Russell Carr
Russell Carr, Professor and Chair
Education
Ph.D., University of Rochester, 1984
B.S., Brigham Young University, 1980
Research Interests:
My research focuses on blood rheology in microvessel networks. I am interested in Fahreus effect (reduction in blood cell concentration in small bore vessels), the Fahreus-Lindqvist effect (reduction in apparent viscosity in small bore vessels) and plasma skimming (the separation of cellular and plasma phases that occurs at the junction of small bore vessels. Currently I am working on a model of blood flow through networks which incorporate each of these rheological effects. Computational results present interesting nonlinear dynamics including fixed point attractors, limit cycles, and changes in the character and geometry of the attractor akin to period doubling. Experimental measurements are planned to verify these computational results.
Courses Taught:
- Blood rheology in microvessel networks, Cell Adhesion
Recent Publications:
- Nonlinear dynamics of microvascular blood flow. R.T. Carr and M. Lacoin. Annals of Biomedical Engineering, 26,641-652, 2000.
- Oscillations in a simple microvascular network. R.T. Carr, J.B. Geddes, and F. Wu. Annals of Biomedical Engineering. 33, 764-771, 2005.
- The onset of oscillations in microvascular blood flow. JB Geddes, RT Carr, N Karst, F Wu. SIAM Journal on Applied Dynamical Systems, 6(4):694-727, 2007.
- Gardner, D. Yiyang, L., Small B., Geddes, J.B., Carr, R.T., Multiple equilibrium states in a micro-vascular network. Mathematical BioSciences 227(2):117-124, 2010 doi:10.1016/j.mbs.2010.07.001
- Geddes, J.B., Carr R.T., Wu, F. Lao, Y., Maher, M., Blood flow in microvascular networks: A study in nonlinear biology. Chaos 20(4) article 045123 doi:10.1063/1.3530122