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Publications of Anita T. Layton    :recent first  alphabetical  combined  bibtex listing:

Books

  1. 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 [doi]
  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. 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 and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemporary Mathematics (2014)

Papers Published

  1. 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)
  2. 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 [doi]  [abs]
  3. 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 [doi]  [abs]
  4. 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 [doi]  [abs]
  5. 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 [doi]  [abs]
  6. 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 [doi]  [abs]
  7. 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 [doi]  [abs]
  8. Layton, AT; Layton, HE, A mathematical model of the urine concentrating mechanism in the outer medulla of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 16 no. 4 (March, 2002), pp. A51-A51
  9. Layton, AT; Moore, LC; Layton, HE, Internephron coupling may contribute to emergence of irregular oscillations mediated by tubuloglomerular feedback., Journal of the American Society of Nephrology : JASN, vol. 13 (September, 2002), pp. 333A-333A
  10. 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 [doi]  [abs]
  11. 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 [doi]  [abs]
  12. 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 [doi]  [abs]
  13. 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 [doi]  [abs]
  14. 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 [doi]  [abs]
  15. 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 [doi]  [abs]
  16. 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)
  17. 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)
  18. Layton, AT; Layton, HE, A method for tracking solute distribution in mathematical models of the urine concentrating mechanism (UCM), The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 17 no. 4 (March, 2003), pp. A485-A485
  19. Layton, HE; Layton, AT, Impaired countercurrent exchange in a mathematical model of a urine concentrating mechanism lacking UT-B urea transporter., Journal of the American Society of Nephrology : JASN, vol. 14 (November, 2003), pp. 76A-76A
  20. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Two modes for concentrating urine in rat inner medulla, American Journal of Physiology - Renal Physiology, vol. 287 no. 4 56-4 (2004), pp. F816-F839 [doi]  [abs]
  21. 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 [doi]  [abs]
  22. 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)
  23. Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Effects of structural organization on the urine concentrating mechanism of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 18 no. 5 (March, 2004), pp. A1021-A1021
  24. 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 [doi]  [abs]
  25. 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 [doi]  [abs]
  26. 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 [doi]  [abs]
  27. 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 [doi]  [abs]
  28. Marcano, M; Layton, AT; Layton, HE, An optimization algorithm for a model of the urine concentrating mechanism in rat inner medulla, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 19 no. 4 (March, 2005), pp. A150-A150
  29. Layton, AT; Layton, HE, A mathematical model of the urine concentrating mechanism of the inner medulla of the chinchilla kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 19 no. 4 (March, 2005), pp. A149-A149
  30. 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 [16135372], [doi]  [abs]
  31. 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 [15914776], [doi]  [abs]
  32. 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 [15914775], [doi]  [abs]
  33. 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 [doi]  [abs]
  34. 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 [doi]  [abs]
  35. 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 [doi]  [abs]
  36. 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 [pdf]
  37. 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 [doi]  [abs]
  38. 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
  39. 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
  40. Thomas, SR; Layton, AT; Layton, HE; Moore, LC, Kidney modeling: Status and perspectives, Proceedings of the Institute of Electrical and Electronics Engineers (IEEE), vol. 94 no. 4 (2006), pp. 740-752, ISSN 0018-9219 [doi]  [abs]
  41. Moore, LC; Siu, KL; Layton, AT; Layton, HE; Chon, KH, Evidence for multi-stability of the tubuloglomerular feedback system in spontaneously-hypertensive rats (SHR), The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 20 no. 4 (March, 2006), pp. A762-A762
  42. Layton, AT; Moore, LC; Layton, HE, Dynamics in coupled nephrons may contribute to irregular flow oscillations in spontaneously hypertensive rats, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 20 no. 4 (March, 2006), pp. A759-A759
