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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.
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.
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, 102245. Elsevier.
Brooks, H. L. . (2021). Archive of all online content. Collections, 320, F1–F144.
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.
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. Bulletin of mathematical biology, 79, 2512–2533. Springer US.
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.
Zhu, J. , Zhong, X. , Shu, C. - W. , & Qiu, J. . (2016). Communications in Computational Physics.
Nganguia, H. , Young, Y. N. , Layton, A. T. , Hu, W. F. , Lai, M. C. , & others, . (2015). Communications in Computational Physics.
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.
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.
Hu, R. , & Layton, A. . (2021). A computational model of kidney function in a patient with diabetes. International Journal of Molecular Sciences, 22, 5819. Multidisciplinary Digital Publishing Institute.

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