Publications

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Author [ Title(Desc)] Type Year
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Stadt, M. M. , Abo, S. , & Layton, A. T. . (2022). Circadian Regulation of Electrolyte and Water Transport in the Rat Kidney. SIAM Journal on Applied Mathematics, S1–S16. Society for Industrial and Applied Mathematics University City, Philadelphia.
Evans, R. Andrea, Leavy, O. C. , Richardson, M. , Elneima, O. , McAuley, H. J. C. , Shikotra, A. , Singapuri, A. , et al. (2022). Clinical characteristics with inflammation profiling of long COVID and association with 1-year recovery following hospitalisation in the UK: a prospective observational study. The Lancet Respiratory Medicine, 10, 761–775. Elsevier.
Layton, A. T. . (2022). A Comparative Study of Epithelial Transport in the Rat and Mouse Kidneys: Modelling and Analysis. bioRxiv, 2022–07. Cold Spring Harbor Laboratory.
T Bell, W. , & Layton, A. T. . (2022). A Complete Set of Equations and Parameters for the Computational Model of Mitochondrial Function for the Proximal Convoluted Tubule and Medullary Thick Ascending Limb Cells in the Rat Kidney. bioRxiv, 2022–01. Cold Spring Harbor Laboratory.
Layton, A. T. . (2022). A Complete Set of Equations for a Computational Model of Electrolyte and Water Transport along the Nephrons in a Mammalian Kidney. bioRxiv, 2022–09. Cold Spring Harbor Laboratory.
Sadria, M. , & Layton, A. T. . (2021). A computational model for cell energy balance and metabolism.
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. MDPI.
Patterson, S. E. , & Layton, A. T. . (2021). Computing viscous flow along a 2D open channel using the immersed interface method. Engineering Reports, 3, e12334.
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.
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.
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.
Layton, A. T. . (2004). Conservative multi-implicit integral deferred correction methods with adaptive mesh refinement.
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.
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.
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.
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.
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.
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.

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