Publications
Quadratic spline methods for the shallow water equations on the sphere: Collocation. Mathematics and Computers in Simulation, 71, 187–205. Elsevier.
. (2006). Quadratic spline methods for the shallow water equations on the sphere: Galerkin. Mathematics and Computers in Simulation, 71, 175–186. Elsevier.
. (2006). Quadratic spline Galerkin method for the shallow water equations on the sphere. Math. Comput. Simulat, 71, 175–186.
. (2006). Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole. Federation of American Societies for Experimental Biology.
. (2011). PREFACE: SPECIAL ISSUE ON FLUID DYNAMICS, ANALYSIS AND NUMERICS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 17, I–II. AMER INST MATHEMATICAL SCIENCES PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA.
. (2012). A predictive model for estimating protection against CKD and CVD with SGLT2 inhibition in patients with diabetes. The FASEB Journal, 36. The Federation of American Societies for Experimental Biology.
. (2022). Predicted effects of nitric oxide and superoxide on the vasoactivity of the afferent arteriole. American Journal of Physiology-Renal Physiology, 309, F708–F719. American Physiological Society Bethesda, MD.
. (2015). Predicted effect of circadian clock modulation of NHE3 of a proximal tubule cell on sodium transport. American Journal of Physiology-Renal Physiology, 315, F665–F676. American Physiological Society Bethesda, MD.
. (2018). Predicted consequences of diabetes and SGLT inhibition on transport and oxygen consumption along a rat nephron. American Journal of Physiology-Renal Physiology, 310, F1269–F1283. American Physiological Society Bethesda, MD.
. (2016). The Power of Two: integrating deep diffusion models and variational autoencoders for single-cell transcriptomics analysis. bioRxiv, 2023–04. Cold Spring Harbor Laboratory.
. (2023). Pathophysiological mechanisms underlying a rat model of triple whammy acute kidney injury. Laboratory Investigation, 100, 1455–1464. Nature Publishing Group US New York.
(2020). A partially implicit hybrid method for computing interface motion in Stokes flow. Discrete Contin. Dyn. Syst. Ser. B, 27, 1139–1153.
. (2012). Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels. Mathematical biosciences, 258, 68–76. Elsevier.
. (2014). Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases. Biological Cybernetics, 113, 139–148. Springer Berlin Heidelberg Berlin/Heidelberg.
. (2019). An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney. Mathematical biosciences, 223, 66–78. Elsevier.
. (2010). An optimization algorithm for a model of the urine concentrating mechanism in rat inner medulla. In FASEB JOURNAL (Vol. 19, pp. A150–A150). FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
. (2005). An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism. Bulletin of mathematical biology, 68, 1625–1660. Springer-Verlag.
. (2006). Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit. arXiv preprint arXiv:1511.01469.
. (2015). Optimal quadratic spline collocation methods for the shallow water equations on the sphere. Submitted to Mathematics and Computers in Simulation.
. (2002). . (2009).