Multiscale Modeling in Biology
Mark S. Alber
Department of Mathematics
University of Notre Dame
A multiscale model of blood clot formation will be described which combines a detailed tissue factor pathway submodel of blood coagulation, a blood flow submodel and a stochastic discrete cell submodel [1,2]. It will be shown that low levels of FVII in blood result in a significant delay in thrombin production demonstrating that FVII plays an active role in promoting clot development at an early stage. We will also describe a new subcellular element method for simulating cellular blood components. In addition, multiscale models of chemotactic cell motion  and bacterial swarming will be discussed .
1. Xu, Z., J. Lioi, J. Mu, X. Liu, M.M. Kamocka, E.D. Rosen, D.Z. Chen and M.S. Alber, A Multiscale Model of Venous Thrombus Formation with Surface-Mediated Control of Blood Coagulation Cascade, Biophysical Journal (to appear).
2. Xu, Z., Chen, N., , Kamocka, M.M., Rosen, E.D., and M.S. Alber , Multiscale Model of Thrombus Development, Journal of the Royal Society Interface 5 705-722.
3. Lushnikov, P.P., Chen, N., and M.S. Alber , Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact, Phys. Rev. E. 78, 061904
4. Wu, Y., Jiang, Y., Kaiser, D., and M. Alber , Periodic reversal of direction allows Myxobacteria to swarm, Proc. Natl. Acad. Sci. USA 106 4 1222-1227 (featured in the Nature News, January 20th, 2009, doi:10.1038/news.2009.43).