Curriculum Vitae

Anita T. Layton

Box 90320, Durham, NC 27708-0320 (919) 660-6971 (office)
(email)
Education

Ph.D.University of Toronto (Canada)2001
M.S.University of Toronto (Canada)1996
B.S.Duke University1994
B.A.Duke University1994
Areas of Research

Mathematical physiology; Multiscale numerical methods; Numerical methods for immersed boundary problems.

Areas of Interest

Mathematical physiology
Scientific computing
Multiscale numerical methods
Fluid-structure interactions

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
Robert R. and Katherine B. Penn Professor, Mathematics, July 01, 2015 - June 30, 2018
Professor, Mathematics, July 01, 2015 - present
Robert R. and Katherine B. Penn Associate Professor, Mathematics, July 1, 2013 - June 30, 2015
Associate Professor, Mathematics, July 1, 2012 - June 30, 2015
Assistant Professor, Mathematics, July 01, 2007 - June 30, 2012
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

Bass Fellow, Duke University, July, 2013
ADVANCE fellow, 2004
Selected Grant Support

Professional Service

A&S Council
ECASC liaison & ex-officio as A&S council chair, Imagining the Duke Curriculum Committee, August 1, 2015 - present  
Women in STEM Steering Committee, July 1, 2015 - present  
A&S faculty council chair, May 15, 2015 - present  
ECASC liaison, Arts & Sciences Faculty Assessment Committee, August 1, 2015 - July 31, 2017  
University Committee
Associate Chair of Bass Society of Fellows, 2014 - present  
Co-chair of Senior Women in Science, 2014 - present  
Academic Programs Committee, August 01, 2014 - July 30, 2017  
Imagining the Duke Curriculum Committee, August 01, 2014 - July 30, 2017  
Arts & Sciences Faculty Assessment Committee, September 01, 2013 - August 31, 2015  
Dept Committee
Applied ARP selection committee, December 01, 2014 - February 1, 2015  
Papers Refereed
Deputy Editor of American Journal of Physiology Renal Physiology, April 15, 2014 - June 30, 2016  
Associated Editor of American Journal of Physiology Renal Physiology, Associated Editor of American Journal of Physiology Renal Physiology. July 1, 2013 - June 30, 2016, July 1, 2013 - June 30, 2016  
Math Community Services
Committee member on the Research Networks Committee, September 1, 2015 - present  
Organizer, Organized the "Research Collaboration Workshop for Women in Mathematical Biology" at NIMBioS, January 1, 2015 - June 25, 2015  
Dept Services
Associate Director of Mathematical Biology program, supported by five-year NSF Research Training Grant, July 1, 2010 - June 30, 2013  
Other
Director of Bass Connections Team, January, 2013 - May, 2016  
Mentor for Path to Independence Program, December 2013  
FINvite, December 2013  
Selected Recent Invited Talks

Unraveling Kidney Physiology, Pathophysiology and Therapeutics: A Modeling Approach, BME, Duke, November 3, 2015  
Modeling renal hemodynamics and oxygenation: Pathway to kidney injuries, Computational Biofluids in Physiology, University of Utah, May 14, 2015  
Nitric Oxide and Superoxide Significantly Affect Medullary Oxygenation and Urinary Output, Experimental Biology, March 29, 2015  
Mathematical modeling of renal hemodynamics: Feedback dynamics and coupled oscillators, Invited address at AMS Fall Sectional Meeting at Tulane University, New Orleans, October 13, 2012  
Toward a better understanding of the mammalian urine concentrating mechanism, ADVANCE Junior Scientist Lecture Series, University of Arizona, January 29, 2010  
Doctoral Theses Directed

Yi Li, Numerical methods for simulating fluid motion driven by immersed interfaces, (September 1, 2008 - December 7, 2012)  
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

Books

  1. Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)
  2. Anita T. Layton and Aurelie Edwards, Mathematical Modeling of Renal Physiology, Lecture Notes on Mathematical Modelling in the Life Sciences, edited by Angela Stevens and Michael C. Mackey (2013), Springer
  3. 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)
  4. 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)
  5. Layton, AT; Wei, G, Interface methods for biological and biomedical problems, International Journal for Numerical Methods in Biomedical Engineering, vol. 28 no. 3 (2012), pp. 289-290, ISSN 2040-7939

