2023
Sadria, M., Layton, A., & Bader, G. (2023). Adversarial training improves model interpretability in single-cell RNA-seq analysis BioRxiv, 2023\textendash05.
Basu, N. B., Dony, J., Van Meter, K., Johnston, S. J., & Layton, A. T. (2023). A random forest in the Great Lakes: Stream nutrient concentrations across the transboundary Great Lakes Basin Earth\textquoterights Future, 11, e2021EF002571.
Saulnier, P. J., Looker, H. C., Layton, A., Lemley, K. , V, Nelson, R. G., & Bjornstad, P. (2023). Loss of Glomerular Permselectivity in Type 2 Diabetes Associates with Progression to Kidney Failure Diabetes, 72, 1682\textendash1691.
Stadt, M. M., West, C. A., & Layton, A. T. (2023). Effect of pregnancy and hypertension on kidney function in female rats: Modeling and functional implications Plos One, 18, e0279785.
Abo, S. ephanie M., Carrillo, J. e A., & Layton, A. T. (2023). Can the clocks tick together despite the noise? Stochastic simulations and analysis SIAM Journal on Applied Dynamical Systems, 22, 850\textendash877.
Layton, A., & Dutta, P. (2023). Sex and time-of-day differences in kidney oxygen consumption BioRxiv, 2023\textendash04.
Stadt, M. M., & Layton, A. T. (2023). Mathematical modeling of calcium homeostasis in female rats: An analysis of sex differences and maternal adaptations Journal of Theoretical Biology, 572, 111583.
Layton, A. T. (2023). “Hi, how can i help you?”: embracing artificial intelligence in kidney research American Journal of Physiology-Renal Physiology, 325, F395–F406.
Hakimi, S., Dutta, P., & Layton, A. (2023). Coupling of renal sodium and calcium transport: A modeling analysis BioRxiv, 2023\textendash05.
McDonough, A. A., Layton, & T., A. (2023). Sex differences in renal electrolyte transport Current Opinion in Nephrology and Hypertension, 10, 1097.
Dutta, P., & Layton, A. (2023). Modeling magnesium and calcium transport along male rat kidney and the effects of diuretics BioRxiv, 2023\textendash10.
Smith, D., & Layton, A. (2023). Impact of angiotensin-receptor blockers on intrarenal renin-angiotensin system activity in hypertension: A PK/PD modelling study BioRxiv, 2023\textendash07.
Hakimi, S., Dutta, P., & Layton, A. T. (2023). Coupling of renal sodium and calcium transport: a modeling analysis of transporter inhibition and sex differences American Journal of Physiology-Renal Physiology, 325, F536\textendashF551.
McDonough, A. A., Harris, A. N., Xiong, L., & Layton, A. T. (2023). Sex differences in renal transporters: assessment and functional consequences Nature Reviews Nephrology, 1\textendash16.
Sadria, M., Bjornstad, P., Pottumarthi, P., Lu-Ping, L., Pyle, L., Vigers, T., & Layton, A. (2023). A multimodal neural network that distinguishes between type 1 and type 2 diabetes in young persons using MRI and clinical data Physiology, 38, 5695980.
Dutta, P., Sadria, M., & Layton, A. T. (2023). Influence of administration time and sex on natriuretic, diuretic, and kaliuretic effects of diuretics American Journal of Physiology-Renal Physiology, 324, F274\textendashF286.
Layton, A. T., & Vallon, V. (2023). Did you know how SGLT2 inhibitors protect the kidney?
Sadria, M., & Layton, A. (2023). The Power of Two: integrating deep diffusion models and variational autoencoders for single-cell transcriptomics analysis BioRxiv, 2023\textendash04.
Smith, D., & Layton, A. (2023). The intrarenal renin-angiotensin system in hypertension: insights from mathematical modelling Journal of Mathematical Biology, 86, 58.
Stadt, M., Alexander, T., & Layton, A. (2023). Differential impacts of pregnancy and lactation on maternal calcium homeostasis: a mathematical modeling analysis Physiology, 38, 5730988.
2022
Abo, S. ephanie, Smith, D., Stadt, M., & Layton, A. (2022). Modelling female physiology from head to toe: Impact of sex hormones, menstrual cycle, and pregnancy Journal of Theoretical Biology, 540, 111074.
Stadt, M., & Layton, A. (2022). Presented at the Adaptive Changes in GFR, Tubular Morphology and Transport in Pregnant Rat Kidneys: Modeling and Analysis conference. JMM 2022: AMS. (Original work published 2022)
Sadria, M., Layton, A., Goyal, S., & Bader, G. (2022). Fatecode: Cell fate regulator prediction using classification autoencoder perturbation BioRxiv, 2022\textendash12.
Bell, W., & Layton, A. T. (2022). A Complete Set of Equations and Parameters for the Computational Model of Mitochondrial Function for the Proximal Convoluted Tubule and Medullary Thick Ascending Limb Cells in the Rat Kidney BioRxiv, 2022\textendash01.
Swapnasrita, S., Carlier, A., & Layton, A. T. (2022). Sex-specific computational models of kidney function in patients with diabetes Frontiers in Physiology, 13, 14.
Stadt, M. M., & Layton, A. T. (2022). 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\textendashF137.
Layton, A. T., & Gumz, M. L. (2022). Modelling Sex Differences in Circadian Regulation of Kidney Function of the Mouse BioRxiv, 2022\textendash08.
Stadt, M. M., & Layton, A. (2022). From your kidneys to your eyes: lessons from computational kidney models Modeling and Artificial Intelligence in Ophthalmology, 4.
