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Layton, A. T. , Christara, C. C. , & Jackson, K. R. . (2006). Quadratic spline methods for the shallow water equations on the sphere: Collocation. Mathematics and Computers in Simulation, 71, 187–205. Elsevier.
Layton, A. T. , Christara, C. C. , & Jackson, K. R. . (2006). Quadratic spline methods for the shallow water equations on the sphere: Galerkin. Mathematics and Computers in Simulation, 71, 175–186. Elsevier.
Layton, A. T. , Christara, C. C. , & Jackson, K. R. . (2006). Quadratic spline Galerkin method for the shallow water equations on the sphere. Math. Comput. Simulat, 71, 175–186.
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Layton, A. T. , Sgouralis, I. , Layton, H. , & Moore, L. . (2011). Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole. Federation of American Societies for Experimental Biology.
Witelski, T. P. , Ambrose, D. M. , Bertozzi, A. , Layton, A. T. , Li, Z. , & Minion, M. L. . (2012). 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.
Sadria, M. , & Layton, A. . (2022). 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.
Layton, A. T. , & Edwards, A. . (2015). 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.
Wei, N. , Gumz, M. L. , & Layton, A. T. . (2018). 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.
Layton, A. T. , Vallon, V. , & Edwards, A. . (2016). 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.
Sadria, M. , & Layton, A. . (2023). The Power of Two: integrating deep diffusion models and variational autoencoders for single-cell transcriptomics analysis. bioRxiv, 2023–04. Cold Spring Harbor Laboratory.
Prieto-García, L. , Vicente-Vicente, L. , Blanco-Gozalo, V. , Hidalgo-Thomas, O. , García-Macías, M. C. , Kurtz, A. , Layton, A. T. , et al. (2020). Pathophysiological mechanisms underlying a rat model of triple whammy acute kidney injury. Laboratory Investigation, 100, 1455–1464. Nature Publishing Group US New York.
Layton, A. T. , & J Beale, T. . (2012). A partially implicit hybrid method for computing interface motion in Stokes flow. Discrete Contin. Dyn. Syst. Ser. B, 27, 1139–1153.
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Fry, B. C. , & Layton, A. T. . (2014). 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.
Layton, A. T. . (2019). Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases. Biological Cybernetics, 113, 139–148. Springer Berlin Heidelberg Berlin/Heidelberg.
Loreto, M. , & Layton, A. T. . (2010). An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney. Mathematical biosciences, 223, 66–78. Elsevier.
Marcano, M. , Layton, A. T. , & Layton, H. E. . (2005). 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.
Marcano, M. , Layton, A. T. , & Layton, H. E. . (2006). An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism. Bulletin of mathematical biology, 68, 1625–1660. Springer-Verlag.
Herschlag, G. , Liu, J. - G. , & Layton, A. T. . (2015). Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit. arXiv preprint arXiv:1511.01469.
Layton, A. T. , Christara, C. C. , & Jackson, K. R. . (2002). Optimal quadratic spline collocation methods for the shallow water equations on the sphere. Submitted to Mathematics and Computers in Simulation.
Layton, A. T. , Toyama, Y. , Yang, G. - Q. , Edwards, G. S. , Kiehart, D. P. , & Venakides, S. . (2009). of dorsal closure Drosophila morphogenesis: tissue force laws and the modeling This article describes a second generation mathematical model to investigate the forces that account for the dynamics of dorsal closure, a stage of Drosophila development which. HFSP Journal, 441.

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