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Edwards, A. , & Layton, A. T. . (2010). Nitric oxide and superoxide transport in a cross section of the rat outer medulla. I. Effects of low medullary oxygen tension. American Journal of Physiology-Renal Physiology, 299, F616–F633. American Physiological Society Bethesda, MD.
Layton, A. T. , & Layton, H. E. . (2002). A numerical method for renal models that represent tubules with abrupt changes in membrane properties. Journal of mathematical biology, 45, 549–567. Springer-Verlag.
Hou, G. , Wang, J. , & Layton, A. . (2012). Numerical methods for fluid-structure interaction—a review. Communications in Computational Physics, 12, 337–377. Cambridge University Press.
Wang, J. , & Layton, A. . (2009). Numerical simulations of fiber sedimentation in Navier-Stokes flows. Communications in Computational Physics, 5, 61.
Layton, A. T. , & van de Panne, M. . (2002). A numerically efficient and stable algorithm for animating water waves. The Visual Computer, 18, 41–53. Springer-Verlag.
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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.
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.
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.
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.
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.
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.
Layton, A. T. . (2019). Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases. Biological Cybernetics, 113, 139–148. Springer Berlin Heidelberg Berlin/Heidelberg.
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.
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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.
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.
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.
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.
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. , & 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.
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.

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