Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Math HOME

.......................

Faculty

.......................

Publications of Anita T Layton    :chronological  combined  bibtex listing:

Books

  1. Anita T. Layton, John Stockie, Zhilin Li, and Huaxiong Huang (editors), Fluid Motion Driven by Immersed Structures, A special issue of Commun Comput Phys, vol. 2 (2012)
  2. Anita T. Layton and Guo-Wei Wei (editors), Interface Methods for Biological and Biomedical Problems, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 289-399
  3. Thoma Witelski, David Ambrose, Andrea Bertozzi, Anita Layton, and Zhilin Li (editors), Fluid Dynamics, Analysis and Numerics, Special issue of Discrete and Continuous Dynamical Systems - Series B (2012)

Papers Published

  1. Gene Hou, Jin Wang, and Anita T. Layton, Numerical methods for fluid-structure interaction – a review, Comm Comput Phys, vol. 12 (2012), pp. 337-377
  2. Anita T. Layton and J. Thomas Beale, A partially implicit hybrid method for computing interface motion in Stokes flow, Discrete and Continuous Dynamical Systems B, vol. 17 (2012), pp. 1139-1153
  3. Anita T. Layton, Philip Pham, and Hwa-Yeon Ryu, Signal transduction in a compliant short loop of Henle, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 369-380
  4. Anita T. Layton, Rebecca Gilbert, and Thomas L. Pannabecker, Isolated interstitial nodal spaces may facilitate preferential solute and fluid mixing in the rat renal inner medulla, Am J Physiol Renal Physiol, vol. 302 no. 7 (2012), pp. F830-F839
  5. Anita T. Layton, William H. Dantzler, and Thomas L. Pannabecker, Urine concentrating mechanism: Impact of vascular and tubular architecture and a proposed descending limb urea-Na+ cotransporter, Am J Physiol Renal Physiol, vol. 302 no. 5 (2012), pp. F591-F605
  6. Anita T. Layton, Leon C. Moore, and Harold E. Layton, Signal transduction in a compliant thick ascending limb, Am. J. Physiol. Renal Physiol., vol. 302 no. F1188-F1202 (2012)
  7. Anita T. Layton and Guowei Wei, Editorial: Interface methods for biological and biomedical problems, edited by 289-290, Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012)
  8. Anita T. Layton, Natasha S. Savage, Audrey S. Howell, Susheela Y. Carroll, David G. Drubin, and Daniel J. Lew, Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment, Curr Biol, vol. 21 (2011), pp. 1-11
  9. Anita T. Layton, A mathematical model of the urine concentrating mechanism in the rat renal medulla: I. Formulation and base-case results, Am J Physiol Renal Physiol, vol. 300 no. F356-F371 (2011)
  10. Anita T. Layton, A mathematical model of the urine concentrating mechanism in the rat renal medulla: II. Functional implications of three-dimensional architecture, Am J Physiol Renal Physiol, vol. 300 no. F372-F384 (2011)
  11. Jing Chen, Ioannis Sgouralis, Leon C. Moore, Harold E. Layton, and Anita T. Layton, A mathematical model of the myogenic response to systolic pressure in the afferent arteriole, Am J Physiol Renal Physiol, vol. 300 (2011), pp. F669-F681
  12. Anita T. Layton, Matthew Bowen, Amy Wen, and Harold E. Layton, Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs, Math Biosci, vol. 230 (2011), pp. 115-127
  13. William H. Dantzler, Thomas L. Pannabecker, Anita T. Layton, and Harold E. Layton, Urine concentrating mechanism in the inner medulla of the mammalian kidney: Role of three-dimensional architecture, Acta Physiologica, vol. 202 no. 3 (2011), pp. 361-378
  14. Anita T. Layton and Harold E. Layton, Countercurrent multiplication may not explain the axial osmolality gradient, Am J Physiol Renal Physiol, vol. 301 (2011), pp. F1047-F1056
  15. Elizabeth L. Bouzarth, Anita T. Layton, and Yuan-Nan Young, Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets, Int J Numer Methods Biomed Eng, vol. 12 (2011), pp. 2021–2034
  16. Tianluo Lei, Lei Zhou, Anita T. Layton, Dan Zhao, Hong Zhou, Xin Li, Xuejian Zhao, Lise Bankir, Baoxue Yang, Role of thin descending limb urea transport in renal urea handling and the urine concentrating mechanism, Am J Physiol Renal Physiol., vol. 301 (2011), pp. F1251-F1259
  17. Aurélie Edwards and Anita T. Layton, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide, Am J Physiol Renal Physiol, vol. 301 no. F979-F996 (2011)
  18. Anita T. Layton and Aurelie Edwards, Tubuloglomerular feedback signal transduction in a short loop of Henle, Bull. Math. Biol., vol. 72 no. 1 (2010), pp. 34-62
  19. Milargros Loreto and Anita T. Layton, An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney, Math. Biosci., vol. 223 (2010), pp. 66-78
  20. 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, vol. 3 no. 6 (2010), pp. 441-460
