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It is estimated that approximately 15% of cancers worldwide can be linked to viral infections. The viruses that can cause or increase the risk of cancer include human papillomavirus, hepatitis B and C viruses, Epstein-Barr virus, and human…

Genomics · Quantitative Biology 2023-08-30 Shorya Consul , John Robertson , Haris Vikalo

Extrachromosomal DNA (ecDNA) can drive oncogene amplification, gene expression and intratumor heterogeneity, representing a major force in cancer initiation and progression. The phenomenon becomes even more intricate as distinct types of…

Populations and Evolution · Quantitative Biology 2025-04-24 Elisa Scanu , Benjamin Werner , Weini Huang

Epidemiological evidence suggests that simultaneous exposures to multiple environmental risk factors (Es) can increase disease risk larger than the additive effect of individual exposure acting alone. The interaction between a gene and…

Methodology · Statistics 2022-09-02 Shunjie Guan , Mingtao Zhao , Yuehua Cui

We study the SIR epidemic model with infections carried by $k$ particles making independent random walks on a random regular graph. Here we assume $k\leq n^{\epsilon}$, where $n$ is the number of vertices in the random graph, and $\epsilon$…

Probability · Mathematics 2015-03-18 Mohammed Abdullah , Colin Cooper , Moez Draief

When modelling HIV epidemics, it is important to incorporate set-point viral load and its heritability. As set-point viral load distributions can differ significantly amongst epidemics, it is imperative to account for the observed local…

Populations and Evolution · Quantitative Biology 2018-11-28 Pieter Libin , Laurens Hernalsteen , Kristof Theys , Perpetua Gomes , Ana Abecasis , Ann Nowe

We investigate the selective forces that promote the emergence of modularity in nature. We demonstrate the spontaneous emergence of modularity in a population of individuals that evolve in a changing environment. We show that the level of…

Molecular Networks · Quantitative Biology 2009-11-13 Jiankui He , Jun Sun , Michael W. Deem

Because of its relevance to everyday life, the spreading of viral infections has been of central interest in a variety of scientific communities involved in fighting, preventing and theoretically interpreting epidemic processes. Recent…

When a biological population expands into new territory, genetic drift develops an enormous influence on evolution at the propagating front. In such range expansion processes, fluctuations in allele frequencies occur through stochastic…

Biological Physics · Physics 2018-12-24 Sherry Chu , Mehran Kardar , David R. Nelson , Daniel A. Beller

We investigate a randomly evolving process of subgraphs in an underlying host graph using the spectral theory of semigroups related to the Tsetlin library and hyperplane arrangements. Starting with some initial subgraph, at each iteration,…

Combinatorics · Mathematics 2025-09-25 Fan Chung , Sawyer Jack Robertson

Evolving systems, be it an antibody repertoire in the face of mutating pathogens or a microbial population exposed to varied antibiotics, constantly search for adaptive solutions in time-varying fitness landscapes. Generalists correspond to…

Biological Physics · Physics 2020-07-01 Shenshen Wang , Lei Dai

RNA viruses exist as genetically diverse populations displaying different phenotypes, including diverse degrees of virulence. The evolution of virulence in viral populations is, however, poorly understood. Based on the experimental…

Populations and Evolution · Quantitative Biology 2015-03-17 Samuel Ojosnegros , Edgar Delgado-Eckert , Niko Beerenwinkel

Competition between random genetic drift and natural selection plays a central role in evolution: Whereas non-beneficial mutations often prevail in small populations by chance, mutations that sweep through large populations typically confer…

Populations and Evolution · Quantitative Biology 2009-11-13 Oskar Hallatschek , Pascal Hersen , Sharad Ramanathan , David R. Nelson

Hepatitis B virus (HBV) is considered as etiological agent of the lethal liver disease hepatitis B. Globally, hepatitis B is recognized as one of the prevailing infectious diseases with a significant impact on human health. In spite of…

Quantitative Methods · Quantitative Biology 2024-11-19 Rupchand Sutradhar , Gopinath Sadhu , D C Dalal

Defective interfering particles (DIPs) are virus-like particles that occur naturally during virus infections. These particles are defective, lacking essential genetic materials for replication, but they can interact with the wild-type virus…

Quantitative Methods · Quantitative Biology 2024-02-16 Qiantong Liang , Johnny Yang , Wai-Tong Louis Fan , Wing-Cheong Lo

Early estimates of the transmission properties of a newly emerged pathogen are critical to an effective public health response, and are often based on limited outbreak data. Here, we use simulations to investigate a potential source of bias…

Populations and Evolution · Quantitative Biology 2022-11-17 Thomas Harris , Nicholas Geard , Cameron Zachreson

The incubation period of a disease is the time between an initiating pathologic event and the onset of symptoms. For typhoid fever, polio, measles, leukemia and many other diseases, the incubation period is highly variable. Some affected…

Populations and Evolution · Quantitative Biology 2017-06-01 Bertrand Ottino-Loffler , Jacob G. Scott , Steven H. Strogatz

Human to human transmissible infectious diseases spread in a population using human interactions as its transmission vector. The early stages of such an outbreak can be modeled by a graph whose edges encode these interactions between…

Populations and Evolution · Quantitative Biology 2020-06-11 Goncalo Oliveira

We introduce EVE (Elemental Variational Expanse), a variational distributional neuron formulated as a local probabilistic computational unit with an explicit prior, an amortized posterior, and unit-level variational regularization. In most…

Machine Learning · Computer Science 2026-03-17 Yves Ruffenach

We consider a general mathematical model of a within-host viral infection with $n$ virus strains and explicit age-since-infection structure for infected cells. In the model, multiple virus strains compete for a population of target cells.…

Populations and Evolution · Quantitative Biology 2014-05-28 Cameron J. Browne

Many physical and natural systems, including the population of species, evolve in habitats with spatial stochastic variations of the individuals' motility. We study here the effect of those fluctuations on invasion and genetic loss. A…

Populations and Evolution · Quantitative Biology 2019-08-08 Youness Azimzade , Mahdi Sasar , Víctor M. Pérez García