Publications of Anita T. Layton

Books

  1. Layton, AT; Miller, LA, Preface, vol. 8 (January, 2017), pp. v-vi
  2. Layton, AT; Miller, LA, Erratum: Women in Mathematical Biology (Association for Women in Mathematics Series, 2017, 8, 10.1007/978-3-319-60304-9), vol. 8 (January, 2017), pp. E1
  3. Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)
  4. 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
  5. 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)
  6. 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. Ahmed, S; Layton, AT, Sex-specific computational models for blood pressure regulation in the rat., American Journal of Physiology. Renal Physiology, vol. 318 no. 4 (April, 2020), pp. F888-F900
  2. Edwards, A; Palm, F; Layton, AT, A model of mitochondrial O2 consumption and ATP generation in rat proximal tubule cells., American Journal of Physiology. Renal Physiology, vol. 318 no. 1 (January, 2020), pp. F248-F259
  3. Hu, R; McDonough, AA; Layton, AT, Functional implications of the sex differences in transporter abundance along the rat nephron: modeling and analysis., American Journal of Physiology. Renal Physiology, vol. 317 no. 6 (December, 2019), pp. F1462-F1474
  4. Layton, AT, Solute and water transport along an inner medullary collecting duct undergoing peristaltic contractions., American Journal of Physiology. Renal Physiology, vol. 317 no. 3 (September, 2019), pp. F735-F742
  5. Layton, AT, Multiscale models of kidney function and diseases, Current Opinion in Biomedical Engineering, vol. 11 (September, 2019), pp. 1-8
  6. Sadria, M; Karimi, S; Layton, AT, Network centrality analysis of eye-gaze data in autism spectrum disorder., Computers in Biology and Medicine, vol. 111 (August, 2019), pp. 103332
  7. Ahmed, S; Hu, R; Leete, J; Layton, AT, Understanding sex differences in long-term blood pressure regulation: insights from experimental studies and computational modeling., American Journal of Physiology Heart and Circulatory Physiology, vol. 316 no. 5 (May, 2019), pp. H1113-H1123
  8. Fattah, H; Layton, A; Vallon, V, How Do Kidneys Adapt to a Deficit or Loss in Nephron Number?, Physiology (Bethesda, Md.), vol. 34 no. 3 (May, 2019), pp. 189-197
  9. Layton, AT, Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases., Biological Cybernetics, vol. 113 no. 1-2 (April, 2019), pp. 139-148
  10. Layton, AT; Layton, HE, A computational model of epithelial solute and water transport along a human nephron., Plos Computational Biology, vol. 15 no. 2 (February, 2019), pp. e1006108
  11. Layton, AT; Sullivan, JC, Recent advances in sex differences in kidney function., American Journal of Physiology. Renal Physiology, vol. 316 no. 2 (February, 2019), pp. F328-F331
  12. Layton, AT, Recent advances in renal epithelial transport., American Journal of Physiology. Renal Physiology, vol. 316 no. 2 (February, 2019), pp. F274-F276
  13. Leete, J; Layton, AT, Sex-specific long-term blood pressure regulation: Modeling and analysis., Computers in Biology and Medicine, vol. 104 (January, 2019), pp. 139-148
  14. Li, Q; McDonough, AA; Layton, HE; Layton, AT, Functional implications of sexual dimorphism of transporter patterns along the rat proximal tubule: modeling and analysis., American Journal of Physiology. Renal Physiology, vol. 315 no. 3 (September, 2018), pp. F692-F700
  15. Wei, N; Gumz, ML; Layton, AT, Predicted effect of circadian clock modulation of NHE3 of a proximal tubule cell on sodium transport., American Journal of Physiology. Renal Physiology, vol. 315 no. 3 (September, 2018), pp. F665-F676
  16. Layton, AT; Vallon, V, Renal tubular solute transport and oxygen consumption: insights from computational models., Current Opinion in Nephrology and Hypertension, vol. 27 no. 5 (September, 2018), pp. 384-389
  17. Ciocanel, MV; Stepien, TL; Sgouralis, I; Layton, AT, A multicellular vascular model of the renal myogenic response, Processes, vol. 6 no. 7 (July, 2018)
  18. Layton, AT, Sweet success? SGLT2 inhibitors and diabetes., American Journal of Physiology. Renal Physiology, vol. 314 no. 6 (June, 2018), pp. F1034-F1035
  19. Layton, AT; Vallon, V, SGLT2 inhibition in a kidney with reduced nephron number: modeling and analysis of solute transport and metabolism., American Journal of Physiology. Renal Physiology, vol. 314 no. 5 (May, 2018), pp. F969-F984
  20. Leete, J; Gurley, S; Layton, A, Modeling Sex Differences in the Renin Angiotensin System and the Efficacy of Antihypertensive Therapies., Computers & Chemical Engineering, vol. 112 (April, 2018), pp. 253-264, Elsevier BV
  21. Layton, AT; Edwards, A; Vallon, V, Renal potassium handling in rats with subtotal nephrectomy: modeling and analysis., American Journal of Physiology. Renal Physiology, vol. 314 no. 4 (April, 2018), pp. F643-F657
  22. Layton, AT; Vallon, V, Cardiovascular benefits of SGLT2 inhibition in diabetes and chronic kidney diseases., Acta Physiologica, vol. 222 no. 4 (April, 2018), pp. e13050
