Math @ Duke

Books
 Anita T. Layton and Sarah D. Olson (editors), Biological Fluid Dynamics: Modeling, Computation, and Applications,
AMS Contemporary Mathematics
(2014)
 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
 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)
 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)
 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]
Papers Published
 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]
 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; 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]
 Layton, AT, Sweet success? SGLT2 inhibitors and diabetes.,
American Journal of Physiology. Renal Physiology, vol. 314 no. 6
(June, 2018),
pp. F1034F1035 [doi]
 Leete, J; Gurley, S; Layton, A, Modeling Sex Differences in the Renin Angiotensin System and the Efficacy of Antihypertensive Therapies.,
Computers & Chemical Engineering, vol. 112
(April, 2018),
pp. 253264, Elsevier BV [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, Cardiovascular benefits of SGLT2 inhibition in diabetes and chronic kidney diseases.,
Acta Physiologica, vol. 222 no. 4
(April, 2018),
pp. e13050 [doi]
 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, World Scientific Pub Co Pte Lt [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]
 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]
 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; 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]
 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]
 Layton, AT, A new microscope for the kidney: mathematics.,
American Journal of Physiology. Renal Physiology, vol. 312 no. 4
(April, 2017),
pp. F671F672 [doi]
 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]
 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; 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]
 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]
 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]
 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, AIP Publishing [doi]
 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]
 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]
 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]
 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]
 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]
 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]
 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, Global Science Press, ISSN 18152406 [doi] [abs]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 Fields, B; Page, K, Preface, vol. 2015June
(January, 2015), ISBN 9781450335638
 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, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Anita T. Layton, Mathematical physiology,
in Princeton Companion to Applied Mathematics, edited by Nicholas J. Higham
(2015), ISBN 9780691150390
 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
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 Li, Y; Sgouralis, I; Layton, AT, Computing viscous flow in an elastic tube,
Numerical Mathematics, vol. 7 no. 4
(2014),
pp. 555574, ISSN 10048979 [doi] [abs]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 Li, Y; Williams, SA; Layton, AT, A hybrid immersed interface method for driven stokes flow in an elastic tube,
Numerical Mathematics, vol. 6 no. 4
(2013),
pp. 600616, ISSN 10048979 [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, Mathematical modeling of kidney transport.,
Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 5 no. 5
(September, 2013),
pp. 557573 [23852667], [doi] [abs]
 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]
 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
 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]
 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]
 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, Elsevier BV, ISSN 00219991 [doi] [abs]
 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)
 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]
 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, Global Science Press, ISSN 18152406 [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]
 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, Elsevier BV, ISSN 00219991 [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]
 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]
 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]
 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)
 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)
 Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle,
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. 26
(April, 2012)
 Edwards, A; Layton, AT, Impact of nitric oxidemediated vasodilation on outer medullary NaCl transport and oxygenation,
Faseb Journal, vol. 26
(April, 2012)
 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]
 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]
 Li, Z; Layton, AT; Bertozzi, A; Ambrose, DM; Witelski, T; Minion, ML, Preface,
Discrete and Continuous Dynamical Systems Series B, vol. 17 no. 4
(February, 2012),
pp. iii, American Institute of Mathematical Sciences (AIMS), ISSN 15313492 [doi]
 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, American Institute of Mathematical Sciences (AIMS), ISSN 15313492 [doi] [abs]
 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)
 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, 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
 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)
 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]
 Layton, AT, Modeling transport and flow regulatory mechanisms of the kidney,
ISRN Biomath, vol. 2012
(2012),
pp. ID: 170594, 18 pages
 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, WILEY, ISSN 20407939 [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]
 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]
 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; 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]
 Layton, AT, Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney,
Faseb Journal, vol. 25
(April, 2011)
 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)
 Pannabecker, TL; Layton, AT, Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing,
Faseb Journal, vol. 25
(April, 2011)
 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)
 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)
 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, 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.,
American Journal of Physiology. Renal Physiology, vol. 300 no. 2
(February, 2011),
pp. F356F371 [21068086], [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]
 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]
 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]
 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]
 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, 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; 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, Feedbackmediated dynamics in a model of a compliant thick ascending limb.,
Mathematical Biosciences, vol. 228 no. 2
(December, 2010),
pp. 185194 [20934438], [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]
 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]
 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, Elsevier BV, ISSN 01689274 [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, 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]
 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]
 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)
 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)
 Sgouralis, I; Layton, AT, Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole,
Faseb Journal, vol. 24
(April, 2010)