Layton, A. T. (2022). A Complete Set of Equations for a Computational Model of Electrolyte and Water Transport along the Nephrons in a Mammalian Kidney BioRxiv, 2022\textendash09.
Layton, A. T., & Sadria, M. (2022). Understanding the dynamics of SARS-CoV-2 variants of concern in Ontario, Canada: a modeling study Scientific Reports, 12, 2114.
Carrillo, J., Abo, S., & Layton, A. T. (2022). Can the clocks tick together despite the noise? Stochastic simulations and analysis
Sadria, M., & Layton, A. (2022). A predictive model for estimating protection against CKD and CVD with SGLT2 inhibition in patients with diabetes The FASEB Journal, 36.
Smith, D., & Layton, A. (2022). Intrarenal Renin-Angiotensin System and its Role in Angiotensin II-Induced Hypertension: Insights from Computational Modelling The FASEB Journal, 36.
Abo, S. ephanie, Hakimi, S., Layton, A. T., Sadria, M., Smith, D., Stadt, M., & West, C. (2022). Control Applications for Biomedical Engineering Systems SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
Stadt, M. M., Abo, S. ephanie, & Layton, A. T. (2022). Circadian Regulation of Electrolyte and Water Transport in the Rat Kidney SIAM Journal on Applied Mathematics, S1\textendashS16.
Stadt, M., & Layton, A. (2022). Renal adaptations in gestational hypertension preserves K+ while minimizing Na+ retention The FASEB Journal, 36.
Stadt, M. M., Leete, J., Devinyak, S., & Layton, A. T. (2022). A mathematical model of potassium homeostasis: Effect of feedforward and feedback controls PLOS Computational Biology, 18, e1010607.
Dutta, P., Sadria, M., & Layton, A. (2022). Determinants of natriuretic, diuretic, and kaliuretic effects of diuretics: Sex and administration time BioRxiv, 2022\textendash12.
Evans, R. A., Leavy, O. C., Richardson, M., Elneima, O., McAuley, H. J., Shikotra, A., … others. (2022). Clinical characteristics with inflammation profiling of long COVID and association with 1-year recovery following hospitalisation in the UK: a prospective observational study The Lancet Respiratory Medicine, 10, 761\textendash775.
Stadt, M. M., & Layton, A. T. (2022). Sex and species differences in epithelial transport in rat and mouse kidneys: Modeling and analysis Frontiers in Physiology, 13, 991705.
Sadria, M., Seo, D., & Layton, A. T. (2022). The mixed blessing of AMPK signaling in Cancer treatments BMC Cancer, 22, 1\textendash16.
Leete, J., Wang, C., andez, F. J. L. opez-H., & Layton, A. T. (2022). Determining risk factors for triple whammy acute kidney injury Mathematical Biosciences, 347, 108809.
Layton, A. T. (2022). A Comparative Study of Epithelial Transport in the Rat and Mouse Kidneys: Modelling and Analysis BioRxiv, 2022\textendash07.
Layton, A. T., & Gumz, M. L. (2022). Sex differences in circadian regulation of kidney function of the mouse American Journal of Physiology-Renal Physiology, 323, F675\textendashF685.
2021
Bell, W., & Layton, A. T. (2021). A Mathematical Model of Mitochondria in Proximal Tubule and Thick Ascending Limb Cells BioRxiv, 2021\textendash12.
Casanova, A. G., Fuentes-Calvo, I., anchez, M. \ia T. H. andez-S., Quintero, M., Toral, P., Caballero, M. \ia T., … others. (2021). The furosemide stress test and computational modeling identify renal damage sites associated with predisposition to acute kidney injury in rats Translational Research, 231, 76\textendash91.
Hu, R., & Layton, A. (2021). A computational model of kidney function in a patient with diabetes International Journal of Molecular Sciences, 22, 5819.
Layton, A. T. (2021). Sex-specific Effects of SGLT2 Inhibition in a Kidney with Reduced Nephron Number: Modeling and Analysis BioRxiv, 2021\textendash12.
Layton, A., & Sadria, M. (2021). Mining of Massive Datasets. SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
Docherty, N. G., Delles, C., D\textquoterightHaese, P., Layton, A. T., inez-Salgado, C. M. \, Vervaet, B. A., & andez, F. J. L. opez-H. (2021). Haemodynamic frailty\textendashA risk factor for acute kidney injury in the elderly Ageing Research Reviews, 70, 101408.
Patterson, S. E., & Layton, A. T. (2021). Computing viscous flow along a 2D open channel using the immersed interface method Engineering Reports, 3, e12334.
Abo, S. ephanie, & Layton, A. (2021). Presented at the Sex-Specific Effects of Shiftwork-Mediated Disruptions of Circadian Rhythms on the Inflammatory Response conference. JMM 2021: AMS.
Bell, W., & Layton, A. T. (2021). A Model of Mitochondria in the Rat Hepatocyte BioRxiv, 2021\textendash12.
Layton, A. T. (2021). His and her mathematical models of physiological systems Mathematical Biosciences, 338, 108642.
Patterson, S. E., & Layton, A. T. (2021). Computing Viscous Flow Along a 3D Open Tube Using the Immerse Interface Method ArXiv Preprint ArXiv:2112.12892.
Abo, S. ephanie M., & Layton, A. T. (2021). Modeling the circadian regulation of the immune system: Sexually dimorphic effects of shift work PLoS Computational Biology, 17, e1008514.
