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In this paper we use a continuous model to describe the development of a single cell lineage following the committal of stem cells. Three separate controls are implemented in the model, namely the proliferative control of stem cells, the…

Tissues and Organs · Quantitative Biology 2007-05-23 Ivana Drobnjak , A. C. Fowler , Michael C. Mackey

The maintenance of the proliferative cell niche is critical to epithelial tissue morphology and function. In this paper we investigate how current modelling methods can result in the erroneous loss of proliferative cells from the…

Tissues and Organs · Quantitative Biology 2021-09-01 Claire Miller , Edmund Crampin , James Osborne

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

Cell polarity and movement are fundamental to many biological functions. Experimental and theoretically studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the…

Dynamical Systems · Mathematics 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo Li

A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai

Several orders of magnitude typically separate the contour length of eukaryotic chromosomes and the size of the nucleus where they are confined. The ensuing topological constraints can slow down the relaxation dynamics of genomic filaments…

Quantitative Methods · Quantitative Biology 2019-10-22 Angelo Rosa , Marco Di Stefano , Cristian Micheletti

In most biological studies and processes, cell proliferation and population dynamics play an essential role. Due to this ubiquity, a multitude of mathematical models has been developed to describe these processes. While the simplest models…

Populations and Evolution · Quantitative Biology 2012-02-23 J. Hasenauer , D. Schittler , F. Allgower

As an injury heals, an embryo develops, or a carcinoma spreads, epithelial cells systematically change their shape. In each of these processes cell shape is studied extensively, whereas variation of shape from cell-to-cell is dismissed most…

Although species longevity is subject to a diverse range of selective forces, the mortality curves of a wide variety of organisms are rather similar. We argue that aging and its universal characteristics may have evolved by means of a…

Populations and Evolution · Quantitative Biology 2013-02-01 Dervis Can Vural , Greg Morrison , L. Mahadevan

Cell neighbor exchanges play a critical role in regulating tissue fluidity during epithelial morphogenesis and repair. In vivo, these neighbor exchanges are often hindered by the formation of transiently stable four-fold vertices, which can…

Biological Physics · Physics 2023-10-17 Fernanda Pérez-Verdugo , Shiladitya Banerjee

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

We study the dynamics of a thick polar epithelium subjected to the action of both an electric and a flow field in a planar geometry. We develop a generalized continuum hydrodynamic description and describe the tissue as a two component…

Cell Behavior · Quantitative Biology 2018-11-12 Niladri Sarkar , Jacques Prost , Frank Jülicher

Localized growth in driven materials is often governed by intermittent failure, yet how a material's history biases failure sites remains poorly understood. Using pause-restart experiments on chemical precipitate membranes, we quantify the…

Pattern Formation and Solitons · Physics 2026-02-10 Amari Morris , Oliver Steinbock

Stem cell regeneration is a crucial biological process for most self-renewing tissues during the development and maintenance of tissue homeostasis. In developing the mathematical models of stem cell regeneration and tissue development, cell…

Quantitative Methods · Quantitative Biology 2024-01-17 Jinzhi Lei

Stem cell heterogeneity is essential for the homeostasis in tissue development. This paper established a general formulation for understanding the dynamics of stem cell regeneration with cell heterogeneity and random transitions of…

Populations and Evolution · Quantitative Biology 2024-07-12 Jinzhi Lei

Faithful segregation of genetic material during cell division requires alignment of chromosomes between two spindle poles and attachment of their kinetochores to each of the poles. Failure of these complex dynamical processes leads to…

Biological Physics · Physics 2015-12-08 Zsolt Bertalan , Zoe Budrikis , Caterina A. M. La Porta , Stefano Zapperi

This paper presents an interesting experimental example of voter-model statistics in biology. In recent work on mouse tail-skin, where proliferating cells are confined to a two-dimensional layer, we showed that cells proliferate and…

Biological Physics · Physics 2009-11-13 Allon M. Klein , David P. Doupe , Philip H. Jones , Benjamin D. Simons

We construct a model of cell reprogramming (the conversion of fully differentiated cells to a state of pluripotency, known as induced pluripotent stem cells, or iPSCs) which builds on key elements of cell biology viz. cell cycles and cell…

Cell Behavior · Quantitative Biology 2017-09-25 R Hannam , A Annibale , R Kuehn

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

The stability of the boundary between regenerating tissues is essential to the maintenance of their integrity and biological function. Stress is known to play an important role in the regulation of cell division, cell growth and cell death,…

Biological Physics · Physics 2024-11-20 Luis Gómez-Nava , Djamel Chekroun , Ioan Ionescu , Marc Durand