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In this work we study the synchronization of Kuramoto oscillators driven by external forces in complex modular networks. The motivation is the neuronal dynamics that takes place during information processing in the neural cortex. The neuron…

Adaptation and Self-Organizing Systems · Physics 2020-04-02 Carolina Arruda Moreira

Computational approaches which emulate in-vivo nervous system are needed to investigate mechanisms of the brain to orchestrate behavior. Such approaches must integrate a series of biophysical models encompassing the nervous system, muscles,…

Quantitative Methods · Quantitative Biology 2025-06-05 Jimin Kim , Jeremy T. Florman , Julia A. Santos , Mark J. Alkema , Eli Shlizerman

Neural systems show a modular and typically also a hierarchical organisation across different levels and across different species. Topology relates to function, but it is also influences dynamics as earlier studies showed its effect on…

Neurons and Cognition · Quantitative Biology 2014-05-15 Marcus Kaiser

Brain functions require both segregated processing of information in specialized circuits, as well as integration across circuits to perform high-level information processing. One possible way to implement these seemingly opposing demands…

In a large variety of systems (biological, physical, social etc.), synchronization occurs when different oscillating objects tune their rhythm when they interact with each other. The different underlying network defining the connectivity…

Adaptation and Self-Organizing Systems · Physics 2023-03-07 Juliette Courson , Thanos Manos , Mathias Quoy

To establish the relationship between locomotory behavior and dynamics of neural circuits in the nematode C. elegans we combined molecular and theoretical approaches. In particular, we quantitatively analyzed the motion of C. elegans with…

Neurons and Cognition · Quantitative Biology 2008-06-10 Jan Karbowski , Gary Schindelman , Chris J. Cronin , Adeline Seah , Paul W. Sternberg

The dynamical responses of complex neuronal networks to external stimulus injected on a \emph{single} neuron are investigated. Stimulating the largest-degree neuron in the network, it is found that as the intensity of the stimulus…

Chaotic Dynamics · Physics 2016-04-13 Mengjiao Chen , Weijie Lin , Hengtong Wang , Wei Ren , Xingang Wang

Given the inner complexity of the human nervous system, insight into the dynamics of brain activity can be gained from understanding smaller and simpler organisms, such as the nematode C. Elegans. The behavioural and structural biology of…

Neurons and Cognition · Quantitative Biology 2021-07-15 Gonçalo Mestre , Ruxandra Barbulescu , Arlindo L. Oliveira , L. Miguel Silveira

Synchronization underlies phenomena including memory and perception in the brain, coordinated motion of animal flocks, and stability of the power grid. These synchronization phenomena are often modeled through networks of phase-coupled…

Systems and Control · Computer Science 2015-11-02 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

The connectome, or the entire connectivity of a neural system represented by network, ranges various scales from synaptic connections between individual neurons to fibre tract connections between brain regions. Although the modularity they…

Neurons and Cognition · Quantitative Biology 2014-10-01 Jinseop S. Kim , Marcus Kaiser

We investigate how locomotory behavior is generated in the brain focusing on the paradigmatic connectome of nematode Caenorhabditis elegans (C. elegans) and on neuronal activity patterns that control forward locomotion. We map the neuronal…

Adaptation and Self-Organizing Systems · Physics 2020-06-17 Thomas Maertens , Eckehard Schöll , Jorge Ruiz , Philipp Hövel

Hierarchically modular organization is a canonical network topology that is evolutionarily conserved in the nervous systems of animals. Within the network, neurons form directional connections defined by the growth of their axonal…

Neurons and Cognition · Quantitative Biology 2024-04-26 Nobuaki Monma , Hideaki Yamamoto , Naoya Fujiwara , Hakuba Murota , Satoshi Moriya , Ayumi Hirano-Iwata , Shigeo Sato

Probing the developing neural circuitry in Caenorhabditis elegans has enhanced our understanding of nervous systems. The C. elegans connectome, like those of other species, is characterized by a rich club of densely connected neurons…

Neurons and Cognition · Quantitative Biology 2021-08-26 Alec Helm , Ann S. Blevins , Danielle S. Bassett

C. elegans locomotion is composed of switches between forward and reversal states punctuated by turns. This locomotory capability is necessary for the nematode to move towards attractive stimuli, escape noxious chemicals, and explore its…

Neurons and Cognition · Quantitative Biology 2025-01-03 Megan Morrison , Lai-Sang Young

Neural network models comprising elements which have exclusively excitatory or inhibitory synapses are capable of a wide range of dynamic behavior, including chaos. In this paper, a simple excitatory-inhibitory neural pair, which forms the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Sitabhra Sinha , Jayanta Basak

Most real-world networks exhibit a significant degree of modularity. Understanding the effects of such topology on dynamical processes is pivotal for advances in social and natural sciences. In this work we consider the dynamics of Kuramoto…

Adaptation and Self-Organizing Systems · Physics 2026-03-20 Leonardo L. Bosnardo , Marcus A. M. de Aguiar

We investigate in depth the synchronization of coupled oscillators on top of complex networks with different degrees of heterogeneity within the context of the Kuramoto model. In a previous paper [Phys. Rev. Lett. 98, 034101 (2007)], we…

Statistical Mechanics · Physics 2008-01-29 Jesus Gomez-Gardenes , Yamir Moreno , Alex Arenas

A quantitative understanding of how sensory signals are transformed into motor outputs places useful constraints on brain function and helps reveal the brain's underlying computations. We investigate how the nematode C. elegans responds to…

Neurons and Cognition · Quantitative Biology 2020-08-18 Mochi Liu , Anuj K Sharma , Joshua W Shaevitz , Andrew M Leifer

Sensory receptor neurons match their dynamic range to ecologically relevant stimulus intensities. How this tuning is achieved is poorly understood in most receptors. We show that in the C. elegans URX O2 sensing neurons two putative…

Neurons and Cognition · Quantitative Biology 2022-10-12 Shigekazu Oda , Yu Toyoshima , Mario de Bono

Brain research has been driven by enquiry for principles of brain structure organization and its control mechanisms. The neuronal wiring map of C. elegans, the only complete connectome available till date, presents an incredible opportunity…

Neurons and Cognition · Quantitative Biology 2016-11-28 Rahul Badhwar , Ganesh Bagler
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