Ahmed, S., Sullivan, J. C., & Layton, A. T. (2021). Impact of sex and pathophysiology on optimal drug choice in hypertensive rats: quantitative insights for precision medicine Iscience, 24.
Layton, A. T. (2021). Deep Learning for Medical Decision Support Systems SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
Sadria, M., & Layton, A. T. (2021). Aging affects circadian clock and metabolism and modulates timing of medication Iscience, 24.
Sadria, M., & Layton, A. T. (2021). Modeling within-host SARS-CoV-2 infection dynamics and potential treatments Viruses, 13, 1141.
Sadria, M., & Layton, A. T. (2021). Interactions among mTORC, AMPK and SIRT: a computational model for cell energy balance and metabolism Cell Communication and Signaling, 19, 1\textendash17.
Abo, S. ephanie, & Layton, A. T. (2021). The Dynamics of Biological Systems SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
Sadria, M., & Layton, A. T. (2021). A computational model for cell energy balance and metabolism
Hu, R., McDonough, A. A., & Layton, A. T. (2021). Sex differences in solute and water handling in the human kidney: Modeling and functional implications IScience, 24.
2020
Edwards, A. elie, Palm, F., & Layton, A. T. (2020). A model of mitochondrial O2 consumption and ATP generation in rat proximal tubule cells American Journal of Physiology-Renal Physiology, 318, F248\textendashF259.
ia, L. P.-G. \, Vicente-Vicente, L., Blanco-Gozalo, V. \ictor, Hidalgo-Thomas, O., ias, M. \ia C. G. \ia-M. \, Kurtz, A., … others. (2020). Pathophysiological mechanisms underlying a rat model of triple whammy acute kidney injury Laboratory Investigation, 100, 1455\textendash1464.
Sadria, M., & Layton, A. (2020). Ageing signalling pathways: Quantifying the effects of protein interactions The FASEB Journal, 34, 1\textendash1.
Hu, R., McDonough, A. A., & Layton, A. T. (2020). Sex differences in solute transport along the nephrons: effects of Na+ transport inhibition American Journal of Physiology-Renal Physiology, 319, F487\textendashF505.
Layton, A. T., & Hu, R. (2020). Diabetes implications on kidneys IOP Publishing Bristol, UK.
Ahmed, S., & Layton, A. T. (2020). Sex-specific computational models for blood pressure regulation in the rat American Journal of Physiology-Renal Physiology, 318, F888\textendashF900.
Sadria, M., & Layton, A. T. (2020). A First Course in Systems Biology. SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
Sadria, M., & Layton, A. T. (2020). Use of angiotensin-converting enzyme inhibitors and angiotensin II receptor blockers during the COVID-19 pandemic: a modeling analysis PLoS Computational Biology, 16, e1008235.
Layton, A. T. (2020). Mathematical Modelling and Biomechanics of the Brain SIAM PUBLICATIONS 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA.
2019
Layton, A. T., & Layton, H. E. (2019). A computational model of epithelial solute and water transport along a human nephron PLoS Computational Biology, 15, e1006108.
Ahmed, S., Hu, R., Leete, J., & Layton, A. T. (2019). Understanding sex differences in long-term blood pressure regulation: insights from experimental studies and computational modeling American Journal of Physiology-Heart and Circulatory Physiology, 316, H1113\textendashH1123.
Layton, A. T. (2019). Recent advances in renal epithelial transport American Journal of Physiology-Renal Physiology, 316, F274\textendashF276.
Akhter, T., & Layton, A. (2019). Impact of shifting epithelial Na+ transport on renal medullary oxygen tension: Modeling and analysis The FASEB Journal, 33, 748\textendash1.
Leete, J., Ahmed, S., Hernandez, F. J. L., & Layton, A. (2019). Determining Risk Factors for Triple Whammy AKI using Computational Models of Long-Term Blood Pressure Regulation The FASEB Journal, 33, 758\textendash5.
Layton, A. T., & Sullivan, J. C. (2019). Recent advances in sex differences in kidney function American Journal of Physiology-Renal Physiology, 316, F328\textendashF331.
Ahmed, S., Hu, R., Leete, J., & Layton, A. T. (2019). Integrative Cardiovascular Physiology and Pathophysiology: Understanding sex differences in long-term blood pressure regulation: insights from experimental studies and computational modeling American Journal of Physiology-Heart and Circulatory Physiology, 316, H1113.
Guidoboni, G., Bonifazi, G., Sacco, R., Layton, A., Olson, S. D., Hallare, M. C. B., … Harris, A. (2019). Electrochemical characterization of ciliary epithelium physiology: a theoretical approach Investigative Ophthalmology \& Visual Science, 60, 3202\textendash3202.
Ahmed, S., Leete, J., Hernandez, F. L., & Layton, A. (2019). Sex-specific Computational Models for Blood Pressure Regulation in the Rat The FASEB Journal, 33, 758\textendash6.
Layton, A. T. (2019). Multiscale models of kidney function and diseases Current Opinion in Biomedical Engineering, 11, 1\textendash8.
Hu, R., McDonough, A. A., & Layton, A. (2019). Functional Implications of Sexual Dimorphism of Transporter Patterns along the Rat Nephron The FASEB Journal, 33, 864\textendash1.
Leete, J., & Layton, A. T. (2019). Sex-specific long-term blood pressure regulation: Modeling and analysis Computers in Biology and Medicine, 104, 139\textendash148.