  21. 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., vol. 7 no. 2 (2010), pp. 314-339
  22. 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., vol. 298 (2010), pp. F973 - F987
  23. 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., vol. 298 (2010), pp. F962 - F972
  24. Mark A. Hallen and Anita T. Layton, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., vol. 2 no. 21 (2010), pp. 295-305
  25. 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, vol. 298 no. F1369 - F1383 (2010)
  26. Aurelie Edwards and Anita T. Layton, Nitric oxide and superoxide transport in a cross-section of the rat outer medulla. I. Effects of low medullary oxygen tension, Am J Physiol Renal Physiol, vol. 299 (2010), pp. F616-F633
  27. Aurelie Edwards and Anita T. Layton, Nitric oxide and superoxide transport in a cross-section of the rat outer medulla. II. Reciprocal interactions and tubulo-vascular cross-talk, Am J Physiol Renal Physiol, vol. 299 (2010), pp. F634-F647
  28. Jin Wang and Anita T. Layton, New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches, Appl. Numer. Math., vol. 60 no. 6 (2010), pp. 645-657
  29. Anita T. Layton, Feedback-mediated dynamics in a model of a compliant thick ascending limb, Math Biosci, vol. 228 no. 185-194 (2010)
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. Jin Wang and Anita T. Layton, Numerical simulations of fiber sedimentation in Navier-Stokes flows, Comm. Comput. Phys., vol. 5 (2008), pp. 61-83
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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
  45. 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
  46. 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
  47. 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
  48. 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
  49. 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
  50. 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
  51. 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
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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)
  57. 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
  58. 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
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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)
  64. 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)
  65. Anita T. Layton, Cubic spline collocation method for the shallow water equations on the sphere, J. Comput. Phys., vol. 179 (2002), pp. 578-592
  66. 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
  67. 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
  68. 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
  69. 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. Natasha S. Savage, Anita T. Layton, and Daniel J. Lew, Mechanistic mathematical model of polarity in yeast, Mol Biol Cell, in press (2012)
  2. Ioannis Sgouralis and Anita T. Layton, Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole, Am J Physiol Renal Physiol, in press (2012)
  3. Yi Li and Anita T. Layton, Accurate computation of Stokes flow driven by an open immersed interface, J. Compute. Phys., in press (2012)
  4. Anita T. Layton, A velocity decomposition approach for solving the immersed interface problem with Dirichlet boundary conditions, IMA Volume on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding, in press (2011)
  5. Hwayeon Ryu and Anita T. Layton, Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb, Med Math Biol, in press , accepted 2011

Papers Submitted

  1. Anita T. Layton, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, submitted (2012)
  2. Hwayeon Ryu and Anita T. Layton, Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney, J Math Biol, submitted (2012)
  3. Aniel Nieves-Gonzalez, Chris Clausen, Mariano Marcano, Anita .T. Layton, Harold E. Layton, and Leon C. Moore, Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell, Am J Physiol Renal Physiol, submitted (2012)
  4. Aniel Nieves-Gonzalez, Chris Clausen, Anita .T. Layton, Harold E. Layton, and Leon C. Moore, Efficiency and workload distribution in a mathematical model of the thick ascending limb, Am J Physiol Renal Physiol, submitted (2012)
  5. Aurélie Edwards and Anita T. Layton, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Am J Physiol Renal Physiol, submitted (2012)
  6. Karin Leiderman, Elizabeth L. Bouzarth, Ricardo Cortez, and Anita T. Layton, A regularization method for the numerical solution of periodic Stokes flow, J Comput Phys, submitted (2012)

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
Mathematics Home | Arts & Sciences | Duke University