  23. Wei, N; Layton, AT, Theoretical assessment of the Ca 2 + oscillations in the afferent arteriole smooth muscle cell of the rat kidney, International Journal of Biomathematics, vol. 11 no. 3 (April, 2018), pp. 1850043-1850043, World Scientific Pub Co Pte Lt
  24. Edwards, A; Layton, AT, Cell Volume Regulation in the Proximal Tubule of Rat Kidney : Proximal Tubule Cell Volume Regulation., Bulletin of Mathematical Biology, vol. 79 no. 11 (November, 2017), pp. 2512-2533
  25. 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
  26. 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
  27. 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
  28. 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
  29. Chen, Y; Fry, BC; Layton, AT, Modeling glucose metabolism and lactate production in the kidney., Mathematical Biosciences, vol. 289 (July, 2017), pp. 116-129
  30. Layton, AT, A new microscope for the kidney: mathematics., American Journal of Physiology. Renal Physiology, vol. 312 no. 4 (April, 2017), pp. F671-F672
  31. 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
  32. Sgouralis, I; Layton, AT, Modeling Blood Flow and Oxygenation in a Diabetic Rat Kidney, vol. 8 (January, 2017), pp. 101-113
  33. Layton, AT, Tracking the Distribution of a Solute Bolus in the Rat Kidney, vol. 8 (January, 2017), pp. 115-136
  34. Layton, AT; Edwards, A, Introduction to Mathematical Modeling of Blood Flow Control in the Kidney, vol. 8 (January, 2017), pp. 63-73
  35. Ciocanel, MV; Stepien, TL; Edwards, A; Layton, AT, Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney, vol. 8 (January, 2017), pp. 75-100
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. Liu, R; Layton, AT, Modeling the effects of positive and negative feedback in kidney blood flow control., Mathematical Biosciences, vol. 276 (June, 2016), pp. 8-18
  42. 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
  43. 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
  44. 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
  45. Herschlag, G; Liu, JG; 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, AIP Publishing
  46. 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
  47. 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 (February, 2016), pp. F237-F247
  48. 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., Am J Physiol Renal Physiol, vol. 310 no. 2 (January, 2016), pp. F174-F182
  49. 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
  50. 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
  51. 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, Elsevier BV
  52. Nganguia, H; Young, YN; Layton, AT; Hu, WF; Lai, MC, An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow, Communications in Computational Physics, vol. 18 no. 2 (July, 2015), pp. 429-449, Global Science Press, ISSN 1815-2406
  53. 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
  54. 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
  55. 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
  56. 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 (May, 2015), pp. F967-F980, ISSN 1931-857X
  57. Ford Versypt, AN; Makrides, E; Arciero, JC; Ellwein, L; Layton, AT, Bifurcation study of blood flow control in the kidney., Mathematical Biosciences, vol. 263 (May, 2015), pp. 169-179
  58. 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 (January, 2015)
  59. Fields, B; Page, K, Preface, vol. 2015-June (January, 2015), ISBN 9781450335638
  60. Herschlag, G; Liu, JG; 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, Society for Industrial & Applied Mathematics (SIAM)
  61. Anita T. Layton, Mathematical physiology, in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham (2015), ISBN 978-0691150390
  62. 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
  63. 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
  64. Li, Y; Sgouralis, I; Layton, AT, Computing viscous flow in an elastic tube, Numerical Mathematics, vol. 7 no. 4 (November, 2014), pp. 555-574, ISSN 1004-8979
  65. Dantzler, WH; Layton, AT; Layton, HE; Pannabecker, TL, Urine-concentrating mechanism in the inner medulla: function of the thin limbs of the loops of Henle., Clinical Journal of the American Society of Nephrology : Cjasn, vol. 9 no. 10 (October, 2014), pp. 1781-1789
  66. 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
  67. 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
  68. 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
  69. Sgouralis, I; Layton, AT, Theoretical assessment of renal autoregulatory mechanisms., American Journal of Physiology. Renal Physiology, vol. 306 no. 11 (June, 2014), pp. F1357-F1371, ISSN 1931-857X
  70. 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 (May, 2014), pp. F952-F969, ISSN 1931-857X
  71. 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 (March, 2014), pp. 1023-1049, ISSN 0303-6812
