 1.028 0.011 1.092 0.030 1.024 0.011
28 47.500 1.927 1.032 0.016 0.952 0.083 1.026 0.015
35 45.889 2.947 1.032 0.016 1.013 0.064 1.037 0.022
HET
n=19
14 19.263 2.763 1.138 0.070 1.151 0.101 1.316 0.127
21 32.368 3.388 1.104 0.026 1.199 0.082 1.160 0.062
28 34.737 3.456 1.111 0.029 1.129 0.073 1.106 0.028
35 31.211 4.190 1.033 0.069 1.158 0.125 1.022 0.106
KO
n=15
14 19.333 3.817 1.143 0.102 1.299 0.115 1.195 0.155
21 31.467 4.079 1.128 0.051 1.111 0.089 1.135 0.042
28 34.467 4.440 1.154 0.048 1.138 0.144 1.248 0.096
35 34.067 5.330 0.918 0.101 0.907 0.125 0.927 0.104
Dunn's test p WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO
14 0.008 0.008 0.445 0.039 0.037 0.447 0.182 0.058 0.234 0.063 0.173 0.308
21 0.009 0.009 0.445 0.011 0.022 0.436 0.007 0.065 0.204 0.012 0.005 0.319
28 0.005 0.011 0.449 0.011 0.003 0.278 0.008 0.075 0.196 0.005 0.004 0.390
35 0.004 0.041 0.225 0.121 0.259 0.039 0.037 0.303 0.120 0.031 0.475 0.043
Cohen’s d
14 0.912 0.820 0.005 0.166 0.157 0.014 0.307 0.111 0.335 0.350 0.064 0.210
21 0.932 0.982 0.059 0.854 0.723 0.149 0.395 0.076 0.250 0.689 0.960 0.109
28 1.045 0.999 0.017 0.757 0.906 0.277 0.531 0.409 0.021 0.829 0.876 0.543
35 0.933 0.709 0.148 0.004 0.428 0.336 0.332 0.276 0.482 0.045 0.394 0.216
Legend: days in vitro (DIV); SEM (standard error of the mean); wildtype (WT); Mecp2-heterozygous (HET); Mecp2-hemizygous (KO)
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Table S5
Table S5. Statistical comparisons of network dynamics in Mecp2-deficient and wildtype microscale networks, Related to Figure 5. Properties of activity
patterns identified using non -negative matrix factori zation (NMF) in Mecp2-WT, -Het, and -KO cortical cultures (n=number of cultures) across DIV 14 -35.
Reported measures include the number of significant NMF components and the number of electrodes per significant NMF component. Genotype comparisons
were assessed using nparLD with Dunn’s test post hoc comparisons and Cohen’s d effect sizes.
Summary # Significant NMF Components # Electrodes Per NMF Component
Group DIV Mean ±SEM Mean ±SEM
WT
n=18
14 22.889 1.762 8.075 1.384
21 24.889 1.885 15.158 2.121
28 26.889 1.475 16.829 0.901
35 25.889 1.831 17.352 1.422
HET
n=19
14 13.842 1.898 6.024 1.028
21 19.421 1.728 10.996 1.532
28 20.526 1.886 13.043 1.599
35 18.000 2.116 12.377 2.717
KO
n=15
14 13.533 2.428 6.352 1.576
21 18.867 2.453 10.801 2.149
28 19.667 2.860 14.185 2.636
35 20.667 2.700 11.332 2.395
Dunn's test p WT-HET WT-KO HET-KO WT-HET WT-KO HET-KO
14 0.002 0.002 0.436 0.155 0.121 0.413
21 0.009 0.018 0.443 0.060 0.069 0.492
28 0.008 0.023 0.395 0.092 0.275 0.255
35 0.008 0.085 0.180 0.016 0.027 0.461
Cohen’s d
14 1.146 1.114 0.035 0.394 0.288 0.062
21 0.704 0.691 0.066 0.527 0.501 0.026
28 0.868 0.824 0.090 0.669 0.356 0.134
35 0.923 0.575 0.273 0.525 0.785 0.097
Legend: days in vitro (DIV); SEM (standard error of the mean); wildtype (WT); Mecp2-heterozygous (HET); Mecp2-hemizygous (KO); non-negative matrix
factorization (NMF)
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