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Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

Analysis of PDEs · Mathematics 2024-06-12 Valentina Bucur , Bakhtier Vasiev

Mutations are typically classified by their effects on the nucleotide sequence and by their size. Here, we argue that if our main aim is to understand the effect of mutations on evolutionary outcomes (such as adaptation or speciation), we…

Other Quantitative Biology · Quantitative Biology 2020-09-30 Emma L. Berdan , Alexandre Blanckaert , Tanja Slotte , Alexander Suh , Anja M. Westram , Inês Fragata

In this communication, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effects. We focus on both the…

Pattern Formation and Solitons · Physics 2015-05-25 J. Cuevas , P. G. Kevrekidis

We present a statistical model of bacterial evolution based on the coupling between codon usage and tRNA abundance. Such a model interprets this aspect of the evolutionary process as a balance between the codon homogenization effect due to…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Pietro Lio'

The non-equilibrium phase transition in models for epidemic spreading with long-range infections in combination with incubation times is investigated by field-theoretical and numerical methods. Here the spreading process is modelled by…

Statistical Mechanics · Physics 2007-05-23 Julian Adamek , Michael Keller , Arne Senftleben , Haye Hinrichsen

Viruses evolve in the background of host immune systems that exert selective pressure and drive viral evolutionary trajectories. This interaction leads to different evolutionary patterns in antigenic space. Examples observed in nature…

Populations and Evolution · Quantitative Biology 2020-11-20 Jacopo Marchi , Michael Lässig , Thierry Mora , Aleksandra M. Walczak

Our recent progress on time-dependent modeling of the multiwavelength spectra and variability of blazars with leptonic and hadronic jet models is reviewed. Special emphasis is placed on X-ray spectral variability of low-frequency peaked…

Astrophysics · Physics 2007-05-23 M. Boettcher

Gene sequences of a deme evolve over time as new chromosome inversions appear in a population via mutations, some of which will replace an existing sequence. The underlying biochemical processes that generates these and other mutations are…

Biological Physics · Physics 2022-06-22 B. K. Clark

The relationship between short-term exposure to air pollution and mortality or morbidity has been the subject of much recent research, in which the standard method of analysis uses Poisson linear or additive models. In this paper we use a…

Applications · Statistics 2012-01-27 Duncan Lee , Gavin Shaddick

An evolving yeast colony is simulated by means of a cellular automaton that takes care of many important features of the system under study. A complete survey of the properties of the colony is done and a set of scaling relations is found,…

Statistical Mechanics · Physics 2007-05-23 Lorenzo Fortunato

The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and the evolution of cell equilibrium shapes as a result of cell…

Cell Behavior · Quantitative Biology 2021-04-27 Qiyao Peng , Fred Vermolen , Daphne Weihs

We considered a {multi-block} molecular model of biological evolution, in which fitness is a function of the mean types of alleles located at different parts (blocks) of the genome. We formulated an infinite population model with selection…

Populations and Evolution · Quantitative Biology 2015-06-12 David B. Saakian , Zara Kirakosyan , Chin-Kun Hu

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

We introduce a model called Host-Pathogen game for studying biological competitions. Notably, we focus on the invasive dynamics of external agents, like bacteria, within a host organism. The former are mapped to a population of defectors…

Populations and Evolution · Quantitative Biology 2018-09-03 Marco Alberto Javarone

Laboratory experiments with bacterial colonies, under well-controlled conditions often lead to evolutionary diversification, where at least two ecotypes emerge from an initially monomorphic population. Empirical evidence suggests that such…

Populations and Evolution · Quantitative Biology 2024-11-06 Roberto Corral López , Samir Suweis , Sandro Azaele , Miguel A. Muñoz

Evolutionary models measure the probability of amino acid substitutions occurring over different evolutionary distances. We examine various evolutionary models based on empirically derived amino acid substitution matrices. The models are…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Barbiellini , Alexandra Portnova , Anna Chetoukhina , Chia-Hsin Lu , Matteo Pellegrini

A key problem in computational biology is discovering the gene expression changes that regulate cell fate transitions, in which one cell type turns into another. However, each individual cell cannot be tracked longitudinally, and cells at…

Machine Learning · Computer Science 2022-07-12 Yichen Gu , David Blaauw , Joshua Welch

Cancer progression is an evolutionary process that is driven by mutation and selection in a population of tumor cells. We discuss mathematical models of cancer progression, starting from traditional multistage theory. Each stage is…

Populations and Evolution · Quantitative Biology 2011-08-31 Moritz Gerstung , Niko Beerenwinkel

We present a proof-of-concept of a model comparison approach for analyzing spatio-temporal observations of interacting populations. Our model variants are a collection of structurally similar Bayesian networks. Their distinct Noisy-Or…

Methodology · Statistics 2024-10-08 Nat Kendal-Freedman , Joseph Victor Fiorillo Meleshko , Aaron Yip , Brian Ingalls

Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. Recent mathematical models are aimed at studying dynamics of some specific types of infectious diseases. In…

Dynamical Systems · Mathematics 2015-02-05 P. Raja Sekhara Rao , M. Naresh Kumar