Submitted:
31 July 2026
Posted:
04 August 2026
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Abstract
Keywords:
1. Introduction
2. Results
2.1. Comparative Symmetrical Assessment of Neuro-Glial Architectures
2.1.1. Embryonic Chicken Retinal Neurons
- Rhythmic Identity and Temporal Calcium Dynamics
- Operational Clusters and Multi-Phasic Kinetics in Embryonic Retinal Neurons
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- Cluster 0: This subpopulation serves as the primary metabolic and rhythmic stabilizer of the circuit, representing 40.7% of the total population. It exhibited the most stable oscillatory profile, with negligible period variance across all experimental phases and no significant changes during either the early post-stimulus window or the late recovery phase (p>0.05; Figure 2A). This homeostatic stability is confirmed by a steady period trajectory constrained at a ∼40 s baseline, lower spectral power, and a recovery delta near zero (Figure 1E and Figure 2A). Its amplitude profile is characterized by a stable, moderate-intensity oscillation (∼0.24–0.28 AU) preserved uniformly throughout the entire recording timeline, while its wavelet spectrogram demonstrates a consistent low-frequency spectral band (Figure S1B,E).
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- Cluster 1: This cohort maintains a baseline-like periodicity immediately following the light pulse but manifests a pronounced, delayed period contraction during the late recovery phase (p<0.05; Figure 2A). This late-onset kinetic acceleration is highlighted by a significantly negative recovery delta in the parametric fingerprints (Figure 2C). In the time domain, Cluster 1 is distinguished by a progressive increase in rhythmic amplitude, which reaches its maximum peak (∼0.30 AU) precisely during the late recovery phase, suggesting its role in sustained circuit recalibration (Figure S1B).
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- Cluster 2: Operating as a high-sensitivity sensor, this cohort displays a marked period elongation immediately upon blue light exposure, driving its continuous period curve to a sharp, transient peak of ∼70 s post-stimulus (p<0.001). This acute kinetic deceleration is validated by an elevated activation ratio in the parametric violin plots (Figure 2C). In the time domain, Cluster 2 exhibits high-frequency, synchronized amplitude bursts immediately following the light pulse, subsequently stabilizing at a lower regime (∼0.22–0.26 AU) (Figure S1B).
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- Cluster 3: This subpopulation defines the circuit’s primary energy response, characterized by high baseline power and a highly volatile period trajectory. It exhibits a massive absolute energy response following stimulation, as evidenced by its dominant and highly significant Early Power Activation (p<0.001; Figure 2C). Its amplitude dynamics reveal a massive energetic envelope with a broad high-intensity peak (∼0.32 AU) that decays slowly (Figure S1B). Group-specific wavelet spectrograms confirm a broad, high-energy spectral expansion securely confined within the Cone of Influence (COI), ensuring the technical integrity of these photic responses (Figure S1E).
- Functional Logic and Network Organization
- Collective Coordination and Directed Interaction Architecture
- Technical Validation and Wavelet Resolution
2.1.2. Primary Chicken Müller Glial Cells (MGCs)
- Rhythmic Identity and Temporal Calcium Dynamics
- ○
- Cluster 0: This subpopulation anchors the network’s stability, maintaining a consistent period trajectory near ~75 s (Figure 3E and Figure 4A). While it serves as the stable core, it is not immune to photic energy; statistical analysis reveals a significant transient period shift during the early post-stimulus window (p=0.008; Wilcoxon Signed-Rank Test) before returning to a non-significant baseline in the late recovery phase (p>0.05). Its amplitude profile exhibits a slow-rising trend that peaks at the stimulus window (~0.375 AU) before a gradual decay, reflecting its role as a homeostatic buffer (Figure S2B).
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- Cluster 1: This sub-population is distinguished by a unique, progressive rhythmic reconfiguration. Following the light pulse, it undergoes a significant period elongation in the early phase, followed by a sustained acceleration. This long-term kinetic shift is confirmed by highly significant period changes in both early (p<0.001) and late (p=0.001) phases (Figure 4A). In the time domain, Cluster 1 exhibits a “spike-and-plateau” amplitude singularity: it is characterized by an extreme initial amplitude spike (peaking >2.5 AU) immediately upon stimulation, which rapidly decays into a sustained, high-intensity plateau (~0.5 AU) that persists throughout the recovery phase.
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- Cluster 2: Functioning as the primary kinetic responder, this subpopulation demonstrates a significant and statistically robust period contraction from a basal ~70 s down to ~30 s in the late phase (Figure 3E and Figure 4A). This acceleration is highly significant for both the early (p=0.042) and late recovery segments (p<0.0001). Its amplitude profile is highly dynamic, showing a defined peak (~0.33 AU) that directly coincides with its maximum rhythmic acceleration, marking this cluster as the key node for rapid glial adaptation to light stimulus (Figure S2B).
- Functional Logic and Network Organization
- Collective Coordination and Directed Interaction Architecture in Primary MGCs
- Technical Note on Wavelet Resolution and COI: The “slow transient” nature of these glial rhythms (periods of 75–90 s) within a 250 s recording window results in a more restrictive COI compared to neuronal models. This characteristic suggests that MGCs operate in a regime of ultra-slow calcium dynamics, where the analysis of wavelet ridges is essential to distinguish real biological oscillations from technical drift (Figure S2C).
