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The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbers regime. So far, an explicit solution has seemed out of…

Probability · Mathematics 2023-04-26 Ellen Baake , Frederic Alberti

Spintronics is the ability of injecting, manipulating and detecting electron spins into solid state systems. Molecular-electronics investigates the possibility of making electronic devices using organic molecules. Traditionally these two…

Materials Science · Physics 2007-05-23 Stefano Sanvito , Alexandre Reily Rocha

Rhythmic and sequential segmentation of the embryonic body plan is a vital developmental patterning process in all vertebrate species. However, a theoretical framework capturing the emergence of dynamic patterns of gene expression from the…

Biological Physics · Physics 2016-10-12 David J. Jörg , Andrew C. Oates , Frank Jülicher

Simulation has become the evaluation method of choice for many areas of distributing computing research. However, most existing simulation packages have several limitations on the size and complexity of the system being modeled. Fine…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-01 Dobre Ciprian , Cristea Valentin , Iosif C. Legrand

In this paper we describe a new technique for the comparison of populations of DNA strands. Comparison is vital to the study of ecological systems, at both the micro and macro scales. Existing methods make use of DNA sequencing and cloning,…

Biomolecules · Quantitative Biology 2008-07-02 Dennis Shasha , Martyn Amos

Molecular docking is a key task in computational biology that has attracted increasing interest from the machine learning community. While existing methods have achieved success, they generally treat each protein-ligand pair in isolation.…

Biomolecules · Quantitative Biology 2025-01-28 Jiaqi Guan , Jiahan Li , Xiangxin Zhou , Xingang Peng , Sheng Wang , Yunan Luo , Jian Peng , Jianzhu Ma

We describe a 3D percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Lattice sites are designated as regular (healthy) cells, senescent…

Statistical Mechanics · Physics 2016-07-12 Vyacheslav Gorshkov , Vladimir Privman , Sergiy Libert

We review statistical-mechanical theories of single-molecule micromanipulation experiments on nucleic acids. First, models for describing polymer elasticity are introduced. We then review how these models are used to interpret…

Soft Condensed Matter · Physics 2007-05-23 S. Cocco , J. F. Marko , R. Monasson

Modelling the process of recombination leads to a large coupled nonlinear dynamical system. Here, we consider a particular case of recombination in {\em discrete} time, allowing only for {\em single crossovers}. While the analogous dynamics…

Populations and Evolution · Quantitative Biology 2011-01-12 Ute von Wangenheim , Ellen Baake , Michael Baake

We study the polyregular string-to-string functions, which are certain functions of polynomial output size that can be described using automata and logic. We describe a system of combinators that generates exactly these functions. Unlike…

Logic in Computer Science · Computer Science 2023-04-27 Mikołaj Bojańczyk

We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling,…

Probability · Mathematics 2014-05-06 John K. McSweeney , Lea Popovic

Systems with long-range interactions when quenced into a metastable state near the pseudo-spinodal exhibit nucleation processes that are quite different from the classical nucleation seen near the coexistence curve. In systems with…

Materials Science · Physics 2009-11-07 W. Klein , T. Lookman , A. Saxena , D. Hatch

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. First, we introduce a new theoretical framework, reaction-diffusion system on `chemical species…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

Motivated by experiments in which single DNA molecules are stretched and twisted we consider a perturbative approach around very high forces, where we determine the writhe distribution in a simple, analytically tractable model. Our results…

Soft Condensed Matter · Physics 2009-11-10 Supurna Sinha

A small fraction of all protein structures characterized so far are entangled. The challenge of understanding the properties of these knotted proteins, and the why and the how of their natural folding process, has been taken up in the past…

Biomolecules · Quantitative Biology 2019-06-21 Ana Nunes , Patrícia FN Faísca

Because of the double-helical structure of DNA, in which two strands of complementary nucleotides intertwine around each other, a covalently closed DNA molecule with no interruptions in either strand can be viewed as two interlocked…

Biomolecules · Quantitative Biology 2015-05-13 Lauren A. Britton , Wilma K. Olson , Irwin Tobias

It is known that the majority of the human genome consists of repeated sequences. Furthermore, it is believed that a significant part of the rest of the genome also originated from repeated sequences and has mutated to its current form. In…

Information Theory · Computer Science 2014-01-21 Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

Machine Learning · Computer Science 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

Cell adhesion proteins are transmembrane proteins that bind cells to their environment. These proteins typically cluster into disk-shaped or linear structures. Here we show that such clustering patterns spontaneously emerge when the protein…

Soft Condensed Matter · Physics 2023-07-10 Shao-Zhen Lin , Rishita Changede , Michael P. Sheetz , Jacques Prost , Jean-Francois Rupprecht

Eukaryotic cells are often exposed to fluctuations in growth conditions as well as endogenous and exogenous stress-related agents. In addition, during development global patterns of gene transcription change dramatically, and these changes…

Genomics · Quantitative Biology 2008-12-23 John Herrick