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2007
Layton, H. E. , Layton, A. T. , & Moore, L. C. . (2007). A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback. The Federation of American Societies for Experimental Biology.
Marcano, M. , Layton, A. T. , & Layton, H. E. . (2007). Maximum Urine Concentrating Capability for Transport Parameters and Urine Flow within Prescribed Ranges. The Federation of American Societies for Experimental Biology.
Layton, A. T. . (2007). Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney. Bulletin of mathematical biology, 69, 887–929. Springer-Verlag.
Layton, A. , & Minion, M. . (2007). Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Communications in Applied Mathematics and Computational Science, 2, 1–34. Mathematical Sciences Publishers.
Beale, T. , & Layton, A. . (2007). On the accuracy of finite difference methods for elliptic problems with interfaces. Communications in Applied Mathematics and Computational Science, 1, 91–119. Mathematical Sciences Publishers.
2006
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.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2006). Dynamics in coupled nephrons may contribute to irregular flow oscillations in spontaneously hypertensive rats. Federation of American Societies for Experimental Biology.
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.
Layton, A. T. . (2006). An explicit jump method for the two-fluid stokes equations with an immersed elastic boundary. Elsevier Science.
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.
Layton, A. T. . (2006). Modeling water transport across elastic boundaries using an explicit jump method. SIAM Journal on Scientific Computing, 28, 2189–2207. Society for Industrial and Applied Mathematics.
S Thomas, R. , Layton, A. T. , Layton, H. E. , & Moore, L. C. . (2006). Kidney modeling: Status and perspectives. Proceedings of the IEEE, 94, 740–752. IEEE.
2005
Layton, A. T. , & Layton, H. E. . (2005). A mathematical model of the urine concentrating mechanism of the inner medulla of the chinchilla kidney. In FASEB JOURNAL (Vol. 19, pp. A149–A149). FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
S Thomas, R. , Layton, H. E. , Layton, A. T. , Harris, P. , Lonie, A. , & Moore, L. C. . (2005). Towards a web resource for quantitative renal physiology. In Proceedings of the Physiological Society (Vol. 565, p. 98P).
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.
Layton, A. T. . (2005). A methodology for tracking solute distribution in a mathematical model of the kidney. Journal of Biological Systems, 13, 399–419. World Scientific.
Layton, A. T. . (2005). Role of structural organization in the urine concentrating mechanism of an avian kidney. Mathematical biosciences, 197, 211–230. Elsevier.

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