  72. Layton, AT, Mathematical modeling of urea transport in the kidney., in Urea Transporters, edited by Baoxue Yang, Sub Cellular Biochemistry, vol. 73 (January, 2014), pp. 31-43, Springer, ISSN 0306-0225
  73. 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 (January, 2014), pp. F34-F48
  74. Layton, A, Impacts of Facilitated Urea Transporters on the Urine-Concentrating Mechanism in the Rat Kidney, Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 628 (2014), pp. 191-208, American Mathematical Society, ISBN 9780821898505
  75. Ryu, H; Layton, A, Feedback-Mediated Dynamics in a Model of Coupled Nephrons with Compliant Short Loop of Henle, Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 628 (2014), pp. 209-238, American Mathematical Society, ISBN 9780821898505
  76. Olson, S; Layton, A, Simulating Biofluid-Structure Interactions with an Immersed Boundary Framework – A Review, Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 628 (2014), pp. 1-36, American Mathematical Society, ISBN 9780821898505
  77. Sgouralis, I; Layton, AT, Control and modulation of fluid flow in the rat kidney., Bulletin of Mathematical Biology, vol. 75 no. 12 (December, 2013), pp. 2551-2574
  78. Layton, AT, Mathematical modeling of kidney transport., Wiley Interdisciplinary Reviews. Systems Biology and Medicine, vol. 5 no. 5 (September, 2013), pp. 557-573
  79. 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 (September, 2013), pp. 191-212
  80. 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 (September, 2013), pp. e00034
  81. 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, WILEY-BLACKWELL
  82. 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 (March, 2013), pp. F653-F664
  83. Nieves-González, 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. 6 (March, 2013), pp. F634-F652
  84. 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 (March, 2013), pp. 187-202, Elsevier BV, ISSN 0021-9991
  85. Li, Y; Williams, SA; Layton, AT, A hybrid immersed interface method for driven stokes flow in an elastic tube, Numerical Mathematics, vol. 6 no. 4 (January, 2013), pp. 600-616, ISSN 1004-8979
  86. 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)
  87. 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 (October, 2012), pp. F907-F917, ISSN 0363-6127
  88. 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 (August, 2012), pp. i-iii, ISSN 1815-2406
  89. Hou, G; Wang, J; Layton, A, Numerical methods for fluid-structure interaction - A review, Communications in Computational Physics, vol. 12 no. 2 (August, 2012), pp. 337-377, Global Science Press, ISSN 1815-2406
  90. Layton, AT, Modeling Transport and Flow Regulatory Mechanisms of the Kidney., Isrn Biomathematics, vol. 2012 no. 2012 (July, 2012), pp. ID: 170594, 18 pages
  91. 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
  92. 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 (June, 2012), pp. i-ii, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492
  93. Li, Y; Layton, AT, Accurate computation of Stokes flow driven by an open immersed interface, Journal of Computational Physics, vol. 231 no. 15 (June, 2012), pp. 5195-5215, Elsevier BV, ISSN 0021-9991
  94. 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 (June, 2012), pp. 1139-1153, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492
  95. Savage, NS; Layton, AT; Lew, DJ, Mechanistic mathematical model of polarity in yeast., Molecular Biology of the Cell, vol. 23 no. 10 (May, 2012), pp. 1998-2013
  96. Layton, AT; Moore, LC; Layton, HE, Signal transduction in a compliant thick ascending limb., American Journal of Physiology. Renal Physiology, vol. 302 no. 9 (May, 2012), pp. F1188-F1202
  97. 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 (April, 2012), pp. F830-F839
  98. Gilbert, RL; Pannabecker, TL; Layton, AT, Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney, Faseb Journal, vol. 26 (April, 2012), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  99. Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter, Faseb Journal, vol. 26 (April, 2012)
  100. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, Faseb Journal, vol. 26 (April, 2012), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  101. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, Faseb Journal, vol. 26 (April, 2012)
  102. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Faseb Journal, vol. 26 (April, 2012)
  103. Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter, Faseb Journal, vol. 26 (April, 2012), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  104. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, Faseb Journal, vol. 26 (April, 2012), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  105. Layton, AT; Wei, G, Interface methods for biological and biomedical problems., International Journal for Numerical Methods in Biomedical Engineering, vol. 28 no. 3 (March, 2012), pp. 289-290, ISSN 2040-7939
