Math @ Duke

 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. F1378F1390 [doi] [abs]
 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 (NMTMA), vol. 6 no. 4
(2013),
pp. 600616, ISSN 10048979 [doi] [abs]
 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. F517F536, ISSN 03636127 [doi] [abs]
 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. F537F548, ISSN 03636127 [doi] [abs]
 Layton, HE; Chen, J; Moore, LC; Layton, AT, A mathematical model of the afferent arteriolar smooth muscle cell,
Faseb Journal, vol. 24
(April, 2010)
 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. F669F681 [21190949], [doi] [abs]
 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. A51A51
 Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla. I. Formulation and basecase results.,
American Journal of Physiology. Renal Physiology, vol. 300 no. 2
(February, 2011),
pp. F356F371 [21068086], [doi] [abs]
 Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla. II. Functional implications of threedimensional architecture.,
American Journal of Physiology. Renal Physiology, vol. 300 no. 2
(February, 2011),
pp. F372F384 [21068088], [doi] [abs]
 Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla: I. Formulation and basecase results,
Am J Physiol Renal Physiol, vol. 300 no. F356F371
(2011),
pp. F356F371 [21068086], [doi] [abs]
 Layton, AT, A mathematical model of the urine concentrating mechanism in the rat renal medulla: II. Functional implications of threedimensional architecture,
Am J Physiol Renal Physiol, vol. 300 no. F372F384
(2011),
pp. F372F384 [21068088], [doi] [abs]
 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. A149A149
 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. A828A828
 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. A485A485
 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. 399419, ISSN 02183390 [doi] [abs]
 Layton, AT, A methodology for tracking solute distribution in mathematical models of the kidney,
J. Biol. Sys., vol. 13 no. 4
(2005),
pp. 121, ISSN 02183390 [doi] [abs]
 Layton, AT, A new microscope for the kidney: mathematics.,
American Journal of Physiology. Renal Physiology, vol. 312 no. 4
(April, 2017),
pp. F671F672 [doi]
 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. 549567, ISSN 03036812 [doi] [abs]
 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. 549567, ISSN 03036812 [doi] [abs]
 Layton, AT; Panne, MVD, A numerically efficient and stable algorithm for animating water waves,
The Visual Computer, vol. 18 no. 1
(2002),
pp. 4153, ISSN 01782789 [doi] [abs]
 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. 11391153, ISSN 15313492 [doi] [abs]
 Layton, AT; Layton, HE, A regionbased mathematical model of the urine concentrating mechanism in the rat outer medulla. I. Formulation and basecase results.,
American Journal of Physiology. Renal Physiology, vol. 289 no. 6
(2005),
pp. F1346F1366, ISSN 1931857X [15914776], [doi] [abs]
 Layton, AT; Layton, HE, A regionbased 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. F1367F1381, ISSN 1931857X [15914775], [doi] [abs]
 Layton, AT; Layton, HE, A regionbased model framework for the rat urine concentrating mechanism,
Bull. Math. Biol., vol. 65 no. 6
(2003),
pp. 859901 [doi] [abs]
 Layton, AT; Layton, HE, A regionbased model framework for the rat urine concentrating mechanism,
Bulletin of Mathematical Biology, vol. 65 no. 5
(2003),
pp. 859901 [doi] [abs]
 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. 187202, ISSN 00219991 [doi] [abs]
 Layton, AT, A semiLagrangian collocation method for the shallow water equations on the sphere,
Siam Journal on Scientific Computing, vol. 24 no. 4
(2003),
pp. 14331449, ISSN 10648275 [doi] [abs]
 Layton, AT; Spotz, WF, A semiLagrangian double Fourier method for the shallow water equations on the sphere,
Journal of Computational Physics, vol. 189 no. 1
(2003),
pp. 180196 [doi] [abs]
 Layton, AT; Layton, HE, A semiLagrangian semiimplicit numerical method for models of the urine concentrating mechanism,
SIAM J. Sci. Comput., vol. 23 no. 5
(2002),
pp. 15281548, ISSN 10648275 [doi] [abs]
 Layton, AT; Layton, HE, A semilagrangian semiimplicit numerical method for models of the urine concentrating mechanism,
