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Autores principales: Zhuo, Youhao, Liu, Yingpeng, Wu, Jiao, Xu, Kesheng, Zheng, Muhua
Formato: Preprint
Publicado: 2026
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Acceso en línea:https://arxiv.org/abs/2603.07114
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author Zhuo, Youhao
Liu, Yingpeng
Wu, Jiao
Xu, Kesheng
Zheng, Muhua
author_facet Zhuo, Youhao
Liu, Yingpeng
Wu, Jiao
Xu, Kesheng
Zheng, Muhua
contents Understanding how multi-scale network structure influences circadian rhythms in the suprachiasmatic nucleus (SCN) is essential for uncovering the principles of rhythmic robustness and synchronization. Previous studies using synthetic SCN networks suggested a size-dependent phenomenon, in which rhythmic activity initially strengthens with network size and then saturates, but it remains unclear whether this occurs in real SCN networks. Here, we apply geometric branch growth (GBG) and geometric renormalization (GR) to generate self-similar scaled-up and scaled-down replicas from a single-scale functional mouse SCN network. Unlike synthetic models, these SCN replicas do not exhibit size-dependent rhythms: average period, amplitude, and synchronization remain stable across scales. By increasing the average degree with network size, we reproduce size-dependent rhythms and show that they arise from network connectivity, whereas low-degree networks fragment and fail to sustain oscillations. Disrupting clustering self-similarity slightly reduces synchronization, but circadian rhythms remain robust, indicating that average degree, rather than clustering, is the dominant structural driver. These results highlight the resilience of SCN rhythms to network scaling and provide a framework for linking multi-scale network structure to biological timekeeping.
format Preprint
id arxiv_https___arxiv_org_abs_2603_07114
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Robustness and size-dependence of circadian rhythms in multiscale suprachiasmatic-nucleus networks
Zhuo, Youhao
Liu, Yingpeng
Wu, Jiao
Xu, Kesheng
Zheng, Muhua
Physics and Society
Computation
Understanding how multi-scale network structure influences circadian rhythms in the suprachiasmatic nucleus (SCN) is essential for uncovering the principles of rhythmic robustness and synchronization. Previous studies using synthetic SCN networks suggested a size-dependent phenomenon, in which rhythmic activity initially strengthens with network size and then saturates, but it remains unclear whether this occurs in real SCN networks. Here, we apply geometric branch growth (GBG) and geometric renormalization (GR) to generate self-similar scaled-up and scaled-down replicas from a single-scale functional mouse SCN network. Unlike synthetic models, these SCN replicas do not exhibit size-dependent rhythms: average period, amplitude, and synchronization remain stable across scales. By increasing the average degree with network size, we reproduce size-dependent rhythms and show that they arise from network connectivity, whereas low-degree networks fragment and fail to sustain oscillations. Disrupting clustering self-similarity slightly reduces synchronization, but circadian rhythms remain robust, indicating that average degree, rather than clustering, is the dominant structural driver. These results highlight the resilience of SCN rhythms to network scaling and provide a framework for linking multi-scale network structure to biological timekeeping.
title Robustness and size-dependence of circadian rhythms in multiscale suprachiasmatic-nucleus networks
topic Physics and Society
Computation
url https://arxiv.org/abs/2603.07114