Anita T. Layton - Publications

Affiliations: 
Mathematics Duke University, Durham, NC 
Area:
Mathematics

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Year Citation  Score
2021 Hu R, McDonough AA, Layton AT. Sex differences in solute and water handling in the human kidney: Modeling and functional implications. Iscience. 24: 102667. PMID 34169242 DOI: 10.1016/j.isci.2021.102667  0.304
2020 Hu R, McDonough AA, Layton AT. Sex-Differences in Solute Transport Along the Nephrons: Effects of Na Transport Inhibition. American Journal of Physiology. Renal Physiology. PMID 32744084 DOI: 10.1152/Ajprenal.00240.2020  0.373
2020 Prieto-García L, Vicente-Vicente L, Blanco-Gozalo V, Hidalgo-Thomas O, García-Macías MC, Kurtz A, Layton AT, Sanz AB, Morales AI, Martínez-Salgado C, Pericacho M, Sancho-Martínez SM, López-Hernández FJ. Pathophysiological mechanisms underlying a rat model of triple whammy acute kidney injury. Laboratory Investigation; a Journal of Technical Methods and Pathology. PMID 32719543 DOI: 10.1038/S41374-020-0473-9  0.391
2020 Ahmed S, Layton AT. Sex-Specific Computational Models for Blood Pressure Regulation in the Rat. American Journal of Physiology. Renal Physiology. PMID 32036698 DOI: 10.1152/Ajprenal.00376.2019  0.411
2019 Edwards A, Palm F, Layton AT. A Model of Mitochondrial O Consumption and ATP Generation in Rat Proximal Tubule Cells. American Journal of Physiology. Renal Physiology. PMID 31790302 DOI: 10.1152/Ajprenal.00330.2019  0.356
2019 Hu R, McDonough AA, Layton AT. Functional implications of the differences in transporters' abundance along the rat nephron: modeling and analysis. American Journal of Physiology. Renal Physiology. PMID 31566436 DOI: 10.1152/Ajprenal.00352.2019  0.364
2019 Layton AT. Solute and Water Transport along an Inner-medullary Collecting Duct Undergoing Peristaltic Contractions. American Journal of Physiology. Renal Physiology. PMID 31313955 DOI: 10.1152/Ajprenal.00265.2019  0.408
2019 Fattah H, Layton A, Vallon V. How Do Kidneys Adapt to a Deficit or Loss in Nephron Number? Physiology (Bethesda, Md.). 34: 189-197. PMID 30968755 DOI: 10.1152/Physiol.00052.2018  0.307
2019 Ahmed S, Hu R, Leete J, Layton AT. Understanding Sex Differences in Long-term Blood Pressure Regulation: Insights from Experimental Studies and Computational Modeling. American Journal of Physiology. Heart and Circulatory Physiology. PMID 30875261 DOI: 10.1152/Ajpheart.00035.2019  0.33
2019 Layton AT, Layton HE. A computational model of epithelial solute and water transport along a human nephron. Plos Computational Biology. 15: e1006108. PMID 30802242 DOI: 10.1371/Journal.Pcbi.1006108  0.455
2019 Layton AT. Recent advances in renal epithelial transport. American Journal of Physiology. Renal Physiology. 316: F274-F276. PMID 30516422 DOI: 10.1152/Ajprenal.00510.2018  0.375
2019 Layton AT. Multiscale models of kidney function and diseases Current Opinion in Biomedical Engineering. 11: 1-8. DOI: 10.1016/J.Cobme.2019.09.006  0.374
2018 Leete J, Layton AT. Sex-specific long-term blood pressure regulation: Modeling and analysis. Computers in Biology and Medicine. 104: 139-148. PMID 30472496 DOI: 10.1016/J.Compbiomed.2018.11.002  0.328
2018 Layton AT, Vallon V. Renal tubular solute transport and oxygen consumption: insights from computational models. Current Opinion in Nephrology and Hypertension. 27: 384-389. PMID 30016311 DOI: 10.1097/Mnh.0000000000000435  0.404
2018 Layton AT. Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases. Biological Cybernetics. PMID 29955959 DOI: 10.1007/S00422-018-0765-Y  0.382
2018 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. PMID 29846110 DOI: 10.1152/Ajprenal.00171.2018  0.371
2018 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. PMID 29537313 DOI: 10.1152/Ajprenal.00008.2018  0.435
2018 Layton AT, Vallon V. Cardiovascular benefits of SGLT2 inhibition in diabetes and chronic kidney diseases. Acta Physiologica (Oxford, England). PMID 29424089 DOI: 10.1111/Apha.13050  0.316
2018 Layton AT, Vallon V. SGLT2 Inhibition in a Kidney with Reduced Nephron Number: Modeling and Analysis of Solute Transport and Metabolism. American Journal of Physiology. Renal Physiology. PMID 29361669 DOI: 10.1152/Ajprenal.00551.2017  0.378
2018 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. 11: 1850043. DOI: 10.1142/S1793524518500432  0.331