  43. Marcano, M; Layton, AT; Layton, HE, Estimation of collecting duct parameters for maximum urine concentrating capability in a mathematical model of the rat inner medulla, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 20 no. 5 (March, 2006), pp. A1224-A1224
  44. 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 [16204416], [doi]  [abs]
  45. 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
  46. 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 [17265123], [doi]  [abs]
  47. Marcano, M; Layton, AT; Layton, HE, Maximum urine concentrating capability for transport parameters and urine flow within prescribed ranges, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 21 no. 6 (April, 2007), pp. A905-A905
  48. Layton, HE; Layton, AT; Moore, LC, A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 21 no. 6 (April, 2007), pp. A828-A828
  49. 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 [doi]  [abs]
  50. 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 [doi]  [abs]
  51. 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 [doi]  [abs]
  52. Layton, HE; Moore, LC; Layton, AT, Tubuloglomerular feedback signal transduction in a model of a compliant thick ascending limb, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 22 (April, 2008)
  53. Pannabecker, TL; Dantzler, WH; Layton, AT; Layton, HE, Three-dimensional reconstructions of rat renal inner medulla suggest two anatomically separated countercurrent mechanisms for urine concentration, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 22 (April, 2008)
  54. 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 [doi]  [abs]
  55. 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 [doi]  [abs]
  56. 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 [doi]  [abs]
  57. 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 [doi]  [abs]
  58. 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 [doi]  [abs]
  59. 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  [abs]
  60. 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 [19205808], [doi]  [abs]
  61. Edwards, A; Chen, J; Layton, AT, Impact of Rat Outer Medullary Architecture on Oxygen Distribution, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 23 (April, 2009)
  62. Layton, AT; Moore, LC; Layton, HE, Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 23 (April, 2009)
  63. 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 [19675356], [doi]  [abs]
  64. 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 [20514134], [doi]  [abs]
  65. 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 [doi]  [abs]
  66. 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 [20934438], [doi]  [abs]
  67. 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 [doi]  [abs]
  68. 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 [doi]  [abs]
  69. 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 [doi]  [abs]
  70. 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 [20335320], [doi]  [abs]
  71. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis, J. Theor. Biol., vol. 2 no. 21 (2010), pp. 295-305 [19836405], [doi]  [abs]
  72. 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
  73. 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 [19657700], [doi]  [abs]
  74. 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 [19891979], [doi]  [abs]
  75. Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis., Journal of Theoretical Biology, vol. 262 no. 2 (January, 2010), pp. 295-305 [19836405], [doi]  [abs]
  76. 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 [20042460], [doi]  [abs]
  77. 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 [20053796], [doi]  [abs]
  78. Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  79. Gilbert, RL; Pannabecker, TL; Layton, AT, Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  80. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  81. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  82. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  83. Layton, HE; Chen, J; Moore, LC; Layton, AT, A mathematical model of the afferent arteriolar smooth muscle cell, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  84. Nieves-Gonzalez, A; Moore, LC; Clausen, C; Marcano, M; Layton, HE; Layton, AT, Efficiency of sodium transport in the thick ascending limb, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  85. 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 [20335320], [doi]  [abs]
  86. 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 [20934438], [doi]  [abs]
  87. Bouzarth, EL; Layton, AT; Young, Y-N, Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets, International Journal for Numerical Methods in Biomedical Engineering, vol. 27 no. 12 (2011), pp. 2021-2034, ISSN 2040-7939 [doi]  [abs]
  88. Edwards, A; Layton, AT, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide, Am J Physiol Renal Physiol, vol. 301 no. F979-F996 (2011), pp. F979-F996, ISSN 0363-6127 [doi]  [abs]
  89. Lei, T; Zhou, L; Layton, AT; Zhou, H; Zhao, X; Bankir, L; Yang, B, Role of thin descending limb urea transport in renal urea handling and the urine concentrating mechanism, American journal of physiology. Renal physiology, vol. 301 no. 6 (2011), pp. F1251-F1259, ISSN 0363-6127 [doi]  [abs]
