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Tumorigenic transformation of human epithelial cells in vitro has been described experimentally as the potential result of a process known as spontaneous immortalization. In this process a generic series of cell state transitions occur in…

"Epigenetic Tracking" is a model of systems of biological cells, able to generate arbitrary 2 or 3-dimensional cellular shapes of any kind and complexity (in terms of number of cells, number of colours, etc.) starting from a single cell. If…

Adaptation and Self-Organizing Systems · Physics 2011-11-18 Alessandro Fontana

In multi-cellular organisms, cells differentiate into multiple types as they divide. States of these cell types, as well as their numbers, are known to be robust to external perturbations; as conceptualized by Waddington's epigenetic…

Biological Physics · Physics 2026-01-21 Davey Plugers , Kunihiko Kaneko

Epigenetic Tracking is a mathematical model of biological cells, originally conceived to study embryonic development. Computer simulations proved the capacity of the model to generate complex 3-dimensional cellular structures, and the…

Cell Behavior · Quantitative Biology 2015-07-07 Alessandro Fontana

Quantifying the adaptive landscape in a given dynamical processes has been one of most important goals in theoretical biology. It can have immediate implications for many dynamical properties, such as robustness and plasticity. Based on…

Quantitative Methods · Quantitative Biology 2009-02-09 P Ao

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

DNA methylation is usually treated as an epigenetic memory mark: transcriptional history is written into regulatory DNA and later stabilizes a chosen cell identity. This picture explains persistence, but it makes memory passive. Here we…

Molecular Networks · Quantitative Biology 2026-05-15 Kaifeng Wang , Ming Han

Epigenetics has captured the attention of scientists in the past decades, yet its scope has been continuously changing. In this paper, we give an overview on how and why its definition has evolved and suggest several clarification on the…

Subcellular Processes · Quantitative Biology 2015-02-05 Evelyne Saade , Vasily Ogryzko

This paper deals with a model of cellular growth called "Epigenetic Tracking", whose key features are: i) distinction bewteen "normal" and "driver" cells; ii) presence in driver cells of an epigenetic memory, that holds the position of the…

Cell Behavior · Quantitative Biology 2009-05-01 Alessandro Fontana

Epigenetic landscapes, represented by patterns of chemical modifications on histone tails, are essential for maintaining cell identity and tissue homeostasis. These landscapes are shaped by multiple factors, including local biochemical…

Quantitative Methods · Quantitative Biology 2025-08-25 Daria Stepanova , Helen M. Byrne , Tomás Alarcón

We suggest to simulate evolution of complex organisms constrained by the sole requirement of robustness in their expression patterns. This scenario is illustrated by evolving discrete logical networks with epigenetic properties. Evidence…

Statistical Mechanics · Physics 2007-05-23 Stefan Bornholdt , Kim Sneppen

Genetic algorithms are a well-known example of bio-inspired heuristic methods. They mimic natural selection by modeling several operators such as mutation, crossover, and selection. Recent discoveries about Epigenetics regulation processes…

Neural and Evolutionary Computing · Computer Science 2023-03-20 Mohamed Djallel Dilmi , Hanene Azzag , Mustapha Lebbah

Evolutionary dynamics is often viewed as a subtle process of change accumulation that causes a divergence among organisms and their genomes. However, this interpretation is an inheritance of a gradualistic view that has been challenged at…

Populations and Evolution · Quantitative Biology 2018-07-27 Jacobo Aguirre , Pablo Catalán , José A. Cuesta , Susanna Manrubia

In cellular reprogramming, almost all epigenetic memories of differentiated cells are erased by the overexpression of few genes, regaining pluripotency, potentiality for differentiation. Considering the interplay between oscillatory gene…

Biological Physics · Physics 2021-09-14 Yuuki Matsushita , Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

The Waddington landscape serves as a metaphor illustrating the developmental process of cells, likening it to a small ball rolling down various trajectories into valleys. Constructing an epigenetic landscape of this nature aids in…

Quantitative Methods · Quantitative Biology 2023-11-20 Junbo Jia , Luonan Chen

Developmental dynamics of multicellular organism is a process that takes place in a multi-stable system in which each attractor state represents a cell type and attractor transitions correspond to cell differentiation paths. This new…

Molecular Networks · Quantitative Biology 2012-06-12 Joseph Xu Zhou , M. D. S. Aliyu , Erik Aurell , Sui Huang

Cell fate decisions emerge as a consequence of a complex set of gene regulatory networks. Models of these networks are known to have more parameters than data can determine. Recent work, inspired by Waddington's metaphor of a landscape, has…

Quantitative Methods · Quantitative Biology 2023-05-08 Archishman Raju , Eric D. Siggia

Epigenetic cell memory, the inheritance of gene expression patterns across subsequent cell divisions, is a critical property of multi-cellular organisms. In recent work [10], a subset of the authors observed in a simulation study how the…

Probability · Mathematics 2024-05-17 Simone Bruno , Felipe A. Campos , Yi Fu , Domitilla Del Vecchio , Ruth J. Williams

Reconciling the stability of epigenetic patterns with the rapid turnover of histone modifications and their adaptability to external stimuli is an outstanding challenge. Here, we propose a new biophysical mechanism that can establish and…

Subcellular Processes · Quantitative Biology 2017-11-29 Davide Michieletto , Michael Chiang , Davide Coli , Argyris Papantonis , Enzo Orlandini , Peter R. Cook , Davide Marenduzzo

A large number of studies have shown the existence of metabolic covalent modifications in different molecular structures, able to store biochemical information that is not encoded by the DNA. Some of these covalent mark patterns can be…

Subcellular Processes · Quantitative Biology 2015-01-12 Ildefonso M. De la Fuente