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

MATH 8505 - Advanced Mathematical Biology


3 Credit Hours
Prerequisites: Grade of C or higher in MATH 6010  (BIOL 6930 ) or MATH 6275  or MATH 8510 , or with permission from the instructor.
Description
Cross-listed with NEUR 8395  and Biol 8505. This graduate level course extends mathematical methods and models of biological systems, covered in Math 4010/6010 (BIOL 6930 ) “Mathematical Biology”. The main focus will be on multidimensional and spatial models of biological systems. The topics will include the dispersal of biological populations and age structure on population growth; rates of spread of invading organisms and population persistence; branching random walks and chain reactions; stochastic and Markov models of biological systems; cellular automata models with deterministic and stochastic rules, related to the infectious disease transmission and control; the Game of Life, and pattern formation in biological networks of different nature.