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In epistatic fitness landscapes, the fitness effect of a mutation depends on the genetic background and may even switch between deleterious and beneficial depending on the presence of another mutation. Epistatic interactions may cause both…

A central question in developmental biology is how size and position are determined. The genetic code carries instructions on how to control these properties in order to regulate the pattern and morphology of structures in the developing…

Cell Behavior · Quantitative Biology 2016-12-05 Krishna Garikipati

Biases in molecular evolution can significantly influence evolutionary trajectories. They have been described in a variety of contexts such as development and mutation, but not for acquiring new functions (i.e. emergence). Here, we…

Populations and Evolution · Quantitative Biology 2026-04-23 Timothy Fuqua , Nikolaos Vakirlis

Biological evolution continuously refines the design of species, resulting in highly optimised organisms over hundreds of millennia. Intuitively, we expect that random changes-evolution's primary mechanism-are more likely to be harmful than…

Populations and Evolution · Quantitative Biology 2025-01-24 Alessandro Fontana , Marios Kyriazis

Our understanding of evolution is shaped strongly by how we conceive of its fundamental causes. In the original Modern Synthesis, evolution was defined as a process of shifting the frequencies of available alleles at many loci affecting a…

Populations and Evolution · Quantitative Biology 2018-05-17 Arlin Stoltzfus

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

Epistasis occurs when the effect of a mutation depends on its carrier's genetic background. Despite increasing evidence that epistasis for fitness is common, its role during evolution is contentious. Fitness landscapes, mappings of genotype…

Populations and Evolution · Quantitative Biology 2022-06-13 Claudia Bank

These lectures will address two questions. Is there a simple variational principle underlying the existence of secondary motifs in the native state of proteins? Is there a general approach which can qualitatively capture the salient…

Statistical Mechanics · Physics 2007-05-23 Jay Banavar , Amos Maritan , Cristian Micheletti , Flavio Seno

Is evolution always gradual or can it make leaps? We examine a mathematical model of an evolutionary process on a fitness landscape and obtain analytic solutions for the probability of multi-mutation leaps, that is, several mutations…

Populations and Evolution · Quantitative Biology 2022-10-12 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

Directed evolution is an iterative laboratory process of designing proteins with improved function by iteratively synthesizing new protein variants and evaluating their desired property with expensive and time-consuming biochemical…

Machine Learning · Computer Science 2025-09-08 Matouš Soldát , Jiří Kléma

Several physical mechanisms have been proposed to explain allostery in proteins. They differ by the number of internal states that they assume a protein to occupy, leaving open the question of what controls the emergence of these distinct…

Biomolecules · Quantitative Biology 2021-11-19 Eric Rouviere , Rama Ranganathan , Olivier Rivoire

The function of proteins arises from cooperative interactions and rearrangements of their amino acids, which exhibit large-scale dynamical modes. Long-range correlations have also been revealed in protein sequences, and this has motivated…

Quantitative Methods · Quantitative Biology 2018-05-02 Sandipan Dutta , Jean-Pierre Eckmann , Albert Libchaber , Tsvi Tlusty

Novel numerical techniques, validated by an analysis of barnase and chymotrypsin inhibitor, are used to elucidate the paramount role played by the geometry of the protein backbone in steering the folding to the correct native state. It is…

Statistical Mechanics · Physics 2009-10-31 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

The evolutionary origins of ageing and age-associated diseases continue to pose a fundamental question in biology. This study is concerned with a recently proposed framework, which conceptualises development and ageing as a continuous…

Populations and Evolution · Quantitative Biology 2025-09-11 Alessandro Fontana

The diversity and quality of natural systems have been a puzzle and inspiration for communities studying artificial life. It is now widely admitted that the adaptation mechanisms enabling these properties are largely influenced by the…

Populations and Evolution · Quantitative Biology 2022-07-08 Eleni Nisioti , Clément Moulin-Frier

Constraints on changes in expression levels across all cell components imposed by the steady growth of cells have recently been discussed both experimentally and theoretically. By assuming a small environmental perturbation and considering…

Populations and Evolution · Quantitative Biology 2018-04-18 Chikara Furusawa , Kunihiko Kaneko

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

If evolution can be connected to the principle of least action, and if it is depicted in evolution space versus time then it corresponds to the direction of ultimate causation. As an organism evolves and follows a path of proximate…

Biological Physics · Physics 2021-01-06 Clive Edward Neal Sturgess

During their evolution, proteins explore sequence space via an interplay between random mutations and phenotypic selection. Here we build upon recent progress in reconstructing data-driven fitness landscapes for families of homologous…

Biomolecules · Quantitative Biology 2022-01-28 Matteo Bisardi , Juan Rodriguez-Rivas , Francesco Zamponi , Martin Weigt

Acidosis in tumors arises from reprogrammed metabolism and compromised vasculature, creating a harsh, acidic microenvironment that drives the evolutionary selection of acid-resistant cell phenotypes. A mathematical model is proposed to…

Tissues and Organs · Quantitative Biology 2025-12-30 Prithvi Anickode , Fabio Milner