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Interactions between neighboring cells are essential for generating or refining patterns in a number of biological systems. We propose a discrete filtering approach to predict how networks of cells modulate spatially varying input signals…

Tissues and Organs · Quantitative Biology 2019-02-14 Melinda Liu Perkins , Murat Arcak

We study a stochastic system of interacting neurons and its metastable properties. The system consists of $N$ neurons, each spiking randomly with rate depending on its membrane potential. At its spiking time, the neuron potential is reset…

Probability · Mathematics 2020-12-09 Eva Löcherbach , Pierre Monmarché

We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the…

The hippocampus supports spatial navigation by encoding cognitive maps through collective place cell activity. We model the place cell population as non-negative spatial embeddings derived from the spectral decomposition of multi-step…

Neurons and Cognition · Quantitative Biology 2025-10-28 Minglu Zhao , Dehong Xu , Deqian Kong , Wen-Hao Zhang , Ying Nian Wu

Understanding how receptive fields emerge and organize within brain networks and how neural dynamics couple with stimuli space is fundamental to neuroscience. Models often rely on fine-tuning connectivity to match empirical data, which may…

Neurons and Cognition · Quantitative Biology 2026-01-07 Vasilii Tiselko , Alexander Gorsky , Yuri Dabaghian

Macroscopic properties and shapes of biological tissues depend on the remodelling of cell-cell junctions at the microscopic scale. We propose a theoretical framework that couples a vertex model of solid confluent tissues with the dynamics…

Soft Condensed Matter · Physics 2020-12-02 Clement Zankoc , Matej Krajnc

In this paper the evolution of a binary mixture in a thin-film geometry with a wall at the top and bottom is considered. By bringing the mixture into its miscibility gap so that no spinodal decomposition occurs in the bulk, a slight…

The cellular basis for the adaptive immune response during antigen recognition relies on a specialized protein interface known as the immunological synapse (IS). Understanding the biophysical basis for protein patterning by deciphering the…

Biological Physics · Physics 2016-02-17 Andreas Carlson , L. Mahadevan

Epilepsy is one of the most common neurological disorders globally, affecting millions of individuals. Despite significant advancements, the precise mechanisms underlying this condition remain largely unknown, making accurately predicting…

Systems and Control · Electrical Eng. & Systems 2024-04-05 Yuzhen Qin , Ahmed El-Gazzar , Danielle S. Bassett , Fabio Pasqualetti , Marcel van Gerven

Cell plasma membranes display a dramatically rich structural complexity characterized by functional sub-wavelength domains with specific lipid and protein composition. Under favorable experimental conditions, patterned morphologies can also…

Soft Condensed Matter · Physics 2018-10-02 Nicolas Destainville , Manoel Manghi , Julie Cornet

Excitatory synaptic connections in the adult neocortex consist of multiple synaptic contacts, almost exclusively formed on dendritic spines. Changes of dendritic spine shape and volume, a correlate of synaptic strength, can be tracked in…

Neurons and Cognition · Quantitative Biology 2018-03-13 Moritz Deger , Alexander Seeholzer , Wulfram Gerstner

In this work, we propose a dynamical systems perspective on the modeling of sepsis and its organ-damaging consequences. We develop a functional two-layer network model for sepsis based upon the interaction of parenchymal cells and immune…

Adaptation and Self-Organizing Systems · Physics 2022-03-28 Rico Berner , Jakub Sawicki , Max Thiele , Thomas Löser , Eckehard Schöll

Neurons regulate the distribution of signaling components across an extended tree-like cellular structure using both local and global feedback control. This is hypothesized to allow homeostatic control of the electrical activity of a neuron…

Adaptation and Self-Organizing Systems · Physics 2021-04-27 Saeed Aljaberi , Adriano Bellotti , Timothy O'Leary , Fulvio Forni

The N-methyl-D-aspartate receptor (NMDAR) is a crucial component of synaptic transmission, and its dysfunction is implicated in many neurological diseases and psychiatric conditions. NMDAR-based short-term postsynaptic plasticity (STPP) is…

Neurons and Cognition · Quantitative Biology 2023-09-28 Huilin Zhao , Sungchil Yang , Chi Chung Alan Fung

A major challenge in biology is to understand how molecular processes determine phenotypic features. We address this fundamental problem in a class of model systems by developing a general mathematical framework that allows the calculation…

Molecular Networks · Quantitative Biology 2014-02-25 Nils Christian , Alexander Skupin , Silvia Morante , Karl Jansen , Giancarlo Rossi , Oliver Ebenhöh

In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability and none of the coupled neurons exhibit mixed mode…

Dynamical Systems · Mathematics 2024-01-18 Mohammad Reza Razvan , Somaye Yasaman

Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide detailed information about neural spiking but have…

Neurons and Cognition · Quantitative Biology 2018-02-07 Andrea K. Barreiro , Shree Hari Gautam , Woodrow L. Shew , Cheng Ly

In Diffusive Molecular Communication (DMC), information is transmitted by diffusing molecules. Synaptic signaling is a natural implementation of this paradigm. It is responsible for relaying information from one neuron to another, but also…

Subcellular Processes · Quantitative Biology 2021-10-01 Sebastian Lotter , Arman Ahmadzadeh , Robert Schober

We propose a model of mass-conserving heterogeneous nucleation to describe the dynamics of ligand-receptor binding in closed cellular compartments. When the ligand dissociation rate is small, competition among receptors for free ligands…

Soft Condensed Matter · Physics 2015-05-30 T. Chou , M. D'Orsogna

Transport of molecules across membrane channels is investigated theoretically using exactly solvable discrete stochastic site-binding models. It is shown that the interaction potential between molecules and the channel has a strong effect…

Soft Condensed Matter · Physics 2009-11-11 Anatoly B. Kolomeisky
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