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Based on large-scale Monte Carlo simulations on lattice the energy probability distribution functions are investigated for a large set of primary sequences in distinct models of copolymers at low temperatures below transitions to compacted…

软凝聚态物质 · 物理学 2007-05-23 Edward G. Timoshenko , Yuri A. Kuznetsov , Roman N. Basovsky

We review the recent progress in computational approaches to protein design which builds on advances in statistical-mechanical protein folding theory. In particular, we evaluate the degeneracy of the protein code (i.e. how many sequences…

凝聚态物理 · 物理学 2007-05-23 E. I. Shakhnovich

The conformation and the phase diagram of a membrane protein are investigated via grand canonical ensemble approach using a homopolymer model. We discuss the nature and pathway of $\alpha$-helix integration into the membrane that results…

软凝聚态物质 · 物理学 2009-10-31 Pyeong Jun Park , W. Sung

Recruitment dynamics, or the distribution of the number of offspring among individuals, is central for understanding ecology and evolution. Sweepstakes reproduction (heavy right-tailed offspring number distribution) is central for…

种群与进化 · 定量生物学 2026-01-16 Bjarki Eldon

Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

种群与进化 · 定量生物学 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

Inspired by recent experiments on chromosomal dynamics, we introduce an exactly solvable model for the interaction between a flexible polymer and a set of motor-like enzymes. The enzymes can bind and unbind to specific sites of the polymer…

软凝聚态物质 · 物理学 2019-04-03 Stefanie Put , Takahiro Sakaue , Carlo Vanderzande

We introduce an analytical model for population dynamics with intra-specific competition, mutation and assortative mating as basic ingredients. The set of equations that describes the time evolution of population size in a mean-field…

种群与进化 · 定量生物学 2015-06-26 V. Schwämmle , K. Luz-Burgoa , J. S. Sá Martins , S. Moss de Oliveira

We propose an exactly solvable simplified statistical mechanical model for the thermodynamics of beta-amyloid aggregation, generalizing a well-studied model for protein folding. The monomer concentration is explicitly taken into account as…

生物大分子 · 定量生物学 2010-10-22 Marco Zamparo , Antonio Trovato , Amos Maritan

DNA is now firmly established as a versatile and robust platform for achieving synthetic nanostructures. While the folding of single molecules into complex structures is routinely achieved through engineering basepair sequences, much less…

软凝聚态物质 · 物理学 2025-05-15 Soumen De Karmakar , Thomas Speck

For a one-locus haploid infinite population with discrete generations, the celebrated Kingman's model describes the evolution of fitness distributions under the competition of selection and mutation, with a constant mutation probability.…

概率论 · 数学 2021-06-01 Linglong Yuan

Living systems produce "persistent" copies of information-carrying polymers, in which template and copy sequences remain correlated after physically decoupling. We identify a general measure of the thermodynamic efficiency with which these…

统计力学 · 物理学 2022-06-08 Jenny Poulton , Pieter Rein ten Wolde , Thomas E Ouldridge

We review and extend results for mutation, selection, genetic drift, and migration in a one-dimensional continuous population. The population is described by a continuous limit of the stepping stone model, which leads to the stochastic…

种群与进化 · 定量生物学 2011-04-14 K. S. Korolev , Mikkel Avlund , Oskar Hallatschek , David R. Nelson

Statistical models for families of evolutionary related proteins have recently gained interest: in particular pairwise Potts models, as those inferred by the Direct-Coupling Analysis, have been able to extract information about the…

生物大分子 · 定量生物学 2019-09-25 Kai Shimagaki , Martin Weigt

A fascinating and open question challenging biochemistry, physics and even geometry is the presence of highly regular motifs such as alpha-helices in the folded state of biopolymers and proteins. Stimulating explanations ranging from…

统计力学 · 物理学 2009-10-31 Amos Maritan , Cristian Micheletti , Jayanth R. Banavar

We study the translocation of a semiflexible polymer through extended pores with patterned stickiness, using Langevin dynamics simulations. We find that the consequence of pore patterning on the translocation time dynamics is dramatic and…

软凝聚态物质 · 物理学 2018-05-02 Rajneesh Kumar , Abhishek Chaudhuri , Rajeev Kapri

A phenomenological model hamiltonian to describe the folding of a protein with any given sequence is proposed. The protein is thought of as a collection of pieces of helices; as a consequence its configuration space increases with the…

软凝聚态物质 · 物理学 2009-10-30 Pierpaolo Bruscolini

We study the energy structure and the transfer of an extra electron or hole along periodic polymers made of $N$ monomers, with a repetition unit made of $P$ monomers, using a Tight-Binding wire model, where a site is a monomer (e.g., in…

软凝聚态物质 · 物理学 2018-09-19 K. Lambropoulos , C. Vantaraki , P. Bilia , M. Mantela , C. Simserides

Textual analysis of typical microbial genomes reveals that they have the statistical characteristics of a DNA sequence of a much shorter length. This peculiar property supports an evolutionary model in which a genome evolves by random…

生物物理 · 物理学 2009-11-07 L. C. Hsieh , L. F. Luo , F. M. Ji , H. C. Lee

The presence of phenomena analogous to phase transition in Statistical Mechanics, has been suggested in the evolution of a polygenic trait under stabilizing selection, mutation and genetic drift. By using numerical simulations of a model…

种群与进化 · 定量生物学 2017-02-13 Annalisa Fierro , Sergio Cocozza , Antonella Monticelli , Giovanni Scala , Gennaro Miele

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

分子网络 · 定量生物学 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley
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