Publications

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Author Title [ Type(Desc)] Year
Journal Article
Layton, A. T. . (2005). A methodology for tracking solute distribution in a mathematical model of the kidney. Journal of Biological Systems, 13, 399–419. World Scientific.
Layton, A. T. , & Minion, M. L. . (2005). Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. BIT, 45(2), 341–373.
Layton, A. T. . (2005). Role of structural organization in the urine concentrating mechanism of an avian kidney. Mathematical biosciences, 197, 211–230. Elsevier.
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. , & Layton, H. E. . (2005). A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. II. Parameter sensitivity and tubular inhomogeneity. American Journal of Physiology-Renal Physiology, 289, F1367–F1381. American Physiological Society.
Layton, A. T. , & Minion, M. L. . (2005). Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. BIT Numerical Mathematics, 45, 341–373. Springer-Verlag.
Layton, A. T. , & Layton, H. E. . (2005). A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla. I. Formulation and base-case results. American Journal of Physiology-Renal Physiology, 289, F1346–F1366. American Physiological Society.
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.
Layton, A. T. , Pannabecker, T. L. , Dantzler, W. H. , & Layton, H. E. . (2004). Two modes for concentrating urine in rat inner medulla. American Journal of Physiology-Renal Physiology, 287, F816–F839. American Physiological Society.
Silva, A. L. F. Lima E. , Silveira-Neto, A. , & Damasceno, J. J. R. . (2003). Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method. Journal of Computational Physics, 189, 351–370. Academic Press.
Chen, Y. , Damasceno, J. J. R. , Dance, S. L. , Dellacherie, S. , Evans, T. M. , Fan, J. , Fasso, F. , et al. (2003). Chauviere, C., 607 Chen, R.-C., 579 Chen, X., 557. Journal of Computational Physics, 189, 676.
Layton, A. T. . (2003). A semi-Lagrangian collocation method for the shallow water equations on the sphere. SIAM Journal on Scientific Computing, 24, 1433–1449. SIAM.
Layton, A. T. , & Layton, H. E. . (2003). An efficient numerical method for distributed-loop models of the urine concentrating mechanism. Mathematical biosciences, 181, 111–132. Elsevier.
Layton, A. T. , & Spotz, W. F. . (2003). A semi-Lagrangian double Fourier method for the shallow water equations on the sphere. Journal of Computational Physics, 189, 180–196. Elsevier.
Layton, A. T. , & Layton, H. E. . (2003). A region-based model framework for the rat urine concentrating mechanism. Bulletin of mathematical biology, 65, 859–901. Springer-Verlag.
Bourlioux, A. , Layton, A. T. , & Minion, M. L. . (2003). High-order multi-implicit spectral deferred correction methods for problems of reactive flow. Journal of Computational Physics, 189, 651–675. Elsevier.
Layton, A. T. , Christara, C. C. , & Jackson, K. R. . (2002). Optimal quadratic spline collocation methods for the shallow water equations on the sphere. Submitted to Mathematics and Computers in Simulation.
Layton, A. T. , Christara, C. C. , & Jackson, K. R. . (2002). Quadratic spline Galerkin method for the shallow water equations on the sphere. Citeseer.
Layton, A. T. , & Layton, H. E. . (2002). A semi-Lagrangian semi-implicit numerical method for models of the urine concentrating mechanism. SIAM Journal on Scientific Computing, 23, 1526–1548. SIAM.

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