Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences
From MaRDI portal
Publication:520500
DOI10.1007/s00033-016-0690-7zbMath1364.35380OpenAlexW2505881435MaRDI QIDQ520500
Barry D. Hughes, Tommaso Lorenzi, Laurent Desvillettes, Rebecca H. Chisholm
Publication date: 3 April 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10023/11328
Problems related to evolution (92D15) Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Integro-partial differential equations (35R09)
Related Items
Why Is Evolution Important in Cancer and What Mathematics Should Be Used to Treat Cancer? Focus on Drug Resistance ⋮ A mathematical model to study the impact of intra-tumour heterogeneity on anti-tumour CD\(8^+\) T cell immune response ⋮ Replicator-mutator equations with quadratic fitness ⋮ Dynamical Patterns of Coexisting Strategies in a Hybrid Discrete-continuum Spatial Evolutionary Game Model ⋮ A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels ⋮ Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks ⋮ Redundancy-selection trade-off in phenotype-structured populations ⋮ Evolutionary dynamics in vascularised tumours under chemotherapy: mathematical modelling, asymptotic analysis and numerical simulations ⋮ A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer ⋮ Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments ⋮ Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment ⋮ Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors ⋮ A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours ⋮ Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model ⋮ Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy ⋮ A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response ⋮ Discrete and Continuum Models for the Evolutionary and Spatial Dynamics of Cancer: A Very Short Introduction Through Two Case Studies
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effects of an advection term in nonlocal Lotka-Volterra equations
- Evolution of genetic instability in heterogeneous tumors
- Dynamics of sexual populations structured by a space variable and a phenotypical trait
- Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking
- On selection dynamics for competitive interactions
- Asymptotic dynamics in continuous structured populations with mutations, competition and mutualism
- Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
- Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments
- Asymptotic analysis of a selection model with space
- On selection dynamics for continuous structured populations
- Existence of nontrivial steady states for populations structured with respect to space and a continuous trait
- Time fluctuations in a population model of adaptive dynamics
- Long time evolution of populations under selection and Vanishing mutations
- Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
- Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
- Travelling waves for the cane toads equation with bounded traits
- Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations
- Classifying the role of trade-offs in the evolutionary diversity of pathogens
- Dirac concentrations in Lotka-Volterra parabolic PDEs
- Rare Mutations Limit of a Steady State Dispersal Evolution Model
- Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration
- Asymptotics of steady states of a selection–mutation equation for small mutation rate
- Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait
