Kinetic Modelling of Colonies of Myxobacteria
Explore kinetic modeling of myxobacteria colonies, examining cell-cell interactions and emergent behaviors through Boltzmann-type equations, mathematical analysis, and numerical simulations.
Phase Separation in Active Brownian Particles
Explore models of active matter systems, focusing on motility-induced phase separation in self-propelled particles and the resulting macroscopic PDEs.
Instabilities and Geometry of Growing Epithelial Tissues
Explore instabilities and geometry in growing epithelial tissues, focusing on key concepts and recent research findings in this fascinating field of biophysics.
On the Stability of Oscillations in Rheological Models with Delay and Viscous Friction During Morphogenesis
Explore rheological models with delay and viscous friction in morphogenesis, analyzing stability and oscillations in embryonic tissues, particularly in Drosophila CNS development.
On the Incompressible Limit for a Tumour Growth Model Incorporating Convective Effects
Explore mathematical modeling of tumor growth with convective effects, focusing on the incompressible limit and its connection to free-boundary problems.
Range Dynamics for a Spatially Structured Asexual Population
Explore range dynamics of spatially structured populations, considering spatial propagation and evolutionary dynamics in heterogeneous environments.
Ancestors' Genetic Weights in Biparental Populations
Explore genetic composition in biparental populations using a Moran model. Analyze ancestral genome proportions and their convergence as population size increases.
Quantifying the Evolutionary Advantage of Recombination in Finite Populations
Explore the evolutionary benefits of recombination in finite populations, focusing on analytical and simulation results for diploid organisms and the effects of inbreeding and transposable elements.
Selective Sweeps in Populations with Seed Banks
Explore the impact of seed dormancy on beneficial allele fixation and genomic signatures of selective sweeps in plant populations with overlapping generations.
Ancestral Lineages in Mutation Selection Equilibria with Moving Optimum
Explore phenotypic adaptation in populations facing environmental changes through ancestral lineage analysis, using deterministic models and Markov processes to reveal evolutionary dynamics.
Polygenic Local Adaptation in Sub-Divided Populations: Effects of Linkage Disequilibria and Genetic Drift
Explore polygenic local adaptation in subdivided populations, analyzing effects of linkage disequilibria and genetic drift on environmental adaptation and hybridization dynamics.
The Evolution of Age-Specific Choosiness and Reproductive Isolation in Overlapping Generations
Explore the evolution of age-specific mate choice and its impact on speciation in populations with overlapping generations through mathematical modeling.
Filling the Gap Between Individual-Based Evolutionary Models and Hamilton-Jacobi Equations
Explore Hamilton-Jacobi equations in quantitative genetics, bridging stochastic individual-based models and phenotypic density analysis through asymptotic derivations and population dynamics.
Evolution in Space: The Role of Complex Spatial Topology in Shaping Evolutionary Dynamics
Explore complex spatial topology's impact on evolutionary dynamics, examining mode and tempo in diverse environments.
Adaptation in a Heterogeneous Environment - A Host in the Middle
Explore nonlocal reaction-diffusion equations modeling adaptation dynamics in multi-patch environments. Analyze persistence, extinction, and the impact of migration and host addition on fitness.
The Best of Both Worlds: Combining Population Genetics and Quantitative Genetics Models
Explore a novel methodology combining major locus and quantitative background effects in migration-selection balance, revealing complex genetic architecture patterns and unexpected polymorphism loss.
Density-Dependent Diffusion in Expanding Phage Populations
Explore density-dependent diffusion in expanding phage populations, examining pulled vs. pushed waves and the impact on viral evolution and adaptability.
Evolution of Dispersal in Spatially Heterogeneous Environments - Dockery's Problem
Explore the evolution of dispersal in heterogeneous environments through mathematical models, focusing on recent advancements in diffusion-competition systems and selection-mutation models.
A Neural Mass Model for Abnormal Beta-Rebound in Schizophrenia
Explore a neural mass model examining abnormal beta-rebound in schizophrenia, presented by experts from the University of Nottingham at Institut Henri Poincaré.
A Multiple Time Renewal Equation for Neural Assemblies with Elapsed Time Model
Explore neural assemblies through a multiple time renewal equation, focusing on the elapsed time model and its implications for understanding brain dynamics.
Fokker-Planck Equations of Neuron Networks: Understanding Time Periodic Solutions
Explore Fokker-Planck equations in neuron networks, focusing on time periodic solutions and their implications for neural dynamics.