Biomathematics Research
Our research interest
is at the interface of applied mathematics and the biomedical
sciences, including designing appropriate mathematics courses for
life science majors. We study and construct testable mathematical
models, which capture key biological processes and show how they are
orchestrated. We work in collaboration with experimentalists. Model applications
include the following topics:
 Muscle Physiology: Mesoscopic
Modeling of ActinMyosin Interaction

Lung Physiology: Lung Dynamics and
Aerosol Deposition in the Acinus

Renal Physiology: Blood Flow,
Hemodialysis and AcidBase Balance in ESRD
Patients.
Particular emphasis is placed on (i) development of
analytical and numerical techniques for the solution of the model
equations (ii) biological interpretation of the results in terms of
insights and predictions (iii) model comparison with experimental
data and (iv) model refinements as they apply to specific biomedical
problems.
Our work is, in part, being supported by Grants from the
National Science Foundation (NSF), National Institutes of Health (NIH),
Department of Energy (DoE), and the University of Vermont.