Sadria, M., Karimi, S., & Layton, A. T. (2019). Network centrality analysis of eye-gaze data in autism spectrum disorder Computers in Biology and Medicine, 111, 103332.
Hu, R., McDonough, A. A., & Layton, A. T. (2019). Functional implications of the sex differences in transporter abundance along the rat nephron: modeling and analysis American Journal of Physiology-Renal Physiology, 317, F1462\textendashF1474.
Layton, A. T. (2019). Solute and water transport along an inner medullary collecting duct undergoing peristaltic contractions American Journal of Physiology-Renal Physiology, 317, F735\textendashF742.
Layton, A. T. (2019). Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases Biological Cybernetics, 113, 139\textendash148.
Fattah, H., Layton, A., & Vallon, V. (2019). How do kidneys adapt to a deficit or loss in nephron number? Physiology, 34, 189\textendash197.
2018
Layton, A. T., Edwards, A. elie, & Vallon, V. (2018). Renal potassium handling in rats with subtotal nephrectomy: modeling and analysis American Journal of Physiology-Renal Physiology, 314, F643\textendashF657.
Leete, J., & Layton, A. (2018). His and Her Computational Models of Long-term Blood Pressure Regulation The FASEB Journal, 32, 714\textendash5.
Layton, A. T., & Vallon, V. (2018). Renal tubular solute transport and oxygen consumption: insights from computational models Current Opinion in Nephrology and Hypertension, 27, 384\textendash389.
Ciocanel, M., Jung, P., Brown, A., Panaggio, M., Lazarus, L., Topaz, C., … others. (2018). Maria-Veronica Ciocanel Dynamical Systems, 17, 2855\textendash2881.
Layton, A. T., & Vallon, V. (2018). SGLT2 inhibition in a kidney with reduced nephron number: modeling and analysis of solute transport and metabolism American Journal of Physiology-Renal Physiology, 314, F969\textendashF984.
Leete, J., Gurley, S., & Layton, A. T. (2018). Modeling sex differences in the renin angiotensin system and the efficacy of antihypertensive therapies Computers \& Chemical Engineering, 112, 253\textendash264.
Layton, A. T., & Vallon, V. (2018). Cardiovascular benefits of SGLT2 inhibition in diabetes and chronic kidney diseases Acta Physiologica (Oxford, England), 222, e13050.
Layton, A. T. (2018). Sweet success? SGLT2 inhibitors and diabetes American Journal of Physiology-Renal Physiology, 314, F1034\textendashF1035.
Ciocanel, M.-V., Stepien, T. L., Sgouralis, I., & Layton, A. T. (2018). A multicellular vascular model of the renal myogenic response Processes, 6, 89.
Li, Q., McDonough, A. A., Layton, H. E., & Layton, A. T. (2018). Functional implications of sexual dimorphism of transporter patterns along the rat proximal tubule: modeling and analysis American Journal of Physiology-Renal Physiology, 315, F692\textendashF700.
Wei, N., & Layton, A. T. (2018). Theoretical assessment of the Ca 2+ oscillations in the afferent arteriole smooth muscle cell of the rat kidney International Journal of Biomathematics, 11, 1850043.
Wei, N., Gumz, M. L., & Layton, A. T. (2018). Predicted effect of circadian clock modulation of NHE3 of a proximal tubule cell on sodium transport American Journal of Physiology-Renal Physiology, 315, F665\textendashF676.
Layton, A. T. (2018). Handbook of Numerical Methods for Hy-perbolic Problems: Basic and Fundamen SIAM Review Vol. 60, Issue 3 (September 2018), 60, 768.
2017
Chen, Y., Sullivan, J. C., Edwards, A. elie, & Layton, A. T. (2017). Sex-specific computational models of the spontaneously hypertensive rat kidneys: factors affecting nitric oxide bioavailability American Journal of Physiology-Renal Physiology, 313, F174\textendashF183.
Sgouralis, I., & Layton, A. T. (2017). Modeling blood flow and oxygenation in a diabetic rat kidney 101\textendash113. Springer International Publishing.
Edwards, A. elie, & Layton, A. T. (2017). Cell volume regulation in the proximal tubule of rat kidney: proximal tubule cell volume regulation Bulletin of Mathematical Biology, 79, 2512\textendash2533.
Layton, A. T. (2017). Tracking the Distribution of a Solute Bolus in the Rat Kidney 115\textendash136. Springer International Publishing.
Chen, Y., Fry, B. C., & Layton, A. T. (2017). Modeling glucose metabolism and lactate production in the kidney Mathematical Biosciences, 289, 116\textendash129.
Jiang, T., Li, Y., Layton, A. T., Wang, W., Sun, Y., Li, M., … Yang, B. (2017). Generation and phenotypic analysis of mice lacking all urea transporters Kidney International, 91, 338\textendash351.
Layton, A., Pannabecker, T., Dantzler, W., & Layton, H. (2017). Two modes for concentrating urine in rat inner medulla (vol 287, pg F816, 2004) AMERICAN JOURNAL OF PHYSIOLOGY-RENAL PHYSIOLOGY, 313, F1178\textendashF1178.
Layton, A., Edwards, A. elie, & Vallon, V. (2017). Modeling the Effects of Functional Adaptation to Reduction in Renal Mass The FASEB Journal, 31, 716\textendash2.
Burt, T., Noveck, R., MacLeod, D., Layton, A., Rowland, M., & Lappin, G. (2017). 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, 10, 337.
Layton, A. T., & Miller, L. A. (2017). Women in mathematical biology: research collaboration workshop, Nimbios, Knoxville, June 2015 Springer.
