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We describe the evolution of the quantity of parasites in a population of cells which divide in continuous-time. The quantity of parasites in a cell follows a Feller diffusion, which is splitted randomly between the two daughter cells when…

Populations and Evolution · Quantitative Biology 2011-01-18 Vincent Bansaye , Viet Chi Tran

Through in-depth thinking and reasoning about the conditions required for cells to maintain unchanged material distribution, it is concluded that life metabolic reactions require high information content. However, the self-replication of a…

Biological Physics · Physics 2024-08-27 Cheng Bi

Fractional killing in response to drugs is a hallmark of non-genetic cellular heterogeneity. Yet how individual lineages evade drug treatment, as observed in bacteria and cancer cells, is not quantitatively understood. We analyse a…

Populations and Evolution · Quantitative Biology 2024-09-25 Francesco Puccioni , Johannes Pausch , Paul Piho , Philipp Thomas

Some microbial organisms are known to randomly slip into and out of hibernation, irrespective of environmental conditions [1]. In a (genetically) uniform population a typically very small subpopulation becomes metabolically inactive whereas…

Other Quantitative Biology · Quantitative Biology 2010-07-13 Ole Steuernagel , Daniel Polani

Persistence phenomena in colonization processes could explain the negative results of SETI search preserving the possibility of a galactic civilization. However, persistence phenomena also indicates that search of technological…

Disordered Systems and Neural Networks · Physics 2007-05-23 Osame Kinouchi

The evolution of antimicrobial resistance generally occurs in an environment where antimicrobial concentration is variable, which has dramatic consequences on the microorganisms' fitness landscape, and thus on the evolution of resistance.…

Biological Physics · Physics 2018-10-23 Loïc Marrec , Anne-Florence Bitbol

Many types of bacteria can survive under stress by switching stochastically between two different phenotypes: the "normals" who multiply fast, but are vulnerable to stress, and the "persisters" who hardly multiply, but are resilient to…

Populations and Evolution · Quantitative Biology 2011-11-10 Ingo Lohmar , Baruch Meerson

Antimicrobial protocols - using substances such as antibiotics or disinfectants - remain the preferred option for preventing the spread of pathogenic bacteria. However, bacteria can develop mechanisms to reduce their antimicrobial…

Populations and Evolution · Quantitative Biology 2026-02-17 Nerea Martínez-López , Niclas Nordholt , Frank Schreiber , Míriam R. García

The cell cycle duration is a variable cellular phenotype that underlies long-term population growth and age structures. By analyzing the stationary solutions of a branching process with heritable cell division times, we demonstrate…

Populations and Evolution · Quantitative Biology 2021-01-04 Takashi Nozoe , Edo Kussell

Whether evolution can be predicted is a key question in evolutionary biology. Here we set out to better understand the repeatability of evolution. We explored experimentally the effect of mutation supply and the strength of selective…

Populations and Evolution · Quantitative Biology 2017-09-13 Thomas van Dijk , Sungmin Hwang , Joachim Krug , J. Arjan G. M. de Visser , Mark P. Zwart

How cells maintain a stable size has fascinated scientists since the beginning of modern biology, but has remained largely mysterious. Recently, however, the ability to analyze single bacteria in real time has provided new, important…

Cell Behavior · Quantitative Biology 2015-04-02 Suckjoon Jun , Sattar Taheri-Araghi

Cells maintain a stable size as they grow and divide. Inspired by the available experimental data, most proposed models for size homeostasis assume size control mechanisms that act on a timescale of one generation. Such mechanisms lead to…

Biological Physics · Physics 2023-05-25 Motasem ElGamel , Harsh Vashistha , Hanna Salman , Andrew Mugler

The storage effect is a well-known explanation for coexistence in temporally varying environments. Like many complex ecological theories, the storage effect is often used as an explanation for observed coexistence on the basis of heuristic…

Populations and Evolution · Quantitative Biology 2023-01-13 Evan C. Johnson , Oscar Godoy , Alan Hastings

It is generally recognized that a distinguishing feature of life is its peculiar capability to avoid equilibration. The origin of this capability and its evolution along the timeline of abiogenesis is not yet understood. We propose to study…

Molecular Networks · Quantitative Biology 2016-10-13 Dmitry Yu. Zubarev , Leonardo A. Pachón

The evolution of multicellularity was a major transition in the history of life on earth. Conditions under which multicellularity is favored have been studied theoretically and experimentally. But since the construction of a multicellular…

Populations and Evolution · Quantitative Biology 2018-03-19 Jason Olejarz , Kamran Kaveh , Carl Veller , Martin A. Nowak

Biofilm infections on medical implants are difficult to eradicate because insufficient nutrient availability promotes antibiotic-tolerant persister cells that survive treatment and reseed growth. Existing mathematical models usually omit…

Populations and Evolution · Quantitative Biology 2025-09-23 Parna Mandal , Nigel J. Mottram , Sean McGinty

We model an enclosed system of bacteria, whose motility-induced phase separation is coupled to slow population dynamics. Without noise, the system shows both static phase separation and a limit cycle, in which a rising global population…

Statistical Mechanics · Physics 2017-11-08 Tobias Grafke , Michael E. Cates , Eric Vanden-Eijnden

Cellular senescence is thought to play a major role in age-related diseases, which cause nearly 67% of all human deaths worldwide. Recent research in mice showed that exercising mice had higher levels of telomerase, an enzyme that helps…

Populations and Evolution · Quantitative Biology 2013-11-13 Avikar Periwal

A bacterial colony may develop a small number of cells genetically identical to, but phenotypically different from other normally growing bacteria. These so-called persister cells keep themselves in a dormant state and thus are insensitive…

Molecular Networks · Quantitative Biology 2010-02-11 Yan Fu , Meng Zhu , Jianhua Xing

We consider a system of nonlinear partial differential equations that describes an age-structured population living in changing environment on $N$ patches. We prove existence and uniqueness of solution and analyze large time behavior of the…

Dynamical Systems · Mathematics 2016-08-17 Vladimir Kozlov , Sonja Radosavljevic , Vladimir G. Tkachev , Uno Wennergren