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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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