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Heterogeneity in physical and functional characteristics of cells (e.g. size, cycle time, growth rate, protein concentration) proliferates within an isogenic population due to stochasticity in intracellular biochemical processes and in the…

Cell Behavior · Quantitative Biology 2021-02-02 Harsh Vashistha , Maryam Kohram , Hanna Salman

Biological living systems in general exhibit complex and diverse dynamics. The latter, in particular, is essential, since diversification increases the odds of survival of an organism while reducing the risk of extinction of the population.…

Probability · Mathematics 2022-08-19 Sandesh Athni Hiremath

Gene transcription is a highly stochastic and dynamic process. As a result, the mRNA copy number of a given gene is heterogeneous both between cells and across time. We present a framework to model gene transcription in populations of cells…

Quantitative Methods · Quantitative Biology 2017-01-10 Justine Dattani , Mauricio Barahona

We introduce a minimal multiscale framework that links within-host virus dynamics to population-level SIRS epidemiology through explicit, bidirectional coupling. At the microscopic layer, a two variant quasispecies (master and mutant…

Dynamical Systems · Mathematics 2026-01-28 Juan C. Muñoz-Sánchez , J. Tomás Lázaro , Josep Sardanyés , Santiago F. Elena

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

Probability · Mathematics 2026-05-20 Eliana Fausti , Andreas Sojmark

An essential feature of the adaptive immune system is the proliferation of antigen-specific lymphocytes during an immune reaction to form a large pool of effector cells. This proliferation must be regulated to ensure an effective response…

Populations and Evolution · Quantitative Biology 2021-01-06 Andreas Mayer , Yaojun Zhang , Alan S. Perelson , Ned S. Wingreen

Phenotype variations define heterogeneity of biological and molecular systems, which play a crucial role in several mechanisms. Heterogeneity has been demonstrated in tumor cells. Here, samples from blood of patients affected from colon…

Biological Physics · Physics 2015-11-09 Giuseppina Simone

In this work we adopt a statistical mechanics approach to investigate basic, systemic features exhibited by adaptive immune systems. The lymphocyte network made by B-cells and T-cells is modeled by a bipartite spin-glass, where, following…

Cell Behavior · Quantitative Biology 2015-06-04 Elena Agliari , Adriano Barra , Silvia Bartolucci , Andrea Galluzzi , Francesco Guerra , Francesco Moauro

Antigenic escape constitutes the main mechanism allowing rapidly evolving viruses to achieve endemicity. Beyond granting immune escape, empirical evidence also suggests that mutations of viruses might increase their inter-host…

Populations and Evolution · Quantitative Biology 2025-11-20 David Soriano-Paños

The antibody repertoire of each individual is continuously updated by the evolutionary process of B cell receptor mutation and selection. It has recently become possible to gain detailed information concerning this process through…

Populations and Evolution · Quantitative Biology 2015-05-11 Connor O. McCoy , Trevor Bedford , Vladimir N. Minin , Philip Bradley , Harlan Robins , Frederick A. Matsen

Bacteria and archaea have evolved an adaptive, heritable immune system that recognizes and protects against viruses or plasmids. This system, known as the CRISPR-Cas system, allows the host to recognize and incorporate short foreign DNA or…

Populations and Evolution · Quantitative Biology 2014-01-21 Pu Han , Liang Ren Niestemski , Jeffrey E. Barrick , Michael W. Deem

A two-species spatially extended system of hosts and parasitoids is studied. There are two distinct kinds of coexistence; one with populations distributed homogeneously in space and another one with spatiotemporal patterns. In the latter…

Populations and Evolution · Quantitative Biology 2009-02-19 Matti Peltomaki , Martin Rost , Mikko Alava

There is a pressing need to better understand how microbial populations respond to antimicrobial drugs, and to find mechanisms to possibly eradicate antimicrobial-resistant cells. The inactivation of antimicrobials by resistant microbes can…

Populations and Evolution · Quantitative Biology 2023-11-16 Lluís Hernández-Navarro , Matthew Asker , Alastair M. Rucklidge , Mauro Mobilia

The migratory dynamics of cells in physiological processes, ranging from wound healing to cancer metastasis, rely on contact-mediated cell-cell interactions. These interactions play a key role in shaping the stochastic trajectories of…

We analyze evolutionary dynamics in a confluent, branching cellular population, such as in a growing duct, vasculature, or in a branching microbial colony. We focus on the coarse-grained features of the evolution and build a statistical…

Populations and Evolution · Quantitative Biology 2022-02-15 Adam S. Bryant , Maxim O. Lavrentovich

The cellular phenotype is described by a complex network of molecular interactions. Elucidating network properties that distinguish disease from the healthy cellular state is therefore of critical importance for gaining systems-level…

Molecular Networks · Quantitative Biology 2012-11-22 James West , Ginestra Bianconi , Simone Severini , Andrew Teschendorff

In this paper we introduce a class of stochastic population models based on "patch dynamics". The size of the patch may be varied, and this allows one to quantify the departures of these stochastic models from various mean field theories,…

Populations and Evolution · Quantitative Biology 2009-11-11 A. J. McKane , T. J. Newman

Understanding and modelling the complexity of the immune system is a challenge that is shared by the ImmunoComplexiT$^1$ thematic network from the RNSC. The immune system is a complex biological, adaptive, highly diversified, self-organized…

Quantitative Methods · Quantitative Biology 2020-08-27 Véronique Thomas-Vaslin

I present three models of plant--pathogen interactions. The models are stochastic and spatially explicit at the scale of individual plants. For each model, I use a version of pair approximation or moment closure along with a separation of…

Numerical Analysis · Mathematics 2025-10-20 David H. Brown

Biological organisms have evolved a wide range of immune mechanisms to defend themselves against pathogens. Beyond molecular details, these mechanisms differ in how protection is acquired, processed and passed on to subsequent generations…

Populations and Evolution · Quantitative Biology 2016-12-26 Andreas Mayer , Thierry Mora , Olivier Rivoire , Aleksandra M. Walczak