Papers Published

  1. Edwards, A; Layton, AT, Cell Volume Regulation in the Proximal Tubule of Rat Kidney : Proximal Tubule Cell Volume Regulation., Bulletin of Mathematical Biology (September, 2017)
  2. Burt, T; Noveck, RJ; MacLeod, DB; Layton, AT; Rowland, M; Lappin, G, Intra-Target Microdosing (ITM): A Novel Drug Development Approach Aimed at Enabling Safer and Earlier Translation of Biological Insights Into Human Testing., Clinical and Translational Science, vol. 10 no. 5 (September, 2017), pp. 337-350
  3. Chen, Y; Sullivan, JC; Edwards, A; Layton, AT, Sex-specific computational models of the spontaneously hypertensive rat kidneys: factors affecting nitric oxide bioavailability., American Journal of Physiology: Renal Physiology, vol. 313 no. 2 (August, 2017), pp. F174-F183
  4. Layton, AT; Edwards, A; Vallon, V, Adaptive changes in GFR, tubular morphology, and transport in subtotal nephrectomized kidneys: modeling and analysis., American Journal of Physiology: Renal Physiology, vol. 313 no. 2 (August, 2017), pp. F199-F209
  5. Chen, Y; Fry, BC; Layton, AT, Modeling glucose metabolism and lactate production in the kidney., Mathematical Biosciences, vol. 289 (July, 2017), pp. 116-129
  6. Layton, AT, A new microscope for the kidney: mathematics., American Journal of Physiology: Renal Physiology, vol. 312 no. 4 (April, 2017), pp. F671-F672
  7. Jiang, T; Li, Y; Layton, AT; Wang, W; Sun, Y; Li, M; Zhou, H; Yang, B, Generation and phenotypic analysis of mice lacking all urea transporters., Kidney international, vol. 91 no. 2 (February, 2017), pp. 338-351
  8. Layton, AT; Laghmani, K; Vallon, V; Edwards, A, Solute transport and oxygen consumption along the nephrons: effects of Na+ transport inhibitors., American Journal of Physiology: Renal Physiology, vol. 311 no. 6 (December, 2016), pp. F1217-F1229
  9. Layton, AT; Vallon, V; Edwards, A, A computational model for simulating solute transport and oxygen consumption along the nephrons., American Journal of Physiology: Renal Physiology, vol. 311 no. 6 (December, 2016), pp. F1378-F1390
  10. Sgouralis, I; Kett, MM; Ow, CPC; Abdelkader, A; Layton, AT; Gardiner, BS; Smith, DW; Lankadeva, YR; Evans, RG, Bladder urine oxygen tension for assessing renal medullary oxygenation in rabbits: experimental and modeling studies., American journal of physiology. Regulatory, integrative and comparative physiology, vol. 311 no. 3 (September, 2016), pp. R532-R544
  11. Layton, AT, Recent advances in renal hypoxia: insights from bench experiments and computer simulations., American Journal of Physiology: Renal Physiology, vol. 311 no. 1 (July, 2016), pp. F162-F165
  12. Herschlag, G; Liu, J-G; Layton, AT, Fluid extraction across pumping and permeable walls in the viscous limit, Physics of Fluids, vol. 28 no. 4 (April, 2016), pp. 041902-041902
  13. Sgouralis, I; Layton, AT, Conduction of feedback-mediated signal in a computational model of coupled nephrons., Mathematical Medicine and Biology: A Journal of the IMA, vol. 33 no. 1 (March, 2016), pp. 87-106
  14. Fry, BC; Edwards, A; Layton, AT, Impact of nitric-oxide-mediated vasodilation and oxidative stress on renal medullary oxygenation: a modeling study., American Journal of Physiology: Renal Physiology, vol. 310 no. 3 (2016), pp. F237-F247
  15. Xie, L; Layton, AT; Wang, N; Larson, PEZ; Zhang, JL; Lee, VS; Liu, C; Johnson, GA, Dynamic contrast-enhanced quantitative susceptibility mapping with ultrashort echo time MRI for evaluating renal function., American Journal of Physiology: Renal Physiology, vol. 310 no. 2 (2016), pp. F174-F182
  16. Burt, T; Rouse, DC; Lee, K; Wu, H; Layton, AT; Hawk, TC; Weitzel, DH; Chin, BB; Cohen-Wolkowiez, M; Chow, S-C; Noveck, RJ, Intraarterial Microdosing: A Novel Drug Development Approach, Proof-of-Concept PET Study in Rats., Journal of nuclear medicine : official publication, Society of Nuclear Medicine, vol. 56 no. 11 (November, 2015), pp. 1793-1799
  17. Burt, T; Rouse, DC; Lee, K; Wu, H; Layton, AT; Hawk, TC; Weitzel, DH; Chin, BB; Cohen-Wolkowiez, M; Chow, S-C; Noveck, RJ, Intraarterial Microdosing: A Novel Drug Development Approach, Proof-of-Concept PET Study in Rats, Journal of nuclear medicine : official publication, Society of Nuclear Medicine, vol. 56 no. 11 (November, 2015), pp. 1793-1799
  18. Layton, AT; Edwards, A, Predicted effects of nitric oxide and superoxide on the vasoactivity of the afferent arteriole., American Journal of Physiology: Renal Physiology, vol. 309 no. 8 (October, 2015), pp. F708-F719, ISSN 1931-857X
  19. Nganguia, H; Young, Y-N; Layton, AT; Hu, W-F; Lai, M-C, An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow, Communications in computational physics, vol. 18 no. 02 (2015), pp. 429-449, ISSN 1815-2406
  20. Burt, T; Wu, H; Layton, AT; Rouse, DC; Chin, BB; Hawk, TC; Weitzel, DH; Cohen-Wolkowiez, M; Chow, S; Noveck, RJ, INTRA-ARTERIAL MICRODOSING (IAM), A NOVEL DRUG DEVELOPMENT APPROACH, PROOF OF CONCEPT IN RATS, Clinical Therapeutics, vol. 37 no. 8 (August, 2015), pp. E40-E41
  21. Sgouralis, I; Layton, AT, Mathematical modeling of renal hemodynamics in physiology and pathophysiology., Mathematical Biosciences, vol. 264 (June, 2015), pp. 8-20, ISSN 0025-5564
  22. Layton, AT; Vallon, V; Edwards, A, Modeling oxygen consumption in the proximal tubule: effects of NHE and SGLT2 inhibition., American Journal of Physiology: Renal Physiology, vol. 308 no. 12 (June, 2015), pp. F1343-F1357, ISSN 1931-857X
  23. Layton, AT, Recent advances in renal hemodynamics: insights from bench experiments and computer simulations., American Journal of Physiology: Renal Physiology, vol. 308 no. 9 (May, 2015), pp. F951-F955, ISSN 1931-857X
  24. Fry, BC; Edwards, A; Layton, AT, Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration., American Journal of Physiology: Renal Physiology, vol. 308 no. 9 (2015), pp. F967-F980, ISSN 1931-857X