Siam Journal on Scientific Computing, vol. 23 no. 5
(2002),
pp. 15261548, ISSN 10648275 [doi] [abs]
 Anita T. Layton, A twotimelevel semiLagrangian semiimplicit double Fourier method,
Proceedings of the Workshop on Current Development in Shallow Water Models on the Sphere
(2003)
 Anita W. Tam, A twotimelevel semiquadratic spline Galerkin method for the shallow water equations,
Proceedings of the 8th Annual Conference of the CFD Society of Canada
(2000)
 Beale, JT; Layton, AT, A velocity decomposition approach for moving interfaces in viscous fluids,
Journal of Computational Physics, vol. 228 no. 9
(2009),
pp. 33583367, ISSN 00219991 [doi] [abs]
 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. 263270
 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. 51955215, ISSN 00219991 [doi] [abs]
 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. F199F209 [doi] [abs]
 Layton, AT; Layton, HE, An efficient numerical method for distributedloop models of the urine concentrating mechanism,
Mathematical Biosciences, vol. 181 no. 2
(2003),
pp. 111132 [doi] [abs]
 Layton, AT, An efficient numerical method for the twofluid Stokes equations with a moving immersed boundary,
Computer Methods in Applied Mechanics and Engineering, vol. 197 no. 2528
(2007),
pp. 21472155, ISSN 00457825 [doi] [abs]
 Herschlag, G; Liu, JG; Layton, AT, An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability,
Siam Journal on Applied Mathematics, vol. 75 no. 5
(January, 2015),
pp. 22462267 [doi]
 Gregory J. Herschlag, JianGuo Liu, and Anita T. Layton, An exact solution for Stokes flow in an infinite channel with permeable walls,
SIAM Appl Math, in press
(2015)
 Nganguia, H; Young, YN; Layton, AT; Hu, WF; Lai, MC, An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow,
Communications in Computational Physics, vol. 18 no. 02
(2015),
pp. 429449, ISSN 18152406 [doi]
 Marcano, M; Layton, AT; Layton, HE, An optimization algorithm for a distributedloop model of an avian urine concentrating mechanism.,
Bulletin of Mathematical Biology, vol. 68 no. 7
(2006),
pp. 16251660, ISSN 00928240 [doi] [abs]
 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. A150A150
 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. 6678 [19891979], [doi] [abs]
 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. F229F239
(2012),
pp. F229F239 [22496414], [doi] [abs]
 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. F229F239 [22496414], [doi] [abs]
 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. 169179 [doi] [abs]
 Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications,
AMS Contemporary Mathematics
(2014)
 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. R532R544 [doi] [abs]
 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. F34F48 [24173354], [doi] [abs]
 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 [doi]
 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. 25122533 [doi] [abs]
 Li, Y; Sgouralis, I; Layton, AT, Computing viscous flow in an elastic tube,
Numerical Mathematics: Theory, Methods and Applications (NMTMA), vol. 7 no. 4
(2014),
pp. 555574, ISSN 10048979 [doi] [abs]
 Ioannis Sgouralis and Anita T. Layton, Conduction of feedbackmediated signal in a computational model of coupled nephron,
Med Math Biol, in press
(2014)
 Sgouralis, I; Layton, AT, Conduction of feedbackmediated signal in a computational model of coupled nephrons.,
Mathematical Medicine and Biology : a Journal of the Ima, vol. 33 no. 1
(March, 2016),
pp. 87106 [doi] [abs]
 Anita T. Layton, Conservative multiimplicit integral deferred correction methods with adaptive mesh refinement,
Proceedings of the 12th Annual Conference of the CFD Society of Canada
(2004)
 Layton, AT; Minion, ML, Conservative multiimplicit spectral deferred correction methods for reacting gas dynamics,
Journal of Computational Physics, vol. 194 no. 2
(2004),
pp. 697715 [doi] [abs]
 Sgouralis, I; Layton, AT, Control and modulation of fluid flow in the rat kidney.,
Bulletin of Mathematical Biology, vol. 75 no. 12
(2013),
pp. 25512574 [doi] [abs]
 Layton, AT; Layton, HE, Countercurrent multiplication may not explain the axial osmolality gradient,
Am J Physiol Renal Physiol, vol. 301 no. 5
(2011),
pp. F1047F1056 [21753076], [doi] [abs]
