Publications
- Elizondo P & Fogelson AL (2016). A Mathematical Model of Venous Thrombosis Initiation. Biophysical journal. Vol. 111, 2722-2734. Published, 12/01/2016.
- Leiderman K, Chang WC, Ovanesov M & Fogelson AL (2016). Synergy Between Tissue Factor and Exogenous Factor XIa in Initiating Coagulation. Arteriosclerosis, thrombosis, and vascular biology. Vol. 36, 2334-2345. Published, 10/01/2016.
- Zhang Q., Fogelson A.L. "MARS: AN ANALYTIC FRAMEWORK OF INTERFACE TRACKING VIA MAPPING AND ADJUSTING REGULAR SEMIALGEBRAIC SETS", SIAM J Numer Anal, 2016, 54, 530-560. Published, 03/2016.
- Camacho V, Fogelson A, Keener J, "Eulerian-Lagrangian Treatment ofo Nondilute Two-Phase Gels", SIAM J. Appl. Math., 2016, 76, 341-367. Published, 02/2016.
- Fogelson AL & Neeves KB (2015). Fluid Mechanics of Blood Clot Formation. Annual review of fluid mechanics. Vol. 47, 377-403. Published, 08/01/2015.
- Varun Shankar, Grady B. Wright, Robert M. Kirby and Aaron L. Fogelson, "Augmenting the immersed boundary method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows", Int. J. Numer. Meth. Fluids, 2015, 79, 536-57. Published, 07/2015.
- Fogelson, A.L. and Keener J.P., "A Framework for Exploring the Post-gelation Behavior of Ziff and Stell's Polymerization Models", SIAM J. Appl. Math. 2015, 75, 1346-1368. Published, 06/2015.
- Shankar V, Wright GB, Kirby RM & Fogelson AL (2015). A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. Journal of scientific computing. Vol. 63, 745-768. Published, 05/01/2015.
- Fogelson, Aaron L., Kirby, Robert M., Shankar, Varun & Wright, Grady B. (2014). A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method: RBF-FD METHOD FOR CHEMISTRY ON SURFACES IN 2D DOMAINS. Wiley-Blackwell. Vol. 75(1), 1-22. Published, 2014.
- Du J, Guy RD & Fogelson AL (2014). An Immersed Boundary Method for Two-fluid Mixtures. Journal of computational physics. Vol. 262, 231-243. Published, 07/01/2014.
- Tyler Skorczewski, Boyce E. Griffith, and Aaron L. Fogelson, "Multi-Bond Models for Platelet Adhesion and Cohesion", Contemp. Math., 2014, 628, 149-173. Published, 06/2014.
- Leiderman, Karin & Fogelson, Aaron (2014). An overview of mathematical modeling of thrombus formation under flow. Elsevier BV. Vol. 133, S12-S14. Published, 05/2014.
- Fogelson, Aaron & Zhang, Qinghai (2014). Fourth-Order Interface Tracking in Two Dimensions via an Improved Polygonal Area Mapping Method. Society for Industrial & Applied Mathematics (SIAM). Vol. 36(5), A2369-A2400. Published, 05/2014.
- Bannish BE, Keener JP, Woodbury M, Weisel JW & Fogelson AL (2014). Modelling fibrinolysis: 1D continuum models. Mathematical medicine and biology : a journal of the IMA. Vol. 31, 45-64. Published, 03/01/2014.
- Bannish BE, Keener JP & Fogelson AL (2014). Modelling fibrinolysis: a 3D stochastic multiscale model. Mathematical medicine and biology : a journal of the IMA. Vol. 31, 17-44. Published, 03/01/2014.
- Varun Shankar, Grady B. Wright, Aaron L. Fogelson and Robert M. Kirby, "A radial basis function (RBF) finite difference method for the simulation of reaction–diffusion equations on stationary platelets within the augmented forcing method", Int J Numer Meth Fluids, 2014, 75, 1-22. Published, 01/2014.
- Kirby, Robert M., Wright, Grady B., Fogelson, Aaron L. & Shankar, Varun (2013). A study of different modeling choices for simulating platelets within the immersed boundary method. Elsevier BV. Vol. 63, 58-77. Published, 2013.
