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In order to form the intricate network of synaptic connections in the brain, the growth cones migrate through the embryonic environment to their targets using chemical communication. As a first step to study self-wiring, 2D model systems of…

Disordered Systems and Neural Networks · Physics 2009-10-30 Ronen Segev , Eshel Ben-Jacob

A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, i.e. the tips of developing neurites. The model accounts for the influence of both attractive and repulsive chemical cues, which are emitted by the…

Analysis of PDEs · Mathematics 2025-11-04 Noah Geltner , Ansgar Jüngel

During embryonic morpho-genesis, a collection of individual neurons turns into a functioning network with unique capabilities. Only recently has this most staggering example of emergent process in the natural world, began to be studied.…

Condensed Matter · Physics 2007-05-23 Ronen Segev , Eshel Ben-Jacob

We propose a model for description of activity-dependent evolution and self-wiring between binary neurons. Specifically, this model can be used for investigation of growth of neuronal connectivity in the developing neocortex. By using…

Neurons and Cognition · Quantitative Biology 2007-05-23 Fail M. Gafarov

Cell migration in vivo is often guided by chemical signals. Such chemotaxis, such as performed by immune cells migrating to a wound site, is complicated by the complex geometry inside living tissues. In this study, we extend our theoretical…

Living systems contain intricate biochemical networks whose structure is closely related to their function and allows them to exhibit robust behavior in the presence of external stimuli. Such networks typically involve catalytic enzymes,…

Biological Physics · Physics 2025-10-27 Vincent Ouazan-Reboul , Ramin Golestanian , Jaime Agudo-Canalejo

Dynamical wiring and rewiring in neural networks are carried out by activity-dependent growth and retraction of axons and dendrites, guided by gudance molecules, released by target cells. Experience-dependent structural changes in cortical…

Neurons and Cognition · Quantitative Biology 2007-05-23 Fail M. Gafarov

Chemotaxis, i.e. motion generated by chemical gradients, is a motility mode shared by many living species that has been developed by evolution to optimize certain biological processes such as foraging or immune response. In particular,…

Soft Condensed Matter · Physics 2023-05-24 Hugues Meyer , Heiko Rieger

Cells perform directed motion in response to external stimuli that they detect by sensing the environment with their membrane protrusions. In particular, several biochemical and biophysical cues give rise to tactic migration in the…

Cell Behavior · Quantitative Biology 2020-07-15 N. Loy , M. Conte

Neural systems can be modeled as networks of functionally connected neural elements. The resulting network can be analyzed using mathematical tools from network science and graph theory to quantify the system's topological organization and…

Neurons and Cognition · Quantitative Biology 2020-07-01 Richard F. Betzel , Katherine C. Wood , Christopher Angeloni , Maria Neimark Geffen , Danielle S. Bassett

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

In the study of biological networks, one of the major challenges is to understand the relationships between network structure and dynamics. In this paper, we model in vitro cortical neuronal cultures as stochastic dynamical systems and…

Neurons and Cognition · Quantitative Biology 2022-05-04 Chumin Sun , K. C. Lin , C. Y. Yeung , Emily S. C. Ching , Yu-Ting Huang , Pik-Yin Lai , C. K. Chan

Despite recent interest in reconstructing neuronal networks, complete wiring diagrams on the level of individual synapses remain scarce and the insights into function they can provide remain unclear. Even for Caenorhabditis elegans, whose…

Neurons and Cognition · Quantitative Biology 2011-02-07 Lav R. Varshney , Beth L. Chen , Eric Paniagua , David H. Hall , Dmitri B. Chklovskii

Complex spatial patterns in biological systems often arise through self-organization without a central coordination, guided by local interactions and chemical signaling. In this study, we explore how motility-dependent chemical deposition…

Biological Physics · Physics 2025-04-24 Subhashree Subhrasmita Khuntia , Debasish Chaudhuri , Abhishek Chaudhuri

It is currently accepted that cortical maps are dynamic constructions that are altered in response to external input. Experience-dependent structural changes in cortical microcurcuts lead to changes of activity, i.e. to changes in…

Neurons and Cognition · Quantitative Biology 2013-02-26 F. Gafarov , N. Khusnutdinov , F. Galimyanov

Collective migration -- the directed, coordinated motion of many self-propelled agents -- is a fascinating emergent behavior exhibited by active matter that has key functional implications for biological systems. Extensive studies have…

Biological Physics · Physics 2022-06-07 Tapomoy Bhattacharjee , Daniel B. Amchin , Ricard Alert , J. A. Ott , Sujit S. Datta

Background: Living cells of many types need to move in response to external stimuli in order to accomplish their functional tasks; these tasks range from wound healing to immune response to fertilization. While the directional motion is…

Cell Behavior · Quantitative Biology 2015-05-28 Inbal Hecht , Herbert Levine , Wouter-Jan Rappel , Eshel Ben-Jacob

The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the…

Neurons and Cognition · Quantitative Biology 2009-11-10 Luciano da Fontoura Costa , Regina Celia Coelho

In contexts ranging from embryonic development to bacterial ecology, cell populations migrate chemotactically along self-generated chemical gradients, often forming a propagating front. Here, we theoretically show that the stability of such…

Biological Physics · Physics 2022-06-07 Ricard Alert , Alejandro Martínez-Calvo , Sujit S. Datta

One of the biggest challenges in biology is to understand how activity at the cellular level of neurons, as a result of their mutual interactions, leads to the observed behavior of an organism responding to a variety of environmental…

Neurons and Cognition · Quantitative Biology 2010-03-09 Raj Kumar Pan , Nivedita Chatterjee , Sitabhra Sinha
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