Hyperbolic Systems and Transport Equations in Mathematical Biology

摘要: The standard models for groups of interacting and moving individuals (from cell biology to vertebrate population dynamics) are reaction-diffusion models. They base on Brownian motion, which is characterized by one single parameter (diffusion coefficient). In particular bacteria (slime mold) amoebae, detailed information individual movement behavior available (speed, run times, turn angle distributions). If such entered into populations, then reaction-transport equations or hyperbolic (telegraph equations, damped wave equations) result.