  90. Layton, AT; Layton, HE, Countercurrent multiplication may not explain the axial osmolality gradient, Am J Physiol Renal Physiol, vol. 301 no. 5 (2011), pp. F1047-F1056 [21753076], [doi]  [abs]
  91. Dantzler, WH; Pannabecker, TL; Layton, AT; Layton, HE, Urine concentrating mechanism in the inner medulla of the mammalian kidney: role of three-dimensional architecture., Acta Physiologica, vol. 202 no. 3 (2011), pp. 361-378, ISSN 1748-1716 [doi]  [abs]
  92. Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla: II. Functional implications of three-dimensional architecture, Am J Physiol Renal Physiol, vol. 300 no. F372-F384 (2011), pp. F372-F384 [21068088], [doi]  [abs]
  93. Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla: I. Formulation and base-case results, Am J Physiol Renal Physiol, vol. 300 no. F356-F371 (2011), pp. F356-F371 [21068086], [doi]  [abs]
  94. Layton, AT; Savage, NS; Howell, AS; Carroll, SY; Drubin, DG; Lew, DJ, Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment, Curr Biol, vol. 21 no. 3 (2011), pp. 1-11 [21277209], [doi]  [abs]
  95. Edwards, A; Layton, AT, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide, American journal of physiology. Renal physiology, vol. 301 no. 5 (2011), pp. F979-F996, ISSN 0363-6127 [doi]  [abs]
  96. 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 [21068088], [doi]  [abs]
  97. 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 [21068086], [doi]  [abs]
  98. Layton, AT; Savage, NS; Howell, AS; Carroll, SY; Drubin, DG; Lew, DJ, Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment., Current Biology, vol. 21 no. 3 (February, 2011), pp. 184-194 [21277209], [doi]  [abs]
  99. 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 [21190949], [doi]  [abs]
  100. 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 [21329704], [doi]  [abs]
  101. Layton, AT, Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  102. Nieves-Gonzalez, A; Clausen, C; Marcano, M; Layton, HE; Layton, AT; Moore, LC, Efficiency of sodium transport in a model of the Thick Ascending Limb (TAL), The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  103. Pannabecker, TL; Layton, AT, Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  104. Layton, AT; Sgouralis, I; Layton, H; Moore, L, Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  105. Nieves-Gonzalez, A; Clausen, C; Layton, HE; Layton, AT; Moore, LC, Dynamical Properties of the Thick Ascending Limb (TAL): A Modeling Study, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 25 (April, 2011)
  106. 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 [21753076], [doi]  [abs]
  107. 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 [doi]
  108. 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
  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; 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)
  111. 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)
  112. Edwards, A; Layton, AT, Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation, American journal of physiology. Renal physiology, vol. 303 no. 7 (2012), pp. F907-F917, ISSN 0363-6127 [doi]  [abs]
  113. 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 [22496414], [doi]  [abs]
  114. Layton, AT, Modeling transport and flow regulatory mechanisms of the kidney, ISRN Biomath, vol. 2012 (2012), pp. ID: 170594, 18 pages
  115. 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 [doi]  [abs]
  116. 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 [doi]  [abs]
  117. Hou, G; Wang, J; Layton, A, Numerical methods for fluid-structure interaction - A review, Communications in computational physics, vol. 12 no. 2 (2012), pp. 337-377, ISSN 1815-2406 [doi]  [abs]
  118. 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)
  119. 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 [22088433], [doi]  [abs]
  120. 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 [22577511], [doi]  [abs]
  121. 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 [22160770], [doi]  [abs]
  122. Gilbert, RL; Pannabecker, TL; Layton, AT, Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  123. Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  124. Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  125. Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  126. 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 [22438587], [doi]  [abs]
  127. 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 [22262482], [doi]  [abs]
  128. 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 [22496414], [doi]  [abs]
  129. Dantzler, WH; Layton, AT; Layton, HE; Pannabecker, TL, Urine concentrating mechanism in the inner medulla: function of the thin limbs of Henle’s loops, Clinical Journal of the American Society of Nephrology. (2013), pp. doi:10.2215/CJN.08750812
  130. Sgouralis, I; Layton, AT, Control and modulation of fluid flow in the rat kidney, BULLETIN OF MATHEMATICAL BIOLOGY, vol. 75 (2013), pp. 2551-2574
  131. 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 [doi]  [abs]
  132. 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)
  133. 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 [23097466], [doi]  [abs]
