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In this work, the influence of geometry and domain size on spatiotemporal pattern formation is investigated to establish parameter spaces for a cross-diffusive reaction-diffusion model on an annulus. By applying linear stability theory, we…

动力系统 · 数学 2024-12-31 Gulsemay Yigit , Wakil Sarfaraz , Raquel Barreira , Anotida Madzvamuse

Robustness of spatial pattern against perturbations is an indispensable property of developmental processes for organisms, which need to adapt to changing environments. Although specific mechanisms for this robustness have been extensively…

适应与自组织系统 · 物理学 2017-04-05 Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

Achieving precise synchronisation between transmitters and receivers is particularly challenging in diffusive molecular communication environments. To this end, point-to-point molecular communication system design is examined wherein…

信号处理 · 电气工程与系统科学 2018-11-09 Tze-Yang Tung , Urbashi Mitra

A neural field models the large scale behaviour of large groups of neurons. We extend results of van Gils et al. [2013] and Dijkstra et al. [2015] by including a diffusion term into the neural field, which models direct, electrical…

动力系统 · 数学 2021-01-29 Len Spek , Yuri A. Kuznetsov , Stephan A. van Gils

Mathematical models of stem cell differentiation are commonly based upon the concept of subsequent cell fate decisions, each controlled by a gene regulatory network. These networks exhibit a multistable behavior and cause the system to…

定量方法 · 定量生物学 2011-07-06 Christian Breindl , Daniella Schittler , Steffen Waldherr , Frank Allgöwer

In a first step towards the comprehension of neural activity, one should focus on the stability of the various dynamical states. Even the characterization of idealized regimes, such as a perfectly periodic spiking activity, reveals…

无序系统与神经网络 · 物理学 2014-09-08 Simona Olmi , Antonio Politi , Alessandro Torcini

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

神经元与认知 · 定量生物学 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

机器学习 · 计算机科学 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

Learning and memory are acquired through long-lasting changes in synapses. In the simplest models, such synaptic potentiation typically leads to runaway excitation, but in reality there must exist processes that robustly preserve overall…

神经元与认知 · 定量生物学 2016-10-26 Yogesh S. Virkar , Woodrow L. Shew , Juan G. Restrepo , Edward Ott

Message passing between components of a distributed physical system is non-instantaneous and contributes to determine the time scales of the emerging collective dynamics like an effective inertia. In biological neuron networks this inertia…

神经元与认知 · 定量生物学 2019-10-15 Matteo Biggio , Marco Storace , Maurizio Mattia

Protein aggregation on the plasma membrane (PM) is of critical importance to many cellular processes such as cell adhesion, endocytosis, fibrillar conformation, and vesicle transport. Lateral diffusion of protein aggregates or clusters on…

亚细胞过程 · 定量生物学 2019-08-15 L. M. Stolerman , M. Getz , S. G. Llewellyn Smith , M. Holst , P. Rangamani

Triggering a single additional spike in a cerebral cortical neuron was recently demonstrated to cause a cascade of extra spikes in the network that is likely to rapidly decorrelate the network's microstate. The mechanisms involved in this…

神经元与认知 · 定量生物学 2011-03-01 Michael Monteforte , Fred Wolf

Serotonin (5-hydroxytryptamine) is a major neurotransmitter whose release from densely distributed serotonergic varicosities shapes plasticity and network integration throughout the brain, yet its extracellular dynamics remain poorly…

组织与器官 · 定量生物学 2026-05-21 Merlin Pelz , Skirmantas Janusonis , Gregory Handy

Machine learning approaches to Structure-Based Drug Design (SBDD) have proven quite fertile over the last few years. In particular, diffusion-based approaches to SBDD have shown great promise. We present a technique which expands on this…

机器学习 · 计算机科学 2024-07-01 Matan Halfon , Eyal Rozenberg , Ehud Rivlin , Daniel Freedman

Elucidating the neurophysiological mechanisms underlying neural pattern formation remains an outstanding challenge in Computational Neuroscience. In this paper, we address the issue of understanding the emergence of neural patterns by…

神经元与认知 · 定量生物学 2024-06-04 Gregory Dumont , Carmen Oana Tarniceriu

The fundamental processes of biological development are governed by multiple signaling molecules that create non-uniform concentration profiles known as morphogen gradients. It is widely believed that the establishment of morphogen…

生物物理 · 物理学 2015-06-18 Hamid Teimouri , Anatoly B. Kolomeisky

This paper presents an analytical comparison of active and passive receiver models in diffusive molecular communication. In the active model, molecules are absorbed when they collide with the receiver surface. In the passive model, the…

新兴技术 · 计算机科学 2017-03-20 Adam Noel , Yansha Deng , Dimitrios Makrakis , Abdelhakim Hafid

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

神经元与认知 · 定量生物学 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

We analyze the stability of micro-domains of ligand-receptor bonds that mediate the adhesion of biological model membranes. After evaluating the effects of membrane fluctuations on the binding affinity of a single bond, we characterize the…

软凝聚态物质 · 物理学 2012-11-22 Daniel Schmidt , Timo Bihr , Udo Seifert , Ana-Sunčana Smith

Spiking Neural Networks are powerful computational modelling tools that have attracted much interest because of the bioinspired modelling of synaptic interactions between neurons. Most of the research employing spiking neurons has been…

神经与进化计算 · 计算机科学 2019-03-05 Huanneng Qiu , Matthew Garratt , David Howard , Sreenatha Anavatti