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Phenotypic heterogeneity is a most fascinating property of a population of cells, which shows the differences among individuals even with the same genetic background and extracellular environmental conditions. However, the lack of…

Quantitative Methods · Quantitative Biology 2020-10-08 Huibao Feng , Chong Zhang

We present some existence results for three-dimensional quasistatic morphoelasticity. The state of the growing body is described by its deformation and the underlying growth tensor and is ruled by the interplay of hyperelastic energy…

Analysis of PDEs · Mathematics 2021-11-23 Elisa Davoli , Katerina Nik , Ulisse Stefanelli

Stochastic phenotype switching has been suggested to play a beneficial role in microbial populations by leading to the division of labour among cells, or ensuring that at least some of the population survives an unexpected change in…

Populations and Evolution · Quantitative Biology 2016-02-02 Andrew C. Tadrowski , Martin R. Evans , Bartlomiej Waclaw

One of the aims of systems biology is to build multiple layered and multiple scale models of living systems which can efficiently describe phenomena occurring at various level of resolution. Such models should consist of layers of various…

Dynamical Systems · Mathematics 2015-03-03 Jacek Banasiak , Aleksandra Falkiewicz , Proscovia Namayanja

Systems Biology is a fundamental field and paradigm that introduces a new era in Biology. The crux of its functionality and usefulness relies on metabolic networks that model the reactions occurring inside an organism and provide the means…

Quantitative Methods · Quantitative Biology 2022-06-03 Apostolos Chalkis , Vissarion Fisikopoulos , Elias Tsigaridas , Haris Zafeiropoulos

Thermodynamics constrains the flow of matter in a reaction network to occur through routes along which the Gibbs energy decreases, implying that viable steady-state flux patterns should be void of closed reaction cycles. Identifying and…

Molecular Networks · Quantitative Biology 2013-10-15 Daniele De Martino , Fabrizio Capuani , Matteo Mori , Andrea De Martino , Enzo Marinari

In this work maximum entropy distributions in the space of steady states of metabolic networks are defined upon constraining the first and second moment of the growth rate. Inherent bistability of fast and slow phenotypes, akin to a Van-Der…

Molecular Networks · Quantitative Biology 2017-12-27 Daniele De Martino

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

Populations and Evolution · Quantitative Biology 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

Recent methods have been developed to map single-cell lineage statistics to population growth. Because population growth selects for exponentially rare phenotypes, these methods inherently depend on sampling large deviations from finite…

Statistical Mechanics · Physics 2025-01-16 Trevor GrandPre , Ethan Levien , Ariel Amir

How does growth encode form in developing organisms? Many different spatiotemporal growth profiles may sculpt tissues into the same target 3D shapes, but only specific growth patterns are observed in animal and plant development. In…

Soft Condensed Matter · Physics 2023-02-16 Dillon J. Cislo , Anastasios Pavlopoulos , Boris I. Shraiman

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

Physiological whole-body models are valuable tools for the development of novel drugs where understanding the system aspects is important. This paper presents a generalized model that encapsulates the structure and flow of whole-body human…

Quantitative Methods · Quantitative Biology 2024-04-23 Laura Hjort Blicher , Peter Emil Carstensen , Jacob Bendsen , Henrik Linden , Bjørn Hald , Kim Kristensen , John Bagterp Jørgensen

Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

Many biological systems evolve through continuous local dynamics while switching between latent regimes defined by learning, stimulus context, internal state, or developmental stage. These processes are often observed only as unpaired…

Machine Learning · Computer Science 2026-05-12 Josue Ortega Caro , Yongxu Zhang , Hannah M Batchelor , Sizhuang He , Jessica Cardin , Shreya Saxena

In this work we propose a novel algorithmic strategy that allows for an efficient characterization of the whole set of stable fluxes compatible with the metabolic constraints. The algorithm, based on the well-known Bethe approximation,…

Disordered Systems and Neural Networks · Physics 2010-04-02 Alfredo Braunstein , Roberto Mulet , Andrea Pagnani

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

Cell migration is crucial to many physiological and pathological processes. During migration, a cell adapts its morphology, including the overall morphology and nucleus morphology, in response to various cues in complex microenvironments,…

Biological Physics · Physics 2023-08-28 Yanping Liu , Yang Jiao , Qihui Fan , Xinwei Li , Zhichao Liu , Jun Hu , Jianwei Shuai , Liyu Liu , Zhangyong Li

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a…

Populations and Evolution · Quantitative Biology 2025-07-02 Alexander P Browning , Sara Hamis

The ocean is filled with phytoplankton that contribute as much photosynthesis as all land plants combined, making them vital to the carbon cycle and climate system. Recent advances in flow cytometry allow oceanographers to measure the…

Methodology · Statistics 2026-03-09 Yik Lun Kei , Qi Wang , Paul Parker , Francois Ribalet , Sangwon Hyun

The explosion of data throughout the biomedical sciences provides unprecedented opportunities to learn about the dynamics of evolution and disease progression, but harnessing these large and diverse datasets remains challenging. Here, we…

Quantitative Methods · Quantitative Biology 2019-12-03 Sam F. Greenbury , Mauricio Barahona , Iain G. Johnston
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