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Dutta, P. , Sadria, M. , & Layton, A. . (2022). Determinants of natriuretic, diuretic, and kaliuretic effects of diuretics: Sex and administration time. bioRxiv, 2022–12. Cold Spring Harbor Laboratory.
Layton, A. T. . (2021). Deep Learning for Medical Decision Support Systems. SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
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Layton, A. T. . (2002). Cubic spline collocation method for the shallow water equations on the sphere. Journal of Computational Physics, 179, 578–592. Elsevier.
Hakimi, S. , Dutta, P. , & Layton, A. T. . (2023). Coupling of renal sodium and calcium transport: a modeling analysis of transporter inhibition and sex differences. American Journal of Physiology-Renal Physiology, 325, F536–F551. American Physiological Society Rockville, MD.
Hakimi, S. , Dutta, P. , & Layton, A. . (2023). Coupling of renal sodium and calcium transport: A modeling analysis. bioRxiv, 2023–05. Cold Spring Harbor Laboratory.
Layton, A. T. , & Layton, H. E. . (2011). Countercurrent multiplication may not explain the axial osmolality gradient in the outer medulla of the rat kidney. American Journal of Physiology-Renal Physiology, 301, F1047–F1056. American Physiological Society Bethesda, MD.
Layton, A. T. , Edwards, A. , Layton, A. T. , & Edwards, A. . (2014). Counter-Current Exchange Across Vasa Recta. Mathematical Modeling in Renal Physiology, 63–83. Springer Berlin Heidelberg.
Abo, S. , Hakimi, S. , Layton, A. T. , Sadria, M. , Smith, D. , Stadt, M. , & West, C. . (2022). Control Applications for Biomedical Engineering Systems. SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
Sgouralis, I. , & Layton, A. T. . (2013). Control and modulation of fluid flow in the rat kidney. Bulletin of mathematical biology, 75, 2551–2574. Springer US.
Sgouralis, I. , Evans, R. , Gardiner, B. , & Layton, A. . (2014). Contribution of hemodilution to renal hypoxia following cardiopulmonary bypass surgery (890.12). The FASEB Journal, 28, 890–12. The Federation of American Societies for Experimental Biology.
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. . (2004). Conservative multi-implicit integral deferred correction methods with adaptive mesh refinement.
Sgouralis, I. , & Layton, A. T. . (2016). Conduction of feedback-mediated signal in a computational model of coupled nephrons. Mathematical Medicine and Biology: a Journal of the IMA, 33, 87–106. Oxford University Press.
Li, Y. , Sgouralis, I. , & Layton, A. T. . (2014). Computing viscous flow in an elastic tube. Numerical Mathematics: Theory, Methods and Applications, 7, 555–574. Cambridge University Press.
Patterson, S. E. , & Layton, A. T. . (2021). Computing Viscous Flow Along a 3D Open Tube Using the Immerse Interface Method. arXiv preprint arXiv:2112.12892.
Patterson, S. E. , & Layton, A. T. . (2021). Computing viscous flow along a 2D open channel using the immersed interface method. Engineering Reports, 3, e12334.
Hu, R. , & Layton, A. . (2021). A computational model of kidney function in a patient with diabetes. International journal of molecular sciences, 22, 5819. MDPI.
Layton, A. T. , & Layton, H. E. . (2019). A computational model of epithelial solute and water transport along a human nephron. PLoS computational biology, 15, e1006108. Public Library of Science.
Layton, A. T. , Vallon, V. , & Edwards, A. . (2016). A computational model for simulating solute transport and oxygen consumption along the nephrons. American Journal of Physiology-Renal Physiology, 311, F1378–F1390. American Physiological Society Bethesda, MD.
Sadria, M. , & Layton, A. T. . (2021). A computational model for cell energy balance and metabolism.

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