2017 Layton AT, Edwards A, Vallon V. Renal potassium handling in rats with subtotal nephrectomy: Modeling and Analysis. American Journal of Physiology. Renal Physiology. PMID 29357444 DOI: 10.1152/Ajprenal.00460.2017  0.322
2017 Edwards A, Layton AT. Cell Volume Regulation in the Proximal Tubule of Rat Kidney : Proximal Tubule Cell Volume Regulation. Bulletin of Mathematical Biology. PMID 28900833 DOI: 10.1007/S11538-017-0338-6  0.302
2017 Chen Y, Fry BC, Layton AT. Modeling Glucose Metabolism and Lactate Production in the Kidney. Mathematical Biosciences. PMID 28495544 DOI: 10.1016/J.Mbs.2017.04.008  0.399
2017 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. ajprenal.00482.2016. PMID 28356289 DOI: 10.1152/Ajprenal.00482.2016  0.404
2017 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. ajprenal.00018.2017. PMID 28331059 DOI: 10.1152/Ajprenal.00018.2017  0.447
2016 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. PMID 27914708 DOI: 10.1016/J.Kint.2016.09.017  0.351
2016 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. ajprenal.00294.2016. PMID 27707706 DOI: 10.1152/Ajprenal.00294.2016  0.342
2016 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. ajprenal.00293.2016. PMID 27707705 DOI: 10.1152/Ajprenal.00293.2016  0.331
2016 Sgouralis I, Kett MM, Ow CP, 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 modelling studies. American Journal of Physiology. Regulatory, Integrative and Comparative Physiology. ajpregu.00195.2016. PMID 27385734 DOI: 10.1152/Ajpregu.00195.2016  0.393
2016 Chen Y, Fry BC, Layton AT. Modeling Glucose Metabolism in the Kidney. Bulletin of Mathematical Biology. PMID 27371260 DOI: 10.1007/S11538-016-0188-7  0.375
2016 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. PMID 27281792 DOI: 10.1093/Imammb/Dqw010  0.409
2016 Sgouralis I, Maroulas V, Layton AT. Transfer Function Analysis of Dynamic Blood Flow Control in the Rat Kidney. Bulletin of Mathematical Biology. PMID 27173401 DOI: 10.1007/S11538-016-0168-Y  0.44
2016 Liu R, Layton AT. Modeling the effects of positive and negative feedback in kidney blood flow control. Mathematical Biosciences. PMID 26972744 DOI: 10.1016/J.Mbs.2016.02.007  0.412
2016 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. 310: F237-47. PMID 26831340 DOI: 10.1152/Ajprenal.00334.2015  0.378
2016 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. ajprenal.00543.2015. PMID 26764207 DOI: 10.1152/Ajprenal.00543.2015  0.354
2016 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. 33: 87-106. PMID 25795767 DOI: 10.1093/Imammb/Dqv005  0.387
2016 Herschlag G, Liu JG, Layton AT. Fluid extraction across pumping and permeable walls in the viscous limit Physics of Fluids. 28. DOI: 10.1063/1.4946005  0.333
2015 Xie L, Layton AT, Wang N, Larson PE, 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. ajprenal.00351.2015. PMID 26447222 DOI: 10.1152/Ajprenal.00351.2015  0.352
2015 Layton AT, Edwards A. Predicted Effects of Nitric Oxide and Superoxide on the Vasoactivity of the Afferent Arteriole. American Journal of Physiology. Renal Physiology. ajprenal.00187.2015. PMID 26180238 DOI: 10.1152/Ajprenal.00187.2015  0.355
2015 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. 308: F1343-57. PMID 25855513 DOI: 10.1152/Ajprenal.00007.2015  0.368
2015 Sgouralis I, Layton AT. Mathematical modeling of renal hemodynamics in physiology and pathophysiology. Mathematical Biosciences. 264: 8-20. PMID 25765886 DOI: 10.1016/J.Mbs.2015.02.016  0.432
2015 Ford Versypt AN, Makrides E, Arciero JC, Ellwein L, Layton AT. Bifurcation study of blood flow control in the kidney. Mathematical Biosciences. 263: 169-79. PMID 25747903 DOI: 10.1016/J.Mbs.2015.02.015  0.457
2015 Layton AT. Recent advances in renal hemodynamics: insights from bench experiments and computer simulations. American Journal of Physiology. Renal Physiology. 308: F951-5. PMID 25715984 DOI: 10.1152/Ajprenal.00008.2015  0.381
2015 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. 308: F967-80. PMID 25651567 DOI: 10.1152/Ajprenal.00600.2014  0.433
2015 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. 3. PMID 25602016 DOI: 10.14814/Phy2.12260  0.384
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. 18: 429-449. DOI: 10.4208/Cicp.171014.270315A  0.321
2015 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. 75: 2246-2267. DOI: 10.1137/140995854  0.302
