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The development of multicellular organisms proceeds through a series of morphogenetic and cell-state transitions, transforming homogeneous zygotes into complex adults by a process of self-organization. Many of these transitions are achieved…

Tissues and Organs · Quantitative Biology 2020-07-08 Jake Cornwall Scoones , Deb Sankar Banerjee , Shiladitya Banerjee

Physically motivated stochastic dynamics are often used to sample from high-dimensional distributions. However such dynamics often get stuck in specific regions of their state space and mix very slowly to the desired stationary state. This…

Machine Learning · Statistics 2025-05-13 Abhijith Jayakumar , Andrey Y. Lokhov , Sidhant Misra , Marc Vuffray

This is the first report, to our knowledge, on a systematic method for constructing a large scale kinetic metabolic model with incomplete information on kinetic parametersr, and its initial application to the modeling of central metabolism…

Molecular Networks · Quantitative Biology 2008-08-05 P. Ao , L. W. Lee , Me Lidstrom , L. Yin , X. M. Zhu

In many biological processes heterogeneity within cell populations is an important issue. In this work we consider populations where the behavior of every single cell can be described by a system of ordinary differential equations.…

Molecular Networks · Quantitative Biology 2010-02-25 J. Hasenauer , S. Waldherr , M. Doszczak , P. Scheurich , F. Allgower

A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written as a coupled Partial Differential Equation/Ordinary…

Analysis of PDEs · Mathematics 2022-09-02 Pierre-Emmanuel Jabin , Benoît Perthame

Dormancy is an essential strategy for microorganisms to cope with environmental stress. However, global ecosystem models typically ignore microbial dormancy, resulting in major model uncertainties. To facilitate the consideration of…

Quantitative Methods · Quantitative Biology 2014-02-20 Gangsheng Wang , Melanie A. Mayes , Lianhong Gu , Christopher W. Schadt

We analyze a simple model of deterministic diffusion. The model consists of a one-dimensional periodic array of scatterers in which point particles move from cell to cell as defined by a piecewise linear map. The microscopic chaotic…

chao-dyn · Physics 2009-10-31 R. Klages , J. R. Dorfman

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

Soft Condensed Matter · Physics 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

We study the robustness and stability of the yeast cell regulatory network by using a general inhomogeneous discrete model. We find that inhomogeneity, on average, enhances the stability of the biggest attractor of the dynamics and that the…

Molecular Networks · Quantitative Biology 2008-12-12 L. Wardil , J. K. L. da Silva

We have modeled the metabolic process running in aerobic cells as open nonlinear dissipative systems. The map of metabolic paths and the general scheme of a dissipative system participating in the transformation of steroids are constructed.…

Other Quantitative Biology · Quantitative Biology 2020-06-09 V. I. Grytsay , A. G. Medentsev , A. Yu. Arinbasarova

We consider a model for Darwinian evolution in an asexual population with a large but non-constant populations size characterized by a natural birth rate, a logistic death rate modelling competition and a probability of mutation at each…

Probability · Mathematics 2015-08-28 Martina Baar , Anton Bovier , Nicolas Champagnat

Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner.…

Populations and Evolution · Quantitative Biology 2011-12-20 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

Spatial metapopulation models are fundamental to theoretical ecology, enabling to study how landscape structure influences global species dynamics. Traditional models, including recent generalizations, often rely on the deterministic limit…

Populations and Evolution · Quantitative Biology 2025-06-24 Alice Doimo , Giorgio Nicoletti , Davide Bernardi , Prajwal Padmanabha

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

Bacteria and their bacteriophages are the most abundant, widespread and diverse groups of biological entities on the planet. In an attempt to understand how the interactions between bacteria, virulent phages and temperate phages might…

Populations and Evolution · Quantitative Biology 2009-11-13 Martin Rosvall , Ian B. Dodd , Sandeep Krishna , Kim Sneppen

We present a mathematical model describing the time development of a population of tumors subject to mutual angiogenic inhibitory signaling. Based on biophysical derivations, it describes organism-scale population dynamics under the…

Analysis of PDEs · Mathematics 2013-10-02 Sebastien Benzekry , Alberto Gandolfi , Philip Hahnfeldt

Heterogeneity within tumour cell populations is associated with an increase in malignancy and appears to play an important role during cancer metastasis. Using in silico experiments, we study the interplay between collective behaviours and…

Tissues and Organs · Quantitative Biology 2015-01-05 Adrien Hallou , Joel Jennings , Alexandre Kabla

We study a stochastic model of urban growth generating spatial distributions of population densities at an intermediate mesoscopic scale. The model is based on the antagonist interplay between the two opposite abstract processes of…

Physics and Society · Physics 2018-11-21 Juste Raimbault

Nutrient limitation is one of the most common triggers of antibiotic tolerance and persistence. Here, we present two microfluidic setups to study how spatial and temporal variation in nutrient availability lead to increased survival of…

Quantitative Methods · Quantitative Biology 2020-10-29 Stefany Moreno-Gámez , Alma Dal Co , Simon van Vliet , Martin Ackermann

Bacterial populations in natural conditions are expected to experience stochastic environmental fluctuations, and in addition, environments are affected by bacterial activities since they consume substrates and excrete various chemicals. We…

Populations and Evolution · Quantitative Biology 2020-04-01 Yusuke Himeoka , Namiko Mitarai
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