  25. Ford Versypt, AN; Makrides, E; Arciero, JC; Ellwein, L; Layton, AT, Bifurcation study of blood flow control in the kidney., Mathematical Biosciences, vol. 263 (2015), pp. 169-179
  26. Sgouralis, I; Evans, RG; Gardiner, BS; Smith, JA; Fry, BC; Layton, AT, Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: a modeling study., Physiological Reports, vol. 3 no. 1 (2015)
  27. Fields, B; Page, K, Preface, vol. 2015-June (January, 2015), ISBN 9781450335638
  28. Herschlag, G; Liu, J-G; Layton, AT, An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability, SIAM Journal on Applied Mathematics, vol. 75 no. 5 (January, 2015), pp. 2246-2267
  29. Anita T. Layton, Mathematical physiology, in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham (2015), ISBN 978-0691150390
  30. Julia Arcerio, Laura Ellwein, Ashlee N. Ford Versypt, Elizabeth Makride, and Anita T. Layton, Modeling blood flow in the kidney, in The IMA Volumes in Mathematics and its Applications: Applications of Dynamical Systems in Biology and Medicine, vol. 158 (2015), pp. 55-73
  31. Fry, BC; Layton, AT, Oxygen transport in a cross section of the rat inner medulla: impact of heterogeneous distribution of nephrons and vessels., Mathematical Biosciences, vol. 258 (December, 2014), pp. 68-76, ISSN 0025-5564
  32. Pannabecker, TL; Layton, AT, Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture., American Journal of Physiology: Renal Physiology, vol. 307 no. 6 (September, 2014), pp. F649-F655, ISSN 1931-857X
  33. Fry, BC; Edwards, A; Sgouralis, I; Layton, AT, Impact of renal medullary three-dimensional architecture on oxygen transport., American Journal of Physiology: Renal Physiology, vol. 307 no. 3 (August, 2014), pp. F263-F272, ISSN 1931-857X
  34. Edwards, A; Castrop, H; Laghmani, K; Vallon, V; Layton, AT, Effects of NKCC2 isoform regulation on NaCl transport in thick ascending limb and macula densa: a modeling study., American Journal of Physiology: Renal Physiology, vol. 307 no. 2 (July, 2014), pp. F137-F146, ISSN 1931-857X
  35. Sgouralis, I; Layton, AT, Theoretical assessment of renal autoregulatory mechanisms., American Journal of Physiology: Renal Physiology, vol. 306 no. 11 (2014), pp. F1357-F1371, ISSN 1931-857X
  36. Moss, R; Layton, AT, Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model., American Journal of Physiology: Renal Physiology, vol. 306 no. 9 (2014), pp. F952-F969, ISSN 1931-857X
  37. Li, Y; Sgouralis, I; Layton, AT, Computing viscous flow in an elastic tube, Numerical Mathematics: Theory, Methods and Applications (NM-TMA), vol. 7 no. 4 (2014), pp. 555-574, ISSN 1004-8979
  38. Layton, AT, Mathematical modeling of urea transport in the kidney., in Urea Transporters, edited by Baoxue Yang, Sub-Cellular Biochemistry, vol. 73 (2014), pp. 31-43, Springer, ISSN 0306-0225
  39. Edwards, A; Layton, AT, Calcium dynamics underlying the myogenic response of the renal afferent arteriole., American journal of physiology. Renal physiology, vol. 306 no. 1 (2014), pp. F34-F48
  40. Ryu, H; Layton, AT, Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney, Journal of Mathematical Biology, vol. 68 no. 4 (2014), pp. 1023-1049, ISSN 0303-6812
  41. Layton, AT, Impacts of Facilitated Urea Transporters on the Urine-Concentrating Mechanism in the Rat Kidney, Contemporary Mathematics, vol. 628 (2014), pp. 191-208, ISBN 978-0-8218-9850-5
  42. Ryu, H; Layton, AT, Feedback-Mediated Dynamics in a Model of Coupled Nephrons with Compliant Short Loop of Henle, Contemporary Mathematics, vol. 628 (2014), pp. 209-238, ISBN 978-0-8218-9850-5
  43. Olson, SD; Layton, AT, Simulating Biofluid-Structure Interactions with an Immersed Boundary Framework - A Review, Contemporary Mathematics, vol. 628 (2014), pp. 1-36, ISBN 978-0-8218-9850-5
  44. Li, Y; Williams, SA; Layton, AT, A hybrid immersed interface method for driven stokes flow in an elastic tube, Numerical Mathematics: Theory, Methods and Applications (NM-TMA), vol. 6 no. 4 (2013), pp. 600-616, ISSN 1004-8979
  45. Layton, AT; Bankir, L, Impacts of Active Urea Secretion into Pars Recta on Urine Concentration and Urea Excretion Rate., Physiological Reports, vol. 1 no. 3 (2013), pp. e00034
  46. Layton, AT, Mathematical modeling of kidney transport., Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 5 no. 5 (September, 2013), pp. 557-573
  47. Ryu, H; Layton, AT, Effect of tubular inhomogeneities on feedback-mediated dynamics of a model of a thick ascending limb., Mathematical Medicine and Biology: A Journal of the IMA, vol. 30 no. 3 (2013), pp. 191-212
  48. Haer-Wigman, L; Linthorst, GE; Sands, JM; Klein, JD; Thai, TL; Verhoeven, AJ; van Zwieten, R; Folman, C; Jansweijer, MC; Knegt, LC; de Ru, MH; Groothoff, JW; Ludwig, M; Layton, AT; Bokenkamp, A, DUPLICATION OF THE UREA TRANSPORTER B GENE (KIDD BLOOD GROUP) IN A KINDRED WITH FAMILIAL AZOTEMIA, Vox Sanguinis, vol. 105 (June, 2013), pp. 30-31
  49. Nieves-González, A; Clausen, C; Layton, AT; Layton, HE; Moore, LC, Transport efficiency and workload distribution in a mathematical model of the thick ascending limb., American journal of physiology. Renal physiology, vol. 304 no. 6 (2013), pp. F653-F664
  50. Sarah D. Olson and Anita T. Layton, Simulating Fluid-Structure Interactions --- A Review, AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, vol. 628 no. 1-36 (2013)
  51. Leiderman, K; Bouzarth, EL; Cortez, R; Layton, AT, A regularization method for the numerical solution of periodic Stokes flow, Journal of Computational Physics, vol. 236 no. 1 (2013), pp. 187-202, ISSN 0021-9991
  52. Sgouralis, I; Layton, AT, Control and modulation of fluid flow in the rat kidney, BULLETIN OF MATHEMATICAL BIOLOGY, vol. 75 (2013), pp. 2551-2574
  53. Dantzler, WH; Layton, AT; Layton, HE; Pannabecker, TL, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clinical Journal of the American Society of Nephrology. (2013), pp. doi:10.2215/CJN.08750812
  54. Sgouralis, I; Layton, AT, Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole., American journal of physiology. Renal physiology, vol. 303 no. 2 (July, 2012), pp. F229-F239