Layton, A. T. (2017). A new microscope for the kidney: mathematics American Journal of Physiology-Renal Physiology, 312, F671\textendashF672.
Layton, A. T., & Edwards, A. elie. (2017). Introduction to Mathematical Modeling of Blood Flow Control in the Kidney 63\textendash73. Springer International Publishing.
Layton, A. T., Edwards, A. elie, & Vallon, V. (2017). Adaptive changes in GFR, tubular morphology, and transport in subtotal nephrectomized kidneys: modeling and analysis American Journal of Physiology-Renal Physiology, 313, F199\textendashF209.
Sgouralis, I., Evans, R. G., & Layton, A. T. (2017). Renal medullary and urinary oxygen tension during cardiopulmonary bypass in the rat Mathematical Medicine and Biology: A Journal of the IMA, 34, 313\textendash333.
Ciocanel, M.-V., Stepien, T. L., Edwards, A. elie, & Layton, A. T. (2017). Modeling autoregulation of the afferent arteriole of the rat kidney 75\textendash100. Springer International Publishing.
Layton, A., Pannabecker, T., Dantzler, W., & Layton, H. (2017). Archive of all online content American Journal of Physiology-Renal Physiology, 313, F1178\textendashF1178.
2016
Layton, A. T. (2016). Recent advances in renal hypoxia: Insights from bench experiments and computer simulations American Journal of Physiology-Renal Physiology, 311, F162\textendashF165.
Fry, B. C., Edwards, A. elie, & Layton, A. T. (2016). Impact of nitric-oxide-mediated vasodilation and oxidative stress on renal medullary oxygenation: a modeling study American Journal of Physiology-Renal Physiology, 310, F237\textendashF247.
Sgouralis, I., & Layton, A. T. (2016). Conduction of feedback-mediated signal in a computational model of coupled nephrons Mathematical Medicine and Biology: A Journal of the IMA, 33, 87\textendash106.
Chen, Y., Edwards, A. elie, Sullivan, J., & Layton, A. (2016). Sex Differences in Hypertension: A Modeling Study The FASEB Journal, 30, 959\textendash1.
Sgouralis, I., & Layton, A. (2016). Internephron Coupling Increases the Efficiency of Dynamic Autoregulation The FASEB Journal, 30, 739\textendash6.
Xie, L., Layton, A. T., Wang, N., Larson, P. E., Zhang, J. L., Lee, V. S., … Johnson, A. (2016). Dynamic contrast-enhanced quantitative susceptibility mapping with ultrashort echo time MRI for evaluating renal function American Journal of Physiology-Renal Physiology, 310, F174\textendashF182.
Layton, A. T., Laghmani, K., Vallon, V., & Edwards, A. elie. (2016). Solute transport and oxygen consumption along the nephrons: effects of Na+ transport inhibitors American Journal of Physiology-Renal Physiology, 311, F1217\textendashF1229.
Chen, Y., Fry, B. C., & Layton, A. T. (2016). Modeling glucose metabolism in the kidney Bulletin of Mathematical Biology, 78, 1318\textendash1336.
Layton, A., Vallon, V., & Edwards, A. elie. (2016). Effect of SGLT Inhibition on Medullary Oxygen Consumption: A Multi-Nephron Model of the Rat Kidney The FASEB Journal, 30, 740\textendash2.
Sgouralis, I., Maroulas, V., & Layton, A. T. (2016). Transfer function analysis of dynamic blood flow control in the rat kidney Bulletin of Mathematical Biology, 78, 923\textendash960.
Liu, R., & Layton, A. T. (2016). Modeling the effects of positive and negative feedback in kidney blood flow control Mathematical Biosciences, 276, 8\textendash18.
Nganguia, H., Young, Y.-N., Layton, A., Lai, M.-C., & Hu, W.-F. (2016). Electrohydrodynamics of a viscous drop with inertia Physical Review E, 93, 053114.
Sgouralis, I., Kett, M. M., Ow, C. P., Abdelkader, A., Layton, A. T., Gardiner, B. S., … Evans, R. G. (2016). Bladder urine oxygen tension for assessing renal medullary oxygenation in rabbits: experimental and modeling studies American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, 311, R532\textendashR544.
Layton, A. T., Vallon, V., & Edwards, A. elie. (2016). Predicted consequences of diabetes and SGLT inhibition on transport and oxygen consumption along a rat nephron American Journal of Physiology-Renal Physiology, 310, F1269\textendashF1283.
Herschlag, G., Liu, J.-G., & Layton, A. (2016). Fluid extraction across pumping and permeable walls in the viscous limit Physics of Fluids, 28.
Layton, A. T., Vallon, V., & Edwards, A. elie. (2016). A computational model for simulating solute transport and oxygen consumption along the nephrons American Journal of Physiology-Renal Physiology, 311, F1378\textendashF1390.
2015
Arciero, J., Ellwein, L., Versypt, A. N. F., Makrides, E., & Layton, A. T. (2015). Modeling blood flow control in the kidney 55\textendash73. Springer New York.
Fry, B. C., Edwards, A. elie, & Layton, A. T. (2015). Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration American Journal of Physiology-Renal Physiology, 308, F967\textendashF980.
Sgouralis, I., Evans, R. G., Gardiner, B. S., Smith, J. A., Fry, B. C., & Layton, A. T. (2015). Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: a modeling study Physiological Reports, 3, e12260.