  134. 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
  135. Layton, AT, Mathematical modeling of kidney transport., Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 5 no. 5 (September, 2013), pp. 557-573 [23852667], [doi]  [abs]
  136. 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 [22511507], [doi]  [abs]
  137. 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 [doi]  [abs]
  138. 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 [doi]  [abs]
  139. Layton, AT, Impacts of Facilitated Urea Transporters on the Urine-Concentrating Mechanism in the Rat Kidney, Contemporary Mathematics, vol. 628 (2014), pp. 191-208, ISBN 978-0-8218-9850-5 [doi]
  140. Ryu, H; Layton, AT, Feedback-Mediated Dynamics in a Model of Coupled Nephrons with Compliant Short Loop of Henle, Contemporary Mathematics, vol. 628 (2014), pp. 209-238, ISBN 978-0-8218-9850-5 [doi]
  141. Olson, SD; Layton, AT, Simulating Biofluid-Structure Interactions with an Immersed Boundary Framework - A Review, Contemporary Mathematics, vol. 628 (2014), pp. 1-36, ISBN 978-0-8218-9850-5 [doi]
  142. 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 [doi]  [abs]
  143. 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 [doi]  [abs]
  144. 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 [24173354], [doi]  [abs]
  145. 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 [23529284], [doi]  [abs]
  146. 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 [doi]  [abs]
  147. 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 [doi]  [abs]
  148. 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 [doi]  [abs]
  149. 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 [doi]  [abs]
  150. 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 [doi]  [abs]
  151. 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 [doi]  [abs]
  152. Anita T. Layton, Mathematical physiology, in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham (2015), ISBN 978-0691150390
  153. 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
  154. Fields, B; Page, K, Preface, vol. 2015-June (January, 2015), ISBN 9781450335638
  155. 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 [doi]
  156. 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) [doi]  [abs]
  157. 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 [doi]  [abs]
  158. 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 [doi]  [abs]
  159. 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 [doi]  [abs]
  160. 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 [doi]  [abs]
  161. 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 [doi]  [abs]
  162. 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 [doi]
  163. 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
  164. 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 [doi]  [abs]
  165. 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 [doi]  [abs]
  166. 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 [doi]
  167. 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 [doi]  [abs]
  168. 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 [doi]  [abs]
  169. 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 [doi]  [abs]
  170. 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 [doi]
  171. 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 [doi]  [abs]
  172. 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 [doi]  [abs]
  173. 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 [doi]  [abs]
  174. 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 [doi]  [abs]
  175. 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 [doi]  [abs]
  176. Layton, AT, A new microscope for the kidney: mathematics., American Journal of Physiology: Renal Physiology, vol. 312 no. 4 (April, 2017), pp. F671-F672 [doi]
  177. Chen, Y; Fry, BC; Layton, AT, Modeling glucose metabolism and lactate production in the kidney., Mathematical Biosciences, vol. 289 (July, 2017), pp. 116-129 [doi]  [abs]
  178. 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 [doi]  [abs]
  179. 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 [doi]  [abs]
  180. 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 [doi]
  181. Edwards, A; Layton, AT, Cell Volume Regulation in the Proximal Tubule of Rat Kidney : Proximal Tubule Cell Volume Regulation., Bulletin of Mathematical Biology (September, 2017) [doi]  [abs]

Papers Accepted

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

Papers Submitted

  1. 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)
  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. 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)
  4. Sgouralis, I; Maroulas, V; Layton, AT, Transfer Function Analysis of Dynamic Blood Flow Control in the Rat Kidney., Bulletin of Mathematical Biology, vol. 78 no. 5 (May, 2016), pp. 923-960 [doi]  [abs]
  5. 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 [doi]  [abs]
  6. 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 [doi]  [abs]
  7. 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 [doi]  [abs]

 

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Mathematics Department
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