2014 Layton AT. Mathematical modeling of urea transport in the kidney. Sub-Cellular Biochemistry. 73: 31-43. PMID 25298337 DOI: 10.1007/978-94-017-9343-8_3  0.443
2014 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. 258: 68-76. PMID 25260928 DOI: 10.1016/J.Mbs.2014.09.009  0.419
2014 Pannabecker TL, Layton AT. Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture. American Journal of Physiology. Renal Physiology. 307: F649-55. PMID 25056344 DOI: 10.1152/Ajprenal.00276.2014  0.424
2014 Fry BC, Edwards A, Sgouralis I, Layton AT. Impact of renal medullary three-dimensional architecture on oxygen transport. American Journal of Physiology. Renal Physiology. 307: F263-72. PMID 24899054 DOI: 10.1152/Ajprenal.00149.2014  0.45
2014 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. 307: F137-46. PMID 24848496 DOI: 10.1152/Ajprenal.00158.2014  0.419
2014 Sgouralis I, Layton AT. Theoretical assessment of renal autoregulatory mechanisms. American Journal of Physiology. Renal Physiology. 306: F1357-71. PMID 24623150 DOI: 10.1152/Ajprenal.00649.2013  0.431
2014 Moss R, Layton AT. Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: A mathematical model American Journal of Physiology - Renal Physiology. 306: F952-F969. PMID 24553433 DOI: 10.1152/Ajprenal.00500.2013  0.445
2014 Edwards A, Layton AT. Calcium dynamics underlying the myogenic response of the renal afferent arteriole. American Journal of Physiology. Renal Physiology. 306: F34-48. PMID 24173354 DOI: 10.1152/Ajprenal.00317.2013  0.322
2014 Dantzler WH, Layton AT, Layton HE, Pannabecker TL. Urine-concentrating mechanism in the inner medulla: function of the thin limbs of the loops of Henle. Clinical Journal of the American Society of Nephrology : Cjasn. 9: 1781-9. PMID 23908457 DOI: 10.2215/Cjn.08750812  0.455
2014 Ryu H, Layton AT. Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney. Journal of Mathematical Biology. 68: 1023-49. PMID 23529284 DOI: 10.1007/S00285-013-0667-5  0.621
2013 Sgouralis I, Layton AT. Control and modulation of fluid flow in the rat kidney. Bulletin of Mathematical Biology. 75: 2551-74. PMID 24132579 DOI: 10.1007/S11538-013-9907-5  0.476
2013 Layton AT, Bankir L. Impacts of Active Urea Secretion into Pars Recta on Urine Concentration and Urea Excretion Rate. Physiological Reports. 1. PMID 24058732 DOI: 10.1002/Phy2.34  0.432
2013 Layton AT. Mathematical modeling of kidney transport. Wiley Interdisciplinary Reviews. Systems Biology and Medicine. 5: 557-73. PMID 23852667 DOI: 10.1002/Wsbm.1232  0.441
2013 Nieves-González A, Clausen C, Marcano M, Layton AT, Layton HE, Moore LC. Fluid dilution and efficiency of Na(+) transport in a mathematical model of a thick ascending limb cell. American Journal of Physiology. Renal Physiology. 304: F634-52. PMID 23097469 DOI: 10.1152/Ajprenal.00100.2012  0.373
2013 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. 304: F653-64. PMID 23097466 DOI: 10.1152/Ajprenal.00101.2012  0.387
2013 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. 30: 191-212. PMID 22511507 DOI: 10.1093/Imammb/Dqs020  0.616
2013 Li Y, Williams SA, Layton AT. A hybrid immersed interface method for driven stokes flow in an elastic tube Numerical Mathematics. 6: 600-616. DOI: 10.1017/S1004897900000337  0.36
2013 Leiderman K, Bouzarth EL, Cortez R, Layton AT. A regularization method for the numerical solution of periodic Stokes flow Journal of Computational Physics. 236: 187-202. DOI: 10.1016/J.Jcp.2012.09.035  0.311
2012 Layton AT. Modeling Transport and Flow Regulatory Mechanisms of the Kidney. Isrn Biomathematics. 2012. PMID 23914303 DOI: 10.5402/2012/170594  0.437
2012 Edwards A, Layton AT. Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation. American Journal of Physiology. Renal Physiology. 303: F907-17. PMID 22791340 DOI: 10.1152/Ajprenal.00055.2012  0.38
2012 Layton AT, Pham P, Ryu H. Signal transduction in a compliant short loop of Henle. International Journal For Numerical Methods in Biomedical Engineering. 28: 369-83. PMID 22577511 DOI: 10.1002/Cnm.1475  0.564
2012 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. 303: F229-39. PMID 22496414 DOI: 10.1152/Ajprenal.00589.2011  0.409
2012 Savage NS, Layton AT, Lew DJ. Mechanistic mathematical model of polarity in yeast. Molecular Biology of the Cell. 23: 1998-2013. PMID 22438587 DOI: 10.1091/Mbc.E11-10-0837  0.304