  106. 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 (March, 2012), pp. F591-F605
  107. 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 (March, 2012), pp. 369-383
  108. 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)
  109. 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
  110. 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)
  111. 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
  112. Bouzarth, EL; Layton, AT; Young, YN, Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets, International Journal for Numerical Methods in Biomedical Engineering, vol. 27 no. 12 (December, 2011), pp. 2021-2034, WILEY, ISSN 2040-7939
  113. 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 (December, 2011), pp. F1251-F1259, ISSN 0363-6127
  114. 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
  115. 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 (November, 2011), pp. F979-F996, ISSN 0363-6127
  116. 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 (July, 2011), pp. 361-378, ISSN 1748-1716
  117. 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 (April, 2011), pp. 115-127
  118. Layton, AT, Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney, Faseb Journal, vol. 25 (April, 2011), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  119. 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), Faseb Journal, vol. 25 (April, 2011), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  120. Pannabecker, TL; Layton, AT, Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing, Faseb Journal, vol. 25 (April, 2011), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  121. Layton, AT; Sgouralis, I; Layton, H; Moore, L, Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole, Faseb Journal, vol. 25 (April, 2011), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  122. Nieves-Gonzalez, A; Clausen, C; Layton, HE; Layton, AT; Moore, LC, Dynamical Properties of the Thick Ascending Limb (TAL): A Modeling Study, Faseb Journal, vol. 25 (April, 2011), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  123. 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 (March, 2011), pp. F669-F681
  124. 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 (February, 2011), pp. 184-194
  125. 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
  126. 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
  127. 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
  128. 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
  129. 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
  130. 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
  131. 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
  132. 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
  133. 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 (September, 2010), pp. F634-F647, ISSN 0363-6127
  134. 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 (September, 2010), pp. F616-F633, ISSN 0363-6127
  135. 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 (June, 2010), pp. 645-657, Elsevier BV, ISSN 0168-9274
  136. 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
  137. 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 (April, 2010), pp. F962-F972
  138. 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 (April, 2010), pp. F973-F987
  139. Gilbert, RL; Pannabecker, TL; Layton, AT, Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney, Faseb Journal, vol. 24 (April, 2010)
  140. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, Faseb Journal, vol. 24 (April, 2010)
  141. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Faseb Journal, vol. 24 (April, 2010)
  142. Layton, HE; Chen, J; Moore, LC; Layton, AT, A mathematical model of the afferent arteriolar smooth muscle cell, Faseb Journal, vol. 24 (April, 2010), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  143. Nieves-Gonzalez, A; Moore, LC; Clausen, C; Marcano, M; Layton, HE; Layton, AT, Efficiency of sodium transport in the thick ascending limb, Faseb Journal, vol. 24 (April, 2010), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  144. 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 (February, 2010), pp. 314-339, ISSN 0092-8240
  145. Layton, AT; Edwards, A, Tubuloglomerular feedback signal transduction in a short loop of henle., Bulletin of Mathematical Biology, vol. 72 no. 1 (January, 2010), pp. 34-62
  146. 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 (January, 2010), pp. 66-78
  147. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis., Journal of Theoretical Biology, vol. 262 no. 2 (January, 2010), pp. 295-305
  148. 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
  149. 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
  150. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., vol. 2 no. 21 (2010), pp. 295-305
  151. 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
  152. 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 (December, 2009), pp. 441-460
