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We study time continuous branching processes with exponentially distributed lifetimes, with two types of cells that proliferate according to binary fission. A range of possible system dynamics are considered, each of which is characterized…

Probability · Mathematics 2022-04-27 Nam H Nguyen , Marek Kimmel

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

We propose a statistical model of a large random network with high connectivity in order to describe the behavior of {\it E.\,coli} cells after exposure to acute stress. The building blocks of this network are feedback cycles typical of the…

Disordered Systems and Neural Networks · Physics 2022-02-22 S. Reich , S. Maoz , Y. Kaplan , H. Rappeport , N. Q. Balaban , O. Agam

In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu

The cellular automaton model of Piegari, Di Maio, Scandone and Milano, J. Volc. Geoth. Res., 202, 22-28 (2011) is extended to include magma-induced stress (i.e. a local magma-related augmentation of the stress field). This constitutes a…

Geophysics · Physics 2017-08-23 Olivia J. Butters , Graeme R. Sarson , Paul J. Bushby

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

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

Cellular Automata and Lattice Gases · Physics 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

Effective wound repair treatments rely on a clear picture of how cell proliferation and migration are coordinated during tissue restoration. Fibroblasts are key contributors to tissue restoration in the dermis, and modern imaging tools…

Cell Behavior · Quantitative Biology 2026-03-03 Erik Blom , Qiyao Peng , Leah Pomfret , Richard Mort , Stefan Engblom

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

It is widely recognized that reciprocal interactions between cells and their microenvironment, via mechanical forces and biochemical signaling pathways, regulate cell behaviors during normal development, homeostasis and disease progression…

Biological Physics · Physics 2024-12-05 Nonthakorn Olaranont , Chaozhen Wei , John Lowengrub , Min Wu

Collective migration dominates many phenomena, from cell movement in living systems to abiotic self-propelling particles. Focusing on the early stages of tumor evolution, we enunciate the principles involved in cell dynamics and highlight…

Cell Behavior · Quantitative Biology 2018-05-02 Abdul N Malmi-Kakkada , Xin Li , Himadri S. Samanta , Sumit Sinha , D. Thirumalai

Replication through cell division is one of the most fundamental processes of life and a major driver of dynamics in systems ranging from bacterial colonies to embryogenesis, tissues and tumors. While regulation often plays a role in…

Soft Condensed Matter · Physics 2024-10-21 Lukas Hupe , Yoav G. Pollack , Jonas Isensee , Aboutaleb Amiri , Ramin Golestanian , Philip Bittihn

Maintenance and regeneration of adult tissues rely on the self-renewal of stem cells. Regeneration without over-proliferation requires precise regulation of the stem cell proliferation and differentiation rates. The nature of such…

Populations and Evolution · Quantitative Biology 2022-12-19 Rodrigo García-Tejera , Linus Schumacher , Ramon Grima

We investigate a model of cell division in which the length of telomeres within the cell regulate their proliferative potential. At each cell division the ends of linear chromosomes change and a cell becomes senescent when one or more of…

Cell Behavior · Quantitative Biology 2008-04-23 T. Antal , K. B. Blagoev , S. A. Trugman , S. Redner

The initiation of directional cell motion requires symmetry breaking that can happen both with or without external stimuli. During cell crawling, forces generated by the cytoskeleton and their transmission through mechanosensitive adhesions…

Cell Behavior · Quantitative Biology 2023-06-02 Yuzhu Chen , David Saintillan , Padmini Rangamani

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns

How are granular details of stochastic growth and division of individual cells reflected in smooth deterministic growth of population numbers? We provide an integrated, multiscale perspective of microbial growth dynamics by formulating a…

Uncovering the quantitative laws that govern the growth and division of single cells remains a major challenge. Using a unique combination of technologies that yields unprecedented statistical precision, we find that the sizes of individual…

Establishing a quantitative connection between the population growth rate and the generation times of single cells is a prerequisite for understanding evolutionary dynamics of microbes. However, existing theories fail to account for the…

Populations and Evolution · Quantitative Biology 2017-09-19 Jie Lin , Ariel Amir
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