Publications of Anita T. Layton

Books

  1. Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)
  2. 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)
  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. 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
  5. 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

Papers Published

  1. 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
  2. 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
  3. 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
  4. 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
  5. Layton, HE; Chen, J; Moore, LC; Layton, AT, A mathematical model of the afferent arteriolar smooth muscle cell, Faseb Journal, vol. 24 (April, 2010)
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. Layton, AT, A new microscope for the kidney: mathematics., American Journal of Physiology. Renal Physiology, vol. 312 no. 4 (April, 2017), pp. F671-F672
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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)
  32. Anita W. Tam, A two-time-level semi-quadratic spline Galerkin method for the shallow water equations, Proceedings of the 8th Annual Conference of the CFD Society of Canada (2000)
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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
  45. 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
  46. 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
  47. 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
  48. 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
  49. 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
  50. 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
  51. 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
  52. 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
  53. 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)
  54. 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
  55. Sgouralis, I; Layton, AT, Control and modulation of fluid flow in the rat kidney., Bulletin of Mathematical Biology, vol. 75 no. 12 (2013), pp. 2551-2574
  56. 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
  57. 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
  58. 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
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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)
  64. 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
  65. 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)
  66. 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
  67. 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
  68. 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
  69. 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
  70. 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
  71. 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)
  72. 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)
  73. 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)
  74. 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
  75. 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
  76. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., vol. 2 no. 21 (2010), pp. 295-305
  77. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis., Journal of Theoretical Biology, vol. 262 no. 2 (January, 2010), pp. 295-305
  78. 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
  79. 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
  80. Ryu, H; Layton, AT, 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, ISBN 978-0-8218-9850-5
  81. 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
  82. 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)
  83. 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
  84. 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
  85. 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
  86. 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
  87. 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
  88. 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)
  89. 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
  90. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Faseb Journal, vol. 26 (April, 2012)
  91. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, Faseb Journal, vol. 24 (April, 2010)
  92. 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
  93. 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
  94. Edwards, A; Chen, J; Layton, AT, Impact of Rat Outer Medullary Architecture on Oxygen Distribution, Faseb Journal, vol. 23 (April, 2009)
  95. 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
  96. 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
  97. Layton, AT, 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, ISBN 978-0-8218-9850-5
  98. 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
  99. 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
  100. 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
  101. 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
  102. 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
  103. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, Faseb Journal, vol. 26 (April, 2012)
  104. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, Faseb Journal, vol. 24 (April, 2010)
  105. 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
  106. Burt, T; Wu, H; Layton, A; Rouse, D; Chin, B; Hawk, T; Weitzel, D; Cohen-Wolkowiez, M; Chow, S; Noveck, R, 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
  107. 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
  108. 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
  109. 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
  110. Pannabecker, TL; Layton, AT, Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing, Faseb Journal, vol. 25 (April, 2011)
  111. 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
  112. Thomas, SR; Layton, AT; Layton, HE; Moore, LC, Kidney modeling: Status and perspectives, Proceedings of the Ieee, vol. 94 no. 4 (2006), pp. 740-752, ISSN 0018-9219
  113. Layton, AT, Mathematical modeling of kidney transport., Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 5 no. 5 (September, 2013), pp. 557-573
  114. 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
  115. 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
  116. Anita T. Layton, Mathematical physiology, in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham (2015), ISBN 978-0691150390
  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. 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
  119. 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
  120. 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
  121. 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
  122. 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
  123. Chen, Y; Fry, BC; Layton, AT, Modeling glucose metabolism and lactate production in the kidney., Mathematical Biosciences, vol. 289 (July, 2017), pp. 116-129
  124. 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
  125. Leete, J; Gurley, S; Layton, AT, Modeling sex differences in the renin angiotensin system and the efficacy of antihypertensive therapies, Computers & Chemical Engineering, vol. 112 (April, 2018), pp. 253-264
  126. Layton, AT, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, vol. 2012 (2012), pp. ID: 170594, 18 pages
  127. 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
  128. 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 : Cb, vol. 21 no. 3 (February, 2011), pp. 184-194
  129. 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
  130. 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
  131. 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
  132. 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
  133. 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
  134. 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
  135. 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
  136. 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
  137. Hou, G; Wang, J; Layton, A, Numerical Methods for Fluid-Structure Interaction — A Review, Communications in Computational Physics, vol. 12 no. 02 (August, 2012), pp. 337-377, ISSN 1815-2406
  138. 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
  139. 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
  140. 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
  141. 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
  142. 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
  143. 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
  144. 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
  145. Fields, B; Page, K, Preface, vol. 2015-June (January, 2015), ISBN 9781450335638
  146. 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
  147. 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
  148. 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)
  149. 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
  150. 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
  151. 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
  152. 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
  153. 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
  154. 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)
  155. 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
  156. 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)
  157. 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)
  158. 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
  159. 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
  160. 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
  161. Layton, AT, Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney, Faseb Journal, vol. 25 (April, 2011)
  162. 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
  163. 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
  164. 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
  165. 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
  166. Olson, SD; Layton, AT, 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, ISBN 978-0-8218-9850-5
  167. 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)
  168. 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
  169. Layton, AT, Sweet success? SGLT2 inhibitors and diabetes., American Journal of Physiology. Renal Physiology, vol. 314 no. 6 (June, 2018), pp. F1034-F1035
  170. 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
  171. 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
  172. 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
  173. Wei, N; Layton, AT, Theoretical assessment of the Ca2+ oscillations in the afferent arteriole smooth muscle cell of the rat kidney, International Journal of Biomathematics, vol. 11 no. 03 (April, 2018), pp. 1850043-1850043
  174. 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)
  175. 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
  176. 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
  177. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, Faseb Journal, vol. 26 (April, 2012)
  178. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, Faseb Journal, vol. 24 (April, 2010)
  179. 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)
  180. 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
  181. 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
  182. 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
  183. 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)
  184. 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. 24 (April, 2010)
  185. 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
  186. 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 (2013), pp. 1781-1789
  187. 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
  188. Layton, AT; Moore, LC; Layton, HE, Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow, Faseb Journal, vol. 23 (April, 2009)

Papers Accepted

  1. 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)
  2. Ioannis Sgouralis and Anita T. Layton, Conduction of feedback-mediated signal in a computational model of coupled nephron, Med Math Biol, in press (2014)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. 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
  8. 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

Papers Submitted

  1. 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
  2. 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)
  3. 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
  4. 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)
  5. 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
  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. 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