Layton, A. T., Vallon, V., & Edwards, A. elie. (2015). Modeling oxygen consumption in the proximal tubule: effects of NHE and SGLT2 inhibition American Journal of Physiology-Renal Physiology, 308, F1343\textendashF1357.
Baird, A., Braam, B., & Layton, A. (2015). Implications of Increased Renal Venous Pressure for Renal Hemodynamic and Reabsorptive Function Studied by a Mathematical Model of the Kidney The FASEB Journal, 29, 808\textendash19.
Edwards, A. elie, Vallon, V., & Layton, A. (2015). SGLT2 Inhibition Is Predicted to Increase NaCl Delivery to the Medullary Thick Ascending Limb But Not to Significantly Elevate Its Oxygen Consumption The FASEB Journal, 29, 959\textendash3.
Fry, B., Edwards, A. elie, & Layton, A. (2015). Nitric Oxide and Superoxide Significantly Affect Medullary Oxygenation and Urinary Output The FASEB Journal, 29, 963\textendash1.
Burt, T., Rouse, D. C., Lee, K., Wu, H., Layton, A. T., Hawk, T. C., … others. (2015). Intraarterial microdosing: a novel drug development approach, proof-of-concept PET study in rats Journal of Nuclear Medicine, 56, 1793\textendash1799.
Versypt, A. N. F., Makrides, E., Arciero, J. C., Ellwein, L., & Layton, A. T. (2015). Bifurcation study of blood flow control in the kidney Mathematical Biosciences, 263, 169\textendash179.
Sgouralis, I., Evans, R., Gardiner, B., & Layton, A. (2015). Urinary PO2 as a biomarker for medullary hypoxia The FASEB Journal, 29, 963\textendash6.
Herschlag, G., Liu, J.-G., & Layton, A. T. (2015). Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit ArXiv Preprint ArXiv:1511.01469.
Burt, T., Wu, H., Layton, A., Rouse, D., Chin, B., Hawk, T., … Noveck, R. (2015). Intra-arterial microdosing (IAM), a novel drug development approach, proof of concept in rats Clinical Therapeutics, 37, e40\textendashe41.
Herschlag, G., Liu, J.-G., & Layton, A. T. (2015). An exact solution for stokes flow in a channel with arbitrarily large wall permeability SIAM Journal on Applied Mathematics, 75, 2246\textendash2267.
Layton, A. T., & Edwards, A. elie. (2015). Predicted effects of nitric oxide and superoxide on the vasoactivity of the afferent arteriole American Journal of Physiology-Renal Physiology, 309, F708\textendashF719.
Sgouralis, I., & Layton, A. T. (2015). Mathematical modeling of renal hemodynamics in physiology and pathophysiology Mathematical Biosciences, 264, 8\textendash20.
Nganguia, H., Young, Y.-N., Layton, A., Hu, W.-F., & Lai, M.-C. (2015). An immersed interface method for axisymmetric electrohydrodynamic simulations in Stokes flow Communications in Computational Physics, 18, 429\textendash449.
Layton, A. T. (2015). Recent advances in renal hemodynamics: insights from bench experiments and computer simulations American Journal of Physiology-Renal Physiology, 308, F951\textendashF955.
2014
Herschlag, G., Liu, J.-G., & Layton, A. (2014). An exact solution for Stokes flow in an infinite channel with permeable walls D15\textendash006.
Sgouralis, I., & Layton, A. T. (2014). Theoretical assessment of renal autoregulatory mechanisms American Journal of Physiology-Renal Physiology, 306, F1357\textendashF1371.
Sgouralis, I., Evans, R., Gardiner, B., & Layton, A. (2014). Contribution of hemodilution to renal hypoxia following cardiopulmonary bypass surgery (890.12) The FASEB Journal, 28, 890\textendash12.
Fry, B. C., & Layton, A. T. (2014). Oxygen transport in a cross section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels Mathematical Biosciences, 258, 68\textendash76.
Moss, R., & Layton, A. (2014). Impacts of UT-A2 inhibition on urine composition: a mathematical model (1137.8) The FASEB Journal, 28, 1137\textendash8.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Vasomotion and Myogenic Response of the Afferent Arteriole Mathematical Modeling in Renal Physiology, 141\textendash154.
Ryu, H., & Layton, A. T. (2014). Feedback-mediated dynamics in a model of coupled nephrons with compliant short loop of Henle Biological Fluid Dynamics: Modeling, Computations, and Applications, 628, 209.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Transport across tubular epithelia Mathematical Modeling in Renal Physiology, 155\textendash183.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Counter-Current Exchange Across Vasa Recta Mathematical Modeling in Renal Physiology, 63\textendash83.
Olson, S. D., & Layton, A. T. (2014). Simulating biofluid-structure interactions with an immersed boundary framework\textendasha review Biological Fluid Dynamics: Modeling, Computations, and Applications, 628, 1.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Introduction: Basics of Kidney Physiology Mathematical Modeling in Renal Physiology, 1\textendash5.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Glomerular Filtration Mathematical Modeling in Renal Physiology, 7\textendash41.
Ryu, H., & Layton, A. T. (2014). Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney Journal of Mathematical Biology, 68, 1023\textendash1049.
Moss, R., & Layton, A. T. (2014). Dominant factors that govern pressure natriuresis in diuresis and antidiuresis: a mathematical model American Journal of Physiology-Renal Physiology, 306, F952\textendashF969.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Solutions to Problem Sets Mathematical Modeling in Renal Physiology, 185\textendash218.
Layton, A. T., & Olson, S. D. (2014). Biological Fluid Dynamics: Modeling, Computations, and Applications American Mathematical Society.