- Technical Validation
2.1.3. Human Müller Cell Line (MIO-M1)
- Rhythmic Identity and Temporal Calcium Dynamics
- ○
- Cluster 0: This variant serves as the primary metabolic stabilizer of the network. It exhibits a significant transient period sensitivity immediately following the light pulse—tracking a brief period elongation (p<0.001) before executing a mathematically precise homeostatic reversal to baseline during the late recovery phase (Figure 5E and Figure 6A). Its amplitude profile is characterized by a stable, moderate-intensity regime (∼0.22–0.28 AU), ensuring a consistent calcium flux that supports baseline retinal physiology (Figure S3B).
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- Cluster 1 : Functioning as a highly stable, inert reservoir, this population maintains a steady rhythmic baseline and remains statistically unchanged across all experimental phases (p>0.05; Figure 6A). Beyond its temporal stability, its amplitude dynamics reveal a gradual, sustained sigmoidal rise peaking near ∼0.34 AU, suggesting it acts as a long-term metabolic effector that stores and slowly releases signaling potential to maintain network tone (Figure S3B).
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- Cluster 2 : This cohort displays severe and persistent period alterations across both the early post-stimulus and late recovery windows (p<0.001; Figure 6A). The continuous wavelet spectrogram reveals a persistent gain of power anchored in ultra-slow frequency bands, indicating a chronic shift in rhythmic identity induced by photic stress (Figure S3E). In the time domain, Cluster 2 is distinguished by an acute early amplitude spike (∼0.31 AU) followed by a rapid, exponential decay, a signature of rapid energy expenditure typical of “active sensor” nodes (Figure S3B).
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- Cluster 3: Defining the extreme reactive profile of the human model, this subpopulation exhibits an absolute extreme early activation power signature (>34), significantly outperforming all other clusters (p<0.001; Figure 6A). Most notably, its amplitude curve reveals a high-intensity envelope peaking at ∼0.45 AU the highest intensity recorded in the study which coincides with its stable basal period of ∼110 s (Figure 5D and Figure 6A). The subsequent precipitous period contraction down to ∼40 s (p<0.001) confirms a late-onset dynamic reconfiguration, positioning Cluster 3 as the primary hub for managing extreme energetic demands and long-term adaptation.
- Functional Logic and Network Organization
- Collective Coordination and Directed Interaction Architecture
- Technical Validation and Wavelet Resolution
2.2. Figures, Tables and Schemes
3. Discussion
3.1. Rhythmic Architecture and Functional Heterogeneity of the Vertebrate Retina
3.2. Kinetic Divergence: Fast Neuronal Resetting vs. Slow Glial Integration
3.3. Intrinsic Photosensitivity and Functional Heterogeneity Rhythmic Coding and the Dual-Mode Regulation of Müller Glial Dynamics
3.4. Species-Specific Divergence and Model Limitations
3.5. Functional Synergy
4. Materials and Methods
4.1. Primary Cultures of chicken Müller Glial and Retinal Neuron Cells
4.2. Human MIO-M1 Cell Culture
4.3. Calcium Imaging by Fluorescence Microscopy
4.4. Computational Analysis and Functional Clustering
4.4.1. Signal Processing and Wavelet-Based Time-Frequency Analysis
4.4.2. Feature Engineering and the Spectral Fingerprint Metrics
- Early Power: The mean squared spectral power immediately following stimulus onset, quantifying total activation energy. Elevated values reflect a highly synchronized, high-amplitude recruitment of cellular machinery, typically associated with massive mobilization of intracellular stores.
- Activation Ratio: The ratio of Power Early /Power Basal, identifying active photic enhancement versus refractory states. Values strictly exceeding unity (>1) demonstrate active photic enhancement of cellular rhythms, whereas values ≤1 highlight a refractory state or stimulus-induced rhythmic suppression. Crucially, cells with high basal energy reservoirs can exhibit lower activation ratios due to baseline saturation despite maintaining massive absolute post-stimulus power.
- Recovery Delta: The net change in biological period (Period Late −Period Basal ), where negative values denote post-stimulus rhythmic acceleration. A positive delta (Δ>0) indicates an elongation of the oscillatory period during recovery, indicating a deceleration of the intracellular pacemaker. Conversely, a negative delta (Δ<0) indicates period contraction, revealing post-stimulus rhythmic acceleration or an accelerated homeostatic adaptation.
- Kinetic Variability: Measured through the Coefficient of Variation (CV) of both frequency and period to assess oscillatory stability.
4.4.3. Unsupervised Clustering and Model Architecture
4.4.4. Supervised Validation and Feature Importance
4.4.5. Network Dynamics and Statistical Framework
- Intra-cluster dynamics: Evaluated using the Wilcoxon Signed-Rank Test for paired temporal segments. Inter-cluster comparisons: Performed via ANOVA followed by Tukey’s Honestly Significant Difference (HSD) post-hoc test.
- Phase Coupling: The directionality of interaction was determined using a One-Sample Wilcoxon Test against a null hypothesis of zero median phase difference. A minimum sample size of N=6 was required for all statistical validations
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
Acknowledgments
Abbreviations
| Ca2+ | Calcium |
| CWT | Continuous Wavelet Transform |
| GCL | Ganglion Cell Layer |
| INL | Inner Nuclear Layer |
| RGCs | Retinal ganglion cells |
| MGCs | Müller glial cells |
| ONL | Outer Nuclear Layer |
| Opn | Opsin |
| PLC | Phospholipase C |
| UMAP | Uniform Manifold Approximation and Projection |
| UV | Ultraviolet |
| COI | Cone of Influence |
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