Publications of Anita Layton     :chronological  combined  bibtex listing:

Papers Published

1. Anita T. Layton, On the choice of correctors for semi-implicit Picard deferred correction methods, Appl. Numer. Math., vol. 58 no. 6 (2008), pp. 845-858
2. Anita T. Layton, Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney, Bull. Math. Biol., vol. 69 no. 3 (2007), pp. 887-929
3. Anita T. Layton and Michael L. Minion, Implications of the choice of predictors for semi-implicit Picard Integral deferred correction methods, Comm. Appl. Math. Comp. Sci., vol. 2 no. 1 (2007), pp. 1-34
4. S. Randall Thomas, Anita Layton, Harold Layton, and Leon Moore, Kidney modelling: status and perspectives, Proceedings of the IEEE, vol. 94 no. 4 (2006), pp. 740-752
5. Anita T. Layton, Christina C. Christara, and Kenneth R. Jackson, Quadratic spline Galerkin method for the shallow water equations on the sphere, Math. Comput. Simul., vol. 71 no. 3 (2006), pp. 175-186
6. Anita T. Layton, Christina C. Christara, and Kenneth R. Jackson, Optimal quadratic spline collocation methods for the shallow water equations on the sphere, Math. Comput. Simul., vol. 71 no. 3 (2006), pp. 187-205
7. J. Thomas Beale and Anita T. Layton, On the accuracy of finite difference methods for elliptic problems with interfaces, Comm. Appl. Math. Comp. Sci., vol. 1 no. 1 (2006), pp. 91-119
8. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats, Am. J. Physiol. Renal Physiol., vol. 291 (2006), pp. F79-F97
9. Mariano Marcano, Anita T. Layton, and Harold E. Layton, An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism, Bull. Math. Biol., vol. 68 no. 7 (2006), pp. 1625-1660
10. Anita T. Layton, Modeling water transport across elastic boundaries using an explicit jump method, SIAM J. Sci. Comput., vol. 28 no. 6 (2006), pp. 2189-2207
11. Anita T. Layton, A methodology for tracking solute distribution in mathematical models of the kidney, J. Biol. Sys., vol. 13 no. 4 (2005), pp. 1-21
12. Anita T. Layton, Role of structural organization in the urine concentrating mechanism of an avian kidney, Math. Biosci., vol. 197 no. 2 (2005), pp. 211-230
13. Anita T. Layton and Michael L. Minion, Implications of the choice of quadrature nodes for Picard Integral deferred correction methods, BIT, vol. 45 no. 2 (2005), pp. 341-373
14. Anita T. Layton and Harold E. Layton, A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla: II. Parameter sensitivity and tubular inhomogeneity, Am. J. Physiol. Renal Physiol., vol. 289 (2005), pp. F1367-F1381
15. Anita T. Layton and Harold E. Layton, A region-based mathematical model of the urine concentrating mechanism in the rat outer medulla: I. Formulation and base-case results, Am. J. Physiol. Renal Physiol., vol. 289 (2005), pp. F1346-F1366
16. Anita T. Layton and Michael L. Minion, Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics, J. Comput. Phys., vol. 194 no. 2 (2004), pp. 697-715
17. Anita T. Layton, Conservative multi-implicit integral deferred correction methods with adaptive mesh refinement, Proceedings of the 12th Annual Conference of the CFD Society of Canada (2004)
18. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Two modes for concentrating urine in the rat inner medulla, Am. J. Physiol. Renal Physiol, vol. 287 (2004), pp. F816-F839
19. Anita T. Layton and Harold E. Layton, An efficient numerical method for distributed-loop models of the urine concentrating mechanism, Math. Biosci., vol. 181 no. 2 (2003), pp. 111-132
20. Anita T. Layton, A semi-Lagrangian collocation method for the shallow water equations on the sphere, SIAM J. Sci. Comput., vol. 24 no. 4 (2003), pp. 1433-1449
21. Anita T. Layton and William F. Spotz, A semi-Lagrangian double Fourier method for the shallow water equations on the sphere, J. Comput. Phys., vol. 189 no. 1 (2003), pp. 180-196
22. Anne Bourlioux, Anita T. Layton, and Michael L. Minion, High-order multi-implicit spectral deferred correction methods for problems of reactive flow, J. Comput. Phys., vol. 189 no. 2 (2003), pp. 651-675
23. Anita T. Layton and Harold E. Layton, A region-based model framework for the rat urine concentrating mechanism, Bull. Math. Biol., vol. 65 no. 6 (2003), pp. 859-901
24. Anita T. Layton, High-order operator-splitting methods for reacting gas dynamics, Proceedings of the 11th Annual Conference of the CFD Society of Canada (2003)
25. Anita T. Layton, A two-time-level semi-Lagrangian semi-implicit double Fourier method, Proceedings of the Workshop on Current Development in Shallow Water Models on the Sphere (2003)
26. Anita T. Layton, Cubic spline collocation method for the shallow water equations on the sphere, J. Comput. Phys., vol. 179 (2002), pp. 578-592
27. Anita T. Layton and Harold E. Layton, A semi-Lagrangian semi-implicit numerical method for models of the urine concentrating mechanism, SIAM J. Sci. Comput., vol. 23 no. 5 (2002), pp. 1528-1548
28. Anita T. Layton and Michiel van de Panne, A numerically efficient and stable algorithm for animating water waves, The Visual Computer, vol. 18 no. 1 (2002), pp. 41-53
29. Anita T. Layton and Harold E. Layton, A numerical method for renal models that represent tubules with abrupt changes in membrane properties, J. Math. Biol., vol. 45 no. 5 (2002), pp. 549-567
30. Anita W. Tam, A two-time-level semi-quadratic spline Galerkin method for the shallow water equations, Proceedings of the 8th Annual Conference of the CFD Society of Canada (2000)

Papers Accepted

1. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., in press (2008)
2. Anita T. Layton, An efficient numerical method for the two-fluid Stokes equations with a moving boundary, Computer Methods Appl. Mech. Eng., in press (2007)
3. Anita T. Layton, Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces, Comput. Fluids., in press (2007)

Papers Submitted

1. Mariano Marcano, Anita T. Layton, and Harold E. Layton, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, Bull. Math. Biol., submitted (2008)
2. Thomas L. Pannabecker, William H. Dantzler, Harold E. Layton, and Anita T. Layton, Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla, Am. J. Physiol. Renal Physiol., submitted (2008)
3. Anita T. Layton, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Appl. Numer. Math., submitted (2007)
4. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons, Bull Math Biol, submitted (2007)

Preprints

1. Guo-Qiang Yang, Anita T. Layton, Glenn S. Edwards, Daniel P. Kiehart, and Stephanos Venakides, Quantitative modeling of dorsal closure in Drosophila embryos, preprint (2006)