  153. 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 (August, 2009), pp. F537-F548, ISSN 0363-6127
  154. 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 (August, 2009), pp. F517-F536, ISSN 0363-6127
  155. 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
  156. Layton, AT, On the efficiency of spectral deferred correction methods for time-dependent partial differential equations, Applied Numerical Mathematics, vol. 59 no. 7 (July, 2009), pp. 1629-1643, Elsevier BV, ISSN 0168-9274
  157. Beale, JT; Layton, AT, A velocity decomposition approach for moving interfaces in viscous fluids, Journal of Computational Physics, vol. 228 no. 9 (May, 2009), pp. 3358-3367, Elsevier BV, ISSN 0021-9991
  158. 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 (April, 2009), pp. 515-555
  159. Edwards, A; Chen, J; Layton, AT, Impact of Rat Outer Medullary Architecture on Oxygen Distribution, Faseb Journal, vol. 23 (April, 2009), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  160. Layton, AT; Moore, LC; Layton, HE, Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow, Faseb Journal, vol. 23 (April, 2009)
  161. Layton, AT, Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces, Computers & Fluids, vol. 38 no. 2 (February, 2009), pp. 266-272, Elsevier BV, ISSN 0045-7930
  162. Wang, J; Layton, A, Numerical simulations of fiber sedimentation in Navier-stokes flows, Communications in Computational Physics, vol. 5 no. 1 (January, 2009), pp. 61-83, ISSN 1815-2406
  163. 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 (November, 2008), pp. F1271-F1285, ISSN 0363-6127
  164. Layton, AT, On the choice of correctors for semi-implicit Picard deferred correction methods, Applied Numerical Mathematics, vol. 58 no. 6 (June, 2008), pp. 845-858, Elsevier BV, ISSN 0168-9274
  165. 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 (April, 2008), pp. 2147-2155, Elsevier BV, ISSN 0045-7825
  166. Layton, HE; Moore, LC; Layton, AT, Tubuloglomerular feedback signal transduction in a model of a compliant thick ascending limb, Faseb Journal, vol. 22 (April, 2008), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  167. 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, Faseb Journal, vol. 22 (April, 2008), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  168. Layton, AT, Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney., Bulletin of Mathematical Biology, vol. 69 no. 3 (April, 2007), pp. 887-929, ISSN 0092-8240
  169. Marcano, M; Layton, AT; Layton, HE, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, Faseb Journal, vol. 21 no. 6 (April, 2007), pp. A905-A905, FEDERATION AMER SOC EXP BIOL
  170. Layton, HE; Layton, AT; Moore, LC, A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback, Faseb Journal, vol. 21 no. 6 (April, 2007), pp. A828-A828, FEDERATION AMER SOC EXP BIOL
  171. Layton, AT; Minion, ML, Implications of the choice of predictors for semi-implicit picard integral deferred correction methods, Communications in Applied Mathematics and Computational Science, vol. 2 no. 1 (January, 2007), pp. 1-34, Mathematical Sciences Publishers
  172. Layton, AT, Modeling water transport across elastic boundaries using an explicit jump method, Siam Journal on Scientific Computing, vol. 28 no. 6 (December, 2006), pp. 2189-2207, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275
  173. 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 (October, 2006), pp. 1625-1660, ISSN 0092-8240
  174. 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 (July, 2006), pp. F79-F97, ISSN 1931-857X
  175. 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 (May, 2006), pp. 175-186, Elsevier BV, ISSN 0378-4754
  176. 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 (May, 2006), pp. 187-205, Elsevier BV, ISSN 0378-4754
  177. 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, Faseb Journal, vol. 20 no. 5 (March, 2006), pp. A1224-A1224, FEDERATION AMER SOC EXP BIOL
  178. Moore, LC; Siu, KL; Layton, AT; Layton, HE; Chon, KH, Evidence for multi-stability of the tubuloglomerular feedback system in spontaneously-hypertensive rats (SHR), Faseb Journal, vol. 20 no. 4 (March, 2006), pp. A762-A762, FEDERATION AMER SOC EXP BIOL
  179. Layton, AT; Moore, LC; Layton, HE, Dynamics in coupled nephrons may contribute to irregular flow oscillations in spontaneously hypertensive rats, Faseb Journal, vol. 20 no. 4 (March, 2006), pp. A759-A759, FEDERATION AMER SOC EXP BIOL
  180. Thomas Beale, J; Layton, AT, On the accuracy of finite difference methods for elliptic problems with interfaces, Communications in Applied Mathematics and Computational Science, vol. 1 no. 1 (January, 2006), pp. 91-119, Mathematical Sciences Publishers
  181. Thomas, SR; Layton, AT; Layton, HE; Moore, LC, Kidney modeling: Status and perspectives, Proceedings of the Ieee, vol. 94 no. 4 (January, 2006), pp. 740-752, Institute of Electrical and Electronics Engineers (IEEE), ISSN 0018-9219