2012 Layton AT, Moore LC, Layton HE. Signal transduction in a compliant thick ascending limb. American Journal of Physiology. Renal Physiology. 302: F1188-202. PMID 22262482 DOI: 10.1152/Ajprenal.00732.2010  0.37
2012 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. 302: F830-9. PMID 22160770 DOI: 10.1152/Ajprenal.00539.2011  0.334
2012 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. 302: F591-605. PMID 22088433 DOI: 10.1152/Ajprenal.00263.2011  0.456
2012 Layton AT, Beale JT. A partially implicit hybrid method for computing interface motion in stokes flow Discrete and Continuous Dynamical Systems - Series B. 17: 1139-1153. DOI: 10.3934/Dcdsb.2012.17.1139  0.326
2012 Li Y, Layton AT. Accurate computation of Stokes flow driven by an open immersed interface Journal of Computational Physics. 231: 5195-5215. DOI: 10.1016/J.Jcp.2012.04.020  0.342
2011 Edwards A, Layton AT. Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide. American Journal of Physiology. Renal Physiology. 301: F979-96. PMID 21849492 DOI: 10.1152/Ajprenal.00096.2011  0.346
2011 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. 301: F1047-56. PMID 21753076 DOI: 10.1152/Ajprenal.00620.2010  0.339
2011 Layton AT, Bowen M, Wen A, Layton HE. Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs. Mathematical Biosciences. 230: 115-27. PMID 21329704 DOI: 10.1016/J.Mbs.2011.02.004  0.429
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. 300: F669-81. PMID 21190949 DOI: 10.1152/Ajprenal.00382.2010  0.419
2011 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. 300: F372-84. PMID 21068088 DOI: 10.1152/Ajprenal.00204.2010  0.474
2011 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. 300: F356-71. PMID 21068086 DOI: 10.1152/Ajprenal.00203.2010  0.483
2011 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 (Oxford, England). 202: 361-378. PMID 21054810 DOI: 10.1111/J.1748-1716.2010.02214.X  0.337
2011 Bouzarth EL, Layton AT, Young YN. Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets International Journal For Numerical Methods in Biomedical Engineering. 27: 2021-2034. DOI: 10.1002/Cnm.1454  0.337
2010 Layton AT. Feedback-mediated dynamics in a model of a compliant thick ascending limb. Mathematical Biosciences. 228: 185-94. PMID 20934438 DOI: 10.1016/J.Mbs.2010.10.002  0.443
2010 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. 299: F616-33. PMID 20534869 DOI: 10.1152/Ajprenal.00680.2009  0.393
2010 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. 299: F634-47. PMID 20519375 DOI: 10.1152/Ajprenal.00681.2009  0.375
2010 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. 298: F1369-83. PMID 20335320 DOI: 10.1152/Ajprenal.00572.2009  0.377
2010 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. 298: F973-87. PMID 20053796 DOI: 10.1152/Ajprenal.00249.2009  0.398
2010 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. 298: F962-72. PMID 20042460 DOI: 10.1152/Ajprenal.00250.2009  0.424
2010 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. 72: 314-39. PMID 19915926 DOI: 10.1007/S11538-009-9448-0  0.347
2010 Loreto M, Layton AT. An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney. Mathematical Biosciences. 223: 66-78. PMID 19891979 DOI: 10.1016/J.Mbs.2009.10.009  0.351
2010 Layton AT, Edwards A. Tubuloglomerular feedback signal transduction in a short loop of henle. Bulletin of Mathematical Biology. 72: 34-62. PMID 19657700 DOI: 10.1007/S11538-009-9436-4  0.456
2009 Layton AT, Layton HE, Dantzler WH, Pannabecker TL. The mammalian urine concentrating mechanism: hypotheses and uncertainties. Physiology (Bethesda, Md.). 24: 250-6. PMID 19675356 DOI: 10.1152/Physiol.00013.2009  0.367
2009 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. 297: F517-36. PMID 19403646 DOI: 10.1152/Ajprenal.90496.2008  0.351
2009 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. 297: F537-48. PMID 19403645 DOI: 10.1152/Ajprenal.90497.2008  0.409
2009 Layton AT, Moore LC, Layton HE. Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons. Bulletin of Mathematical Biology. 71: 515-55. PMID 19205808 DOI: 10.1007/S11538-008-9370-X  0.407
2009 Beale JT, Layton AT. A velocity decomposition approach for moving interfaces in viscous fluids Journal of Computational Physics. 228: 3358-3367. DOI: 10.1016/J.Jcp.2009.01.023  0.334
2009 Layton AT. Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces Computers and Fluids. 38: 266-272. DOI: 10.1016/J.Compfluid.2008.02.003  0.31
