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Notice most timepoints contain a mixture of symmetric and asymmetric domain activations. **b** Cortical active fraction timecourses for both hemispheres. **c** Hemispheric domain centers of mass for coactive frames in a recording along medial-lateral (ML) and anterior-posterior (AP) extents. Bottom left panels show the periods indicated by black bars at expanded view. Pearson's correlation: ML, p = 1.1591e-28; AP, p = 7.0982e-07. **d** Hemispheric autocorrelation and cross-correlation functions for cortical activity at all and short time lags. Notice the peaks above gaussian distributed noise (blue traces).](figure2.png) +![ **Figure 2.** Cortical domain activity exhibits bilateral symmetry. **a** Examples of domains exhibiting spatially symmetric activations. Notice most timepoints contain a mixture of symmetric and asymmetric domain activations. **b** Cortical active fraction timecourses for both hemispheres. **c** Hemispheric domain centers of mass for coactive frames in a recording along medial-lateral (ML) and anterior-posterior (AP) extents. Bottom left panels show the periods indicated by black bars at expanded view. Pearson's correlation: ML, p = 1.1591e-28; AP, p = 7.0982e-07. **d** Hemispheric autocorrelation and cross-correlation functions for cortical activity at all and short time lags. Notice the peaks above gaussian distributed noise (blue traces).](figure2.png) @@ -69,7 +74,7 @@ frequency | 2.9 | | | domains/sec/hemisphere The big secondary peaks around ±30 sec is present in both autocorrs and xcorrs and is far above the random normal xcorr baseline (blue trace). In fact there is a periodicity seen in the autocorrs and the xcorrs where there is a dampening oscillation about on this interval! (See ideal dampening frequency in random sine wave example above). This corresponds to a 1/30sec == 0.033 Hz ultra-slow oscillation. -Looking at the above plot showing lags from [–1000, 1000] frames which is ± 200 s, we can see about 5.5 cycles of this underlying dampening oscillation in both autocorr plots. This corresponds to (1000fr*0.2sec/fr)/5.5 => 36.36 sec/cycle => 0.0275 cycles/sec or ~0.03 Hz +{==Looking at the above plot showing lags from [–1000, 1000] frames which is ± 200 s, we can see about 5.5 cycles of this underlying dampening oscillation in both autocorr plots. This corresponds to (1000fr*0.2sec/fr)/5.5 => 36.36 sec/cycle => 0.0275 cycles/sec or ~0.03 Hz==}{>>Crazy!<<} **Conclusions:** So the activity in both hemispheres at postnatal day 3 (P3) clearly exhibits significant spatial correlations in both in the medial-lateral and anterior-extent. This is consistent with and complementary to the fact that the active pixel fraction in each hemisphere exhibits a strong temporal correlation as I found earlier in this report [Temporal correlation of activity][]. The medial-lateral positional correlation is stronger than the anterior-posterior (higher *R* and lower *p* value). The total number of coactive frames is `numel(y1(~isnan(y1)&~isnan(y2)))` == **1114 frames**. This is accounts to **37.13%** of the movie or **222.8 s**. Cortex.L had 1635 actvFrames and cortex.R had 1677 actvFrames which means that each hemisphere was coactive with the other hemisphere 1114/1635 == **68.13%** and 1114/1677 == **66.43%** of the active time respectively. @@ -78,8 +83,6 @@ Looking at the above plot showing lags from [–1000, 1000] frames which is ± 2 - - ### Percentage of cortical activity which exhibits corr with motor signal? lenActvFraction>0 | fracCorr | timeCorr_s | fracCorrPos | timeCorrPos_s | fracCorrNeg | timeCorrNeg_s @@ -89,29 +92,38 @@ lenActvFraction>0 | fracCorr | timeCorr_s | fracCorrPos | timeCorrPos_s | fracCo - - - -## Developing cortical activity consists of distinct subnetworks - -![**Figure 3.** Subnetworks in developing isocortex. **a** Areal trace examples. Synchronized activations between hemispheres indicated by red links. **b** Correlation matrix of domain activity among cortical areas. Colormap indicates Pearson's r correlation coefficient values. **c** Map of cortical area associations for r > 0.2. **d** Graph of functional connections for r > 0.1. Community structure detected with hierarchical clustering are indicated in 4 colors. Notice that S1-limb/body regions form a distinct subgraph (green).](figure3.png) - - - ## Cortical domain activity is state dependent * EEG slow oscillations not detectable until P10 in rodent. * Previously demonstrated that general anesthesia abolishes spontaneous activity in visual system [#Ackman:2012]. * What about ongoing activity in other cortical areas during early brain development? Surgical procedure relevance. * No population calcium activity found during gen'l anesthesia, only slow traveling waves. -* During anesthesia induction, rapid (<30 s) knock down of discrete domain activity (P3 mouse <120518_09.tif>). Cingulate, retrosplenial activations the last to go-- default mode/resting state network areas last. +* During anesthesia induction, there is rapid (<30 s) knock down of discrete domain activity (P3 mouse <120518_09.tif>). Cingulate, retrosplenial activations the last to go-- default mode/resting state network areas last. <120518_09_mjpeg.mov> -![**Figure 4.