Physiological Gels Research Group
Recent Publications
Fibrin
V. Camacho, A. L. Fogelson, and J. P. Keener, Eulerian-Lagrangian treatment of non-dilute two-phase gels, SIAM J. Appl. Math., 76 (2016), 341—367.
A. L. Fogelson and J. P. Keener, A Framework for Exploring the Post-gelation Behavior of Ziff and Stell's Polymerization Models, SIAM Journal on Applied Mathematics, 75-3 (2015), 1346—1368.
Aaron Fogelson and 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 Journal of Applied Mathematics, 71 (2011), 854—875.
James P. Keener, Sarthok Sircar, and Aaron L. Fogelson Influence of the standard free energy on swelling kinetics of gels Physical Review E 83 (2011).
S. Sircar, J. P. Keener, and A. L. Fogelson, The Effect of Divalent vs. Monovalent ions on the Swelling of Mucin-like Polyelectrolyte Gels, Journal of Chemical Physics, 138 (2013).
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, 67 (2010) 1799—1817.
Blood Clotting
B. E. Bannish, J. P. Keener, M. Woodbury, J. Weisel and A. L. Fogelson, Modelling Fibrinolysis: 1-D Continuum Models, Mathematical Medicine and Biology, 31 (2014), 45—64.
B. E. Bannish, J. P. Keener, and A. L. Fogelson, Modelling Fibrinolysis: A 3-Dimensional Stochastic Multiscale Model, Mathematical Medicine and Biology, 31 (2014), 17—44.
Karin Leiderman and 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.