2008 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. 295: F1271-85. PMID 18495796 DOI: 10.1152/Ajprenal.90252.2008  0.339
2008 Layton AT. An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary Computer Methods in Applied Mechanics and Engineering. 197: 2147-2155. DOI: 10.1016/J.Cma.2007.08.018  0.342
2007 Layton AT. Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney. Bulletin of Mathematical Biology. 69: 887-929. PMID 17265123 DOI: 10.1007/S11538-005-9030-3  0.453
2006 Marcano M, Layton AT, Layton HE. An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism. Bulletin of Mathematical Biology. 68: 1625-60. PMID 16967257 DOI: 10.1007/S11538-006-9087-1  0.38
2006 Layton AT, Moore LC, Layton HE. Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats. American Journal of Physiology. Renal Physiology. 291: F79-97. PMID 16204416 DOI: 10.1152/Ajprenal.00048.2005  0.346
2006 Layton AT. Modeling water transport across elastic boundaries using an explicit jump method Siam Journal On Scientific Computing. 28: 2189-2207. DOI: 10.1137/050642198  0.381
2006 Thomas SR, Layton AT, Layton HE, Moore LC. Kidney modeling: Status and perspectives Proceedings of the Ieee. 94: 740-752. DOI: 10.1109/JPROC.2006.871770  0.306
2005 Layton AT. Role of structural organization in the urine concentrating mechanism of an avian kidney. Mathematical Biosciences. 197: 211-30. PMID 16135372 DOI: 10.1016/J.Mbs.2005.07.004  0.426
2005 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. 289: F1346-66. PMID 15914776 DOI: 10.1152/Ajprenal.00346.2003  0.47
2005 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. 289: F1367-81. PMID 15914775 DOI: 10.1152/Ajprenal.00347.2003  0.442
2005 Layton AT. A methodology for tracking solute distribution in a mathematical model of the kidney Journal of Biological Systems. 13: 399-419. DOI: 10.1142/S0218339005001598  0.374
2004 Layton AT, Pannabecker TL, Dantzler WH, Layton HE. Two modes for concentrating urine in rat inner medulla. American Journal of Physiology. Renal Physiology. 287: F816-39. PMID 15213067 DOI: 10.1152/Ajprenal.00398.2003  0.389
2004 Layton AT, Minion ML. Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics Journal of Computational Physics. 194: 697-715. DOI: 10.1016/J.Jcp.2003.09.010  0.336
2003 Layton AT, Layton HE. A region-based model framework for the rat urine concentrating mechanism. Bulletin of Mathematical Biology. 65: 859-901. PMID 12909254 DOI: 10.1016/S0092-8240(03)00045-4  0.46
2003 Layton AT, Layton HE. An efficient numerical method for distributed-loop models of the urine concentrating mechanism. Mathematical Biosciences. 181: 111-32. PMID 12445757 DOI: 10.1016/S0025-5564(02)00176-1  0.384
2003 Layton AT. A semi-Lagrangian collocation method for the shallow water equations on the sphere Siam Journal On Scientific Computing. 24: 1433-1449. DOI: 10.1137/S1064827501395021  0.32
2003 Bourlioux A, Layton AT, Minion ML. High-order multi-implicit spectral deferred correction methods for problems of reactive flow Journal of Computational Physics. 189: 651-675. DOI: 10.1016/S0021-9991(03)00251-1  0.322
2003 Layton AT, Spotz WF. A semi-Lagrangian double Fourier method for the shallow water equations on the sphere Journal of Computational Physics. 189: 180-196. DOI: 10.1016/S0021-9991(03)00207-9  0.316
2002 Layton AT, Layton HE. A numerical method for renal models that represent tubules with abrupt changes in membrane properties. Journal of Mathematical Biology. 45: 549-67. PMID 12439590 DOI: 10.1007/S00285-002-0166-6  0.435
2002 Layton AT, Layton HE. A semi-lagrangian semi-implicit numerical method for models of the urine concentrating mechanism Siam Journal On Scientific Computing. 23: 1526-1548. DOI: 10.1137/S1064827500381781  0.377
2002 Layton AT, Van de Panne M. A numerically efficient and stable algorithm for animating water waves Visual Computer. 18: 41-53. DOI: 10.1007/S003710100131  0.32
Low-probability matches (unlikely to be authored by this person)
2022 Layton AT, Gumz ML. Sex Differences in Circadian Regulation of Kidney Function of the Mouse. American Journal of Physiology. Renal Physiology. PMID 36264883 DOI: 10.1152/ajprenal.00227.2022  0.297
2020 Casanova AG, Fuentes-Calvo I, Hernández-Sánchez MT, Quintero M, Toral P, Caballero MT, Martínez-Salgado C, Morales AI, Layton AT, Eleno N, López-Hernández FJ. The furosemide stress test and computational modeling identify renal damage sites associated with predisposition to acute kidney injury in rats. Translational Research : the Journal of Laboratory and Clinical Medicine. PMID 33253980 DOI: 10.1016/j.trsl.2020.11.011  0.295
