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During organismal development, biochemical reaction networks sense and respond to mechanical forces to coordinate embryonic patterning with embryo morphogenesis. Factors such as cortical tension, cell density, and matrix mechanical…

Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissues. Understanding the dynamics of cell populations in the…

Applications · Statistics 2026-02-02 Huyen Nguyen , Haim Bar , Zhiyi Chi , Vladimir Pozdnyakov

Eukaryotic gene regulation is based on stochastic yet controlled promoter switching, during which genes transition between transcriptionally active and inactive states. Despite the molecular complexity of this process, recent studies reveal…

Molecular Networks · Quantitative Biology 2025-07-17 Benjamin Zoller , Alexis Bénichou , Thomas Gregor , Gašper Tkačik

During tissue development, patterns of gene expression determine the spatial arrangement of cell types. In many cases, gradients of secreted signaling molecules - morphogens - guide this process. The continuous positional information…

Molecular Networks · Quantitative Biology 2017-02-08 Ruben Perez-Carrasco , Pilar Guerrero , James Briscoe , Karen Page

Formulating quantitative and predictive models for tissue development requires consideration of the complex, stochastic gene expression dynamics, its regulation via cell-to-cell interactions, and cell proliferation. Including all of these…

Cell Behavior · Quantitative Biology 2026-05-12 Casey O. Barkan , Tom Chou

The intrinsic stochasticity of gene expression can lead to large variability of protein levels across a population of cells. Variability (or noise) in protein distributions can be modulated by cellular mechanisms of gene regulation; in…

Molecular Networks · Quantitative Biology 2011-03-02 Tao Jia , Rahul V. Kulkarni

The observation that phenotypic variability is ubiquitous in isogenic populations has led to a multitude of experimental and theoretical studies seeking to probe the causes and consequences of this variability. Whether it be in the context…

Populations and Evolution · Quantitative Biology 2022-02-18 Ethan Levien , Jiseon Min , Jane Kondev , Ariel Amir

We derive exact solutions of simplified models for the temporal evolution of the protein concentration within a cell population arbitrarily far from the stationary state. We show that monitoring the dynamics can assist in modeling and…

Biomolecules · Quantitative Biology 2015-05-13 Sandro Azaele , Jayanth R. Banavar , Amos Maritan

Gene expression is a central process to any form of life. It involves multiple temporal and functional scales that extend from specific protein-DNA interactions to the coordinated regulation of multiple genes in response to intracellular…

Molecular Networks · Quantitative Biology 2013-07-11 Jose M. G. Vilar , Leonor Saiz

It is becoming increasingly appreciated that the signal transduction systems used by eukaryotic cells to achieve a variety of essential responses represent highly complex networks rather than simple linear pathways. While significant effort…

Molecular Networks · Quantitative Biology 2009-11-10 Kevin S. Brown , Colin C. Hill , Guillermo A. Calero , Kelvin H. Lee , James P. Sethna , Richard A. Cerione

We investigate proteins within heterogeneous cell membranes where non-equilibrium phenomena arises from spatial variations in concentration and temperature. We develop simulation methods building on non-equilibrium statistical mechanics to…

Soft Condensed Matter · Physics 2025-08-28 D. Jasuja , P. J. Atzberger

According to recent experimental evidence, the architecture of a promoter, defined as the number, strength and regulatory role of the operators that control the promoter, plays a major role in determining the level of cell-to-cell…

Molecular Networks · Quantitative Biology 2015-05-19 Alvaro Sanchez , Hernan Garcia , Daniel Jones , Rob Phillips , Jane' Kondev

Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of…

Molecular Networks · Quantitative Biology 2007-05-23 Thimo Rohlf , Stefan Bornholdt

The fundamental biological processes of development of tissues and organs in multicellular organisms is governed by various signaling molecules, which are called morphogens. It is known that spatial and temporal variations in concentration…

Biological Physics · Physics 2015-04-07 Behnaz Bozorgui , Hamid Teimouri , Anatoly B. Kolomeisky

For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

Condensed Matter · Physics 2015-06-25 S. B. Goryachev

Stochastic oscillations in individual cells are usually characterized by a non-monotonic power spectrum with an oscillatory autocorrelation function. Here we develop an analytical approach of stochastic oscillations in a minimal hybrid…

Molecular Networks · Quantitative Biology 2024-02-08 Chen Jia , Hong Qian , Michael Q. Zhang

For the past few years, deep generative models have increasingly been used in biological research for a variety of tasks. Recently, they have proven to be valuable for uncovering subtle cell phenotypic differences that are not directly…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Anis Bourou , Thomas Boyer , Kévin Daupin , Véronique Dubreuil , Aurélie De Thonel , Valérie Mezger , Auguste Genovesio

Chromatin remodeling machineries are abundant and diverse in eukaryotic cells. They have been involved in a variety of situations such as histone exchange and DNA repair, but their importance in gene expression remains unclear. Although the…

Molecular Networks · Quantitative Biology 2015-09-25 Denis Michel

This paper introduces a continuous model for Multi-cellular Developmental Design. The cells are fixed on a 2D grid and exchange "chemicals" with their neighbors during the growth process. The quantity of chemicals that a cell produces, as…

Artificial Intelligence · Computer Science 2007-05-23 Alexandre Devert , Nicolas Bredèche , Marc Schoenauer

Through extensive studies of dynamical system modeling cellular growth and reproduction, we find evidence that complexity arises in multicellular organisms naturally through evolution. Without any elaborate control mechanism, these systems…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Chikara Furusawa , Kunihiko Kaneko