 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. F1047F1056 [21753076], [doi] [abs]
 Layton, AT, Cubic spline collocation method for the shallow water equations on the sphere,
Journal of Computational Physics, vol. 179 no. 2
(2002),
pp. 578592, ISSN 00219991 [doi] [abs]
 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. F952F969, ISSN 1931857X [doi] [abs]
 Layton, AT; Toyama, Y; Yang, GQ; 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. 441460 [20514134], [doi] [abs]
 HaerWigman, 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. 3031
 Xie, L; Layton, AT; Wang, N; Larson, PEZ; Zhang, JL; Lee, VS; Liu, C; Johnson, GA, Dynamic contrastenhanced quantitative susceptibility mapping with ultrashort echo time MRI for evaluating renal function.,
American Journal of Physiology. Renal Physiology, vol. 310 no. 2
(2016),
pp. F174F182 [doi] [abs]
 NievesGonzalez, 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)
 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. A759A759
 Anita T. Layton and Guowei Wei, Editorial: Interface methods for biological and biomedical problems, edited by 289290,
Int J Numer Methods Biomed Eng, vol. 28 no. 3
(2012)
 Ryu, H; Layton, AT, Effect of tubular inhomogeneities on feedbackmediated dynamics of a model of a thick ascending limb.,
Mathematical Medicine and Biology : a Journal of the Ima, vol. 30 no. 3
(2013),
pp. 191212 [22511507], [doi] [abs]
 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. F137F146, ISSN 1931857X [doi] [abs]
 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. F1369F1383 [20335320], [doi] [abs]
 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. F1369F1383 [20335320], [doi] [abs]
 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. A1021A1021
 NievesGonzalez, 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 PhysiologyRenal Physiology
(2012)
 NievesGonzalez, 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)
 NievesGonzalez, 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)
 Nganguia, H; Young, YN; Layton, AT; Lai, MC; Hu, WF, Electrohydrodynamics of a viscous drop with inertia.,
Physical Review. E, vol. 93 no. 5
(May, 2016),
pp. 053114 [doi] [abs]
 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. A1224A1224
 Moore, LC; Siu, KL; Layton, AT; Layton, HE; Chon, KH, Evidence for multistability of the tubuloglomerular feedback system in spontaneouslyhypertensive rats (SHR),
Faseb Journal, vol. 20 no. 4
(March, 2006),
pp. A762A762
 Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis,
J. Theor. Biol., vol. 2 no. 21
(2010),
pp. 295305 [19836405], [doi] [abs]
 Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis.,
Journal of Theoretical Biology, vol. 262 no. 2
(January, 2010),
pp. 295305 [19836405], [doi] [abs]
 Gabor E. Linthorst, Lonneke HaerWigman, 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 UTB transporter,
J Am Soc Nephrol, submitted
(2012)
 Layton, AT, Feedbackmediated dynamics in a model of a compliant thick ascending limb,
Math Biosci, vol. 228 no. 185194
(2010),
pp. 185194 [20934438], [doi] [abs]
 Layton, AT, Feedbackmediated dynamics in a model of a compliant thick ascending limb.,
Mathematical Biosciences, vol. 228 no. 2
(December, 2010),
pp. 185194 [20934438], [doi] [abs]
 Ryu, H; Layton, AT, FeedbackMediated 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. 209238, ISBN 9780821898505 [doi]
 Layton, AT; Bowen, M; Wen, A; Layton, HE, Feedbackmediated dynamics in a model of coupled nephrons with compliant thick ascending limbs.,
Mathematical Biosciences, vol. 230 no. 2
(2011),
pp. 115127 [21329704], [doi] [abs]
 NievesGonzález, A; Clausen, C; Marcano, M; Layton, AT; Layton, HE; Moore, LC, Fluid dilution and efficiency of Na(+) transport in a mathematical model of a thick ascending limb cell.,
American Journal of Physiology. Renal Physiology, vol. 304 no. 6
(2013),
pp. F634F652 [doi] [abs]
 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)
 Herschlag, G; Liu, JG; Layton, AT, Fluid extraction across pumping and permeable walls in the viscous limit,
Physics of Fluids, vol. 28 no. 4
(April, 2016),
pp. 041902041902 [doi]
 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)
 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. F692F700 [doi] [abs]