- Keener, J. P., Fogelson, A. L. & Sircar, S. (2013). The effect of divalent vs. monovalent ions on the swelling of Mucin-like polyelectrolyte gels: Governing equations and equilibrium analysis. AIP Publishing. Vol. 138(1), 014901. Published, 2013.
- Leiderman K & Fogelson AL (2013). The influence of hindered transport on the development of platelet thrombi under flow. Bulletin of mathematical biology. Vol. 75, 1255-83. Published, 08/01/2013.
- Shankar V, Wright GB, Fogelson AL & Kirby RM (2013). A study of different modeling choices for simulating platelets within the immersed boundary method. Applied numerical mathematics : transactions of IMACS. Vol. 63, 58-77. Published, 04/01/2013.
- Skorczewski T, Erickson LC & Fogelson AL (2013). Platelet motion near a vessel wall or thrombus surface in two-dimensional whole blood simulations. Biophysical journal. Vol. 104, 1764-72. Published, 04/01/2013.
- Sircar S, Keener JP & Fogelson AL (2013). The effect of divalent vs. monovalent ions on the swelling of mucin-like polyelectrolyte gels: governing equations and equilibrium analysis. The Journal of chemical physics. Vol. 138, 014901. Published, 01/01/2013.
- Fogelson, Aaron L. & Yao, Lingxing (2012). Simulations of chemical transport and reaction in a suspension of cells I: an augmented forcing point method for the stationary case: SIMULATIONS OF CHEMICAL TRANSPORT & REACTION IN A SUSPENSION OF CELLS. Wiley-Blackwell. Vol. 69(11), 1736-1752. Published, 2012.
- Du J, Keener JP, Guy RD & Fogelson AL (2012). Low-Reynolds-number swimming in viscous two-phase fluids. Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 85, 036304. Published, 05/01/2012.
- Fogelson AL, Hussain YH & Leiderman K (2012). Blood clot formation under flow: the importance of factor XI depends strongly on platelet count. Biophysical journal. Vol. 102, 10-8. Published, 01/01/2012.
- Du, Jian & Fogelson, Aaron L. (2011). A Cartesian grid method for two-phase gel dynamics on an irregular domain. Wiley-Blackwell. Vol. 67(12), 1799-1817. Published, 2011.
- Wright, Grady B., Fogelson, Aaron L., Guy, Robert D. & Du, Jian (2011). A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Elsevier BV. Vol. 166(19-20), 1137-1157. Published, 2011.
- FOGELSON, A. L. & CROWL, L. (2011). Analysis of mechanisms for platelet near-wall excess under arterial blood flow conditions. Cambridge University Press (CUP). Vol. 676, 348-375. Published, 2011.
- Leiderman, K. & Fogelson, A. L. (2011). Grow with the flow: a spatial-temporal model of platelet deposition and blood coagulation under flow. Oxford University Press (OUP). Vol. 28(1), 47-84. Published, 2011.
- Keener, James P., Sircar, Sarthok & Fogelson, Aaron L. (2011). Kinetics of Swelling Gels. Society for Industrial & Applied Mathematics (SIAM). Vol. 71(3), 854-875. Published, 2011.
- Keener JP, Sircar S & Fogelson AL (2011). Influence of the standard free energy on swelling kinetics of gels. Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 83, 041802. Published, 05/01/2011.
- Crowl LM & Fogelson AL (2010). Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. International journal for numerical methods in biomedical engineering. Vol. 26, 471-487. Published, 12/01/2010.
- Fogelson, Aaron L. & Crowl, Lindsay M. (2010). Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. Wiley-Blackwell. Vol. 26(3-4), 471-487. Published, 2010.
- Fogelson AL & Keener JP (2010). Toward an understanding of fibrin branching structure. Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 81, 051922. Published, 09/01/2010.
- Du, Jian, Fogelson, Aaron L. & Wright, Grady B. (2009). A parallel computational method for simulating two-phase gel dynamics on a staggered grid. Wiley-Blackwell. Vol. 60(6), 633-649. Published, 2009.
- Kirby, Robert M., Newren, Elijah P., Fogelson, Aaron L. & Guy, Robert D. (2008). A comparison of implicit solvers for the immersed boundary equations. Elsevier BV. Vol. 197(25-28), 2290-2304. Published, 2008.
