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  Actin-Myosin Interaction
• Lung Physiology: Lung Dynamics and Aerosol Deposition in the Acinus
• Renal Physiology: Blood Flow, Hemodialysis and Acid-Base 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, supported by Grants from the National Science Foundation (NSF), National Institutes of Health (NIH), Department of Energy (DoE), and the University of Vermont.

Contact Info
Office:
Phone: 802-656-3832
Email: dbentil@uvm.edu