 Layton, AT; Pannabecker, TL; Dantzler, WH; Layton, HE, Functional implications of the threedimensional architecture of the rat renal inner medulla.,
American Journal of Physiology. Renal Physiology, vol. 298 no. 4
(2010),
pp. F973F987 [20053796], [doi] [abs]
 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. 338351 [doi] [abs]
 Bourlioux, A; Layton, AT; Minion, ML, Highorder multiimplicit spectral deferred correction methods for problems of reactive flow,
Journal of Computational Physics, vol. 189 no. 2
(2003),
pp. 651675 [doi] [abs]
 Anita T. Layton, Highorder operatorsplitting methods for reacting gas dynamics,
Proceedings of the 11th Annual Conference of the CFD Society of Canada
(2003)
 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. F962F972 [20042460], [doi] [abs]
 Edwards, A; Layton, AT, Impact of nitric oxidemediated vasodilation on outer medullary NaCl transport and oxygenation,
Faseb Journal, vol. 26
(April, 2012)
 Edwards, A; Layton, AT, Impact of nitric oxidemediated vasodilation on outer medullary NaCl transport and oxygenation,
Faseb Journal, vol. 24
(April, 2010)
 Edwards, A; Layton, AT, Impact of nitric oxidemediated vasodilation on outer medullary NaCl transport and oxygenation.,
American Journal of Physiology. Renal Physiology, vol. 303 no. 7
(October, 2012),
pp. F907F917, ISSN 03636127 [doi] [abs]
 Fry, BC; Edwards, A; Layton, AT, Impact of nitricoxidemediated vasodilation and oxidative stress on renal medullary oxygenation: a modeling study.,
American Journal of Physiology. Renal Physiology, vol. 310 no. 3
(2016),
pp. F237F247 [doi] [abs]
 Edwards, A; Chen, J; Layton, AT, Impact of Rat Outer Medullary Architecture on Oxygen Distribution,
Faseb Journal, vol. 23
(April, 2009)
 Fry, BC; Edwards, A; Sgouralis, I; Layton, AT, Impact of renal medullary threedimensional architecture on oxygen transport.,
American Journal of Physiology. Renal Physiology, vol. 307 no. 3
(August, 2014),
pp. F263F272, ISSN 1931857X [doi] [abs]
 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]
 Layton, AT, Impacts of Facilitated Urea Transporters on the UrineConcentrating Mechanism in the Rat Kidney,
Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 628
(2014),
pp. 191208, ISBN 9780821898505 [doi]
 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. F967F980, ISSN 1931857X [doi] [abs]
 Layton, HE; Layton, AT, Impaired countercurrent exchange in a mathematical model of a urine concentrating mechanism lacking UTB urea transporter.,
Journal of the American Society of Nephrology, vol. 14
(November, 2003),
pp. 76A76A
 Layton, AT; Minion, ML, Implications of the choice of predictors for semiimplicit Picard Integral deferred correction methods,
Comm. Appl. Math. Comp. Sci., vol. 2 no. 1
(2007),
pp. 134
 Layton, AT; Minion, ML, Implications of the choice of quadrature nodes for Picard Integral deferred correction methods,
BIT, vol. 45 no. 2
(2005),
pp. 341373 [doi] [abs]
 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. 341373 [doi] [abs]
 Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole,
Faseb Journal, vol. 26
(April, 2012)
 Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole,
Faseb Journal, vol. 24
(April, 2010)
 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. 289290, ISSN 20407939 [doi]
 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. 333A333A
 Burt, T; Wu, H; Layton, A; Rouse, D; Chin, B; Hawk, T; Weitzel, D; CohenWolkowiez, M; Chow, S; Noveck, R, IntraArterial Microdosing (IAM), a novel Drug development approach, proof of concept in Rats,
Clinical Therapeutics, vol. 37 no. 8
(August, 2015),
pp. e40e41 [doi]
 Tal Burt, Douglas C. Rouse, Kihak Lee, Huali Wu, Anita T. Layton, Thomas C. Hawk, Douglas H. Weitzel, Bennett B. Chin, Michael CohenWolkowiez, SheinChung Chow, and Robert J. Noveck, Intraarterial microdosing (IAM), a novel drug development approach,proof of concept in rodents,
CPT: Pharmacometrics and Systems Pharmacology, in press
(2015)
 Burt, T; Noveck, RJ; MacLeod, DB; Layton, AT; Rowland, M; Lappin, G, IntraTarget 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. 337350 [doi]
 Burt, T; Rouse, DC; Lee, K; Wu, H; Layton, AT; Hawk, TC; Weitzel, DH; Chin, BB; CohenWolkowiez, M; Chow, SC; Noveck, RJ, Intraarterial Microdosing: A Novel Drug Development Approach, ProofofConcept PET Study in Rats,