  55. Savage, NS; Layton, AT; Lew, DJ, Mechanistic mathematical model of polarity in yeast., Molecular Biology of the Cell, vol. 23 no. 10 (2012), pp. 1998-2013
  56. Layton, AT; Moore, LC; Layton, HE, Signal transduction in a compliant thick ascending limb., American journal of physiology. Renal physiology, vol. 302 no. 9 (2012), pp. F1188-F1202
  57. Layton, AT; Gilbert, RL; Pannabecker, TL, Isolated interstitial nodal spaces may facilitate preferential solute and fluid mixing in the rat renal inner medulla., American journal of physiology. Renal physiology, vol. 302 no. 7 (2012), pp. F830-F839
  58. Gilbert, RL; Pannabecker, TL; Layton, AT, Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  59. Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  60. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  61. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  62. Layton, AT; Dantzler, WH; Pannabecker, TL, Urine concentrating mechanism: impact of vascular and tubular architecture and a proposed descending limb urea-Na+ cotransporter., American journal of physiology. Renal physiology, vol. 302 no. 5 (2012), pp. F591-F605
  63. Layton, AT; Pham, P; Ryu, H, Signal transduction in a compliant short loop of Henle., International Journal for Numerical Methods in Biomedical Engineering, vol. 28 no. 3 (2012), pp. 369-383
  64. 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)
  65. Witelski, T; Ambrose, D; Bertozzi, A; Layton, A; Li, Z; Minion, M, Preface: Special issue on fluid dynamics, analysis and numerics, Discrete and Continuous Dynamical Systems - Series B, vol. 17 no. 4 (2012), pp. i-ii, ISSN 1531-3492
  66. Layton, A; Stockie, J; Li, Z; Huang, H, Preface: Special issue on fluid motion driven by immersed structures, Communications in computational physics, vol. 12 no. 2 (2012), pp. i-iii, ISSN 1815-2406
  67. Layton, AT, 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 (2012), pp. 263-270
  68. Nieves-Gonzalez, A; Clausen, C; Marcano, M; Layton, AT; Layton, HE; Moore, LC, Fluid dilution and efficiency of Na+ transport in a mathematical model of a thick ascending limb cell, American Journal of Physiology---Renal Physiology, vol. 304 no. F634-F652 (2013)
  69. Nieves-Gonzalez, A; Clausen, C; Layton, AT; Layton, HE; Moore, LC, Efficiency and workload distribution in a mathematical model of the thick ascending limb, American Journal of Physiology--Renal Physiology (2012)
  70. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, American journal of physiology. Renal physiology, vol. 303 no. 7 (2012), pp. F907-F917, ISSN 0363-6127
  71. Sgouralis, I; Layton, AT, Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole, Am J Physiol Renal Physiol, vol. 303 no. F229-F239 (2012), pp. F229-F239
  72. Layton, AT, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, vol. 2012 (2012), pp. ID: 170594, 18 pages
  73. Li, Y; Layton, AT, Accurate computation of Stokes flow driven by an open immersed interface, Journal of Computational Physics, vol. 231 no. 15 (2012), pp. 5195-5215, ISSN 0021-9991
  74. Layton, AT; Beale, JT, A partially implicit hybrid method for computing interface motion in stokes flow, Discrete and Continuous Dynamical Systems - Series B, vol. 17 no. 4 (2012), pp. 1139-1153, ISSN 1531-3492
  75. Hou, G; Wang, J; Layton, A, Numerical methods for fluid-structure interaction - A review, Communications in computational physics, vol. 12 no. 2 (2012), pp. 337-377, ISSN 1815-2406
  76. Layton, AT; Layton, HE, Countercurrent multiplication may not explain the axial osmolality gradient in the outer medulla of the rat kidney., American journal of physiology. Renal physiology, vol. 301 no. 5 (November, 2011), pp. F1047-F1056
  77. Layton, AT; Bowen, M; Wen, A; Layton, HE, Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs., Mathematical Biosciences, vol. 230 no. 2 (2011), pp. 115-127
  78. Layton, AT, Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  79. Nieves-Gonzalez, A; Clausen, C; Marcano, M; Layton, HE; Layton, AT; Moore, LC, Efficiency of sodium transport in a model of the Thick Ascending Limb (TAL), The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  80. Pannabecker, TL; Layton, AT, Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  81. Layton, AT; Sgouralis, I; Layton, H; Moore, L, Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  82. Nieves-Gonzalez, A; Clausen, C; Layton, HE; Layton, AT; Moore, LC, Dynamical Properties of the Thick Ascending Limb (TAL): A Modeling Study, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  83. Chen, J; Sgouralis, I; Moore, LC; Layton, HE; Layton, AT, A mathematical model of the myogenic response to systolic pressure in the afferent arteriole., American journal of physiology. Renal physiology, vol. 300 no. 3 (2011), pp. F669-F681
  84. Layton, AT; Savage, NS; Howell, AS; Carroll, SY; Drubin, DG; Lew, DJ, Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment., Current Biology, vol. 21 no. 3 (February, 2011), pp. 184-194
  85. Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla. II. Functional implications of three-dimensional architecture., American journal of physiology. Renal physiology, vol. 300 no. 2 (February, 2011), pp. F372-F384
  86. Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla. I. Formulation and base-case results., American journal of physiology. Renal physiology, vol. 300 no. 2 (February, 2011), pp. F356-F371
  87. Bouzarth, EL; Layton, AT; Young, Y-N, Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets, International Journal for Numerical Methods in Biomedical Engineering, vol. 27 no. 12 (2011), pp. 2021-2034, ISSN 2040-7939
  88. Edwards, A; Layton, AT, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide, Am J Physiol Renal Physiol, vol. 301 no. F979-F996 (2011), pp. F979-F996, ISSN 0363-6127
