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Without contributing, defectors take more benefit from social resources than cooperators which is the reflection of a specific character of individuals. However, natural physical mechanisms of our society promote cooperation. Thus, in the…

Populations and Evolution · Quantitative Biology 2021-09-16 Bijan Sarkar

We present a model of the evolution of control systems in a genome under environmental constraints. The model conceptually follows the Jacob and Monod model of gene control. Genes contain control elements which respond to the internal state…

Genomics · Quantitative Biology 2021-06-09 William Bains , Enrico Borriello , Dirk Schulze-Makuch

Determining mechanistic models of gene regulation, especially underlying phenotypic variation, is a central goal of both mathematical biology and modern evolutionary biology. However, several challenges, involving both common…

Molecular Networks · Quantitative Biology 2025-11-04 Cody E. FitzGerald , Shelley Reich , Victor Agaba , Arjun Mathur , Michael S. Werner , Niall M. Mangan

Genetically encoded regulatory circuits control biological function. A major focus of systems biology is to understand these circuits by establishing the relationship between specific structures and functions. Of special interest are…

Molecular Networks · Quantitative Biology 2017-08-17 Ruben Perez-Carrasco , Chris P. Barnes , Yolanda Schaerli , Mark Isalan , James Briscoe , Karen M. Page

The aim of this paper is to study two models for a bacterial population subject to antibiotic treatments. It is known that some bacteria are sensitive to antibiotics. These bacteria are in a state called persistence and each bacterium can…

Probability · Mathematics 2013-04-15 Fabio Zucca

We examine fluctuation effects due to the low copy number of proteins involved in pattern-forming dynamics within a bacterium. We focus on a stochastic model of the oscillating MinCDE protein system regulating accurate cell division in E.…

Statistical Mechanics · Physics 2009-11-10 Martin Howard , Andrew D. Rutenberg

Here we introduce a new design framework for synthetic biology that exploits the advantages of Bayesian model selection. We will argue that the difference between inference and design is that in the former we try to reconstruct the system…

Molecular Networks · Quantitative Biology 2015-05-27 Chris Barnes , Daniel Silk , Xia Sheng , Michael P. H. Stumpf

Mutation rate is a key determinant of the pace as well as outcome of evolution, and variability in this rate has been shown in different scenarios to play a key role in evolutionary adaptation and resistance evolution under stress caused by…

Populations and Evolution · Quantitative Biology 2019-03-01 Dalit Engelhardt , Eugene I. Shakhnovich

In the growth of bacterial colonies, a great variety of complex patterns are observed in experiments, depending on external conditions and the bacterial species. Typically, existing models employ systems of reaction-diffusion equations or…

Biological Physics · Physics 2019-11-12 Lautaro Vassallo , David Hansmann , Lidia A. Braunstein

Living systems adapt to various environmental conditions by changing their internal states. Inspired by gene expression and epigenetic modification dynamics, we herein propose a generic mechanism for adaptation by combining fast oscillatory…

Quantitative Methods · Quantitative Biology 2022-09-23 Yuuki Matsushita , Kunihiko Kaneko

The ambitious and ultimate research purpose in Systems Biology is the understanding and modelling of the cell's system. Although a vast number of models have been developed in order to extract biological knowledge from complex systems…

Biomolecules · Quantitative Biology 2007-05-23 T. Ochiai , J. C. Nacher , T. Akutsu

We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time,…

Statistical Mechanics · Physics 2009-10-31 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Complexity in biology is often described using a multi-map architecture, where the genotype, representing the encoded information, is mapped to the functional level, known as the phenotype, which is then connected to a latent phenotype we…

Other Quantitative Biology · Quantitative Biology 2024-02-06 Juan F Poyatos

Advances in synthetic biology allow us to engineer bacterial collectives with pre-specified characteristics. However, the behavior of these collectives is difficult to understand, as cellular growth and division as well as extra-cellular…

Cell Behavior · Quantitative Biology 2017-09-13 James J. Winkle , Oleg Igoshin , Matthew R. Bennett , Krešimir Josić , William Ott

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

Systems and Control · Computer Science 2017-01-11 Luca Bortolussi , Guido Sanguinetti

Gene regulatory networks constitute the first layer of the cellular computation for cell adaptation and surveillance. In these webs, a set of causal relations is built up from thousands of interactions between transcription factors and…

Molecular Networks · Quantitative Biology 2009-11-30 Carlos Rodriguez-Caso , Bernat Corominas-Murtra , Ricard V. Solé

Response time-delay is an ubiquitous phenomenon in biological systems. Here we use a simple stochastic population model with time-delayed switching-rate conversion to quantitatively study the biological influence of the response time-delay…

Populations and Evolution · Quantitative Biology 2009-04-14 Xiao chuan Xue , Jinhua Zhao , Fei Liu , Zhong-can Ou-Yang

Switching of the direction of flagella rotations is the key control mechanism governing the chemotactic activity of E. coli and many other bacteria. Power-law distributions of switching times are most peculiar because their emergence cannot…

Biological Physics · Physics 2018-06-26 M. I. Krivonosov , V. Zaburdaev , S. V. Denisov , M. V. Ivanchenko

Adaptation in a fluctuating environment is a process of fueling environmental information to gain fitness. Living systems have gradually developed strategies for adaptation from random and passive diversification of the phenotype to more…

Populations and Evolution · Quantitative Biology 2017-07-12 Tetsuya J. Kobayashi , Yuki Sughiyama

In biology, the evolution of increasingly cooperative groups has shaped the history of life. Genes collaborate in the control of cells; cells efficiently divide tasks to produce cohesive multicellular individuals; individual members of…

Populations and Evolution · Quantitative Biology 2011-12-15 Steven A. Frank