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Author [ Title(Desc)] Type Year
P
Witelski, T. P. , Ambrose, D. M. , Bertozzi, A. , Layton, A. T. , Li, Z. , & Minion, M. L. . (2012). PREFACE: SPECIAL ISSUE ON FLUID DYNAMICS, ANALYSIS AND NUMERICS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 17, I–II. AMER INST MATHEMATICAL SCIENCES PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA.
Layton, A. T. , Sgouralis, I. , Layton, H. , & Moore, L. . (2011). Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole. Federation of American Societies for Experimental Biology.
Q
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. , 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.
R
Basu, N. B. , Dony, J. , Van Meter, K. J. , Johnston, S. J. , & Layton, A. T. . (2023). A random forest in the Great Lakes: Stream nutrient concentrations across the transboundary Great Lakes Basin. Earth's Future, 11, e2021EF002571.
Layton, A. T. . (2019). Recent advances in renal epithelial transport. American Journal of Physiology-Renal Physiology, 316, F274–F276. American Physiological Society Bethesda, MD.
Layton, A. T. . (2015). Recent advances in renal hemodynamics: insights from bench experiments and computer simulations. American Journal of Physiology-Renal Physiology, 308, F951–F955. American Physiological Society Bethesda, MD.
Layton, A. T. . (2016). Recent advances in renal hypoxia: Insights from bench experiments and computer simulations. American Journal of Physiology-Renal Physiology, 311, F162–F165. American Physiological Society Bethesda, MD.
Layton, A. T. , & Sullivan, J. C. . (2019). Recent advances in sex differences in kidney function. American Journal of Physiology-Renal Physiology, 316, F328–F331. American Physiological Society Bethesda, MD.
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. , & 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. , & Layton, H. E. . (2003). A region-based model framework for the rat urine concentrating mechanism. Bulletin of mathematical biology, 65, 859–901. Springer-Verlag.
Leiderman, K. , Bouzarth, E. L. , Cortez, R. , & Layton, A. T. . (2013). A regularization method for the numerical solution of periodic Stokes flow. Journal of Computational Physics, 236, 187–202. Elsevier.
Stadt, M. , & Layton, A. . (2022). Renal adaptations in gestational hypertension preserves K+ while minimizing Na+ retention. The FASEB Journal, 36. The Federation of American Societies for Experimental Biology.
Sgouralis, I. , Evans, R. G. , Gardiner, B. S. , Smith, J. A. , Fry, B. C. , & Layton, A. T. . (2015). Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: a modeling study. Physiological reports, 3, e12260.
Sgouralis, I. , Evans, R. G. , & Layton, A. T. . (2017). Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat. Mathematical medicine and biology: a journal of the IMA, 34, 313–333. Oxford University Press.
Layton, A. T. , Edwards, A. , & Vallon, V. . (2018). Renal potassium handling in rats with subtotal nephrectomy: modeling and analysis. American Journal of Physiology-Renal Physiology, 314, F643–F657. American Physiological Society Bethesda, MD.
Layton, A. T. , & Vallon, V. . (2018). Renal tubular solute transport and oxygen consumption: insights from computational models. Current Opinion in Nephrology and Hypertension, 27, 384–389. LWW.
Gilbert, R. L. , Pannabecker, T. L. , & Layton, A. T. . (2012). Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney. Federation of American Societies for Experimental Biology.

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