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Statistical physics provides a useful perspective for the analysis of many complex systems; it allows us to relate microscopic fluctuations to macroscopic observations. Developmental biology, but also cell biology more generally, are…

Cell Behavior · Quantitative Biology 2020-11-10 Anissa Guillemin , Michael P. H. Stumpf

Stem cell regeneration is a vital biological process in self-renewing tissues, governing development and tissue homeostasis. Gene regulatory network dynamics are pivotal in controlling stem cell regeneration and cell type transitions.…

Molecular Networks · Quantitative Biology 2024-04-19 Yakun Li , Xiyin Liang , Jinzhi Lei

In multicellular organisms, several cell states coexist. For determining each cell type, cell-cell interactions are often essential, in addition to intracellular gene expression dynamics. Based on dynamical systems theory, we propose a…

Cell Behavior · Quantitative Biology 2007-12-05 Akihiko Nakajima , Kunihiko Kaneko

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and…

chao-dyn · Physics 2009-10-31 Kunihiko Kaneko , Chikara Furusawa

Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Sanjay Jain , Sandeep Krishna

In this review some simple models of asexual populations evolving on smooth landscapes are studied. The basic model is based on a cellular automaton, which is analyzed here in the spatial mean-field limit. Firstly, the evolution on a fixed…

Statistical Mechanics · Physics 2016-11-23 Franco Bagnoli , Michele Bezzi

Embryonic development involves pattern formation characterized by the emergence of spatially localized domains characterized by distinct cell fates resulting from differential gene expression. The boundaries demarcating these domains are…

Tissues and Organs · Quantitative Biology 2024-06-11 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

The minimal requirements for life are autopoiesis and cognition. We propose autopoietic models with cognition and perform three classes of evolutionary simulation. In our models the plasticity of the metabolic cycle and the regulation…

Cell Behavior · Quantitative Biology 2015-12-29 Hirotaka Matsufuji , Osamu Narikiyo

Motivated by a model of an area-wide integrated pest management, we develop an interacting particle system evolving in a random environment. It is a generalised contact process in which the birth rate takes two possible values, determined…

Probability · Mathematics 2015-08-27 Kevin Kuoch

The significant role of epigenetic mechanisms within natural systems has become increasingly clear. This paper uses a recently presented abstract, tunable Boolean genetic regulatory network model to explore aspects of epigenetics. It is…

Neural and Evolutionary Computing · Computer Science 2013-06-21 Larry Bull

This short paper presents an abstract, tunable model of genomic structural change within the cell lifecycle and explores its use with simulated evolution. A well-known Boolean model of genetic regulatory networks is extended to include…

Computational Engineering, Finance, and Science · Computer Science 2012-01-18 Larry Bull

Epigenetics plays a key role in cellular differentiation and maintaining cell identity, enabling cells to regulate their genetic activity without altering the DNA sequence. Epigenetic regulation occurs within the context of hierarchically…

Quantitative Methods · Quantitative Biology 2024-09-11 Daria Stepanova , Meritxell Brunet Guasch , Helen M. Byrne , Tomás Alarcón

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 onset of life is often framed around membrane bound compartments and encoded metabolism, leaving unresolved how spatial organization arose before stable boundaries. In this context, environmental gradients are usually treated as…

Other Quantitative Biology · Quantitative Biology 2026-04-23 Arturo Tozzi

The cell cortex, a thin film of active material assembled below the cell membrane, plays a key role in cellular symmetry breaking processes such as cell polarity establishment and cell division. Here, we present a minimal model of the…

Biological Physics · Physics 2019-09-30 Alexander Mietke , V. Jemseena , K. Vijay Kumar , Ivo F. Sbalzarini , Frank Jülicher

Despite the significant recent progress in deep generative models, the underlying structure of their latent spaces is still poorly understood, thereby making the task of performing semantically meaningful latent traversals an open research…

Machine Learning · Computer Science 2023-07-04 Yue Song , T. Anderson Keller , Nicu Sebe , Max Welling

Despite their claimed biological plausibility, most self organizing networks have strict topological constraints and consequently they cannot take into account a wide range of external stimuli. Furthermore their evolution is conditioned by…

General Physics · Physics 2010-04-26 Ignazio Licata , Luigi Lella

Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissues. Understanding the dynamics of cell populations in the…

Applications · Statistics 2026-02-02 Huyen Nguyen , Haim Bar , Zhiyi Chi , Vladimir Pozdnyakov

Embryonic development leads to the reproducible and ordered appearance of complexity from egg to adult. The successive differentiation of different cell types, that elaborates this complexity, result from the activity of gene networks and…

Quantitative Methods · Quantitative Biology 2022-05-11 David A. Rand , Archishman Raju , Meritxell Saez , Francis Corson , Eric D. Siggia

Landscapes evolve toward surfaces with complex networks of channels and ridges in response to climatic and tectonic forcing. Here we analyze variational principles giving rise to minimalist models of landscape evolution as a system of…

Geophysics · Physics 2021-01-11 Milad Hooshyar , Shashank Kumar Anand , Amilcare Porporato
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