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We introduce and analyze several aspects of a new model for cell differentiation. It assumes that differentiation of progenitor cells is a continuous process. From the mathematical point of view, it is based on partial differential…

Analysis of PDEs · Mathematics 2013-01-21 Marie Doumic , Anna Marciniak-Czochra , Benoit Perthame , Jorge P. Zubelli

Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength of adhesion of one cell type to itself relative to other…

Quantitative Methods · Quantitative Biology 2023-08-02 Dhananjay Bhaskar , William Y. Zhang , Alexandria Volkening , Björn Sandstede , Ian Y. Wong

Can we quantify the change of complexity throughout evolutionary processes? We attempt to address this question through an empirical approach. In very general terms, we simulate two simple organisms on a computer that compete over limited…

Neural and Evolutionary Computing · Computer Science 2016-01-05 Alyssa Adams , Hector Zenil , Eduardo Hermo Reyes , Joost Joosten

Cell-cell adhesion is one the most fundamental mechanisms regulating collective cell migration during tissue development, homeostasis and repair, allowing cell populations to self-organize and eventually form and maintain complex tissue…

Cell Behavior · Quantitative Biology 2022-11-16 Carles Falcó , Ruth E. Baker , José A. Carrillo

To maintain homeostasis, living cells process information with networks of interacting molecules. Traditional models for cellular information processing have focused on networks of chemical reactions between molecules. Here, we describe how…

Biological Physics · Physics 2025-08-01 Arvind Murugan , David Zwicker , Charlotta Lorenz , Eric R. Dufresne

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

Developing reliable mechanisms for continuous local learning is a central challenge faced by biological and artificial systems. Yet, how the environmental factors and structural constraints on the learning network influence the optimal…

Neurons and Cognition · Quantitative Biology 2024-03-21 Emmanouil Giannakakis , Sina Khajehabdollahi , Anna Levina

The mechanism by which cells measure the dimension of the organ in which they are embedded, and slow down their growth when the final size is reached, is a long-standing problem of developmental biology. The role of mechanics in this…

Biological Physics · Physics 2023-07-19 Alexander Erlich , Pierre Recho

During development, cell fates are determined through a combination of intracellular transcriptional regulations and extracellular signaling. As a result, spatial patterns of different cell types arise. We investigate the decision between…

Cell Behavior · Quantitative Biology 2021-11-03 Simon Schardt , Sabine C. Fischer

During the morphogenesis of tissues and tumors, cells often interact with neighbors with different mechanical properties, but the understanding of its role is lacking. We use active Brownian Dynamics simulations to study a model co-culture…

Soft Condensed Matter · Physics 2021-01-07 Supravat Dey , Moumita Das

Structural changes in a network representation of a system (e.g.,different experimental conditions, time evolution), can provide insight on its organization, function and on how it responds to external perturbations. The deeper…

Data Analysis, Statistics and Probability · Physics 2021-01-04 Leonardo L. Portes , Michael Small

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…

Quantitative Methods · Quantitative Biology 2011-07-06 Christian Breindl , Daniella Schittler , Steffen Waldherr , Frank Allgöwer

In vitro primary cultures of dissociated invertebrate neurons from locust ganglia are used to experimentally investigate the morphological evolution of assemblies of living neurons, as they self-organize from collections of separated cells…

Adaptation and Self-Organizing Systems · Physics 2014-02-14 Daniel de Santos-Sierra , Irene Sendiña-Nadal , Inmaculada Leyva , Juan A. Almendral , Sarit Anava , Amir Ayali , David Papo , Stefano Boccaletti

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson

The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes…

Biological Physics · Physics 2015-09-30 Sham Tlili , Cyprien Gay , Francois Graner , Philippe Marcq , François Molino , Pierre Saramito

In order to grow in any given environment, bacteria need to collect information about the medium composition and implement suitable growth strategies by adjusting their regulatory and metabolic degrees of freedom. In the standard sense,…

Biological Physics · Physics 2023-03-22 Anna Paola Muntoni , Andrea De Martino

How do mammalian cells that share the same genome exist in notably distinct phenotypes, exhibiting differences in morphology, gene expression patterns, and epigenetic chromatin statuses? Furthermore how do cells of different phenotypes…

Molecular Networks · Quantitative Biology 2014-04-29 Ping Wang , Chaoming Song , Hang Zhang , Zhanghan Wu , Jianhua Xing

The multifarious internal workings of organisms are difficult to reconcile with a single feature defining a state of being alive. Indeed, definitions of life rely on emergent properties (growth, capacity to evolve, agency) only symptomatic…

Other Quantitative Biology · Quantitative Biology 2023-08-16 Simon Pierce

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

Quantitative Methods · Quantitative Biology 2007-05-23 T. J. Newman

During development, highly ordered structures emerge as cells collectively coordinate with each other. While recent advances have clarified how individual cells process and respond to external signals, understanding collective cellular…

Biological Physics · Physics 2026-02-05 Ashutosh Tripathi , Jörn Dunkel , Dominic J. Skinner
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