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Understanding to what extent stem cell potential is a cell-intrinsic property, or an emergent behavior coming from global tissue dynamics and geometry, is a key outstanding question of systems and stem cell biology. Here, we propose a…

Cells coexist together in colonies or as tissues. Their behaviour is controlled by an interplay between intercellular forces and biochemical regulation. We develop a simple model of the cell cycle, the fundamental regulatory network…

Biological Physics · Physics 2021-08-04 Jintao Li , Simon K. Schnyder , Matthew S. Turner , Ryoichi Yamamoto

We study the statistical properties of melanoma cell colonies grown in vitro by analyzing the results of crystal violet assays at different concentrations of initial plated cells and for different growth times. The distribution of colony…

We consider the problem of estimating the division rate of a size-structured population in a nonparametric setting. The size of the system evolves according to a transport-fragmentation equation: each individual grows with a given transport…

Statistics Theory · Mathematics 2013-01-21 Marie Doumic Jauffret , Marc Hoffmann , Patricia Reynaud-Bouret , Vincent Rivoirard

We present a geometric framework to study the growth-division dynamics of cells and protocells, and demonstrate that self-reproduction emerges only when a system's growth dynamics and division strategy are mutually compatible. Using several…

Adaptation and Self-Organizing Systems · Physics 2025-11-21 Parth Pratim Pandey , Sanjay Jain

It is argued that the present log-normal distribution of language sizes is, to a large extent, a consequence of demographic dynamics within the population of speakers of each language. A two-parameter stochastic multiplicative process is…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Damian H. Zanette

Mechanical stresses stemming from environmental factors are a key determinant of cellular behavior and physiology. Yet, the role of self-induced biomechanical stresses in growing bacterial colonies has remained largely unexplored. Here, we…

Soft Condensed Matter · Physics 2023-11-27 René Wittmann , G. H. Philipp Nguyen , Hartmut Löwen , Fabian J. Schwarzendahl , Anupam Sengupta

Understanding how growth induces form is a longstanding biological question. Many studies concentrated on the shapes of plant cells, fungi or bacteria. Some others have shown the importance of the mechanical properties of bacterial walls…

Biological Physics · Physics 2007-05-23 Arezki Boudaoud

Stochastic simulation can make the molecular processes of cellular control more vivid than the traditional differential-equation approach by generating typical system histories instead of just statistical measures such as the mean and…

Subcellular Processes · Quantitative Biology 2018-09-18 Kevin Y. Chen , Daniel M. Zuckerman , Philip C. Nelson

Stem cells are characterized by their ability to self-renew, as well as to differentiate and give rise to new populations of cells. Stem cell divisions are crucial for generative processes that occur during early development, and later in…

Applications · Statistics 2025-08-29 Haim Bar , Huyen Nguyen , Joanne Conover

Asymmetric damage segregation (ADS) is ubiquitous among unicellular organisms: After a mother cell divides, its two daughter cells receive sometimes slightly, sometimes strongly different fractions of damaged proteins accumulated in the…

Populations and Evolution · Quantitative Biology 2023-02-17 Arkady Pikovsky , Lev S. Tsimring

Population-based evolutionary algorithms (EAs) have been widely applied to solve various optimization problems. The question of how the performance of a population-based EA depends on the population size arises naturally. The performance of…

Neural and Evolutionary Computing · Computer Science 2013-05-13 Jun He , Tianshi Chen , Boris Mitavskiy

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

We introduce and theoretically investigate a minimal particle-based model for a new class of active matter where particles exhibit directional, volume-conserving division in confinement while interacting sterically, mimicking cells in early…

Soft Condensed Matter · Physics 2024-10-01 Samantha R. Lish , Lukas Hupe , Ramin Golestanian , Philip Bittihn

We present an algorithm for the stochastic simulation of gene expression and heterogeneous population dynamics. The algorithm combines an exact method to simulate molecular-level fluctuations in single cells and a constant-number Monte…

Computational Physics · Physics 2016-08-24 Daniel A. Charlebois , Jukka Intosalmi , Dawn Fraser , Mads Kaern

Spatial constraints such as rigid barriers affect the dynamics of cell populations, potentially altering the course of natural evolution. In this paper, we investigate the population genetics of Escherichia coli proliferating in…

Populations and Evolution · Quantitative Biology 2022-03-28 Anzhelika Koldaeva , Hsieh-Fu Tsai , Amy Q. Shen , Simone Pigolotti

We consider a size-structured population describing the cell divisions. The cell population is described by an empirical measure and we observe the divisions in the continuous time interval [0, T ]. We address here the problem of estimating…

Statistics Theory · Mathematics 2016-05-20 Van Ha Hoang

Bacterial growth and division generally occur by the process known as binary fission, in which the cells grow polarly until they divide into two daughter cells. Although this process is affected by factors that introduce stochastic…

Soft Condensed Matter · Physics 2022-10-05 Andrés Delgado-Campos , Alejandro Cuetos

Protein concentration in a living cell fluctuates over time due to noise in growth and division processes. From extensive single-cell experiments by using E. coli strains with different promoter strength (over two orders of magnitude) and…

Biological Physics · Physics 2021-04-19 Alberto Stefano Sassi , Mayra Garcia-Alcala , Philippe Cluzel , Yuhai Tu

Observation of phenotypic diversity in a population of genetically identical cells is often linked to the stochastic nature of chemical reactions involved in gene regulatory networks. We investigate the distribution of population averaged…

Molecular Networks · Quantitative Biology 2015-06-18 Bhaswati Bhattacharyya , Ziya Kalay