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The phenomenon of cell sorting/segregation, by which cells organise spatially into clusters of specific cell type or function, is essential for tissue morphogenesis. This self-organization process involves an interplay between mechanical,…

Biological Physics · Physics 2025-03-19 Marius Bothe , Eloise Lardet , Alexei Poliakov , Gunnar Pruessner , Thibault Bertrand , Ignacio Bordeu

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

The importance of individual cells in a developing multicellular organism is well known but precisely how the individual cellular characteristics of those cells collectively drive the emergence of robust, homeostatic structures is less well…

Tissues and Organs · Quantitative Biology 2017-02-20 Philip Gerlee , David Basanta , Alexander R. A. Anderson

Embryonic tissues deform across broad spatial and temporal scales and relax stress through active rearrangements. A quantitative link between cell-scale activity, spatial forcing, and emergent tissue-scale mechanics remains incomplete.…

Biological Physics · Physics 2025-12-18 Sahil Islam , Mohd. Suhail Rizvi , Anupam Gupta

Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling gene expression in embryos. Such systems, generally described…

Dynamical Systems · Mathematics 2023-05-10 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

Precise temporal coordination of gene expression is crucial for many developmental processes. One central question in developmental biology is how such coordinated expression patterns are robustly controlled. During embryonic development of…

Molecular Networks · Quantitative Biology 2015-05-14 Akihiko Nakajima , Takako Isshiki , Kunihiko Kaneko , Shuji Ishihara

MicroRNAs are extensively known for post-transcriptional gene regulation and pattern formation in the embryonic developmental stage. We explore the origin of these spatio-temporal patterns mathematically, considering three different motifs…

Quantitative Methods · Quantitative Biology 2023-07-19 Priya Chakraborty , Sayantari Ghosh

The concentration gradient of the Bicoid morphogen, which is established during the early stages of a Drosophila melanogaster embryonic development, determines the differential spatial patterns of gene expression and subsequent cell fate…

Multiagent Systems · Computer Science 2014-12-18 Mariam Kiran , Wei Liu

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

Populations and Evolution · Quantitative Biology 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

Non-genetic heterogeneity is key to cellular decisions, as even genetically identical cells respond in very different ways to the same external stimulus, e.g., during cell differentiation or therapeutic treatment of disease. Strong…

Molecular Networks · Quantitative Biology 2020-07-20 Uddipan Sarma , Lorenz Hexemer , Uchenna Alex Anyaegbunam , Stefan Legewie

Morphogenetic patterns are highly sophisticated dissipative structures. Are they governed by the same general mechanisms as chemical and hydrodynamic patterns? Turing's symmetry breaking and Wolpert's signalling provide alternative…

Pattern Formation and Solitons · Physics 2019-05-22 L. M. Pismen

Maintaining tissue homeostasis requires appropriate regulation of stem cell differentiation. The Waddington landscape posits that gene circuits in a cell form a potential landscape of different cell types, wherein cells follow attractors of…

Quantitative Methods · Quantitative Biology 2023-09-15 Rongsheng Huang , Qiaojun Situ , Jinzhi Lei

Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modelling this process can provide novel insights into development and the principles that orchestrate the…

Tissues and Organs · Quantitative Biology 2018-06-13 M. D. Peters , L. D. Wittwer , A. Stopka , D. Barac , C. Lang , D. Iber

Multipotent stem or progenitor cells undergo a sequential series of binary fate decisions, which ultimately generate the diversity of differentiated cells. Efforts to understand cell fate control have focused on simple gene regulatory…

Molecular Networks · Quantitative Biology 2009-09-15 David V. Foster , Jacob G. Foster , Sui Huang , Stuart A. Kauffman

The dispersal of cells from an initially constrained location is a crucial aspect of many physiological phenomena ranging from morphogenesis to tumour spreading. In such processes, the way cell-cell interactions impact the motion of single…

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees relating species. Along branches, sequence evolution is modelled using a continuous-time Markov process characterised by an instantaneous rate…

Decisions in the cell that lead to its ultimate fate are important for cellular functions such as proliferation, growth, differentiation, development and death. Understanding this decision process is imperative for advancements in the…

Molecular Networks · Quantitative Biology 2017-07-05 Zhenlong Jiang , Li Tian , Xiaona Fang , Kun Zhang , Qiong Liu , Qingzhe Dong , Erkang Wang , Jin Wang

The mammalian cortex is divided into architectonic and functionally distinct areas. There is growing experimental evidence that their emergence and development is controlled by both epigenetic and genetic factors. The latter were recently…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jan Karbowski , G. B. Ermentrout

We examine a spatially discrete reaction diffusion model based on the interactions that create a periodic pattern in the Drosophila eye imaginal disc. This model is capable of generating a regular hexagonal pattern of gene expression behind…

Molecular Networks · Quantitative Biology 2010-01-26 Matthew W. Pennington , David K. Lubensky

Unlike other tissue types, like epithelial tissue, which consist of cells with a much more homogeneous structure and function, the nervous tissue spans in a complex multilayer environment whose topographical features display a large…

Biological Physics · Physics 2017-05-12 C. Simitzi , A. Ranella , E. Stratakis
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