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Cell-to-cell variability is inherent to numerous biological processes, including cell migration. Quantifying and characterizing the variability of migrating cells is challenging, as it requires monitoring many cells for long time windows…

Biological Physics · Physics 2021-05-06 David B. Brückner , Alexandra Fink , Joachim O. Rädler , Chase P. Broedersz

Evolutionary dynamics and patterns of molecular evolution are strongly influenced by selection on linked regions of the genome, but our quantitative understanding of these effects remains incomplete. Recent work has focused on predicting…

Populations and Evolution · Quantitative Biology 2013-05-29 Benjamin H. Good , Michael M. Desai

One of the outstanding challenges in comparative genomics is to interpret the evolutionary importance of regulatory variation between species. Rigorous molecular evolution-based methods to infer evidence for natural selection from…

Populations and Evolution · Quantitative Biology 2013-10-16 Joshua G. Schraiber , Yulia Mostovoy , Tiffany Y. Hsu , Rachel B. Brem

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

We analyze evolutionary dynamics in a confluent, branching cellular population, such as in a growing duct, vasculature, or in a branching microbial colony. We focus on the coarse-grained features of the evolution and build a statistical…

Populations and Evolution · Quantitative Biology 2022-02-15 Adam S. Bryant , Maxim O. Lavrentovich

Somatic hypermutations of immunoglobulin (Ig) genes occuring during affinity maturation drive B-cell receptors' ability to evolve strong binding to their antigenic targets. The landscape of these mutations is highly heterogeneous, with…

Genomics · Quantitative Biology 2021-02-05 Natanael Spisak , Aleksandra M. Walczak , Thierry Mora

We present a model that considers the maturation of the antibody population following primary antigen presentation as a global optimization problem. The trade-off that emerges from our model describes the balance between the safety of…

Quantitative Methods · Quantitative Biology 2007-05-23 Patricia Theodosopoulos , Ted Theodosopoulos

Probabilistic modeling is fundamental to the statistical analysis of complex data. In addition to forming a coherent description of the data-generating process, probabilistic models enable parameter inference about given data sets. This…

Populations and Evolution · Quantitative Biology 2018-05-01 Branden J. Olson , Frederick A. Matsen

We consider resequencing studies of associated loci and the problem of prioritizing sequence variants for functional follow-up. Working within the multivariate linear regression framework helps us to account for correlation across variants,…

Methodology · Statistics 2016-04-06 Laurel Stell , Chiara Sabatti

We study a simple model of DNA evolution in a growing population of cells. Each cell contains a nucleotide sequence which randomly mutates at cell division. Cells divide according to a branching process. Following typical parameter values…

Probability · Mathematics 2020-06-05 David Cheek , Tibor Antal

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

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

Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data can be…

Populations and Evolution · Quantitative Biology 2019-04-03 C. D. Bayliss , C. Fallaize , R. Howitt , M. V. Tretyakov

B-cell repertoires are characterized by a diverse set of receptors of distinct specificities generated through two processes of somatic diversification: V(D)J recombination and somatic hypermutations. B cell clonal families stem from the…

Populations and Evolution · Quantitative Biology 2024-03-19 Natanael Spisak , Gabriel Athènes , Thomas Dupic , Thierry Mora , Aleksandra M. Walczak

To perform recognition, molecules must locate and specifically bind their targets within a noisy biochemical environment with many look-alikes. Molecular recognition processes, especially the induced-fit mechanism, are known to involve…

Biomolecules · Quantitative Biology 2010-07-27 Yonatan Savir , Tsvi Tlusty

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

Biological information processing manifests a huge variety in its complexity and capability among different organisms, which presumably stems from the evolutionary optimization under limited computational resources. Starting from the…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

Artificial intelligence (AI) is accelerating progress in modeling T and B cell receptors by enabling predictive and generative frameworks grounded in sequence data and immune context. This chapter surveys recent advances in the use of…

Biomolecules · Quantitative Biology 2026-01-30 Linhui Xie , Aurelien Pelissier , Yanjun Shao , Maria Rodriguez Martinez

The adaptive immune response relies on T cells that combine phenotypic specialization with diversity of T cell receptors (TCRs) to recognize a wide range of pathogens. TCRs are acquired and selected during T cell maturation in the thymus.…

When simulating biological populations under different evolutionary genetic models, backward or forward strategies can be followed. Backward simulations, also called coalescent-based simulations, are computationally very efficient. However,…

Populations and Evolution · Quantitative Biology 2008-01-03 Antonio Carvajal-Rodriguez