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Author Title Type [ Year(Desc)]
2007
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.
Marcano, M. , Layton, A. T. , & Layton, H. E. . (2007). Maximum Urine Concentrating Capability for Transport Parameters and Urine Flow within Prescribed Ranges. The Federation of American Societies for Experimental Biology.
Layton, A. T. . (2007). Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney. Bulletin of mathematical biology, 69, 887–929. Springer-Verlag.
Layton, A. , & Minion, M. . (2007). Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods. Communications in Applied Mathematics and Computational Science, 2, 1–34. Mathematical Sciences Publishers.
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.
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.
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.

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