  89. Lei, T; Zhou, L; Layton, AT; Zhou, H; Zhao, X; Bankir, L; Yang, B, Role of thin descending limb urea transport in renal urea handling and the urine concentrating mechanism, American journal of physiology. Renal physiology, vol. 301 no. 6 (2011), pp. F1251-F1259, ISSN 0363-6127
  90. Layton, AT; Layton, HE, Countercurrent multiplication may not explain the axial osmolality gradient, Am J Physiol Renal Physiol, vol. 301 no. 5 (2011), pp. F1047-F1056
  91. Dantzler, WH; Pannabecker, TL; Layton, AT; Layton, HE, 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, ISSN 1748-1716
  92. Layton, AT, 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), pp. F372-F384
  93. Layton, AT, 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), pp. F356-F371
  94. Layton, AT; Savage, NS; Howell, AS; Carroll, SY; Drubin, DG; Lew, DJ, Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment, Curr Biol, vol. 21 no. 3 (2011), pp. 1-11
  95. Edwards, A; Layton, AT, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide, American journal of physiology. Renal physiology, vol. 301 no. 5 (2011), pp. F979-F996, ISSN 0363-6127
  96. Layton, AT, Feedback-mediated dynamics in a model of a compliant thick ascending limb., Mathematical Biosciences, vol. 228 no. 2 (December, 2010), pp. 185-194
  97. Chen, J; Edwards, A; Layton, AT, Effects of pH and medullary blood flow on oxygen transport and sodium reabsorption in the rat outer medulla., American journal of physiology. Renal physiology, vol. 298 no. 6 (June, 2010), pp. F1369-F1383
  98. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Hyperfiltration and inner stripe hypertrophy may explain findings by Gamble and coworkers., American journal of physiology. Renal physiology, vol. 298 no. 4 (2010), pp. F962-F972
  99. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Functional implications of the three-dimensional architecture of the rat renal inner medulla., American journal of physiology. Renal physiology, vol. 298 no. 4 (2010), pp. F973-F987
  100. Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  101. Gilbert, RL; Pannabecker, TL; Layton, AT, Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  102. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  103. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  104. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  105. Layton, HE; Chen, J; Moore, LC; Layton, AT, A mathematical model of the afferent arteriolar smooth muscle cell, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  106. Nieves-Gonzalez, A; Moore, LC; Clausen, C; Marcano, M; Layton, HE; Layton, AT, Efficiency of sodium transport in the thick ascending limb, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  107. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis., Journal of Theoretical Biology, vol. 262 no. 2 (January, 2010), pp. 295-305
  108. Layton, AT; Edwards, A, Tubuloglomerular feedback signal transduction in a short loop of henle., Bulletin of Mathematical Biology, vol. 72 no. 1 (2010), pp. 34-62
  109. Loreto, M; Layton, AT, An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney., Mathematical Biosciences, vol. 223 no. 1 (2010), pp. 66-78
  110. Marcano, M; Layton, AT; Layton, HE, Maximum urine concentrating capability in a mathematical model of the inner medulla of the rat kidney, Bulletin of Mathematical Biology, vol. 72 no. 2 (2010), pp. 314-339, ISSN 0092-8240
  111. Layton, AT, Feedback-mediated dynamics in a model of a compliant thick ascending limb, Math Biosci, vol. 228 no. 185-194 (2010), pp. 185-194
  112. Wang, J; Layton, A, New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches, Applied Numerical Mathematics, vol. 60 no. 6 (2010), pp. 645-657, ISSN 0168-9274
  113. Edwards, A; Layton, AT, Nitric oxide and superoxide transport in a cross section of the rat outer medulla. II. Reciprocal interactions and tubulovascular cross talk, American journal of physiology. Renal physiology, vol. 299 no. 3 (2010), pp. F634-F647, ISSN 0363-6127
  114. Edwards, A; Layton, AT, Nitric oxide and superoxide transport in a cross section of the rat outer medulla. I. Effects of low medullary oxygen tension, American journal of physiology. Renal physiology, vol. 299 no. 3 (2010), pp. F616-F633, ISSN 0363-6127
  115. Chen, J; Edwards, A; Layton, AT, 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), pp. F1369-F1383
  116. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., vol. 2 no. 21 (2010), pp. 295-305
  117. Marcano, M; Layton, AT; Layton, HE, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, Bull. Math. Biol., vol. 7 no. 2 (2010), pp. 314-339
  118. Layton, AT; Toyama, Y; Yang, G-Q; Edwards, GS; Kiehart, DP; Venakides, S, Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure., HFSP Journal, vol. 3 no. 6 (2010), pp. 441-460
  119. Layton, AT; Layton, HE; Dantzler, WH; Pannabecker, TL, The mammalian urine concentrating mechanism: hypotheses and uncertainties., Physiology (Bethesda, Md.), vol. 24 (August, 2009), pp. 250-256, ISSN 1548-9213
  120. Layton, AT; Moore, LC; Layton, HE, Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons., Bulletin of Mathematical Biology, vol. 71 no. 3 (2009), pp. 515-555
  121. Edwards, A; Chen, J; Layton, AT, Impact of Rat Outer Medullary Architecture on Oxygen Distribution, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 23 (April, 2009)
  122. Layton, AT; Moore, LC; Layton, HE, Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 23 (April, 2009)
  123. Chen, J; Edwards, A; Layton, AT, A mathematical model of O2 transport in the rat outer medulla. II. Impact of outer medullary architecture, American journal of physiology. Renal physiology, vol. 297 no. 2 (2009), pp. F537-F548, ISSN 0363-6127
  124. Chen, J; Layton, AT; Edwards, A, A mathematical model of O2 transport in the rat outer medulla. I. Model formulation and baseline results, American journal of physiology. Renal physiology, vol. 297 no. 2 (2009), pp. F517-F536, ISSN 0363-6127
  125. Layton, AT, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Applied Numerical Mathematics, vol. 59 no. 7 (2009), pp. 1629-1643, ISSN 0168-9274
