May 19, 2024  
2021-2022 Graduate Catalog 
    
2021-2022 Graduate Catalog [ARCHIVED CATALOG]

MATH 8525 - Applied Stochastic Processes


3 Credit Hours
Prerequisites: MATH 4752/MATH 6752  and MATH 4010/MATH 6010 .
Description
This course deals with stochastic processes taking place at different spatial and temporal scales, with the emphasis on simulation and analysis of biological processes. Topics include Probabilistic and deterministic models, Discrete and Continuous Probability Distributions, Poisson processes, Discrete and Continuous Markov Chains, Discrete Time Branching Processes, Continuous Birth and Death Processes, Population Dynamics, and Stochastic Differential Equations. The potential biological applications include logistic growth processes, epidemic models, enzyme kinetics, competition processes, stochastic ion channels and random walk models for neural spike trains.