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Author Title Type Year(Asc)
2010
Layton, A. T.. (2010). Feedback-mediated dynamics in a model of a compliant thick ascending limb. Mathematical biosciences, 228, 185–194. Elsevier.
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.
2009
Edwards, A., Chen, J., & Layton, A. T.. (2009). Impact of Rat Outer Medullary Architecture on Oxygen Distribution. The FASEB Journal, 23, 970–12. Federation of American Societies for Experimental Biology.
Robel, A., & Layton, A.. (2009). The Lorenz Model.
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. 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.
Wang, J., & Layton, A.. (2009). Numerical simulations of fiber sedimentation in Navier-Stokes flows. Communications in Computational Physics, 5, 61.
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.
J Beale, T., & Layton, A. T.. (2009). A velocity decomposition approach for moving interfaces in viscous fluids. Journal of Computational Physics, 228, 3358–3367. Elsevier.
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, 515–555. 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.
Chen, J., Layton, A. T., & Edwards, A.. (2009). A mathematical model of O2 transport in the rat outer medulla. I. Model formulation and baseline results. American Journal of Physiology-Renal Physiology, 297, F517–F536. American Physiological Society.
Chen, J., Edwards, A., & Layton, A. T.. (2009). A mathematical model of O2 transport in the rat outer medulla. II. Impact of outer medullary architecture. American Journal of Physiology-Renal Physiology, 297, F537–F548. American Physiological Society.
2008
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.
Pannabecker, T. Lloyd, Dantzler, W. H., Layton, A. T., & Layton, H. E.. (2008). Three-dimensional reconstructions of rat renal inner medulla suggest two anatomically separated countercurrent mechanisms for urine concentration. 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.
Pannabecker, T. L., Dantzler, W. H., Layton, H. E., & Layton, A. T.. (2008). Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla. American Journal of Physiology-Renal Physiology, 295, F1271–F1285. American Physiological Society.

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