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E
Edwards, A. , Castrop, H. , Laghmani, K. , Vallon, V. , & Layton, A. T. . (2014). Effects of NKCC2 isoform regulation on NaCl transport in thick ascending limb and macula densa: a modeling study. American Journal of Physiology-Renal Physiology, 307, F137–F146. American Physiological Society Bethesda, MD.
Chen, J. , Edwards, A. , & Layton, A. T. . (2010). Effects of pH and medullary blood flow on oxygen transport and sodium reabsorption in the rat outer medulla. American Journal of Physiology-Renal Physiology, 298, F1369–F1383. American Physiological Society Bethesda, MD.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2004). Effects of structural organization on the urine concentrating mechanism of the rat kidney. In FASEB JOURNAL (Vol. 18, pp. A1021–A1021). FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
Nieves-González, A. , Clausen, C. , Marcano, M. , Layton, H. E. , Layton, A. T. , & Moore, L. C. . (2011). Efficiency of sodium transport in a model of the Thick Ascending Limb (TAL). Federation of American Societies for Experimental Biology.
Nieves-González, A. , Moore, L. C. , Clausen, C. , Marcano, M. , Layton, H. E. , & Layton, A. T. . (2010). Efficiency of sodium transport in the thick ascending limb. Federation of American Societies for Experimental Biology.
Layton, A. T. . (2009). On the efficiency of spectral deferred correction methods for time-dependent partial differential equations. Applied numerical mathematics, 59, 1629–1643. North-Holland.
Layton, A. T. , & Layton, H. E. . (2003). An efficient numerical method for distributed-loop models of the urine concentrating mechanism. Mathematical biosciences, 181, 111–132. Elsevier.
Layton, A. T. . (2008). An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary. Computer methods in applied mechanics and engineering, 197, 2147–2155. North-Holland.
Guidoboni, G. , Bonifazi, G. , Sacco, R. , Layton, A. , Olson, S. D. , Hallare, M. C. Brucal, Siesky, B. A. , et al. (2019). Electrochemical characterization of ciliary epithelium physiology: a theoretical approach. Investigative Ophthalmology & Visual Science, 60, 3202–3202. The Association for Research in Vision and Ophthalmology.
Nganguia, H. , Young, Y. - N. , Layton, A. T. , Lai, M. - C. , & Hu, W. - F. . (2016). Electrohydrodynamics of a viscous drop with inertia. Physical Review E, 93, 053114. American Physical Society.
Layton, A. T. , Edwards, A. , Layton, A. T. , & Edwards, A. . (2014). Electrophysiology of Renal Vascular Smooth Muscle Cells. Mathematical Modeling in Renal Physiology, 107–140. Springer Berlin Heidelberg.
Marcano, M. , Layton, A. T. , & Layton, H. E. . (2006). Estimation of Collecting Duct Parameters for Maximum Urine Concentrating Capability in a Mathematical Model of the Rat Inner Medulla. Federation of American Societies for Experimental Biology.
Moore, L. C. , Siu, K. L. , Layton, A. T. , Layton, H. E. , & Chon, K. H. . (2006). Evidence for Multi-Stability of the Tubuloglomerular Feedback System in Spontaneously-Hypertensive Rats (SHR). Federation of American Societies for Experimental Biology.
Herschlag, G. , Liu, J. - G. , & Layton, A. T. . (2015). An exact solution for stokes flow in a channel with arbitrarily large wall permeability. SIAM Journal on Applied Mathematics, 75, 2246–2267. Society for Industrial and Applied Mathematics.
Herschlag, G. , Liu, J. - G. , & Layton, A. . (2014). An exact solution for Stokes flow in an infinite channel with permeable walls. In APS Division of Fluid Dynamics Meeting Abstracts (pp. D15–006).
Hallen, M. A. , & Layton, A. T. . (2010). Expanding the scope of quantitative FRAP analysis. Journal of Theoretical Biology, 262, 295–305. Academic Press.
Layton, A. T. . (2006). An explicit jump method for the two-fluid stokes equations with an immersed elastic boundary. Elsevier Science.
F
Sadria, M. , Layton, A. , Goyal, S. , & Bader, G. . (2022). Fatecode: Cell fate regulator prediction using classification autoencoder perturbation. bioRxiv, 2022–12. Cold Spring Harbor Laboratory.
Layton, A. T. . (2010). Feedback-mediated dynamics in a model of a compliant thick ascending limb. Mathematical biosciences, 228, 185–194. Elsevier.
Ryu, H. , & Layton, A. T. . (2014). Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle. Biological Fluid Dynamics: Modeling, Computations, and Applications, 628, 209. American Mathematical Soc.

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