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Formulating quantitative and predictive models for tissue development requires consideration of the complex, stochastic gene expression dynamics, its regulation via cell-to-cell interactions, and cell proliferation. Including all of these…

Cell Behavior · Quantitative Biology 2026-05-12 Casey O. Barkan , Tom Chou

The proper functioning of multicellular organisms requires the robust establishment of precise proportions between distinct cell-types. This developmental differentiation process typically involves intracellular regulatory and stochastic…

Cell Behavior · Quantitative Biology 2016-06-22 Benjamin Pfeuty , Kunihiko Kaneko

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. By adopting a simple theoretical framework for intra-cellular chemical reaction dynamics with…

Cell Behavior · Quantitative Biology 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

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

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

Robustness, the insensitivity of some of a biological system's functionalities to a set of distinct conditions, is intimately linked to fitness. Recent studies suggest that it may also play a vital role in enabling the evolution of species.…

Adaptation and Self-Organizing Systems · Physics 2011-12-15 James M Whitacre , Axel Bender

In higher organisms, all cells share the same genome, but every cell expresses only a limited and specific set of genes that defines the cell type. During cell division, not only the genome, but also the cell type is inherited by the…

A fundamental issue discussed in evolutionary biology is the transition from unicellular to multicellular organisms. Here we develop non-robust models provided in [1] and attempt to get robust models investigated how differentiation of…

Populations and Evolution · Quantitative Biology 2015-12-15 Denis Tverskoy

Evolving biomolecular networks have to combine the stability against perturbations with flexibility allowing their constituents to assume new roles in the cell. Gene duplication followed by functional divergence of associated proteins is a…

Molecular Networks · Quantitative Biology 2007-05-23 Sergei Maslov , Kim Sneppen , Kasper Astrup Eriksen

Species or population that proliferate faster than others become dominant in numbers. Catalysis allows catalytic sets within a molecular reaction network to dominate the non catalytic parts of the network by processing most of the available…

Cell Behavior · Quantitative Biology 2016-08-31 Rudolf Hanel

Understanding the rules underlying organismal development is a major unsolved problem in biology. Each cell in a developing organism responds to signals in its local environment by dividing, excreting, consuming, or reorganizing, yet how…

Cell Behavior · Quantitative Biology 2025-08-20 Ramya Deshpande , Francesco Mottes , Ariana-Dalia Vlad , Michael P. Brenner , Alma dal Co

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

Search for possible relationships between phylogeny and ontogeny is one of the most important issues in the field of evolutionary developmental biology. By representing developmental dynamics of spatially located cells with gene expression…

Populations and Evolution · Quantitative Biology 2015-04-01 Takahiro Kohsokabe , Kunihiko Kaneko

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

Differentiation is a key cellular process in normal tissue development that is significantly altered in cancer. Although molecular signatures characterising pluripotency and multipotency exist, there is, as yet, no single quantitative mark…

Cells often exhibit different and stable phenotypes from the same DNA sequence. Robustness and plasticity of such cellular states are controlled by diverse transcriptional and epigenetic mechanisms, among them the modification of…

Molecular Networks · Quantitative Biology 2015-06-18 Daniel Jost

Diverse biological networks exhibit universal features distinguished from those of random networks, calling much attention to their origins and implications. Here we propose a minimal evolution model of Boolean regulatory networks, which…

Molecular Networks · Quantitative Biology 2014-11-26 Deok-Sun Lee

Gene expression in cells is stochastic, yet differentiation is robust. We propose a mechanism in which frustrated genes with weakly stable intermediate expression undergo noise-driven switching between basins of attraction, followed by…

Biological Physics · Physics 2026-04-21 Davey Plugers , Kunihiko Kaneko

Biological networks have evolved to be highly functional within uncertain environments while remaining extremely adaptable. One of the main contributors to the robustness and evolvability of biological networks is believed to be their…

Molecular Networks · Quantitative Biology 2008-02-14 Arend Hintze , Christoph Adami

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