Publications

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Author [ Title(Desc)] Type Year
A
Beale, T. , & Layton, A. . (2007). On the accuracy of finite difference methods for elliptic problems with interfaces. Communications in Applied Mathematics and Computational Science, 1, 91–119. Mathematical Sciences Publishers.
Li, Y. , & Layton, A. T. . (2012). Accurate computation of Stokes flow driven by an open immersed interface. Journal of Computational Physics, 231, 5195–5215. Elsevier.
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.
Layton, A. T. , Edwards, A. , & Vallon, V. . (2017). Adaptive changes in GFR, tubular morphology, and transport in subtotal nephrectomized kidneys: modeling and analysis. American Journal of Physiology-Renal Physiology, 313, F199–F209. American Physiological Society Bethesda, MD.
Stadt, M. M. , & Layton, A. T. . (2022). Adaptive changes in single-nephron GFR, tubular morphology, and transport in a pregnant rat nephron: modeling and analysis. American Journal of Physiology-Renal Physiology, 322, F121–F137. American Physiological Society Rockville, MD.
Sadria, M. , Layton, A. , & Bader, G. . (2023). Adversarial training improves model interpretability in single-cell RNA-seq analysis. bioRxiv, 2023–05. Cold Spring Harbor Laboratory.
Sadria, M. , & Layton, A. . (2020). Ageing signalling pathways: Quantifying the effects of protein interactions. The FASEB Journal, 34, 1–1. The Federation of American Societies for Experimental Biology.
Sadria, M. , & Layton, A. T. . (2021). Aging affects circadian clock and metabolism and modulates timing of medication. Iscience, 24. Elsevier.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2017). Archive of all online content. American Journal of Physiology-Renal Physiology, 313, F1178–F1178.
Sgouralis, I. , & Layton, A. T. . (2012). Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole. American Journal of Physiology-Renal Physiology, 303, F229–F239. American Physiological Society Bethesda, MD.
B
Versypt, A. N. Ford, Makrides, E. , Arciero, J. C. , Ellwein, L. , & Layton, A. T. . (2015). Bifurcation study of blood flow control in the kidney. Mathematical biosciences, 263, 169–179. Elsevier.
Layton, A. T. , & Olson, S. D. . (2014). Biological Fluid Dynamics: Modeling, Computations, and Applications. American Mathematical Society.
Sgouralis, I. , Kett, M. M. , Ow, C. P. C. , Abdelkader, A. , Layton, A. T. , Gardiner, B. S. , Smith, D. W. , et al. (2016). Bladder urine oxygen tension for assessing renal medullary oxygenation in rabbits: experimental and modeling studies. American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, 311, R532–R544. American Physiological Society Bethesda, MD.
C
Edwards, A. , & Layton, A. T. . (2014). Calcium dynamics underlying the myogenic response of the renal afferent arteriole. American Journal of Physiology-Renal Physiology, 306, F34–F48. American Physiological Society.
Abo, S. M. C. , Carrillo, J. A. , & Layton, A. T. . (2023). Can the clocks tick together despite the noise? Stochastic simulations and analysis. SIAM Journal on Applied Dynamical Systems, 22, 850–877. Society for Industrial and Applied Mathematics University City, Philadelphia.
Carrillo, J. A. , Abo, S. M. C. , & Layton, A. T. . (2022). Can the clocks tick together despite the noise? Stochastic simulations and analysis. Society for Industrial and Applied Mathematics.
Layton, A. T. , & Vallon, V. . (2018). Cardiovascular benefits of SGLT2 inhibition in diabetes and chronic kidney diseases. Acta physiologica (Oxford, England), 222, e13050. NIH Public Access.
Edwards, A. , & Layton, A. T. . (2017). Cell volume regulation in the proximal tubule of rat kidney: proximal tubule cell volume regulation. Bulletin of mathematical biology, 79, 2512–2533. Springer US New York.
Chen, Y. , Damasceno, J. J. R. , Dance, S. L. , Dellacherie, S. , Evans, T. M. , Fan, J. , Fasso, F. , et al. (2003). Chauviere, C., 607 Chen, R.-C., 579 Chen, X., 557. Journal of Computational Physics, 189, 676.
Layton, A. T. . (2008). On the choice of correctors for semi-implicit Picard deferred correction methods. Applied Numerical Mathematics, 58, 845–858. Elsevier.

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