- Fogelson, Aaron L. & Guy, Robert D. (2008). A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties. Elsevier BV. Vol. 197(25-28), 2250-2264. Published, 2008.
- Wright, Grady B., Guy, Robert D. & Fogelson, Aaron L. (2008). An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics. Society for Industrial & Applied Mathematics (SIAM). Vol. 30(5), 2535-2565. Published, 2008.
- Fogelson, Aaron L. & Guy, Robert D. (2008). Immersed-boundary-type models of intravascular platelet aggregation. Elsevier BV. Vol. 197(25-28), 2087-2104. Published, 2008.
- Leiderman KM, Miller LA & Fogelson AL (2008). The effects of spatial inhomogeneities on flow through the endothelial surface layer. Journal of theoretical biology. Vol. 252, 313-25. Published, 05/01/2008.
- Kirby, Robert M., Newren, Elijah P., Fogelson, Aaron L. & Guy, Robert D. (2007). Unconditionally stable discretizations of the immersed boundary equations. Elsevier BV. Vol. 222(2), 702-719. Published, 2007.
- Guy RD, Fogelson AL & Keener JP (2007). Fibrin gel formation in a shear flow. Mathematical medicine and biology : a journal of the IMA. Vol. 24, 111-30. Published, 02/01/2007.
- Guy, R.D. & Fogelson, A. (2006). Computational modeling of arterial platelet thrombosis in stenotic vessels. Elsevier BV. Vol. 39, S296. Published, 2006.
- Tania, Nessy & Fogelson, Aaron L. (2005). Coagulation under Flow: The Influence of Flow-Mediated Transport on the Initiation and Inhibition of Coagulation. S. Karger AG. Vol. 34(2-3), 91-108. Published, 2005.
- Guy, Robert D. & Fogelson, Aaron L. (2005). Stability of approximate projection methods on cell-centered grids. Elsevier BV. Vol. 203(2), 517-538. Published, 2005.
- DeTar, Carleton, Fogelson, Aaron L., Johnson, Chris R., Sikorski, Christopher A. & Truong, Thanh (2004). Computational Engineering and Science Program at the University of Utah. Springer Science + Business Media. Vol. 3039, 1202-1209. Published, 2004.
- Fogelson AL & Guy RD (2004). Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Mathematical medicine and biology : a journal of the IMA. Vol. 21, 293-334. Published, 11/01/2004.
- Yi CS, Fogelson AL, Keener JP & Peskin CS (2002). A mathematical study of volume shifts and ionic concentration changes during ischemia and hypoxia. Journal of theoretical biology. Vol. 220, 83-106. Published, 11/01/2002.
- Guy RD & Fogelson AL (2002). Probabilistic modeling of platelet aggregation: effects of activation time and receptor occupancy. Journal of theoretical biology. Vol. 219, 33-53. Published, 10/01/2002.
- Kuharsky AL & Fogelson AL (2001). Surface-mediated control of blood coagulation: the role of binding site densities and platelet deposition. Biophysical journal. Vol. 80, 1050-74. Published, 03/01/2001.
- Fogelson AL & Kuharsky AL (1998). Membrane binding-site density can modulate activation thresholds in enzyme systems. Journal of theoretical biology. Vol. 193, 1-18. Published, 09/01/1998.
- Fogelson AL & Wang NT (1996). Platelet dense-granule centralization and the persistence of ADP secretion. The American journal of physiology. Vol. 270, H1131-40. Published, 10/01/1996.
- Moll VH & Fogelson AL (1993). Activation waves in a model of platelet aggregation: existence of solutions and stability of travelling fronts. Journal of mathematical biology. Vol. 31, 675-701. Published, 12/01/1993.
- Zucker RS & Fogelson AL (1986). Relationship between transmitter release and presynaptic calcium influx when calcium enters through discrete channels. Proceedings of the National Academy of Sciences of the United States of America. Vol. 83, 3032-6. Published, 06/01/1986.
- Fogelson AL & Zucker RS (1986). Presynaptic calcium diffusion from various arrays of single channels. Implications for transmitter release and synaptic facilitation. Biophysical journal. Vol. 48, 1003-17. Published, 04/01/1986.
Research Keywords
- Applied Mathematics, Mathematical Biology, Modeling of Physiological Processes, Computational Fluid Dynamics, Thrombosis and Hemostasis, Physiological Gels