2019 Layton AT, Sullivan JC. Recent advances in sex differences in kidney function. American Journal of Physiology. Renal Physiology. 316: F328-F331. PMID 30565997 DOI: 10.1152/Ajprenal.00584.2018  0.293
2012 Hou G, Wang J, Layton A. Numerical Methods for Fluid-Structure Interaction — A Review Communications in Computational Physics. 12: 337-377. DOI: 10.4208/Cicp.291210.290411S  0.293
2008 Layton AT. On the choice of correctors for semi-implicit Picard deferred correction methods Applied Numerical Mathematics. 58: 845-858. DOI: 10.1016/J.Apnum.2007.03.003  0.293
2018 Ciocanel M, Stepien T, Sgouralis I, Layton A. A Multicellular Vascular Model of the Renal Myogenic Response Processes. 6: 89. DOI: 10.3390/PR6070089  0.292
2009 Layton AT. On the efficiency of spectral deferred correction methods for time-dependent partial differential equations Applied Numerical Mathematics. 59: 1629-1643. DOI: 10.1016/J.Apnum.2008.11.004  0.29
2009 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. 3: 441-60. PMID 20514134 DOI: 10.2976/1.3266062  0.289
2006 Layton AT, Christara CC, Jackson KR. Quadratic spline methods for the shallow water equations on the sphere: Collocation Mathematics and Computers in Simulation. 71: 187-205. DOI: 10.1016/J.Matcom.2004.10.008  0.288
2002 Layton AT. Cubic spline collocation method for the shallow water equations on the sphere Journal of Computational Physics. 179: 578-592. DOI: 10.1006/Jcph.2002.7075  0.287
2023 McDonough AA, Harris AN, Xiong LI, Layton AT. Sex differences in renal transporters: assessment and functional consequences. Nature Reviews. Nephrology. PMID 37684523 DOI: 10.1038/s41581-023-00757-2  0.284
2017 Layton AT. A New Microscope for the Kidney: Mathematics. American Journal of Physiology. Renal Physiology. ajprenal.00648.2016. PMID 28100504 DOI: 10.1152/Ajprenal.00648.2016  0.283
2010 Wang J, Layton A. New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches Applied Numerical Mathematics. 60: 645-657. DOI: 10.1016/J.Apnum.2010.03.007  0.282
2010 Hallen MA, Layton AT. Expanding the scope of quantitative FRAP analysis. Journal of Theoretical Biology. 262: 295-305. PMID 19836405 DOI: 10.1016/J.Jtbi.2009.10.020  0.28
2018 Leete J, Gurley S, Layton A. Modeling Sex Differences in the Renin Angiotensin System and the Efficacy of Antihypertensive Therapies. Computers & Chemical Engineering. 112: 253-264. PMID 30555192 DOI: 10.1016/J.Compchemeng.2018.02.009  0.28
2023 Hakimi S, Dutta P, Layton AT. Coupling of renal sodium and calcium transport: A modeling analysis of transporter inhibition and sex differences. American Journal of Physiology. Renal Physiology. PMID 37615047 DOI: 10.1152/ajprenal.00145.2023  0.276
2023 Layton AT. A Comparative Modeling Study of the Mitochondrial Function of the Proximal Tubule and Thick Ascending Limb Cells in the Rat Kidney. American Journal of Physiology. Renal Physiology. PMID 37994410 DOI: 10.1152/ajprenal.00290.2023  0.275
2022 Stadt MM, Layton AT. Sex and species differences in epithelial transport in rat and mouse kidneys: Modeling and analysis. Frontiers in Physiology. 13: 991705. PMID 36246142 DOI: 10.3389/fphys.2022.991705  0.274
2005 Layton AT, Minion ML. Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations Bit Numerical Mathematics. 45: 341-373. DOI: 10.1007/S10543-005-0016-1  0.273
2015 Burt T, Rouse DC, Lee K, Wu H, Layton AT, Hawk TC, Weitzel DH, Chin BB, Cohen-Wolkowiez M, Chow SC, 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. 56: 1793-9. PMID 26315828 DOI: 10.2967/Jnumed.115.160986  0.271
2011 Layton AT, Savage NS, Howell AS, Carroll SY, Drubin DG, Lew DJ. Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment. Current Biology : Cb. 21: 184-94. PMID 21277209 DOI: 10.1016/J.Cub.2011.01.012  0.269
2016 Layton AT. Recent Advances in Renal Hypoxia: Insights from Bench Experiments and Computer Simulations. American Journal of Physiology. Renal Physiology. ajprenal.00228.2016. PMID 27147670 DOI: 10.1152/ajprenal.00228.2016  0.264
2016 Nganguia H, Young YN, Layton AT, Lai MC, Hu WF. Electrohydrodynamics of a viscous drop with inertia. Physical Review. E. 93: 053114. PMID 27300985 DOI: 10.1103/Physreve.93.053114  0.263