Layton, A. T., & Edwards, A. elie. (2014). Mathematical modeling in renal physiology Springer Berlin.
Nganguia, H., Young, Y.-N., Layton, A., Hu, W.-F., & Lai, M.-C. (2014). Immersed Interface Method for Drop Electrohydrodynamic H13\textendash006.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Tubuloglomerular Feedback Mathematical Modeling in Renal Physiology, 85\textendash106.
Edwards, A. elie, Castrop, H., Laghmani, K., Vallon, V., & Layton, A. T. (2014). 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\textendashF146.
Fry, B., & Layton, A. (2014). Structural organization of the renal medulla has a significant impact on oxygen distribution (890.11) The FASEB Journal, 28, 890\textendash11.
Edwards, A. elie, & Layton, A. T. (2014). Calcium dynamics underlying the myogenic response of the renal afferent arteriole American Journal of Physiology-Renal Physiology, 306, F34\textendashF48.
Layton, A. T. (2014). Mathematical modeling of urea transport in the kidney Urea Transporters, 31\textendash43.
Fry, B. C., Edwards, A. elie, Sgouralis, I., & Layton, A. T. (2014). Impact of renal medullary three-dimensional architecture on oxygen transport American Journal of Physiology-Renal Physiology, 307, F263\textendashF272.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Urine Concentration Mathematical Modeling in Renal Physiology, 43\textendash61.
Layton, A. T., Edwards, A. elie, Layton, A. T., & Edwards, A. elie. (2014). Electrophysiology of Renal Vascular Smooth Muscle Cells Mathematical Modeling in Renal Physiology, 107\textendash140.
Pannabecker, T. L., & Layton, A. T. (2014). Targeted delivery of solutes and oxygen in the renal medulla: role of microvessel architecture American Journal of Physiology-Renal Physiology, 307, F649\textendashF655.
Li, Y., Sgouralis, I., & Layton, A. T. (2014). Computing viscous flow in an elastic tube Numerical Mathematics: Theory, Methods and Applications, 7, 555\textendash574.
Olson, S. D., Layton, A., & Olson, S. (2014). Motion of filaments with planar and helical bending waves in a viscous fluid Biological Fluid Dynamics: Modeling, Computation, and Applications, AMS Contemp. Math. Series, Layton A, Olson S (eds). AMS: Providence, RI, 109\textendash128.
Layton, A. T. (2014). Impacts of Facilitated Urea Transporters on the Urine-Concentrating Mechanism in the Rat Kidney Biological Fluid Dynamics: Modeling, Computations, and Applications, 628, 191.
Dantzler, W. H., Layton, A. T., Layton, H. E., & Pannabecker, T. L. (2014). 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.
2013
Moss, R., & Layton, A. (2013). Modeling the effects of medullary blood flow regulation on pressure natriuresis The Federation of American Societies for Experimental Biology.
Ryu, H., & Layton, A. T. (2013). 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\textendash212.
Sgouralis, I., & Layton, A. (2013). Nephrovascular interactions in a mathematical model of rat renal autoregulation The Federation of American Societies for Experimental Biology.
alez, A. N.-G., Clausen, C., Marcano, M., Layton, A. T., Layton, H. E., & Moore, L. C. (2013). 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\textendashF652.
Leiderman, K., Bouzarth, E. L., Cortez, R., & Layton, A. T. (2013). A regularization method for the numerical solution of periodic Stokes flow Journal of Computational Physics, 236, 187\textendash202.
Li, Y., Williams, S. A., & Layton, A. T. (2013). A hybrid immersed interface method for driven Stokes flow in an elastic tube Numerical Mathematics: Theory, Methods and Applications, 6, 600\textendash616.
alez, A. N.-G., Clausen, C., Layton, A. T., Layton, H. E., & Moore, L. C. (2013). Transport efficiency and workload distribution in a mathematical model of the thick ascending limb American Journal of Physiology-Renal Physiology, 304, F653\textendashF664.
Layton, A. T., & Bankir, L. (2013). Impacts of active urea secretion into pars recta on urine concentration and urea excretion rate Physiological Reports, 1.
Sgouralis, I., & Layton, A. T. (2013). Control and modulation of fluid flow in the rat kidney Bulletin of Mathematical Biology, 75, 2551\textendash2574.
Layton, A. T. (2013). Mathematical modeling of kidney transport Wiley Interdisciplinary Reviews: Systems Biology and Medicine, 5, 557\textendash573.
Haer-Wigman, L., Linthorst, G., Sands, J., Klein, J., Thai, T., Verhoeven, A., … others. (2013). DUPLICATION OF THE UREA TRANSPORTER B GENE (KIDD BLOOD GROUP) IN A KINDRED WITH FAMILIAL AZOTEMIA 105, 30\textendash31. WILEY-BLACKWELL 111 RIVER ST, HOBOKEN 07030-5774, NJ USA.
2012
Gilbert, R. L., Pannabecker, T. L., & Layton, A. T. (2012). Role of interstitial nodal spaces in the urine concentrating mechanism of the rat kidney Federation of American Societies for Experimental Biology.
Savage, N. S., Layton, A. T., & Lew, D. J. (2012). Mechanistic mathematical model of polarity in yeast Molecular Biology of the Cell, 23, 1998\textendash2013.
Ryu, H., Layton, A., Tubuloglomerular, D. N. D. M. by, & others. (2012). HWAYEON RYU Biomed Eng, 28, 369\textendash380.