** Cortical domains are state dependent. **a** Experimental schematic. Red light illumination measured with a photodiode (PD) was used to monitor motor activity. **b** Cortical activity (active fraction) in each hemisphere after onset of gas anesthetic. **c** Cortical activity and coincident motor activity signals. Gray shading indicates active and quiet motor periods determined by the half-rise and decay times from peak in the low pass filtered motor signal. Active pixel fraction traces for motor (M1,M2), somatosensory (HL,FL,T; barrel), and visual (V1,V2) cortex shown at bottom of panel. Red links show synchronized motor movements and brain activity with different cortical regions. **d** Single frame domain masks for times indicated in **c**. **e** Autocorrelation and cross-correlation functions for motor and all cortical activity or just S1-limb/body and motor cortex regions. Notice the general negative correlation between motor activity and all cortex activity signals (r = -0.1368, p = 5.1919e-14) and the high positive correlation between motor and S1-limb/body signals (r = 0.3019, p = 2.7861e-64). **f** Pixel activation frequency maps during quiet and active motor periods.](figure4.png) +Variation in the strength of correlation between cortical areas and the motor movement signal depended on brain region (p < 2.2e-16, anova) and age (p = 1.627e-05, anova) The first age group in which motor cortex exhibited signficant positive correlation with motor movements was at P12-13 (r=0.06±0.02, p-value = 0.001449, t-test). + +![ **Figure 3**. Cortical domains are state dependent. **a** Experimental schematic. Red light illumination measured with a photodiode (PD) was used to monitor motor activity. **b** Cortical activity (active fraction) in each hemisphere after onset of gas anesthetic. **c** Cortical activity and coincident motor activity signals. Gray shading indicates active and quiet motor periods determined by the half-rise and decay times from peak in the low pass filtered motor signal. Active pixel fraction traces for motor (M1,M2), somatosensory (HL,FL,T; barrel), and visual (V1,V2) cortex shown at bottom of panel. Red links show synchronized motor movements and brain activity with different cortical regions. **d** Single frame domain masks for times indicated in **c**. **e** Autocorrelation and cross-correlation functions for motor and all cortical activity or just S1-limb/body and motor cortex regions. Notice the general negative correlation between motor activity and all cortex activity signals (r = -0.1368, p = 5.1919e-14) and the high positive correlation between motor and S1-limb/body signals (r = 0.3019, p = 2.7861e-64). **f** Pixel activation frequency maps during quiet and active motor periods.](figure3.png) Low pass filtered Moving averages of cortical and motor activity at 10 s and >70 s windows. + + +## Developing cortical activity consists of distinct subnetworks + +We then calculated a matrix of pearsons correlation coefficients based on the pixel active fraction timecourses for each pair of parcellations. The resulting assocaition matrix was run through a hierarchal clustering alogtithm to reveal functional modules of of activation. These functional modules typically consisted of 3 distinct subnetworks-- a frontal motor network, a posterior parietal network, a S1-body/limb network, and an auditory A1 network at P12. + +We found many similarities but some striking differences as a function of age. + + +![ **Figure 4.** Subnetworks in developing isocortex. **a** Areal trace examples. Synchronized activations between hemispheres indicated by red links. **b** Correlation matrix of domain activity among cortical areas. Colormap indicates Pearson's r correlation coefficient values. **c** Map of cortical area associations for r > 0.2. **d** Graph of functional connections for r > 0.1. Community structure detected with hierarchical clustering are indicated in 4 colors. Notice that S1-limb/body regions form a distinct subgraph (green).](figure4.png) + + + + + + # Conclusions * Neural population activity constitutes discrete spatial and temporal activations among developing cortical areas