Mean first passage times for transport equations

Sums of independent random variables; random walks (60G50) Stopping times; optimal stopping problems; gambling theory (60G40) Integro-differential operators (47G20) Mathematical biology in general (92B99) Initial-boundary value problems for PDEs of mixed type (35M13) Transport equations (35Q49)

Cites Work

Unnamed Item
Cell directional and chemotaxis in vascular morphogenesis
Glioma follow white matter tracts: a multiscale DTI-based model
Moments of von Mises and Fisher distributions and applications
On the \(L^2\)-moment closure of transport equations: the general case
Models of dispersal in biological systems
First passage time analysis of animal movement and insights into the functional response
\(M^5\) mesoscopic and macroscopic models for mesenchymal motion
Biased random walk models for chemotaxis and related diffusion approximations
The Boltzmann equation and its applications
The mathematical theory of dilute gases
Limit sets for multidimensional nonlinear transport equations
A patient-specific anisotropic diffusion model for brain tumour spread
Aggregation of biological particles under radial directional guidance
Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment
Mean first passage time for diffuse and rest search in a confined spherical domain
Mathematical modeling accurately predicts the dynamics and scaling of nuclear growth in discrete cytoplasmic volumes
Modelling cell migration strategies in the extracellular matrix
Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion
Asymptotic analysis of first passage time problems inspired by ecology
A Guide to First-Passage Processes
The Diffusion Limit of Transport Equations II: Chemotaxis Equations
An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
Transport and Anisotropic Diffusion Models for Movement in Oriented Habitats
MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
Particle, kinetic, and hydrodynamic models of swarming
Mean first passage times for piecewise deterministic Markov processes and the effects of critical points
The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
Numerical Approximation of Diffusive Capture Rates by Planar and Spherical Surfaces with Absorbing Pores
Some stochastic processes which arise from a model of the motion of a bacterium
First passage time moments of asymmetric Lévy flights
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting
The Narrow Escape Problem
Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps
Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles

This page was built for publication: Mean first passage times for transport equations