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The origin of life is shrouded in mystery, with few surviving clues, obscured by evolutionary competition. Previous reviews have touched on the complementary approaches of top-down and bottom-up synthetic biology to augment our…

Populations and Evolution · Quantitative Biology 2022-07-18 Ivan Ivanov , Stoyan K. Smoukov , Ehsan Nourafkan , Katharina Landfester , Petra Schwille

Asymmetric segregation of key proteins at cell division -- be it a beneficial or deleterious protein -- is ubiquitous in unicellular organisms and often considered as an evolved trait to increase fitness in a stressed environment. Here, we…

Populations and Evolution · Quantitative Biology 2019-02-20 Jie Lin , Jiseon Min , Ariel Amir

Cell growth and gene expression, essential elements of all living systems, have long been the focus of biophysical interrogation. Advances in single-cell methods have invigorated theoretical studies into these processes. However, until…

Subcellular Processes · Quantitative Biology 2023-11-22 Ido Golding , Ariel Amir

Many biological, physical, and social interactions have a particular dependence on where they take place. In living cells, protein movement between the nucleus and cytoplasm affects cellular response (i.e., proteins must be present in the…

Molecular Networks · Quantitative Biology 2012-10-11 Heather A. Harrington , Elisenda Feliu , Carsten Wiuf , Michael M. P. Stumpf

The prevalence of multicellular organisms is due in part to their ability to form complex structures. How cells pack in these structures is a fundamental biophysical issue, underlying their functional properties. However, much remains…

Neurons in the brain are often finely tuned for specific task variables. Moreover, such disentangled representations are highly sought after in machine learning. Here we mathematically prove that simple biological constraints on neurons,…

Neurons and Cognition · Quantitative Biology 2023-04-04 James C. R. Whittington , Will Dorrell , Surya Ganguli , Timothy E. J. Behrens

We study a stochastic model proposed recently in the genetic literature to explain the heterogeneity of cell populations or of gene products. Cells are located in two colonies, whose sizes fluctuate as birth and migration processes in…

Populations and Evolution · Quantitative Biology 2007-05-23 Martin Gander , Christian Mazza , Hansklaus Rummler

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

Populations and Evolution · Quantitative Biology 2020-02-19 M. M. Tehrani , S. Soltanieh

Basic problems for the construction of a scenario for the Life are discussed. To study the problems in terms of dynamical systems theory, a scheme of intra-inter dynamics is presented. It consists of internal dynamics of a unit, interaction…

adap-org · Physics 2015-06-24 Kunihiko Kaneko

A microscopic agent dynamical model for diploid age-structured populations is used to study evolution of polymorphism and sympatric speciation. The underlying ecology is represented by a unimodal distribution of resources of some width.…

Populations and Evolution · Quantitative Biology 2015-06-26 E. Brigatti , J. S. Sa' Martins , I. Roditi

Natural selection and random drift are competing phenomena for explaining the evolution of populations. Combining a highly fit mutant with a population structure that improves the odds that the mutant spreads through the whole population…

Populations and Evolution · Quantitative Biology 2009-08-14 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Understanding how growth induces form is a longstanding biological question. Many studies concentrated on the shapes of plant cells, fungi or bacteria. Some others have shown the importance of the mechanical properties of bacterial walls…

Biological Physics · Physics 2007-05-23 Arezki Boudaoud

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

Bacterial chemotaxis systems are as diverse as the environments that bacteria inhabit, but how much environmental variation can cells tolerate with a single system? Diversification of a single chemotaxis system could serve as an…

Populations and Evolution · Quantitative Biology 2015-11-30 Nicholas W Frankel , William Pontius , Yann S Dufour , Junjiajia Long , Luis Hernandez- Nunez , Thierry Emonet

We present a simple mathematical model that captures the evolutionary capabilities of a prebiotic compartment or protocell. In the model the protocell contains an autocatalytic set whose chemical dynamics is coupled to the growth-division…

Populations and Evolution · Quantitative Biology 2023-10-31 Angad Yuvraj Singh , Sanjay Jain

Microbial ecosystems are remarkably diverse, stable, and often consist of a balanced mixture of core and peripheral species. Here we propose a conceptual model exhibiting all these emergent properties in quantitative agreement with real…

Populations and Evolution · Quantitative Biology 2018-04-18 Akshit Goyal , Sergei Maslov

When a collection of phenotypically diverse organisms compete with each other for limited resources, with competition being strongest amongst the most similar, the population can evolve into tightly localised clusters. This process can be…

Populations and Evolution · Quantitative Biology 2012-05-16 Tim Rogers , Alan J. McKane , Axel G. Rossberg

Stochastic models of sequential mutation acquisition are widely used to quantify cancer and bacterial evolution. Across manifold scenarios, recurrent research questions are: how many cells are there with $n$ alterations, and how long will…

Populations and Evolution · Quantitative Biology 2023-07-07 Michael D. Nicholson , David Cheek , Tibor Antal

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

Analysis of PDEs · Mathematics 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

The large scale behaviour of a population of cells that grow and interact through the concentration field of the chemicals they secrete is studied using dynamical renormalization group methods. The combination of the effective long-range…

Cell Behavior · Quantitative Biology 2015-01-19 Anatolij Gelimson , Ramin Golestanian
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