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The evolution of high-dimensional phenotypes is investigated using a statistical physics model consists of interacting spins, in which genotypes, phenotypes, and environments are represented by spin configurations, interaction matrices, and…

Biological Physics · Physics 2020-06-24 Ayaka Sakata , Kunihiko Kaneko

Biological systems must be robust for stable function against perturbations, but robustness alone is not sufficient. The ability to switch between appropriate states (phenotypes) in response to different conditions is essential for…

Populations and Evolution · Quantitative Biology 2023-04-25 Ayaka Sakata , Kunihiko Kaneko

All possible phenotypes are not equally accessible to evolving populations. In fact, only phenotypes of large size, i.e. those resulting from many different genotypes, are found in populations of sequences, presumably because they are…

Populations and Evolution · Quantitative Biology 2023-08-16 Pablo Catalán , Juan Antonio García-Martín , Jacobo Aguirre , José A. Cuesta , Susanna Manrubia

Biological functions are generated as a result of developmental dynamics that form phenotypes governed by genotypes. The dynamical system for development is shaped through genetic evolution following natural selection based on the fitness…

Populations and Evolution · Quantitative Biology 2009-11-13 Kunihiko Kaneko

Phenotype of biological systems needs to be robust against mutation in order to sustain themselves between generations. On the other hand, phenotype of an individual also needs to be robust against fluctuations of both internal and external…

Populations and Evolution · Quantitative Biology 2015-06-26 Kunihiko Kaneko

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

In biological systems, expression dynamics that can provide fitted phenotype patterns with respect to a specific function have evolved through mutations. This has been observed in the evolution of proteins for realizing folding dynamics…

Disordered Systems and Neural Networks · Physics 2015-05-13 Ayaka Sakata , Koji Hukushima , Kunihiko Kaneko

The characterization of plasticity, robustness, and evolvability, an important issue in biology, is studied in terms of phenotypic fluctuations. By numerically evolving gene regulatory networks, the proportionality between the phenotypic…

Populations and Evolution · Quantitative Biology 2015-06-15 Kunihiko Kaneko

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

Populations and Evolution · Quantitative Biology 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

In biological systems, expression dynamics to shape a fitted phenotype for function has evolved through mutations to genes, as observed in the evolution of funnel landscape in protein. We study this evolutionary process with a…

Disordered Systems and Neural Networks · Physics 2009-04-07 Ayaka Sakata , Koji Hukushima , Kunihiko Kaneko

We consider the dynamics imposed by natural selection on the populations of two competing, sexually reproducing, haploid species. In this setting, the fitness of any genome varies over time due to the changing population mix of the…

Populations and Evolution · Quantitative Biology 2024-07-18 Yuval Rabani , Leonard J. Schulman , Alistair Sinclair

Darwinian evolution can be illustrated as an uphill walk in a landscape, where the surface consists of genotypes, the height coordinates represent fitness, and each step corresponds to a point mutation. Epistasis, roughly defined as the…

Quantitative Methods · Quantitative Biology 2013-05-08 Kristina Crona

Fisher's geometric model was originally introduced to argue that complex adaptations must occur in small steps because of pleiotropic constraints. When supplemented with the assumption of additivity of mutational effects on phenotypic…

Populations and Evolution · Quantitative Biology 2017-06-12 Sungmin Hwang , Su-Chan Park , Joachim Krug

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a…

Populations and Evolution · Quantitative Biology 2025-07-02 Alexander P Browning , Sara Hamis

Most of the DNA that composes a complex organism is non-coding and defined as junk. Even the coding part is composed of genes that affect the phenotype differently. Therefore, a random mutation has an effect on the specimen fitness that…

Populations and Evolution · Quantitative Biology 2021-07-19 Mattia Miotto , Lorenzo Monacelli

Understanding how genes influence phenotype across species is a fundamental challenge in genetic engineering, which will facilitate advances in various fields such as crop breeding, conservation biology, and personalized medicine. However,…

Machine Learning · Computer Science 2025-03-11 Mengdi Liu , Zhangyang Gao , Hong Chang , Stan Z. Li , Shiguang Shan , Xilin Chen

We study evolutionary canalization using a spin-glass model with replica theory, where spins and their interactions are dynamic variables whose configurations correspond to phenotypes and genotypes, respectively. The spins are updated under…

Disordered Systems and Neural Networks · Physics 2015-06-03 Ayaka Sakata , Koji Hukushima , Kunihiko Kaneko

Predicting the adaptation of populations to a changing environment is crucial to assess the impact of human activities on biodiversity. Many theoretical studies have tackled this issue by modeling the evolution of quantitative traits…

Analysis of PDEs · Mathematics 2022-06-28 Jimmy Garnier , O Cotto , T Bourgeron , E Bouin , T Lepoutre , O Ronce , V Calvez

Conventional population genetics considers the evolution of a limited number of genotypes corresponding to phenotypes with different fitness. As model phenotypes, in particular RNA secondary structure, have become computationally tractable,…

Populations and Evolution · Quantitative Biology 2008-04-22 Gergely J. Szollosi , Imre Derenyi

Understanding how genotypes map onto phenotypes, fitness, and eventually organisms is arguably the next major missing piece in a fully predictive theory of evolution. We refer to this generally as the problem of the genotype-phenotype map.…

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