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Cell-to-cell variations in protein abundance in clonal cell populations are ubiquitous in living systems. Since protein composition determines responses in individual cells, it stands to reason that the variations themselves are subject to…

Cell Behavior · Quantitative Biology 2013-11-01 Sayak Mukherjee , Sang-Cheol Seok , Veronica J. Vieland , Jayajit Das

Individual cells exhibit specific proliferative responses to changes in microenvironmental conditions. Whether such potential is constrained by the cell density throughout the growth process is however unclear. Here, we identify a…

Living cells maintain size homeostasis by actively compensating for size fluctuations. Here, we present two stochastic maps that unify phenomenological models by integrating fluctuating single-cell growth rates and size-dependent noise…

Populations and Evolution · Quantitative Biology 2026-01-09 Arthur Genthon , Philipp Thomas

Living systems operate far from thermal equilibrium by converting the chemical potential of ATP into mechanical work to achieve growth, replication or locomotion. Given time series observations of intra-, inter- or multicellular processes,…

Biological Physics · Physics 2021-11-03 Dominic J. Skinner , Jörn Dunkel

This paper addresses the problem of steering the distribution of the state of a discrete-time linear system to a given target distribution while minimizing an entropy-regularized cost functional. This problem is called a maximum entropy…

Optimization and Control · Mathematics 2024-12-30 Kaito Ito , Kenji Kashima

Two powerful and complementary experimental approaches are commonly used to study the cell cycle and cell biology: One class of experiments characterizes the statistics (or demographics) of an unsynchronized exponentially-growing…

Biological Physics · Physics 2022-02-02 Dean Huang , Teresa Lo , Houra Merrikh , Paul A. Wiggins

The emergence of a predominant phenotype within a cell population is often triggered by a rare accumulation of DNA mutations in a single cell. For example, tumors may be initiated by a single cell in which multiple mutations cooperate to…

Tissues and Organs · Quantitative Biology 2018-11-21 Philip Greulich , Benjamin D. Simons

Investigating the emergence of a particular cell type is a recurring theme in models of growing cellular populations. The evolution of resistance to therapy is a classic example. Common questions are: when does the cell type first occur,…

Populations and Evolution · Quantitative Biology 2019-06-19 Michael D. Nicholson , Tibor Antal

Research on the birth and evolution of life are reviewed with reference to the maximum entropy production principle (MEPP). It has been shown that this principle is essential for consistent understanding of the birth and evolution of life.…

Biological Physics · Physics 2025-04-22 Yasuji Sawada , Yasukazu Daigaku , Kenji Toma

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

A major goal of modern computational biology is to simulate the collective behaviour of large cell populations starting from the intricate web of molecular interactions occurring at the microscopic level. In this paper we describe a…

Biological Physics · Physics 2007-05-23 Roberto Chignola , Edoardo Milotti

The past few decades have seen great leaps in technologies to analyze cells and tissues. Omics methods in particular now allow us unprecedented access to their the molecular composition where the base-level resolution of transcripts and…

Other Quantitative Biology · Quantitative Biology 2022-12-20 Ashika-Sita Jayanthy

We consider a free boundary problem for a system of PDEs, modeling the growth of a biological tissue. A morphogen, controlling volume growth, is produced by specific cells and then diffused and absorbed throughout the domain. The geometric…

Analysis of PDEs · Mathematics 2017-11-22 Alberto Bressan , Marta Lewicka

Experiments in recent years have vividly demonstrated that gene expression can be highly stochastic. How protein concentration fluctuations affect the growth rate of a population of cells, is, however, a wide open question. We present a…

Molecular Networks · Quantitative Biology 2015-05-13 Sorin Tanase-Nicola , Pieter Rein ten Wolde

Cells achieve size homeostasis by regulating their division timing based on their size, added size, and cell cycle time. Previous research under steady-state conditions demonstrated the robustness of these mechanisms. However, their dynamic…

Quantitative Methods · Quantitative Biology 2025-12-01 Cesar Nieto , Sayeh Rezaee , Cesar Augusto Vargas-Garcia , Abhyudai Singh

Metabolism and evolution are closely connected: if a mutation incurs extra energetic costs for an organism, there is a baseline selective disadvantage that may or may not be compensated for by other adaptive effects. A long-standing, but to…

Populations and Evolution · Quantitative Biology 2019-06-19 Efe Ilker , Michael Hinczewski

We analyze the advantage of cell size control strategies in growing populations under mortality constraints. We demonstrate a general advantage of the adder control strategy in the presence of growth-dependent mortality, and for different…

Biological Physics · Physics 2023-03-15 Spencer Hobson-Gutierrez , Edo Kussell

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

In most data-scientific approaches, the principle of Maximum Entropy (MaxEnt) is used to a posteriori justify some parametric model which has been already chosen based on experience, prior knowledge or computational simplicity. In a…

Methodology · Statistics 2022-06-29 Orestis Loukas , Ho Ryun Chung

One of the most fundamental rules in metabolic ecology is the allometric equation, which is a power-law scaling that describes the connection between body measurements and body size. The biological dynamics of this essentially empirical…

Other Quantitative Biology · Quantitative Biology 2024-05-14 Jia-Xu Han , Zhuangdong Bai , Rui-Wu Wang