Publications

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Author [ Title(Asc)] Type Year
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Layton, A. T. , & van de Panne, M. . (2002). A numerically efficient and stable algorithm for animating water waves. The Visual Computer, 18, 41–53. Springer-Verlag.
Wang, J. , & Layton, A. . (2009). Numerical simulations of fiber sedimentation in Navier-Stokes flows. Communications in Computational Physics, 5, 61.
Hou, G. , Wang, J. , & Layton, A. . (2012). Numerical methods for fluid-structure interaction—a review. Communications in Computational Physics, 12, 337–377. Cambridge University Press.
Layton, A. T. , & Layton, H. E. . (2002). A numerical method for renal models that represent tubules with abrupt changes in membrane properties. Journal of mathematical biology, 45, 549–567. Springer-Verlag.
Edwards, A. , & Layton, A. T. . (2010). Nitric oxide and superoxide transport in a cross section of the rat outer medulla. II. Reciprocal interactions and tubulovascular cross talk. American Journal of Physiology-Renal Physiology, 299, F634–F647. American Physiological Society Bethesda, MD.
Edwards, A. , & Layton, A. T. . (2010). Nitric oxide and superoxide transport in a cross section of the rat outer medulla. I. Effects of low medullary oxygen tension. American Journal of Physiology-Renal Physiology, 299, F616–F633. American Physiological Society Bethesda, MD.
Fry, B. , Edwards, A. , & Layton, A. . (2015). Nitric Oxide and Superoxide Significantly Affect Medullary Oxygenation and Urinary Output. The FASEB Journal, 29, 963–1. The Federation of American Societies for Experimental Biology.
Wang, J. , & Layton, A. . (2010). New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches. Applied numerical mathematics, 60, 645–657. North-Holland.
Layton, A. T. . (2017). A new microscope for the kidney: mathematics. American Journal of Physiology-Renal Physiology, 312, F671–F672. American Physiological Society Bethesda, MD.
Sadria, M. , Karimi, S. , & Layton, A. T. . (2019). Network centrality analysis of eye-gaze data in autism spectrum disorder. Computers in biology and medicine, 111, 103332. Pergamon.
Sgouralis, I. , & Layton, A. . (2013). Nephrovascular interactions in a mathematical model of rat renal autoregulation. The Federation of American Societies for Experimental Biology.
Modell, B. , Khan, M. , Darlison, M. , King, A. , Layton, M. , Old, J. , Petrou, M. , et al. (2001). A national register for surveillance of inherited disorders: beta thalassaemia in the United Kingdom. Bulletin of the World Health Organization, 79, 1006–1013. World Health Organization Genebra, Genebra, Switzerland.
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Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2009). Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons. Bulletin of mathematical biology, 71, 515–555. Springer-Verlag.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2005). Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats. American Journal of Physiology-Renal Physiology.
Layton, A. T. . (2019). Multiscale models of kidney function and diseases. Current Opinion in Biomedical Engineering, 11, 1–8. Elsevier.
Sadria, M. , Bjornstad, P. , Pottumarthi, P. , Lu-Ping, L. , Pyle, L. , Vigers, T. , & Layton, A. . (2023). A multimodal neural network that distinguishes between type 1 and type 2 diabetes in young persons using MRI and clinical data. Physiology, 38, 5695980. American Physiological Society Rockville, MD.
Ciocanel, M. - V. , Stepien, T. L. , Sgouralis, I. , & Layton, A. T. . (2018). A multicellular vascular model of the renal myogenic response. Processes, 6, 89. MDPI.
Olson, S. D. , Layton, A. , & Olson, S. . (2014). Motion of filaments with planar and helical bending waves in a viscous fluid. Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemp. Math. Series, Layton A, Olson S (eds). AMS: Providence, RI, 109–128.
Edwards, A. , & Layton, A. T. . (2011). Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide. American Journal of Physiology-Renal Physiology, 301, F979–F996. American Physiological Society Bethesda, MD.
Layton, A. T. , & Gumz, M. L. . (2022). Modelling Sex Differences in Circadian Regulation of Kidney Function of the Mouse. bioRxiv, 2022–08. Cold Spring Harbor Laboratory.

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