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Chemotaxis combines three processes: directional sensing, polarity reorientation and migration. Directed migration plays an important role in immune response, metastasis, wound healing and development. To describe chemotaxis, we extend a…

Biological Physics · Physics 2023-12-04 Pedro C. Dal-Castel , Gilberto L. Thomas , Gabriel C. Perrone , Rita M. C. de Almeida

The fundamental understanding of how cells physically interact with each other and their environment is key to understanding their organisation in living tissues. Over the past decades several computational methods have been developed to…

Quantitative Methods · Quantitative Biology 2026-01-22 Paul Van Liedekerke , Jiří Pešek , Kevin Alessandri , Dirk Drasdo

Collective motion of cells is common in many physiological processes, including tissue development, repair, and tumor formation. Recent experiments have shown that certain malignant cancer cells form clusters in a chemoattractant gradient,…

Biological Physics · Physics 2017-05-02 Katherine Copenhagen , Gema Malet-Engra , Weimiao Yu , Giorgio Scita , Nir Gov , Ajay Gopinathan

Collective migration of cells and animals often relies on a specialised set of "leaders", whose role is to steer a population of naive followers towards some target. We formulate a continuous model to understand the dynamics and structure…

Populations and Evolution · Quantitative Biology 2021-02-10 Sara Bernardi , Raluca Eftimie , Kevin J. Painter

Numerical investigation of the interaction of electromagnetic fields with eukaryotic cells requires specifically adapted computer models. Virtual microdosimetry, used to investigate exposure, requires volumetric cell models, which are…

A general theoretical framework is put forth to organize and understand various observed phenomena and mathematical relationships in the field of molecular biology. By modeling each cell in eukaryotic organisms as a processor having a…

Other Quantitative Biology · Quantitative Biology 2013-12-18 Barry D. Jacobson

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

The need for high-throughput, precise, and meaningful methods for measuring behavior has been amplified by our recent successes in measuring and manipulating neural circuitry. The largest challenges associated with moving in this direction,…

Biological Physics · Physics 2017-12-18 Gordon J. Berman

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

During development, spatio-temporal patterns ranging from checkerboard to engulfing occur with precise proportions of the respective cell fates. Key developmental regulators are intracellular transcriptional interactions and intercellular…

Biological Physics · Physics 2022-11-15 Simon Schardt , Sabine C. Fischer

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time…

Populations and Evolution · Quantitative Biology 2007-05-23 Debashish Chowdhury , Dietrich Stauffer

We develop an agent-based model of the motion and pattern formation of vesicles. These intracellular particles can be found in four different modes of (undirected and directed) motion and can fuse with other vesicles. While the size of…

Subcellular Processes · Quantitative Biology 2011-09-19 Mirko Birbaumer , Frank Schweitzer

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

Biological Physics · Physics 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet

Multiscale models allow for the treatment of complex phenomena involving different scales, such as remodeling and growth of tissues, muscular activation, and cardiac electrophysiology. Numerous numerical approaches have been developed to…

Numerical Analysis · Mathematics 2018-06-28 Marco Favino , Alessio Quaglino , Sonia Pozzi , Rolf Krause , Igor Pivkin

Composition is a powerful principle for systems biology, focused on the interfaces, interconnections, and orchestration of distributed processes to enable integrative multiscale simulations. Whereas traditional models focus on the structure…

Other Quantitative Biology · Quantitative Biology 2024-11-25 Eran Agmon

This chapter reviews the purpose and use of models from the field of complex systems and, in particular, the implications of trying to use models to understand or make decisions within complex situations, such as policy makers usually face.…

Multiagent Systems · Computer Science 2013-11-25 Bruce Edmonds , Carlos Gershenson

From interacting cellular components to networks of neurons and neural systems, interconnected units comprise a fundamental organizing principle of the nervous system. Understanding how their patterns of connections and interactions give…

Neurons and Cognition · Quantitative Biology 2018-08-01 Danielle S. Bassett , Perry Zurn , Joshua I. Gold

In this review, we discuss modularity and hierarchy in biological systems. We review examples from protein structure, genetics, and biological networks of modular partitioning of the geometry of biological space. We review theories to…

Populations and Evolution · Quantitative Biology 2015-06-04 Dirk M. Lorenz , Alice Jeng , Michael W. Deem