  126. Beale, JT; Layton, AT, A velocity decomposition approach for moving interfaces in viscous fluids, Journal of Computational Physics, vol. 228 no. 9 (2009), pp. 3358-3367, ISSN 0021-9991
  127. Layton, AT, Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces, Computers & Fluids, vol. 38 no. 2 (2009), pp. 266-272, ISSN 0045-7930
  128. Wang, J; Layton, A, Numerical simulations of fiber sedimentation in Navier-stokes flows, Communications in computational physics, vol. 5 no. 1 (2008), pp. 61-83, ISSN 1815-2406
  129. Layton, HE; Moore, LC; Layton, AT, Tubuloglomerular feedback signal transduction in a model of a compliant thick ascending limb, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 22 (April, 2008)
  130. Pannabecker, TL; Dantzler, WH; Layton, AT; Layton, HE, Three-dimensional reconstructions of rat renal inner medulla suggest two anatomically separated countercurrent mechanisms for urine concentration, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 22 (April, 2008)
  131. Pannabecker, TL; Dantzler, WH; Layton, HE; Layton, AT, Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla, American journal of physiology. Renal physiology, vol. 295 no. 5 (2008), pp. F1271-F1285, ISSN 0363-6127
  132. Layton, AT, An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary, Computer Methods in Applied Mechanics and Engineering, vol. 197 no. 25-28 (2007), pp. 2147-2155, ISSN 0045-7825
  133. Layton, AT, On the choice of correctors for semi-implicit Picard deferred correction methods, Applied Numerical Mathematics, vol. 58 no. 6 (2008), pp. 845-858, ISSN 0168-9274
  134. Layton, AT, Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney., Bulletin of Mathematical Biology, vol. 69 no. 3 (2007), pp. 887-929, ISSN 0092-8240
  135. Marcano, M; Layton, AT; Layton, HE, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 21 no. 6 (April, 2007), pp. A905-A905
  136. Layton, HE; Layton, AT; Moore, LC, A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 21 no. 6 (April, 2007), pp. A828-A828
  137. Layton, AT; Minion, ML, 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
  138. Layton, AT; Moore, LC; Layton, HE, Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats., American Journal of Physiology: Renal Physiology, vol. 291 no. 1 (2006), pp. F79-F97, ISSN 1931-857X
  139. Marcano, M; Layton, AT; Layton, HE, Estimation of collecting duct parameters for maximum urine concentrating capability in a mathematical model of the rat inner medulla, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 20 no. 5 (March, 2006), pp. A1224-A1224
  140. Moore, LC; Siu, KL; Layton, AT; Layton, HE; Chon, KH, Evidence for multi-stability of the tubuloglomerular feedback system in spontaneously-hypertensive rats (SHR), The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 20 no. 4 (March, 2006), pp. A762-A762
  141. Layton, AT; Moore, LC; Layton, HE, Dynamics in coupled nephrons may contribute to irregular flow oscillations in spontaneously hypertensive rats, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 20 no. 4 (March, 2006), pp. A759-A759
  142. Layton, AT; Christara, CC; Jackson, KR, Quadratic spline methods for the shallow water equations on the sphere: Galerkin, Mathematics and Computers in Simulation, vol. 71 no. 3 (2006), pp. 175-186, ISSN 0378-4754
  143. Layton, AT; Christara, CC; Jackson, KR, Quadratic spline methods for the shallow water equations on the sphere: Collocation, Mathematics and Computers in Simulation, vol. 71 no. 3 (2006), pp. 187-205, ISSN 0378-4754
  144. Layton, AT, Modeling water transport across elastic boundaries using an explicit jump method, SIAM Journal on Scientific Computing, vol. 28 no. 6 (2006), pp. 2189-2207, ISSN 1064-8275
  145. Beale, JT; Layton, AT, On the accuracy of finite difference methods for elliptic problems with interfaces, Commun. Appl. Math. Comput. Sci., vol. 1 no. 1 (2006), pp. 91-119
  146. Marcano, M; Layton, AT; Layton, HE, An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism, Bulletin of Mathematical Biology, vol. 68 no. 7 (2006), pp. 1625-1660, ISSN 0092-8240
  147. Layton, AT; Christara, CC; Jackson, KR, Optimal quadratic spline collocation methods for the shallow water equations on the sphere, Math. Comput. Simul., vol. 71 no. 3 (2006), pp. 187-205
  148. Layton, AT; Christara, CC; Jackson, KR, Quadratic spline Galerkin method for the shallow water equations on the sphere, Math. Comput. Simul., vol. 71 no. 3 (2006), pp. 175-186
  149. Thomas, SR; Layton, AT; Layton, HE; Moore, LC, Kidney modeling: Status and perspectives, Proceedings of the Institute of Electrical and Electronics Engineers (IEEE), vol. 94 no. 4 (2006), pp. 740-752, ISSN 0018-9219
  150. Layton, AT; Layton, HE, 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, vol. 289 no. 6 (2005), pp. F1346-F1366, ISSN 1931-857X
  151. Layton, AT; Layton, HE, 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, vol. 289 no. 6 (2005), pp. F1367-F1381, ISSN 1931-857X
  152. Layton, AT, Role of structural organization in the urine concentrating mechanism of an avian kidney., Mathematical Biosciences, vol. 197 no. 2 (2005), pp. 211-230, ISSN 0025-5564
  153. Marcano, M; Layton, AT; Layton, HE, An optimization algorithm for a model of the urine concentrating mechanism in rat inner medulla, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 19 no. 4 (March, 2005), pp. A150-A150
  154. Layton, AT; Layton, HE, A mathematical model of the urine concentrating mechanism of the inner medulla of the chinchilla kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 19 no. 4 (March, 2005), pp. A149-A149
  155. Layton, AT; Minion, ML, Implications of the choice of quadrature nodes for Picard Integral deferred correction methods, BIT, vol. 45 no. 2 (2005), pp. 341-373
  156. Layton, AT, A methodology for tracking solute distribution in mathematical models of the kidney, J. Biol. Sys., vol. 13 no. 4 (2005), pp. 1-21, ISSN 0218-3390
