(candidate for the Numerical Analysis position)
Dr. Scott Stevens
Department of Mathematics
University of Vermont
Compartmental Models of Biological Fluid Dynamics
Compartmental models provide an attractive means of studying biological fluid dynamics. In this modeling approach, fluid and matter within the system being investigated are subdivided into a number of interacting subunits (compartments). The dynamics in each compartment are specified by spatially-averaged, time-dependent functions. This spatial averaging results in a system of ordinary, differential equations describing the temporal evolution of compartmental properties such as pressure, volume, and fluid discharge. The history of this technique, in the study of intracranial pressure dynamics, dates back to the late 1700's. The first half of this talk will give a general overview of this approach with some examples of the types of problems I have been involved with over the past few years. The second half will be devoted to a specific example of a relatively simple model describing the pressure-volume relationship of the intracranial cerebrospinal fluid.
Wednesday, 15 March 2000
4:10 p.m. in Math 109
Coffee/treats at 3:30 p.m. Math 104 (lounge)
Spring 2000 Colloquium Schedule | Mathematical Sciences home | The University of Montana home