Transition from Fractional Diffusion to Normal Diffusion in Kinetic Models
Explore the transition between fractional and normal diffusion in kinetic models, examining mathematical principles and applications in complex systems.
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.
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.
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.
The Non-Linear Dynamics of Retinal Waves
Explore the complex dynamics of retinal waves, uncovering their non-linear behavior and implications for visual system development.
Noise-Driven Bifurcations in Neural Field Systems Modeling Grid Cell Networks
Explore noise-driven bifurcations in neural field systems, focusing on grid cell network modeling and their implications for spatial navigation.
Projection Methods for Neurobiological Networks
Explore projection techniques for analyzing complex neurobiological networks, focusing on applications in neuroscience research and computational modeling.
Propagation of Chaos and Poisson Hypothesis for Replica Mean-Field Models
Explore propagation of chaos and Poisson hypothesis in replica mean-field models, delving into advanced statistical physics concepts.
Metastable Spiking Networks in the Replica-Mean-Field Limit
Explore metastable spiking networks in the replica-mean-field limit, focusing on advanced concepts in neural dynamics and statistical physics.
Time Averages of a Metastable System of Spiking Neurons
Explore metastable systems of spiking neurons and their time averages in this concise neuroscience lecture by Morgan André.