Journal of Nuclear Medicine : Official Publication, Society of Nuclear Medicine, vol. 56 no. 11
(November, 2015),
pp. 17931799 [doi]
 Burt, T; Rouse, DC; Lee, K; Wu, H; Layton, AT; Hawk, TC; Weitzel, DH; Chin, BB; CohenWolkowiez, M; Chow, SC; Noveck, RJ, Intraarterial Microdosing: A Novel Drug Development Approach, ProofofConcept PET Study in Rats.,
Journal of Nuclear Medicine : Official Publication, Society of Nuclear Medicine, vol. 56 no. 11
(November, 2015),
pp. 17931799 [doi] [abs]
 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)
 Pannabecker, TL; Layton, AT, Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing,
Faseb Journal, vol. 25
(April, 2011)
 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. F830F839 [22160770], [doi] [abs]
 Thomas, SR; Layton, AT; Layton, HE; Moore, LC, Kidney modeling: Status and perspectives,
Proceedings of the Ieee, vol. 94 no. 4
(2006),
pp. 740752, ISSN 00189219 [doi] [abs]
 Layton, AT, Mathematical modeling of kidney transport.,
Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 5 no. 5
(September, 2013),
pp. 557573 [23852667], [doi] [abs]
 Sgouralis, I; Layton, AT, Mathematical modeling of renal hemodynamics in physiology and pathophysiology.,
Mathematical Biosciences, vol. 264
(June, 2015),
pp. 820, ISSN 00255564 [doi] [abs]
 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
 Layton, AT, Mathematical modeling of urea transport in the kidney.,
in Urea Transporters, edited by Baoxue Yang,
Sub Cellular Biochemistry, vol. 73
(2014),
pp. 3143, Springer, ISSN 03060225 [doi] [abs]
 Anita T. Layton, Mathematical physiology,
in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham
(2015), ISBN 9780691150390
 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. 314339
 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. A905A905
 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. 314339, ISSN 00928240 [doi] [abs]
 Savage, NS; Layton, AT; Lew, DJ, Mechanistic mathematical model of polarity in yeast.,
Molecular Biology of the Cell, vol. 23 no. 10
(2012),
pp. 19982013 [22438587], [doi] [abs]
 Bouzarth, EL; Layton, AT; Young, YN, Modeling a semiflexible filament in cellular Stokes flow using regularized Stokeslets,
International Journal for Numerical Methods in Biomedical Engineering, vol. 27 no. 12
(2011),
pp. 20212034, ISSN 20407939 [doi] [abs]
 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)
 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)
 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. 5573
 Chen, Y; Fry, BC; Layton, AT, Modeling glucose metabolism and lactate production in the kidney.,
Mathematical Biosciences, vol. 289
(July, 2017),
pp. 116129 [doi] [abs]
 Chen, Y; Fry, BC; Layton, AT, Modeling Glucose Metabolism in the Kidney.,
Bulletin of Mathematical Biology, vol. 78 no. 6
(June, 2016),
pp. 13181336 [doi] [abs]
 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. F1343F1357, ISSN 1931857X [doi] [abs]
 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. 253264 [doi] [abs]
 Liu, R; Layton, AT, Modeling the effects of positive and negative feedback in kidney blood flow control.,
Mathematical Biosciences, vol. 276
(2016),
pp. 818 [doi] [abs]
 Layton, AT, Modeling transport and flow regulatory mechanisms of the kidney,
ISRN Biomath, vol. 2012
(2012),
pp. ID: 170594, 18 pages
 Layton, AT; Savage, NS; Howell, AS; Carroll, SY; Drubin, DG; Lew, DJ, Modeling vesicle traffic reveals unexpected consequences for Cdc42pmediated polarity establishment,
Curr Biol, vol. 21 no. 3
(2011),
pp. 111 [21277209], [doi] [abs]
 Layton, AT; Savage, NS; Howell, AS; Carroll, SY; Drubin, DG; Lew, DJ, Modeling vesicle traffic reveals unexpected consequences for Cdc42pmediated polarity establishment.,
Current Biology : Cb, vol. 21 no. 3
(February, 2011),
pp. 184194 [21277209], [doi] [abs]
 Layton, AT, Modeling water transport across elastic boundaries using an explicit jump method,
Siam Journal on Scientific Computing, vol. 28 no. 6
(2006),
pp. 21892207, ISSN 10648275 [doi] [abs]
 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. F979F996
(2011),
pp. F979F996, ISSN 03636127 [doi] [abs]
