Physiological Gels Research Group
Recent Publications
Fibrin
Aaron Fogelson, James Keener, 'Toward an understanding of fibrin branching structure', Physical Review E, 81, (2010), doi: 10.1103/PhysRevE81.051922.
Robert Guy, Aaron Fogelson, James Keener, `Fibrin gel formation in a shear flow', Mathematical Medicine and Biology, 24(2007), 111-130.
Mucin exocytosis
J. P. Keener, S. Sircar and A. L. Fogelson, Kinetics of swelling gels, SIAM J. Appl. Math. 71, pp. 854-875 (2011).
James P. Keener, Sarthok Sircar, and Aaron L. Fogelson Influence of the standard free energy on swelling kinetics of gels Phys. Rev. E 83, 041802 (2011).
Sarthok Sircar, James P. Keener and Aaron Fogelson, Modeling the effect of counter-ion valence on the swelling kinetics of a polyelectrolyte gel , in preparation.
Gastric Protection
Frank Lynch and J. P. Keener, Transport of Gastric Juice Through the Gastric Mucus Layer, in Preparation.
Numerical Methods
G.B. Wright, R.D. Guy, A.L. Fogelson, An efficient and robust method for simulating two-phase gel dynamics, SIAM J. Sci. Comput., 30 (2008), 2535-65.
J. Du, A.L. Fogelson, G.B. Wright, A parallel computational method for simulating two-phase gel dynamics on a staggered grid, Int. J. Numer. Meth. Fluids, 60 (2009) 633–649.
J. Du, A.L. Fogelson, A Cartesian grid method for two-phase gel dynamics on an irregular domain, Int. J. Numer. Meth. Fluids, to appear.
Blood Clotting
Karin Leiderman, Aaron Fogelson, 'Grow with the Flow: A spatial-temporal model of coagulation and platelet deposition under flow', Mathematical Medicine and Biology, (2010).
Aaron Fogelson and Robert Guy, 'Immersed-Boundary-Type Models of Intravascular Platelet Aggregation', Computer Methods in Applied Mechanics and Engineering, 197 (2008), 2087-2104.
Aaron Fogelson and Robert Guy, `Platelet-Wall Interactions in Continuum Models of Platelet Aggregation: Formulation and Numerical Solution', Mathematical Biology and Medicine, 21, (2004), 293-334.
Andrew Kuharsky and Aaron Fogelson, `Surface-mediated Control of Blood Coagulation: The Role of Binding Site Densities and Platelet Deposition' Biophysical Journal, 80, (2001), 1050-1074.