  157. Layton, AT; Minion, ML, Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations, BIT Numerical Mathematics, vol. 45 no. 2 (2005), pp. 341-373
  158. Layton, AT, A methodology for tracking solute distribution in a mathematical model of the kidney, Journal of Biological Systems, vol. 13 no. 4 (2005), pp. 399-419, ISSN 0218-3390
  159. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Effects of structural organization on the urine concentrating mechanism of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 18 no. 5 (March, 2004), pp. A1021-A1021
  160. 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)
  161. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Two modes for concentrating urine in rat inner medulla, American Journal of Physiology - Renal Physiology, vol. 287 no. 4 56-4 (2004), pp. F816-F839
  162. Layton, AT; Minion, ML, Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics, Journal of Computational Physics, vol. 194 no. 2 (2004), pp. 697-715
  163. Layton, HE; Layton, AT, Impaired countercurrent exchange in a mathematical model of a urine concentrating mechanism lacking UT-B urea transporter., Journal of the American Society of Nephrology : JASN, vol. 14 (November, 2003), pp. 76A-76A
  164. Layton, AT; Layton, HE, A method for tracking solute distribution in mathematical models of the urine concentrating mechanism (UCM), The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 17 no. 4 (March, 2003), pp. A485-A485
  165. 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)
  166. 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)
  167. Layton, AT; Layton, HE, A region-based model framework for the rat urine concentrating mechanism, Bull. Math. Biol., vol. 65 no. 6 (2003), pp. 859-901
  168. Bourlioux, A; Layton, AT; Minion, ML, High-order multi-implicit spectral deferred correction methods for problems of reactive flow, Journal of Computational Physics, vol. 189 no. 2 (2003), pp. 651-675
  169. Layton, AT; Spotz, WF, A semi-Lagrangian double Fourier method for the shallow water equations on the sphere, Journal of Computational Physics, vol. 189 no. 1 (2003), pp. 180-196
  170. Layton, AT, A semi-Lagrangian collocation method for the shallow water equations on the sphere, SIAM Journal on Scientific Computing, vol. 24 no. 4 (2003), pp. 1433-1449, ISSN 1064-8275
  171. Layton, AT; Layton, HE, An efficient numerical method for distributed-loop models of the urine concentrating mechanism, Mathematical Biosciences, vol. 181 no. 2 (2003), pp. 111-132
  172. Layton, AT; Layton, HE, A region-based model framework for the rat urine concentrating mechanism, Bulletin of Mathematical Biology, vol. 65 no. 5 (2003), pp. 859-901
  173. Layton, AT; Moore, LC; Layton, HE, Internephron coupling may contribute to emergence of irregular oscillations mediated by tubuloglomerular feedback., Journal of the American Society of Nephrology : JASN, vol. 13 (September, 2002), pp. 333A-333A
  174. Layton, AT; Layton, HE, A mathematical model of the urine concentrating mechanism in the outer medulla of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 16 no. 4 (March, 2002), pp. A51-A51
  175. Layton, AT; Layton, HE, 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, ISSN 0303-6812
  176. Layton, AT; Panne, MVD, A numerically efficient and stable algorithm for animating water waves, The Visual Computer, vol. 18 no. 1 (2002), pp. 41-53, ISSN 0178-2789
  177. Layton, AT; Layton, HE, 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, ISSN 1064-8275
  178. Layton, AT, Cubic spline collocation method for the shallow water equations on the sphere, Journal of Computational Physics, vol. 179 no. 2 (2002), pp. 578-592, ISSN 0021-9991
  179. Layton, AT; Layton, HE, A semi-lagrangian semi-implicit numerical method for models of the urine concentrating mechanism, SIAM Journal on Scientific Computing, vol. 23 no. 5 (2002), pp. 1526-1548, ISSN 1064-8275
  180. Layton, AT; Layton, HE, A numerical method for renal models that represent tubules with abrupt changes in membrane properties, Journal of Mathematical Biology, vol. 45 no. 6 (2002), pp. 549-567, ISSN 0303-6812
  181. 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. Layton, AT; Vallon, V; Edwards, A, Predicted consequences of diabetes and SGLT inhibition on transport and oxygen consumption along a rat nephron., American Journal of Physiology: Renal Physiology, vol. 310 no. 11 (June, 2016), pp. F1269-F1283
  2. Liu, R; Layton, AT, Modeling the effects of positive and negative feedback in kidney blood flow control., Mathematical Biosciences, vol. 276 (2016), pp. 8-18
  3. Anita T. Layton and Aurelie Edwards, Introduction to mathematical modeling of blood flow control in the kidney, in AWM proceedings for NIMBioS WS for Women in Mathematical Biology (2015)
  4. Veronica Ciocanel, Tracy L. Stepien, Aur´elie Edwards, and Anita T. Layton, Modeling autoregulation of the afferent arteriole of the rat kidney, AWM proceedings for NIMBioS WS for Women in Mathematical Biology, in press (2015)
  5. Ioannis Sgouralis and Anita T. Layton, Modeling blood flow and oxygenation in a diabetic rat kidney, in AWM proceedings for NIMBioS WS for Women in Mathematical Biology, in press (2015)
  6. Gregory J. Herschlag, Jian-Guo Liu, and Anita T. Layton, An exact solution for Stokes flow in an infinite channel with permeable walls, SIAM Appl Math, in press (2015)
  7. Tal Burt, Douglas C. Rouse, Kihak Lee, Huali Wu, Anita T. Layton, Thomas C. Hawk, Douglas H. Weitzel, Bennett B. Chin, Michael Cohen-Wolkowiez, Shein-Chung Chow, and Robert J. Noveck, Intra-arterial microdosing (IAM), a novel drug development approach,proof of concept in rodents, CPT: Pharmacometrics and Systems Pharmacology, in press (2015)
  8. Ioannis Sgouralis and Anita T. Layton, Conduction of feedback-mediated signal in a computational model of coupled nephron, Med Math Biol, in press (2014)

