Publications

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[ Author(Desc)] Title Type Year
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Layton, A. T. . (2010). A mathematical model of the urine concentrating mechanism in the rat renal medulla. II. Functional implications of three-dimensional architecture. American Journal of Physiology-Renal Physiology, 300, F372–F384. American Physiological Society Bethesda, MD.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2010). Functional implications of the three-dimensional architecture of the rat renal inner medulla. American Journal of Physiology-Renal Physiology, 298, F973–F987. American Physiological Society Bethesda, MD.
Layton, A. T. . (2010). A mathematical model of the urine concentrating mechanism in the rat renal medulla. I. Formulation and base-case results. American Journal of Physiology-Renal Physiology, 300, F356–F371. American Physiological Society Bethesda, MD.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2009). Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow. The FASEB Journal, 23, 804–14. Federation of American Societies for Experimental Biology.
Layton, A. T. . (2009). On the efficiency of spectral deferred correction methods for time-dependent partial differential equations. Applied numerical mathematics, 59, 1629–1643. North-Holland.
Layton, A. T. . (2009). Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces. Computers & fluids, 38, 266–272. Pergamon.
Layton, A. T. , Toyama, Y. , Yang, G. - Q. , Edwards, G. S. , Kiehart, D. P. , & Venakides, S. . (2009). of dorsal closure Drosophila morphogenesis: tissue force laws and the modeling This article describes a second generation mathematical model to investigate the forces that account for the dynamics of dorsal closure, a stage of Drosophila development which. HFSP Journal, 441.
Layton, A. T. , Moore, L. C. , & Layton, H. E. . (2009). Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow. Federation of American Societies for Experimental Biology.
Layton, A. T. . (2009). On the efficiency of spectral deferred correction methods for time-dependent partial differential equations. Applied Numerical Mathematics, 59, 1629–1643. North-Holland.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2009). Hyperfiltration and inner stripe hypertrophy may explain findings by Gamble and coworkers. American Journal of Physiology-Renal Physiology, 298, F962–F972. American Physiological Society Bethesda, MD.
Layton, A. T. . (2009). Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces. Computers & Fluids, 38, 266–272. Pergamon.
Layton, A. T. , Toyama, Y. , Yang, G. - Q. , Edwards, G. S. , Kiehart, D. P. , & Venakides, S. . (2009). Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure. HFSP journal, 3, 441–460. Taylor & Francis.
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. Springer-Verlag.
Layton, A. T. , Layton, H. E. , Dantzler, W. H. , & Pannabecker, T. L. . (2009). The mammalian urine concentrating mechanism: hypotheses and uncertainties. Physiology, 24, 250–256. American Physiological Society.
Layton, A. T. . (2008). An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary. Computer methods in applied mechanics and engineering, 197, 2147–2155. North-Holland.
Layton, H. E. , Moore, L. C. , & Layton, A. T. . (2008). Tubuloglomerular feedback signal transduction in a model of a compliant thick ascending limb. Federation of American Societies for Experimental Biology.
Layton, A. T. . (2008). An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary. Computer Methods in Applied Mechanics and Engineering, 197, 2147–2155. North-Holland.
Layton, A. T. . (2008). On the choice of correctors for semi-implicit Picard deferred correction methods. Applied Numerical Mathematics, 58, 845–858. Elsevier.
Layton, H. E. , Layton, A. T. , & Moore, L. C. . (2007). A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback. The Federation of American Societies for Experimental Biology.
Layton, H. E. , Layton, A. T. , & Moore, L. C. . (2007). A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback. Federation of American Societies for Experimental Biology.

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