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Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially heterogeneous manner. Mathematical models of these…

Numerical Analysis · Mathematics 2025-11-20 Qiyao Peng , Sander C. Hille

Many fundamental biological processes are dependent on cellular migration. Although the mechanical mechanisms of single-cell migration are relatively well understood, those underlying migration of multiple cells adhered to each other in a…

Biological Physics · Physics 2023-07-25 Katsuhiko Sato

Nuclei import and export proteins, including cell cycle regulators. These import-export processes are modulated periodically by the cell cycle, for example due to the periodic assembly and breakdown of the nuclear envelope. As such,…

Biological Physics · Physics 2021-06-30 Felix E. Nolet , Lendert Gelens

Activation of naive CD8 T-cells can lead to the generation of multiple effector and memory subsets. Multiple parameters associated with activation conditions are involved in generating this diversity that is associated with heterogeneous…

Cell Behavior · Quantitative Biology 2019-03-05 Simon Girel , Christophe Arpin , Jacqueline Marvel , Olivier Gandrillon , Fabien Crauste

Intracellular transport processes are essential to the healthy development of many organisms as well as more generally to healthy cellular function. The complex dynamics and interactions between protein molecules and filaments on different…

Dynamical Systems · Mathematics 2022-07-27 Maria-Veronica Ciocanel

The spatial structure of populations is a key element in the understanding of the large scale spreading of epidemics. Motivated by the recent empirical evidence on the heterogeneous properties of transportation and commuting patterns among…

Populations and Evolution · Quantitative Biology 2008-03-19 Vittoria Colizza , Alessandro Vespignani

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

Molecular Networks · Quantitative Biology 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

Hybrid modeling provides an effective solution to cope with multiple time scales dynamics in systems biology. Among the applications of this method, one of the most important is the cell cycle regulation. The machinery of the cell cycle,…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Vincent Noël , Sergey Vakulenko , Ovidiu Radulescu

Intracellular protein patterns regulate many vital cellular functions, such as the processing of spatiotemporal information or the control of shape deformations. To do so, pattern-forming systems can be sensitive to the cell geometry by…

Biological Physics · Physics 2024-05-15 Tom Burkart , Benedikt J. Müller , Erwin Frey

Clustering of molecules on biological membranes is a widely observed phenomenon. In some cases, such as the clustering of Ras proteins on the membranes of mammalian cells, proper cell signaling is critically dependent on the maintenance of…

Molecular Networks · Quantitative Biology 2019-08-28 Martijn Wehrens , Pieter Rein ten Wolde , Andrew Mugler

There are numerous scenarios in which populations of cells migrate in crowded environments. Typical examples include wound healing, cancer growth and embryo development. In these crowded environments cells are able to interact with each…

Cell Behavior · Quantitative Biology 2019-07-03 Christian A. Yates , George Chappelle

The study of immune system aging, i.e. immunosenescence, is a relatively new research topic. It deals with understanding the processes of immunodegradation that indicate signs of functionality loss possibly leading to death. Even though it…

Artificial Intelligence · Computer Science 2010-07-05 Grazziela P. Figueredo , Uwe Aickelin , Amanda Whitbrook

In this paper we report, clarify and broaden various recent efforts to complement the chemistry-centered models of force generation in muscles by mechanics-centered models. The physical mechanisms of interest can be grouped into two…

Biological Physics · Physics 2018-06-26 Matthieu Caruel , Lev Truskinovsky

Lipolysis is a life-essential metabolic process, which supplies fatty acids stored in lipid droplets to the body in order to match the demands of building new cells and providing cellular energy. In this paper, we present a first…

Analysis of PDEs · Mathematics 2026-03-26 Reymart Salcedo-Lagunero , Klemens Fellner , Thomas Apel , Volker Kempf , Philipp Zilk

A cell is polarised when it has developed a main axis of organisation through the reorganisation of its cytosqueleton and its intracellular organelles. Polarisation can occur spontaneously or be triggered by external signals, like gradients…

Analysis of PDEs · Mathematics 2013-01-17 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

We present a detailed kinetic model for the Polymerase Chain Reaction, and model the probability of replication in terms of the physical parameters of the problem. Applying the theory of branching processes, we show the existance of a new…

Statistical Mechanics · Physics 2007-05-23 Guillermo A. Cecchi , Gustavo Stolovitzky

We propose a method, called as thick-target transmission (T3) method, to obtain an excitation function of interaction cross sections. In an ordinal experiment to measure the excitation function of interaction cross sections by the…

Nuclear Experiment · Physics 2016-10-18 M. Aikawa , S. Ebata , S. Imai

Cell size is a fundamental determinant of cellular physiology, influencing processes such as growth, division, and function. In this study, we develop a segmented mathematical framework to investigate how different control mechanisms…

Cell Behavior · Quantitative Biology 2026-02-02 Shuqi Fan , Yuhang Zhang , Jinzhi Lei

Associative network models featuring multi-tasking properties have been introduced recently and studied in the low load regime, where the number $P$ of simultaneously retrievable patterns scales with the number $N$ of nodes as $P\sim \log…

Disordered Systems and Neural Networks · Physics 2013-03-01 Elena Agliari , Alessia Annibale , Adriano Barra , A. C. C. Coolen , Daniele Tantari

The motion of a eukaryotic cell presents a variety of interesting and challenging problems from both a modeling and a computational perspective. The processes span many spatial scales (from molecular to tissue) as well as disparate time…

Cell Behavior · Quantitative Biology 2010-11-25 Ben Vanderlei , James J. Feng , Leah Edelstein-Keshet
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