 Edwards, A; Layton, AT, Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide.,
American Journal of Physiology. Renal Physiology, vol. 301 no. 5
(November, 2011),
pp. F979F996, ISSN 03636127 [doi] [abs]
 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. F79F97, ISSN 1931857X [16204416], [doi] [abs]
 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. 515555 [19205808], [doi] [abs]
 Wang, J; Layton, A, New numerical methods for Burgers' equation based on semiLagrangian and modified equation approaches,
Applied Numerical Mathematics, vol. 60 no. 6
(2010),
pp. 645657, ISSN 01689274 [doi] [abs]
 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. F616F633, ISSN 03636127 [doi] [abs]
 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. F634F647, ISSN 03636127 [doi] [abs]
 Hou, G; Wang, J; Layton, A, Numerical Methods for FluidStructure Interaction — A Review,
Communications in Computational Physics, vol. 12 no. 02
(August, 2012),
pp. 337377, ISSN 18152406 [doi] [abs]
 Wang, J; Layton, A, Numerical simulations of fiber sedimentation in Navierstokes flows,
Communications in Computational Physics, vol. 5 no. 1
(2008),
pp. 6183, ISSN 18152406 [abs]
 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. 91119 [pdf]
 Layton, AT, On the choice of correctors for semiimplicit Picard deferred correction methods,
Applied Numerical Mathematics, vol. 58 no. 6
(2008),
pp. 845858, ISSN 01689274 [doi] [abs]
 Layton, AT, On the efficiency of spectral deferred correction methods for timedependent partial differential equations,
Applied Numerical Mathematics, vol. 59 no. 7
(2009),
pp. 16291643, ISSN 01689274 [doi] [abs]
 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. 187205
 Gregory Herschlag, JianGuo Liu, and Anita T. Layton, Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit,
Phys Fluids, submitted
(2015)
 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. 6876, ISSN 00255564 [doi] [abs]
 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. F1269F1283 [doi] [abs]
 Wei, N; Gumz, ML; Layton, AT, Predicted effect of circadian clock modulation of NHE3 of a proximal tubule cell on sodium transport.,
American Journal of Physiology. Renal Physiology, vol. 315 no. 3
(September, 2018),
pp. F665F676 [doi] [abs]
 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. F708F719, ISSN 1931857X [doi] [abs]
 Fields, B; Page, K, Preface, vol. 2015June
(January, 2015), ISBN 9781450335638
 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. iii, ISSN 15313492 [doi]
 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. iiii, ISSN 18152406
 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)
 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. 175186
 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. 187205, ISSN 03784754 [doi] [abs]
 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. 175186, ISSN 03784754 [doi] [abs]
 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. F951F955, ISSN 1931857X [doi] [abs]
 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. F162F165 [doi] [abs]
 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]
 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. 313333 [doi] [abs]
 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. F643F657 [doi] [abs]
 Layton, AT; Vallon, V, Renal tubular solute transport and oxygen consumption: insights from computational models.,
Current Opinion in Nephrology and Hypertension, vol. 27 no. 5
(September, 2018),
pp. 384389 [doi] [abs]
 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)
 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)
 Layton, AT, Role of structural organization in the urine concentrating mechanism of an avian kidney.,
Mathematical Biosciences, vol. 197 no. 2
(2005),
pp. 211230, ISSN 00255564 [16135372], [doi] [abs]
 Lei, T; Zhou, L; Layton, AT; Zhou, H; Zhao, X; Bankir, L; Yang, B, Role of thin descending limb urea transport in renal urea handling and the urine concentrating mechanism.,
American Journal of Physiology. Renal Physiology, vol. 301 no. 6
(December, 2011),
pp. F1251F1259, ISSN 03636127 [doi] [abs]
 Pannabecker, TL; Dantzler, WH; Layton, HE; Layton, AT, Role of threedimensional architecture in the urine concentrating mechanism of the rat renal inner medulla.,
