Publications

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Author Title Type [ Year(Desc)]
2004
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2004). Two modes for concentrating urine in rat inner medulla. American Journal of Physiology-Renal Physiology, 287, F816–F839. American Physiological Society.
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.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2005). Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats. American Journal of Physiology-Renal Physiology.
Layton, A. T. , & Layton, H. E. . (2005). A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. II. Parameter sensitivity and tubular inhomogeneity. American Journal of Physiology-Renal Physiology, 289, F1367–F1381. American Physiological Society.
Layton, A. T. , & Minion, M. L. . (2005). Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. BIT Numerical Mathematics, 45, 341–373. Springer-Verlag.
Layton, A. T. , & Layton, H. E. . (2005). A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. I. Formulation and base-case results. American Journal of Physiology-Renal Physiology, 289, F1346–F1366. American Physiological Society.
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: Galerkin. Mathematics and Computers in Simulation, 71, 175–186. Elsevier.
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 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.

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