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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.
Layton, A. T. . (2004). Conservative multi-implicit integral deferred correction methods with adaptive mesh refinement.
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.
Layton, A. T. , & Minion, M. L. . (2004). Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics. Journal of Computational Physics, 194, 697–715. Elsevier.
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.
Layton, H. E. , & Layton, A. T. . (2003). Impaired countercurrent exchange in a mathematical model of a urine concentrating mechanism lacking UT-B urea transporter. In JOURNAL OF THE AMERICAN SOCIETY OF NEPHROLOGY (Vol. 14, p. 76A–76A). LIPPINCOTT WILLIAMS & WILKINS 530 WALNUT ST, PHILADELPHIA, PA 19106-3621 USA.
Layton, A. T. , & Layton, H. E. . (2003). A method for tracking solute distribution in mathematical models of the urine concentrating mechanism (UCM). In FASEB JOURNAL (Vol. 17, pp. A485–A485). FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
Layton, A. T. . (2003). A semi-Lagrangian collocation method for the shallow water equations on the sphere. SIAM Journal on Scientific Computing, 24, 1433–1449. SIAM.
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. , & Spotz, W. F. . (2003). A semi-Lagrangian double Fourier method for the shallow water equations on the sphere. Journal of Computational Physics, 189, 180–196. Elsevier.
Layton, A. T. , & Layton, H. E. . (2003). A region-based model framework for the rat urine concentrating mechanism. Bulletin of mathematical biology, 65, 859–901. Springer-Verlag.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2002). Internephron coupling may contribute to emergence of irregular oscillations mediated by tubuloglomerular feedback. In JOURNAL OF THE AMERICAN SOCIETY OF NEPHROLOGY (Vol. 13, p. 333A–333A). LIPPINCOTT WILLIAMS & WILKINS 530 WALNUT ST, PHILADELPHIA, PA 19106-3621 USA.
Layton, A. T. , & Layton, H. E. . (2002). A mathematical model of the urine concentrating mechanism in the outer medulla of the rat kidney. In FASEB JOURNAL (Vol. 16, pp. A51–A51). FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
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.
Layton, A. T. , & Layton, H. E. . (2002). A semi-Lagrangian semi-implicit numerical method for models of the urine concentrating mechanism. SIAM Journal on Scientific Computing, 23, 1526–1548. SIAM.
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.

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