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This paper considers the behavior of discrete and continuous mathematical models for gene expression in the presence of transcriptional/translational bursting. We treat this problem in generality with respect to the distribution of the…

Probability · Mathematics 2015-10-15 M. C. Mackey , M. Tyran-Kamińska , R. Yvinec

A key goal of systems biology is the predictive mathematical description of gene regulatory circuits. Different approaches are used such as deterministic and stochastic models, models that describe cell growth and division explicitly or…

Molecular Networks · Quantitative Biology 2012-10-12 Rahul Marathe , Veronika Bierbaum , David Gomez , Stefan Klumpp

In early development, regulation of transcription results in precisely positioned and highly reproducible expression patterns that specify cellular identities. How transcription, a fundamentally noisy molecular process, is regulated to…

Subcellular Processes · Quantitative Biology 2018-01-10 Benjamin Zoller , Shawn C. Little , Thomas Gregor

Embryonic development is driven by spatial patterns of gene expression that determine the fate of each cell in the embryo. While gene expression is often highly erratic, embryonic development is usually exceedingly precise. In particular,…

Molecular Networks · Quantitative Biology 2015-06-11 Thomas R. Sokolowski , Thorsten Erdmann , Pieter Rein ten Wolde

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

Gene expression is a biochemical process, where stochastic binding and un-binding events naturally generate fluctuations and cell-to-cell variability in gene dynamics. These fluctuations typically have destructive consequences for proper…

Populations and Evolution · Quantitative Biology 2022-03-22 Yen Ting Lin , Nicolas E. Buchler

Segmentation in arthropod embryogenesis represents a well-known example of body plan diversity. Striped patterns of gene expression that lead to the future body segments appear simultaneously or sequentially in long and short germ-band…

Molecular Networks · Quantitative Biology 2008-07-31 Koichi Fujimoto , Shuji Ishihara , Kunihiko Kaneko

This paper presents a real-time simulation involving ''protozoan-like'' cells that evolve by natural selection in a physical 2D ecosystem. Selection pressure is exerted via the requirements to collect mass and energy from the surroundings…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Dylan Cope

Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a unified theoretical framework that links these two seemingly…

Tissues and Organs · Quantitative Biology 2026-04-30 Carles Falcó , Samuel W. S. Johnson , Mohit P. Dalwadi , Philip K. Maini

Organisms have increased in complexity through a series of major evolutionary transitions, in which formerly autonomous entities become parts of a novel higher-level entity. One intriguing feature of the higher-level entity after some major…

Populations and Evolution · Quantitative Biology 2014-11-13 Eric Libby , William Ratcliff , Michael Travisano , Ben Kerr

We introduce and analyse an individual-based evolutionary model, in which a population of genetically diverse organisms compete with each other for limited resources. Through theoretical analysis and stochastic simulations, we show that the…

Populations and Evolution · Quantitative Biology 2012-11-02 Tim Rogers , Alan J. McKane , Axel G. Rossberg

Initial residual stress is omnipresent in biological tissues and soft matter, and can affect growth-induced pattern selection significantly. Here we demonstrate this effect experimentally by letting soft tubes grow in the presence or…

Soft Condensed Matter · Physics 2020-09-11 Yangkun Du , Chaofeng Lü , Congshan Liu , Zilong Han , Jian Li , Weiqi Chen , Shaoxing Qua , Michel Destrade

Motivation: Gene regulatory interactions are of fundamental importance to various biological functions and processes. However, only a few previous computational studies have claimed success in revealing genome-wide regulatory landscapes…

Molecular Networks · Quantitative Biology 2017-02-09 Shupeng Gui , Rui Chen , Liang Wu , Ji Liu , Hongyu Miao

The rise of multicellularity in the early evolution of life represents a major challenge for evolutionary biology. Guidance for finding answers has emerged from disparate fields, from phylogenetics to modelling and synthetic biology, but…

Populations and Evolution · Quantitative Biology 2015-11-09 Salva Duran-Nebreda , Adriano Bonforti , Raul Montañez , Sergi Valverde , Ricard Solé

From genomes and ecosystems to bureaucracies and cities, the growth of complex systems occurs by adding new types of functions and expanding existing ones. We present a simple generative model that generalizes the Yule-Simon process by…

This paper develops mathematical models describing the evolutionary dynamics of both asexually and sexually reproducing populations of diploid unicellular organisms. We consider two forms of genome organization. In one case, we assume that…

Populations and Evolution · Quantitative Biology 2009-07-17 Maya Kleiman , Emmanuel Tannenbaum

This paper reports on patterns exhibiting self-replication with spontaneous, inheritable mutations and exponential genetic drift in Neural Cellular Automata. Despite the models not being explicitly trained for mutation or inheritability,…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Lana Sinapayen

Inside individual cells, expression of genes is stochastic across organisms ranging from bacterial to human cells. A ubiquitous feature of stochastic expression is burst-like synthesis of gene products, which drives considerable…

Molecular Networks · Quantitative Biology 2016-09-13 Pavol Bokes , Abhyudai Singh

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

Isogenic Escherichia coli growing exponentially in a constant environment display large variation in growth-rates, division-sizes and generation-times. It is unclear how these seemingly random cell cycles can be reconciled with the precise…

Quantitative Methods · Quantitative Biology 2015-10-14 Mats Wallden , David Fange , Özden Baltekin , Johan Elf