 Ryu, H; Layton, AT, Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle,
Faseb Journal, vol. 24
(April, 2010)
 Edwards, A; Layton, AT, Impact of nitric oxidemediated vasodilation on outer medullary NaCl transport and oxygenation,
Faseb Journal, vol. 24
(April, 2010)
 Layton, HE; Chen, J; Moore, LC; Layton, AT, A mathematical model of the afferent arteriolar smooth muscle cell,
Faseb Journal, vol. 24
(April, 2010)
 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)
 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]
 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]
 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]
 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]
 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]
 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]
 Hallen, MA; Layton, AT, Expanding the scope of quantitative FRAP analysis,
J. Theor. Biol., vol. 2 no. 21
(2010),
pp. 295305 [19836405], [doi] [abs]
 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
 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]
 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]
 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]
 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]
 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, Elsevier BV, ISSN 01689274 [doi] [abs]
 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, Elsevier BV, ISSN 00219991 [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]
 Edwards, A; Chen, J; Layton, AT, Impact of Rat Outer Medullary Architecture on Oxygen Distribution,
Faseb Journal, vol. 23
(April, 2009)
 Layton, AT; Moore, LC; Layton, HE, Waveform distortion in TGFmediated limitcycle oscillations: Effects of TAL flow,
Faseb Journal, vol. 23
(April, 2009)
 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, Elsevier BV, ISSN 00457930 [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]
 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, On the choice of correctors for semiimplicit Picard deferred correction methods,
Applied Numerical Mathematics, vol. 58 no. 6
(2008),
pp. 845858, Elsevier BV, ISSN 01689274 [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, Elsevier BV, ISSN 00457825 [doi] [abs]
 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)
 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)
 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]
 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
 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, A; Minion, M, Implications of the choice of predictors for semiimplicit Picard integral deferred correction methods,
Communications in Applied Mathematics and Computational Science, vol. 2 no. 1
(2007),
pp. 134, Mathematical Sciences Publishers [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]
 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; Christara, CC; Jackson, KR, Quadratic spline methods for the shallow water equations on the sphere: Galerkin,
Mathematics and Computers in Simulation, vol. 71 no. 3
(May, 2006),
pp. 175186, Elsevier BV, ISSN 03784754 [doi] [abs]
 Layton, AT; Christara, CC; Jackson, KR, Quadratic spline methods for the shallow water equations on the sphere: Collocation,
Mathematics and Computers in Simulation, vol. 71 no. 3
(May, 2006),
pp. 187205, Elsevier BV, ISSN 03784754 [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, Institute of Electrical and Electronics Engineers (IEEE), ISSN 00189219 [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
 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
 Layton, AT, Modeling Water Transport across Elastic Boundaries Using an Explicit Jump Method,
Siam Journal on Scientific Computing, vol. 28 no. 6
(January, 2006),
pp. 21892207, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [doi] [abs]
 Beale, T; Layton, A, On the accuracy of finite difference methods for elliptic problems with interfaces,
Communications in Applied Mathematics and Computational Science, vol. 1 no. 1
(2006),
pp. 91119, Mathematical Sciences Publishers [pdf], [doi]
 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
 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; 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, ANITAT, A METHODOLOGY FOR TRACKING SOLUTE DISTRIBUTION IN A MATHEMATICAL MODEL OF THE KIDNEY,
Journal of Biological Systems, vol. 13 no. 04
(December, 2005),
pp. 399419, World Scientific Pub Co Pte Lt, ISSN 02183390 [doi] [abs]
 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]
 Layton, AT; Minion, ML, Implications of the Choice of Quadrature Nodes for Picard Integral Deferred Corrections Methods for Ordinary Differential Equations,
Bit, vol. 45 no. 2
(June, 2005),
pp. 341373, Springer Nature [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
 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, 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, 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; 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]
 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
 Layton, AT; Minion, ML, Conservative multiimplicit spectral deferred correction methods for reacting gas dynamics,
Journal of Computational Physics, vol. 194 no. 2
(March, 2004),
pp. 697715, Elsevier BV [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, 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
 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, Elsevier BV [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, Elsevier BV [doi] [abs]
 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 SemiLagrangian Collocation Method for the Shallow Water Equations on the Sphere,
Siam Journal on Scientific Computing, vol. 24 no. 4
(2003),
pp. 14331449, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [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)
 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)
 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, 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; 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]
 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
 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, Elsevier BV, ISSN 00219991 [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; van de Panne, M, A numerically efficient and stable algorithm for animating water waves,
The Visual Computer, vol. 18 no. 1
(2002),
pp. 4153, Springer Nature, ISSN 01782789 [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
(January, 2002),
pp. 15261548, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [doi] [abs]
 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 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 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]
 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)
Papers Accepted
 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]
 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]
 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)
 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)
 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)
 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)
 Ioannis Sgouralis and Anita T. Layton, Conduction of feedbackmediated signal in a computational model of coupled nephron,
Med Math Biol, in press
(2014)
Papers Submitted
 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]
 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]
 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]
 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]
 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)
 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)
 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)


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