  182. 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
  183. 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
  184. 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 (December, 2005), pp. F1346-F1366, ISSN 1931-857X
  185. 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 (December, 2005), pp. F1367-F1381, ISSN 1931-857X
  186. Layton, AT, A methodology for tracking solute distribution in a mathematical model of the kidney, Journal of Biological Systems, vol. 13 no. 4 (December, 2005), pp. 399-419, World Scientific Pub Co Pte Lt, ISSN 0218-3390
  187. Layton, AT, Role of structural organization in the urine concentrating mechanism of an avian kidney., Mathematical Biosciences, vol. 197 no. 2 (October, 2005), pp. 211-230, ISSN 0025-5564
  188. Layton, AT; Minion, ML, Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations, Bit, vol. 45 no. 2 (June, 2005), pp. 341-373, Springer Nature
  189. Marcano, M; Layton, AT; Layton, HE, An optimization algorithm for a model of the urine concentrating mechanism in rat inner medulla, Faseb Journal, vol. 19 no. 4 (March, 2005), pp. A150-A150, FEDERATION AMER SOC EXP BIOL
  190. Layton, AT; Layton, HE, A mathematical model of the urine concentrating mechanism of the inner medulla of the chinchilla kidney, Faseb Journal, vol. 19 no. 4 (March, 2005), pp. A149-A149, FEDERATION AMER SOC EXP BIOL
  191. 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
  192. 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
  193. 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 (October, 2004), pp. F816-F839
  194. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Effects of structural organization on the urine concentrating mechanism of the rat kidney, Faseb Journal, vol. 18 no. 5 (March, 2004), pp. A1021-A1021, FEDERATION AMER SOC EXP BIOL
  195. Layton, AT; Minion, ML, Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics, Journal of Computational Physics, vol. 194 no. 2 (March, 2004), pp. 697-715, Elsevier BV
  196. 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)
  197. 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, vol. 14 (November, 2003), pp. 76A-76A, LIPPINCOTT WILLIAMS & WILKINS
  198. Layton, AT; Layton, HE, A region-based model framework for the rat urine concentrating mechanism., Bulletin of Mathematical Biology, vol. 65 no. 5 (September, 2003), pp. 859-901
  199. 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 (August, 2003), pp. 651-675, Elsevier BV
  200. 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 (July, 2003), pp. 180-196, Elsevier BV
  201. Layton, AT; Layton, HE, A method for tracking solute distribution in mathematical models of the urine concentrating mechanism (UCM), Faseb Journal, vol. 17 no. 4 (March, 2003), pp. A485-A485, FEDERATION AMER SOC EXP BIOL
  202. Layton, AT; Layton, HE, An efficient numerical method for distributed-loop models of the urine concentrating mechanism., Mathematical Biosciences, vol. 181 no. 2 (February, 2003), pp. 111-132
  203. Layton, AT, A semi-Lagrangian collocation method for the shallow water equations on the sphere, Siam Journal on Scientific Computing, vol. 24 no. 4 (January, 2003), pp. 1433-1449, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275
  204. 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)
  205. 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)
  206. 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
  207. 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 (December, 2002), pp. 1526-1548, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275
  208. 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 (December, 2002), pp. 549-567, ISSN 0303-6812
  209. 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, vol. 13 (September, 2002), pp. 333A-333A, LIPPINCOTT WILLIAMS & WILKINS
  210. Layton, AT, Cubic spline collocation method for the shallow water equations on the sphere, Journal of Computational Physics, vol. 179 no. 2 (July, 2002), pp. 578-592, Elsevier BV, ISSN 0021-9991
  211. Layton, AT; Layton, HE, A mathematical model of the urine concentrating mechanism in the outer medulla of the rat kidney, Faseb Journal, vol. 16 no. 4 (March, 2002), pp. A51-A51, FEDERATION AMER SOC EXP BIOL
  212. Layton, AT; Van de Panne, M, A numerically efficient and stable algorithm for animating water waves, The Visual Computer, vol. 18 no. 1 (February, 2002), pp. 41-53, Springer Nature, ISSN 0178-2789
  213. 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
  214. 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
  215. 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. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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. 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)
  2. 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)
  3. 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)