2022 Swapnasrita S, Carlier A, Layton AT. Sex-Specific Computational Models of Kidney Function in Patients With Diabetes. Frontiers in Physiology. 13: 741121. PMID 35153824 DOI: 10.3389/fphys.2022.741121  0.262
2023 Stadt MM, West CA, Layton AT. Effect of pregnancy and hypertension on kidney function in female rats: Modeling and functional implications. Plos One. 18: e0279785. PMID 37253048 DOI: 10.1371/journal.pone.0279785  0.259
2021 Hu R, Layton A. A Computational Model of Kidney Function in a Patient with Diabetes. International Journal of Molecular Sciences. 22. PMID 34072329 DOI: 10.3390/ijms22115819  0.258
2011 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. 301: F1251-F1259. PMID 21849488 DOI: 10.1152/Ajprenal.00404.2011  0.254
2023 Dutta P, Sadria M, Layton AT. Influence of administration time and sex on natriuretic, diuretic, and kaliuretic effects of diuretics. American Journal of Physiology. Renal Physiology. 324: F274-F286. PMID 36701479 DOI: 10.1152/ajprenal.00296.2022  0.252
2021 Stadt MM, Layton AT. Adaptive changes in single-nephron GFR, tubular morphology, and transport in a pregnant rat nephron: modeling and analysis. American Journal of Physiology. Renal Physiology. 322: F121-F137. PMID 34894726 DOI: 10.1152/ajprenal.00264.2021  0.245
2014 Li Y, Sgouralis I, Layton AT. Computing viscous flow in an elastic tube Numerical Mathematics. 7: 555-574. DOI: 10.4208/nmtma.2014.1303si  0.244
2023 McDonough AA, Layton AT. Sex differences in renal electrolyte transport. Current Opinion in Nephrology and Hypertension. 32: 467-475. PMID 37382185 DOI: 10.1097/MNH.0000000000000909  0.225
2015 Burt T, Wu H, Layton A, Rouse D, Chin B, Hawk T, Weitzel D, Cohen-Wolkowiez M, Chow S, Noveck R. Intra-Arterial Microdosing (IAM), a novel Drug development approach, proof of concept in Rats Clinical Therapeutics. 37: e40-e41. DOI: 10.1016/J.Clinthera.2015.05.122  0.224
2022 Leete J, Wang C, López-Hernández FJ, Layton AT. Determining risk factors for triple whammy acute kidney injury. Mathematical Biosciences. 347: 108809. PMID 35390421 DOI: 10.1016/j.mbs.2022.108809  0.213
2012 Layton AT, Wei G. Interface methods for biological and biomedical problems. International Journal For Numerical Methods in Biomedical Engineering. 28: 289-90. PMID 25830199 DOI: 10.1002/Cnm.2477  0.213
2019 Sadria M, Karimi S, Layton AT. Network centrality analysis of eye-gaze data in autism spectrum disorder. Computers in Biology and Medicine. 111: 103332. PMID 31276943 DOI: 10.1016/J.Compbiomed.2019.103332  0.205
2017 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. PMID 28419765 DOI: 10.1111/Cts.12464  0.202
2021 Docherty NG, Delles C, D'Haese P, Layton AT, Martínez-Salgado C, Vervaet BA, López-Hernández FJ. Haemodynamic frailty - A risk factor for acute kidney injury in the elderly. Ageing Research Reviews. 70: 101408. PMID 34271185 DOI: 10.1016/j.arr.2021.101408  0.197
2020 Sadria M, Layton A. Ageing signalling pathways: Quantifying the effects of protein interactions The Faseb Journal. 34: 1-1. DOI: 10.1096/Fasebj.2020.34.S1.01894  0.195
2017 Layton AT. Sweet Success? SGLT2 Inhibitors and Diabetes. American Journal of Physiology. Renal Physiology. PMID 29357429 DOI: 10.1152/Ajprenal.00557.2017  0.187
2023 Sadria M, Layton A, Bader GD. Adversarial training improves model interpretability in single-cell RNA-seq analysis. Bioinformatics Advances. 3: vbad166. PMID 38099262 DOI: 10.1093/bioadv/vbad166  0.187
2023 Saulnier PJ, Looker HC, Layton A, Lemley KV, Nelson RG, Bjornstad P. Loss of Glomerular Permselectivity in Type 2 Diabetes Associates with Progression to Kidney Failure. Diabetes. PMID 37586079 DOI: 10.2337/db23-0310  0.186
2006 Layton AT, Christara CC, Jackson KR. Quadratic spline methods for the shallow water equations on the sphere: Galerkin Mathematics and Computers in Simulation. 71: 175-186. DOI: 10.1016/j.matcom.2004.10.008  0.163
2021 Ahmed S, Sullivan JC, Layton AT. Impact of sex and pathophysiology on optimal drug choice in hypertensive rats: quantitative insights for precision medicine. Iscience. 24: 102341. PMID 33870137 DOI: 10.1016/j.isci.2021.102341  0.159
2022 Stadt MM, Leete J, Devinyak S, Layton AT. A mathematical model of potassium homeostasis: Effect of feedforward and feedback controls. Plos Computational Biology. 18: e1010607. PMID 36538563 DOI: 10.1371/journal.pcbi.1010607  0.159
