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Author Title [ Type(Asc)] Year
Journal Article
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.
Modell, B. , Khan, M. , Darlison, M. , King, A. , Layton, M. , Old, J. , Petrou, M. , et al. (2001). A national register for surveillance of inherited disorders: beta thalassaemia in the United Kingdom. Bulletin of the World Health Organization, 79, 1006–1013. World Health Organization Genebra, Genebra, Switzerland.
Conference Paper
Stadt, M. , & Layton, A. . (2022). Adaptive Changes in GFR, Tubular Morphology and Transport in Pregnant Rat Kidneys: Modeling and Analysis. In 2022 Virtual Joint Mathematics Meetings. 2022, AMS.
Abo, S. , & Layton, A. . (2021). Sex-Specific Effects of Shiftwork-Mediated Disruptions of Circadian Rhythms on the Inflammatory Response. In 2021 Joint Mathematics Meetings. AMS.
Layton, A. T. . (2017). Tracking the Distribution of a Solute Bolus in the Rat Kidney. In Women in Mathematical Biology: Research Collaboration Workshop, NIMBioS, Knoxville, June 2015 (pp. 115–136). Springer International Publishing.
Sgouralis, I. , & Layton, A. T. . (2017). Modeling blood flow and oxygenation in a diabetic rat kidney. In Women in Mathematical Biology: Research Collaboration Workshop, NIMBioS, Knoxville, June 2015 (pp. 101–113). Springer International Publishing.
Layton, A. T. , & Edwards, A. . (2017). Introduction to Mathematical Modeling of Blood Flow Control in the Kidney. In Women in Mathematical Biology: Research Collaboration Workshop, NIMBioS, Knoxville, June 2015 (pp. 63–73). Springer International Publishing.
Ciocanel, M. - V. , Stepien, T. L. , Edwards, A. , & Layton, A. T. . (2017). Modeling autoregulation of the afferent arteriole of the rat kidney. In Women in Mathematical Biology: Research Collaboration Workshop, NIMBioS, Knoxville, June 2015 (pp. 75–100). Springer International Publishing.
Arciero, J. , Ellwein, L. , Versypt, A. N. Ford, Makrides, E. , & Layton, A. T. . (2015). Modeling blood flow control in the kidney. In Applications of dynamical systems in biology and medicine (pp. 55–73). Springer New York.
Nganguia, H. , Young, Y. - N. , Layton, A. , Hu, W. - F. , & Lai, M. - C. . (2014). Immersed Interface Method for Drop Electrohydrodynamic. In APS Division of Fluid Dynamics Meeting Abstracts (pp. H13–006).
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).
Haer-Wigman, L. , Linthorst, G. E. , Sands, J. M. , Klein, J. D. , Thai, T. L. , Verhoeven, A. J. , van Zwieten, R. , et al. (2013). DUPLICATION OF THE UREA TRANSPORTER B GENE (KIDD BLOOD GROUP) IN A KINDRED WITH FAMILIAL AZOTEMIA. In VOX SANGUINIS (Vol. 105, pp. 30–31). WILEY-BLACKWELL 111 RIVER ST, HOBOKEN 07030-5774, NJ 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).
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.
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. , 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, 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.

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