Curriculum Vitae

213 Physics Building Durham, NC 27708

(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

Duke University

Assistant Professor, Mathematics, July 01, 2007 - present

Assistant Research Professor, Mathematics, July 01, 2004 - June 30, 2007

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

Awards, Honors, and Distinctions

ADVANCE fellow, 2004

Selected Grant Support

• Mathematical Model of Vascular and Tubular Transport in the Rat Outer Medulla, National Institutes of Health.      
• Modeling Fluid Dynamics and Solute Transport in Modeling Fluid Dynamics and Solute Transport in the Kidney, National Science Foundation.      
• Mathematical Model of Vascular and Tubular Transport in the Rat Outer Medulla, National Institutes of Health.      
• A Conference on Applications of Analysis to Mathematical Biology, National Science Foundation.      
• Conferece on Applications of Analysis to Mathematical Biology, Arts and Sciences Committee on Faculty Research.      
• NSF Graduate Support Supplement, National Science Foundation, DMS-0539136.      
• Arts and Sciences Committee on Faculty Research.      
• NSF ADVANCE Fellows Award: Mathematical modeling of renal physiology, National Science Foundation.      

Professional Service

Pre-Major Advisor, August, 2006 -- May, 2007  

Professional Affiliations

American Physiological Society (APS)
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, Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces, Comput. Fluids., vol. 38 (2009), pp. 266-272
2. J. Thomas Beale and Anita T. Layton, A velocity decomposition approach for moving interfaces in viscous fluids, J. Comput. Phys., vol. 228 (2009), pp. 3358-3367
3. 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, vol. 71 no. 3 (2009), pp. 515-555
4. Anita T. Layton, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Appl. Numer. Math., vol. 59 (2009), pp. 1629-1643
5. 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, vol. 297 (2009), pp. F517-F536
6. 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, vol. 297 (2009), pp. F537-F548
7. Anita T. Layton, Harold E. Layton, William H. Dantzler, and Thomas L. Pannabecker, The mammalian urine concentrating mechanism: hypotheses and uncertainties, Physiol., vol. 24 (2009), pp. 250-256
8. 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
9. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., vol. 5 (2008), pp. 61-83
10. 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., vol. 295 (2008), pp. F1271 - F1285
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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)
28. 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
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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)
35. 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)
36. Anita T. Layton, Cubic spline collocation method for the shallow water equations on the sphere, J. Comput. Phys., vol. 179 (2002), pp. 578-592
37. 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
38. 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
39. 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
40. 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. Milargros Loreto and Anita T. Layton, An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney, Math. Biosci., in press (2009)
2. Anita T. Layton, Yusuke Toyama, Guo-Qiang Yang, Glenn S. Edwards, Daniel P. Kiehart, and Stephanos Venakides, Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure, HFSP, in press (2009)
3. Anita T. Layton and Aurelie Edwards, Tubuloglomerular feedback signal transduction in a short loop of Henle, Bull. Math. Biol., in press (2009)
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., in press (2009)
5. Mark A. Hallen and Anita T. Layton, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., in press (2009)

Papers Submitted

1. Jing Chen, Aurelie Edwards, and Anita T. Layton, Effects of pH and medullary blood flow on oxygen transport and sodium reabsorption in the rat outer medulla, Am J Physiol Renal Physiol, submitted (2009)
2. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Functional implications of the three-dimensional architecture of the rat renal inner medulla, Am. J. Physiol. Renal Physiol., submitted (2009)
3. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Tubuloglomerular Feedback signal transduction in a compliant thick ascending limb, Am. J. Physiol. Renal Physiol. (2009)
4. Jin Wang and Anita T. Layton, New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches, Appl. Numer. Math., submitted (2009)
5. Anita T. Layton, Thomas L. Pannabecker, William H. Dantzler, and Harold E. Layton, Hyperfiltration and inner-stripe hypertrophy may explain findings by Gamble and co-workers, Am. J. Physiol. Renal Physiol., submitted (2009)