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Deterministic continuum models formulated in terms of non-local partial differential equations for the evolutionary dynamics of populations structured by phenotypic traits have been used recently to address open questions concerning the…

Populations and Evolution · Quantitative Biology 2020-10-14 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

Cells generally change their internal state to adapt to an environmental change, and accordingly evolve in response to the new conditions. This process involves phenotypic changes that occur over several different time scales, ranging from…

Populations and Evolution · Quantitative Biology 2015-02-03 Chikara Furusawa , Kunihiko Kaneko

Generative models derived from large protein sequence alignments define complex fitness landscapes, but their utility for accurately modeling non-equilibrium evolutionary dynamics remains unclear. In this work, we perform a rigorous…

Populations and Evolution · Quantitative Biology 2026-02-10 Leonardo Di Bari , Thierry Mora , Andrea Pagnani , Aleksandra M. Walczak , Francesco Zamponi , Saverio Rossi

Phylodynamics seeks to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. One way to accomplish this task formulates an observed sequence data likelihood exploiting…

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

Characterization of pluripotent states, in which cells can both self-renew and differentiate, and the irreversible loss of pluripotency are important research areas in developmental biology. In particular, an understanding of these…

Molecular Networks · Quantitative Biology 2015-09-02 Tadashi Miyamoto , Chikara Furusawa , Kunihiko Kaneko

Ancestral sequence reconstruction is a key task in computational biology. It consists in inferring a molecular sequence at an ancestral species of a known phylogeny, given descendant sequences at the tip of the tree. In addition to its many…

Populations and Evolution · Quantitative Biology 2022-07-27 Brandon Legried , Sebastien Roch

Phenotypic heterogeneity along the epithelial-mesenchymal (E-M) axis contributes to cancer metastasis and drug resistance. Recent experimental efforts have collated detailed time-course data on the emergence and dynamics of E-M…

Analysis of PDEs · Mathematics 2023-09-19 Jules Guilberteau , Paras Jain , Mohit Kumar Jolly , Nastassia Pouradier Duteil , Camille Pouchol

The inference of phylogenetic networks, which model complex evolutionary processes including hybridization and gene flow, remains a central challenge in evolutionary biology. Until now, statistically consistent inference methods have been…

Populations and Evolution · Quantitative Biology 2025-10-14 Niels Holtgrefe , Elizabeth S. Allman , Hector Baños , Leo van Iersel , Vincent Moulton , John A. Rhodes , Kristina Wicke

Mounting evidence underscores the prevalent hierarchical organization of cancer tissues. At the foundation of this hierarchy reside cancer stem cells, a subset of cells endowed with the pivotal role of engendering the entire cancer tissue…

Applications · Statistics 2023-08-21 Shuli Chen , Yuman Wang , Da Zhou , Jie Hu

Genetic sequence data of pathogens are increasingly used to investigate transmission dynamics in both endemic diseases and disease outbreaks; such research can aid in development of appropriate interventions and in design of studies to…

Quantitative Methods · Quantitative Biology 2018-01-24 Hesam Montazeri , Susan Little , Niko Beerenwinkel , Victor DeGruttola

Most cellular phenotypes are genetically complex. Identifying the set of genes that are most closely associated with a specific cellular state is still an open question in many cases. Here we study the transcriptional profile of cellular…

Quantitative Methods · Quantitative Biology 2024-06-21 Alda Sabalic , Victoria Moiseeva , Andres Cisneros , Oleg Deryagin , Eusebio Perdiguero , Pura Muñoz-Canoves , Jordi Garcia-Ojalvo

Discovering evolutionary traits that are heritable across species on the tree of life (also referred to as a phylogenetic tree) is of great interest to biologists to understand how organisms diversify and evolve. However, the measurement of…

Connecting the dynamics of biomolecular networks to experimentally measurable cell phenotypes remains a central challenge in systems biology. Here we introduce a model-based definition of phenotype as a partial steady state that is…

Molecular Networks · Quantitative Biology 2026-02-18 Samuel Pastva , Kyu Hyong Park , Jordan C. Rozum , Van-Giang Trinh , Réka Albert

A novel mechanism for sympatric speciation that takes into account complex bio-processes within each individual organism is proposed. According to dynamical systems theory, organisms with identical genotypes can possess differentiated…

Condensed Matter · Physics 2007-05-23 Kunihiko Kaneko , Tetsuya Yomo

Multicellular organisms comprise a diverse collection of stable tissues built from different cell types. It remains unclear how large numbers of interacting cells can precisely coordinate their gene expression during tissue…

Biological Physics · Physics 2022-10-31 Matthew Smart , Anton Zilman

In this paper, we study the significance of ecological interactions and separation of birth and death dynamics in stochastic heterogeneous populations via general birth-death processes. Interactions can manifest through the birth dynamics,…

Populations and Evolution · Quantitative Biology 2025-07-03 Erin Beckman , Heyrim Cho , Linh Huynh

We formulate a general, high-dimensional kinetic theory describing the internal state (such as gene expression or protein levels) of cells in a stochastically evolving population. The resolution of our kinetic theory also allows one to…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Tom Chou

Phylogenetics is now fundamental in life sciences, providing insights into the earliest branches of life and the origins and spread of epidemics. However, finding suitable phylogenies from the vast space of possible trees remains…

Populations and Evolution · Quantitative Biology 2024-01-24 Matthew J Penn , Neil Scheidwasser , Joseph Penn , Christl A Donnelly , David A Duchêne , Samir Bhatt

We propose a data-driven approach to represent neuronal network dynamics as a Probabilistic Graphical Model (PGM). Our approach learns the PGM structure by employing dimension reduction to network response dynamics evoked by stimuli applied…

Neurons and Cognition · Quantitative Biology 2017-11-02 Hexuan Liu , Jimin Kim , Eli Shlizerman