title: Complexity versus modularity and heterogeneity in oscillatory networks: combining segregation and integration in neural systems.
abstract: Normal functioning in many realistic complex dynamical systems, such as neural networks, requires coherence and synchronization for collective actions of network components. However, strong synchronization of the whole network is often related to pathological situations. A regime in between enabling both segregation in subsystems and integration as a whole is thus desirable. Here, we characterize this regime by complexity of synchronization patterns and study its relationship to heterogeneous and modular architecture in complex network of oscillators. We show that these networks possess a broad range of high complexity associated with the formation of dynamical clusters and the coordination between the clusters. In realistic networks of C. elegans and cat cortex, the complexity is reduced when the original network is rewired in various ways, reflecting that the neural systems are organized to provide a combination of segregation and integration with the coexistence of various complex network features, especially modularity and heterogeneity. Our work can stimulate further studies on structure-function relationships in neural systems through the inquiry of the specific functional roles of the intermediate dynamical regime.
authors.affiliation: Department of Physics, Centre for Nonlinear Studies, and The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems Hong Kong, Hong Kong Baptist University, Kowloon Tong, Hong Kong, People's Republic of China.
authors.forename: Ming
authors.initials: M
authors.lastname: Zhao
authors.forename: Changsong
authors.initials: C
authors.lastname: Zhou
authors.forename: Yuhan
authors.initials: Y
authors.lastname: Chen
authors.forename: Bambi
authors.initials: B
authors.lastname: Hu
authors.forename: Bing-Hong
authors.initials: BH
authors.lastname: Wang
mesh_terms: D000818:Animals; D017173:Caenorhabditis elegans / Q000166:cytology / Q000502:physiology; D002415:Cats; D002540:Cerebral Cortex / Q000166:cytology / Q000502:physiology; D008954:Models, Biological; D009415:Nerve Net; D009474:Neurons / Q000166:cytology / Q000378:metabolism; D013569:Synapses / Q000378:metabolism