Papers Submitted

  1. Sgouralis, I; Evans, RG; Layton, AT, Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat., Mathematical Medicine and Biology: A Journal of the IMA, vol. 34 no. 3 (September, 2017), pp. 313-333
  2. Chen, Y; Fry, BC; Layton, AT, Modeling Glucose Metabolism in the Kidney., Bulletin of Mathematical Biology, vol. 78 no. 6 (June, 2016), pp. 1318-1336
  3. Nganguia, H; Young, Y-N; Layton, AT; Lai, M-C; Hu, W-F, Electrohydrodynamics of a viscous drop with inertia., Physical review. E, vol. 93 no. 5 (May, 2016), pp. 053114
  4. Sgouralis, I; Maroulas, V; Layton, AT, Transfer Function Analysis of Dynamic Blood Flow Control in the Rat Kidney., Bulletin of Mathematical Biology, vol. 78 no. 5 (May, 2016), pp. 923-960
  5. Gregory Herschlag, Jian-Guo Liu, and Anita T. Layton, Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit, Phys Fluids, submitted (2015)
  6. Anita T. Layton, Tracking the distribution of a solute bolus in the rat kidney, in AWM proceedings for NIMBioS WS for Women in Mathematical Biology, submitted (2015)
  7. Gabor E. Linthorst, Lonneke Haer-Wigman, Jeff M. Sands, Janet D. Klein, Tiffany L. Thai, Arthur J. Verhoeven, Rob van Zwieten, Maaike C. Jansweijer, Alida C. Knegt, Minke H. de Ru, Jaap W. Groothoff, Michael Ludwig, Anita T. Layton, and Arend Bökenkamp, Familial azotemia caused by a duplication of the UT-B transporter, J Am Soc Nephrol, submitted (2012)

Last modified: 2017/11/19