Curriculum Vitae

Duke University, Box 90320 Durham, NC 27708-0320 USA

(919) 660-6971 (office) (email)

Education

PhD	University of Toronto	2001
MS	University of Toronto	1996
BS	Duke University	1994
BA	Duke University	1994

Areas of Research

Mathematical physiology; Multiscale numerical methods; Numerical methods for global atmospheric models

Areas of Interest

Mathematical physiology
Scientific computing
Multiscale numerical methods
Global atmospheric models

Commercial Experience / Industrial Expertise

VR-1 Canada: Computer Network Consultant, Summer 2000.
Systemware Consulting Inc.: Computer Consultant, 1994-1995. Clients included Toronto Stock Exchange and Canadian Imperial Bank of Commerce (CIBC).

Professional Experience / Employment History

University of North Carolina at Chapel Hill

Postdoctoral fellow, Department of Mathematics, January 01, 2002 - June 30, 2004

National Center for Atmospheric Research

Postdoctoral fellow, , February 01, 2001 - December 31, 2001

Recent Grant Support

• Modeling Fluid Dynamics and Solute Transport in Modeling Fluid Dynamics and Solute Transport in the Kidney, National Science Foundation, 2007/08-2010/07.      
• Mathematical Model of Vascular and Tubular Transport in the Rat Outer Medulla, National Institutes of Health, 2008/07-2009/06.      
• A Conference on Applications of Analysis to Mathematical Biology, National Science Foundation, 2007/05-2008/04.      
• Conferece on Applications of Analysis to Mathematical Biology, Arts and Sciences Committee on Faculty Research, 2006/11-2007/07.      
• NSF Graduate Support Supplement, National Science Foundation, DMS-0539136, 2006/06-2007/06.      
• ADVANCE Fellows Award: Mathematical modeling of renal physiology, National Science Foundation, 2004/04-2007/06.      
• Arts and Sciences Committee on Faculty Research, 2005/07-2006/06.      

Professional Affiliations

Association for Women in Mathematics (AWM)
Society of Industrial and Applied Mathematics (SIAM)
Society of Mathematical Biology (SMB)

Publications

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. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., vol. 5 (2008), pp. 61-83
3. 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
4. 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
5. Anita T. Layton, An efficient numerical method for the two-fluid Stokes equations with a moving boundary, Computer Methods Appl. Mech. Eng., vol. 197 (2007), pp. 2147-2155
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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)
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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)
27. 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)
28. Anita T. Layton, Cubic spline collocation method for the shallow water equations on the sphere, J. Comput. Phys., vol. 179 (2002), pp. 578-592
29. 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
30. 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
31. 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
32. 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. 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. (2008)
2. 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. J. Thomas Beale and Anita T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys., submitted (2008)
2. Jing Chen, Anita T. Layton, and Aurelie Edwards, A mathematical model of oxygen transport in the rat outer medulla: I. Model formulation and baseline results, Am J Physiol Renal Physiol, submitted (2008)
3. Jing Chen, Aurelie Edwards, and Anita T. Layton, A mathematical model of oxygen transport in the rat outer medulla: II. Impacts of outer medullary architecture, Am J Physiol Renal Physiol, submitted (2008)
4. 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)
5. Anita T. Layton, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Appl. Numer. Math., submitted (2007)
6. 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)