Stochastic models for cell motion and taxis

摘要: Certain biological experiments investigating cell motion result in time lapse video microscopy data which may be modeled using stochastic differential equations. These models suggest statistics for quantifying experimental results and testing relevant hypotheses, carry implications the qualitative behavior of cells underlying biophysical mechanisms. Directional response to a stimulus, termed taxis, has previously been at phenomenological level Keller-Segel diffusion equation. The model cannot distinguish certain modes this motivates introduction richer class is nevertheless still amenable statistical analysis. A state space formulation used link proposed velocity observed data. Sequential Monte Carlo methods enable parameter estimation via maximum likelihood range applicable models. One particular situation, involving effect an electric field on behavior, considered detail. In case, Ornstein- Uhlenbeck found compare favorably with nonlinear model.