Publications

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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. , Christara, C. C. , & Jackson, K. R. . (2002). Quadratic spline Galerkin method for the shallow water equations on the sphere. Citeseer.
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.
Layton, A. T. . (2002). Cubic spline collocation method for the shallow water equations on the sphere. Journal of Computational Physics, 179, 578–592. Elsevier.
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.
Leete, J. , Ahmed, S. , Hernandez, F. J. Lopez, & Layton, A. . (2019). Determining Risk Factors for Triple Whammy AKI using Computational Models of Long-Term Blood Pressure Regulation. The FASEB Journal, 33, 758–5. The Federation of American Societies for Experimental Biology.
Leete, J. , & Layton, A. T. . (2019). Sex-specific long-term blood pressure regulation: Modeling and analysis. Computers in biology and medicine, 104, 139–148. Pergamon.
Leete, J. , Ahmed, S. , Hernandez, F. J. Lopez, & Layton, A. . (2019). Determining Risk Factors for Triple Whammy AKI using Computational Models of Long-Term Blood Pressure Regulation. The FASEB Journal, 33, 758–5. The Federation of American Societies for Experimental Biology.
Leete, J. , & Layton, A. T. . (2019). Sex-specific long-term blood pressure regulation: modeling and analysis. Computers in biology and medicine, 104, 139–148. Pergamon.
Leete, J. , & Layton, A. . (2018). His and Her Computational Models of Long-term Blood Pressure Regulation. The FASEB Journal, 32, 714–5. The Federation of American Societies for Experimental Biology.
Leete, J. , & Layton, A. . (2018). His and Her Computational Models of Long-term Blood Pressure Regulation. The FASEB Journal, 32, 714–5. The Federation of American Societies for Experimental Biology.

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