2023 Layton AT. "Hi, how can i help you?": embracing artificial intelligence in kidney research. American Journal of Physiology. Renal Physiology. 325: F395-F406. PMID 37589052 DOI: 10.1152/ajprenal.00177.2023  0.154
2023 Layton AT, Vallon V. Did you know how SGLT2 inhibitors protect the kidney? Acta Physiologica (Oxford, England). e14011. PMID 37288493 DOI: 10.1111/apha.14011  0.15
2020 Sadria M, Layton AT. Use of Angiotensin-Converting Enzyme Inhibitors and Angiotensin II Receptor Blockers During the COVID-19 Pandemic: A Modeling Analysis. Plos Computational Biology. 16: e1008235. PMID 33031368 DOI: 10.1371/journal.pcbi.1008235  0.147
2021 Layton AT. His and her mathematical models of physiological systems. Mathematical Biosciences. 108642. PMID 34119481 DOI: 10.1016/j.mbs.2021.108642  0.142
2021 Abo SMC, Layton AT. Modeling the circadian regulation of the immune system: Sexually dimorphic effects of shift work. Plos Computational Biology. 17: e1008514. PMID 33788832 DOI: 10.1371/journal.pcbi.1008514  0.124
2023 Stadt MM, Layton AT. Mathematical modeling of calcium homeostasis in female rats: An analysis of sex differences and maternal adaptations. Journal of Theoretical Biology. 572: 111583. PMID 37516344 DOI: 10.1016/j.jtbi.2023.111583  0.122
2024 Dutta P, Hakimi S, Layton AT. How the kidney regulates magnesium: a modelling study. Royal Society Open Science. 11: 231484. PMID 38511086 DOI: 10.1098/rsos.231484  0.12
2024 Affleck E, Sutherland E, Lindeman C, Golonka R, Price T, Murphy T, Williamson T, Chapman A, Layton A, Fraser C. Human Factor Health Data Interoperability. Healthcarepapers. 21: 47-55. PMID 38482657 DOI: 10.12927/hcpap.2024.27272  0.12
2024 Zheng K, Layton AT. Predicting Sex Differences in the Effects of Diuretics in Renal Epithelial Transport during Angiotensin II-induced Hypertension. American Journal of Physiology. Renal Physiology. PMID 38482554 DOI: 10.1152/ajprenal.00398.2023  0.12
2024 Stadt MM, Layton AT. A modeling analysis of whole-body potassium regulation on a high potassium diet: Proximal tubule and tubuloglomerular feedback effects. American Journal of Physiology. Regulatory, Integrative and Comparative Physiology. PMID 38465401 DOI: 10.1152/ajpregu.00283.2023  0.12
2022 Abo S, Smith D, Stadt M, Layton A. Modelling female physiology from head to Toe: Impact of sex hormones, menstrual cycle, and pregnancy. Journal of Theoretical Biology. 540: 111074. PMID 35227731 DOI: 10.1016/j.jtbi.2022.111074  0.109
2021 Sadria M, Layton AT. Modeling within-Host SARS-CoV-2 Infection Dynamics and Potential Treatments. Viruses. 13. PMID 34198530 DOI: 10.3390/v13061141  0.105
2023 Smith D, Layton A. The intrarenal renin-angiotensin system in hypertension: insights from mathematical modelling. Journal of Mathematical Biology. 86: 58. PMID 36952058 DOI: 10.1007/s00285-023-01891-y  0.103
2024 Abo SMC, Casella E, Layton AT. Sexual Dimorphism in Substrate Metabolism During Exercise. Bulletin of Mathematical Biology. 86: 17. PMID 38228814 DOI: 10.1007/s11538-023-01242-4  0.1
2007 Layton A, Minion M. Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods Communications in Applied Mathematics and Computational Science. 2: 1-34. DOI: 10.2140/camcos.2007.2.1  0.097
2021 Sadria M, Layton AT. Interactions among mTORC, AMPK and SIRT: a computational model for cell energy balance and metabolism. Cell Communication and Signaling : Ccs. 19: 57. PMID 34016143 DOI: 10.1186/s12964-021-00706-1  0.092
2006 Beale T, Layton A. On the accuracy of finite difference methods for elliptic problems with interfaces Communications in Applied Mathematics and Computational Science. 1: 91-119. DOI: 10.2140/camcos.2006.1.91  0.089
2021 Sadria M, Layton AT. Aging affects circadian clock and metabolism and modulates timing of medication. Iscience. 24: 102245. PMID 33796837 DOI: 10.1016/j.isci.2021.102245  0.088
2024 Layton AT. AI, Machine Learning, and ChatGPT in Hypertension. Hypertension (Dallas, Tex. : 1979). PMID 38380541 DOI: 10.1161/HYPERTENSIONAHA.124.19468  0.087
2022 Layton AT, Sadria M. Understanding the dynamics of SARS-CoV-2 variants of concern in Ontario, Canada: a modeling study. Scientific Reports. 12: 2114. PMID 35136161 DOI: 10.1038/s41598-022-06159-x  0.079
2022 Sadria M, Seo D, Layton AT. The mixed blessing of AMPK signaling in Cancer treatments. Bmc Cancer. 22: 105. PMID 35078427 DOI: 10.1186/s12885-022-09211-1  0.056
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