American Journal of Physiology. Renal Physiology, vol. 295 no. 5
(November, 2008),
pp. F1271F1285, ISSN 03636127 [doi] [abs]
 Layton, AT, Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney,
Faseb Journal, vol. 25
(April, 2011)
 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. 887929, ISSN 00928240 [17265123], [doi] [abs]
 Chen, Y; Sullivan, JC; Edwards, A; Layton, AT, Sexspecific 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. F174F183 [doi] [abs]
 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. 369383 [22577511], [doi] [abs]
 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. F1188F1202 [22262482], [doi] [abs]
 Olson, SD; Layton, AT, Simulating BiofluidStructure Interactions with an Immersed Boundary Framework  A Review,
Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 628
(2014),
pp. 136, ISBN 9780821898505 [doi]
 Sarah D. Olson and Anita T. Layton, Simulating FluidStructure Interactions  A Review,
AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications, vol. 628 no. 136
(2013)
 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. F1217F1229 [doi] [abs]
 Layton, AT, Sweet success? SGLT2 inhibitors and diabetes.,
American Journal of Physiology. Renal Physiology, vol. 314 no. 6
(June, 2018),
pp. F1034F1035 [doi]
 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. F649F655, ISSN 1931857X [doi] [abs]
 Layton, AT; Layton, HE; Dantzler, WH; Pannabecker, TL, The mammalian urine concentrating mechanism: hypotheses and uncertainties.,
Physiology (Bethesda, Md.), vol. 24
(August, 2009),
pp. 250256, ISSN 15489213 [19675356], [doi] [abs]
 Sgouralis, I; Layton, AT, Theoretical assessment of renal autoregulatory mechanisms.,
American Journal of Physiology. Renal Physiology, vol. 306 no. 11
(2014),
pp. F1357F1371, ISSN 1931857X [doi] [abs]
 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. 18500431850043 [doi]
 Pannabecker, TL; Dantzler, WH; Layton, AT; Layton, HE, Threedimensional reconstructions of rat renal inner medulla suggest two anatomically separated countercurrent mechanisms for urine concentration,
Faseb Journal, vol. 22
(April, 2008)
 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)
 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. 923960 [doi] [abs]
 NievesGonzález, 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. F653F664 [23097466], [doi] [abs]
 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. 10231049, ISSN 03036812 [23529284], [doi] [abs]
 Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle,
Faseb Journal, vol. 26
(April, 2012)
 Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle,
Faseb Journal, vol. 24
(April, 2010)
 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)
 Layton, AT; Edwards, A, Tubuloglomerular feedback signal transduction in a short loop of henle.,
Bulletin of Mathematical Biology, vol. 72 no. 1
(2010),
pp. 3462 [19657700], [doi] [abs]
 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. F816F839 [doi] [abs]
 Dantzler, WH; Pannabecker, TL; Layton, AT; Layton, HE, Urine concentrating mechanism in the inner medulla of the mammalian kidney: role of threedimensional architecture.,
Acta Physiologica, vol. 202 no. 3
(2011),
pp. 361378, ISSN 17481716 [doi] [abs]
 Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb UreaNa Cotransporter,
Faseb Journal, vol. 26
(April, 2012)
 Pannabecker, TL; Dantzler, WH; Layton, AT, Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb UreaNa Cotransporter,
Faseb Journal, vol. 24
(April, 2010)
 Layton, AT; Dantzler, WH; Pannabecker, TL, Urine concentrating mechanism: impact of vascular and tubular architecture and a proposed descending limb ureaNa+ cotransporter.,
American Journal of Physiology. Renal Physiology, vol. 302 no. 5
(2012),
pp. F591F605 [22088433], [doi] [abs]
 Dantzler, WH; Layton, AT; Layton, HE; Pannabecker, TL, Urineconcentrating 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. 17811789 [doi] [abs]
 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. 266272, ISSN 00457930 [doi] [abs]
 Layton, AT; Moore, LC; Layton, HE, Waveform distortion in TGFmediated limitcycle oscillations: Effects of TAL flow,
Faseb Journal, vol. 23
(April, 2009)


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