Pannabecker, T. L., Dantzler, W. H., & Layton, A. T. (2012). Urine Concentrating Mechanism: Impact of Vascular and Tubular Architecture and a Proposed Descending Limb Urea-Na Cotransporter Federation of American Societies for Experimental Biology.
Layton, A. T., Pham, P., & Ryu, H. (2012). Signal transduction in a compliant short loop of Henle International Journal for Numerical Methods in Biomedical Engineering, 28, 369\textendash383.
Layton, A. T. (2012). Modeling transport and flow regulatory mechanisms of the kidney International Scholarly Research Notices, 2012.
Edwards, A. elie, & Layton, A. T. (2012). Impact of nitric oxide-mediated vasodilation on outer medullary NaCl transport and oxygenation American Journal of Physiology-Renal Physiology, 303, F907\textendashF917.
Layton, A. T. (2012). A velocity decomposition approach for solving the immersed interface problem with Dirichlet boundary conditions Springer New York New York, NY.
Layton, A. T., Moore, L. C., & Layton, H. E. (2012). Signal transduction in a compliant thick ascending limb American Journal of Physiology-Renal Physiology, 302, F1188\textendashF1202.
Hou, G., Wang, J., & Layton, A. (2012). Numerical methods for fluid-structure interaction\textemdasha review Communications in Computational Physics, 12, 337\textendash377.
Sgouralis, I., & Layton, A. T. (2012). Interactions between Tubuloglomerular Feedback and the Myogenic Mechanism of the Afferent Arteriole Federation of American Societies for Experimental Biology.
Layton, A., Stockie, J., Li, Z., & Huang, H. (2012). Special Issue on Fluid Motion Driven by Immersed Structures Preface GLOBAL SCIENCE PRESS ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG \textellipsis.
Layton, A. T., & Beale, T. (2012). A partially implicit hybrid method for computing interface motion in Stokes flow Discrete Contin. Dyn. Syst. Ser. B, 27, 1139\textendash1153.
Layton, A. T., & Wei, G. (2012). Interface methods for biological and biomedical problems John Wiley \& Sons, Ltd Chichester, UK.
Li, Y., & Layton, A. T. (2012). Accurate computation of Stokes flow driven by an open immersed interface Journal of Computational Physics, 231, 5195\textendash5215.
Ryu, H., & Layton, A. T. (2012). Tubular Fluid Oscillations Mediated by Tubuloglomerular Feedback in a Short Loop of Henle Federation of American Societies for Experimental Biology.
Witelski, T. P., Ambrose, D. M., Bertozzi, A., Layton, A. T., Li, Z., & Minion, M. L. (2012). PREFACE: SPECIAL ISSUE ON FLUID DYNAMICS, ANALYSIS AND NUMERICS AMER INST MATHEMATICAL SCIENCES PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA.
Layton, A. T., Gilbert, R. L., & Pannabecker, T. L. (2012). 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\textendashF839.
Sgouralis, I., & Layton, A. T. (2012). Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole American Journal of Physiology-Renal Physiology, 303, F229\textendashF239.
Layton, A. T., Dantzler, W. H., & Pannabecker, T. L. (2012). 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\textendashF605.
2011
Pannabecker, T. L., & Layton, A. T. (2011). Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing Federation of American Societies for Experimental Biology.
Edwards, A. elie, & Layton, A. T. (2011). Modulation of outer medullary NaCl transport and oxygenation by nitric oxide and superoxide American Journal of Physiology-Renal Physiology, 301, F979\textendashF996.
Chen, J., Sgouralis, I., Moore, L. C., Layton, H. E., & Layton, A. T. (2011). A mathematical model of the myogenic response to systolic pressure in the afferent arteriole American Journal of Physiology-Renal Physiology, 300, F669\textendashF681.
Layton, A. T., & Layton, H. E. (2011). 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\textendashF1056.
Layton, A. T., Sgouralis, I., Layton, H., & Moore, L. (2011). Propagation of vasoconstrictive responses in a mathematical model of the rat afferent arteriole Federation of American Societies for Experimental Biology.
Layton, A. T. (2011). 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\textendashF371.
alez, A. N.-G., Clausen, C., Layton, H. E., Layton, A. T., & Moore, L. C. (2011). Dynamical Properties of the Thick Ascending Limb (TAL): A Modeling Study Federation of American Societies for Experimental Biology.
Lei, T., Zhou, L., Layton, A. T., Zhou, H., Zhao, X., Bankir, L., & Yang, B. (2011). Role of thin descending limb urea transport in renal urea handling and the urine concentrating mechanism American Journal of Physiology-Renal Physiology, 301, F1251\textendashF1259.
Layton, A. T. (2011). 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\textendashF384.
alez, A. N.-G., Clausen, C., Marcano, M., Layton, H. E., Layton, A. T., & Moore, L. C. (2011). Efficiency of sodium transport in a model of the Thick Ascending Limb (TAL) Federation of American Societies for Experimental Biology.
Layton, A. T. (2011). Role of UTB Urea Transporters in the Urine Concentrating Mechanism of the Rat Kidney Federation of American Societies for Experimental Biology.
Bouzarth, E. L., Layton, A. T., & Young, Y.-N. (2011). Modeling a semi-flexible filament in cellular Stokes flow using regularized Stokeslets International Journal for Numerical Methods in Biomedical Engineering, 27, 2021\textendash2034.
Layton, A. T., Bowen, M., Wen, A., & Layton, H. E. (2011). Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs Mathematical Biosciences, 230, 115\textendash127.
Dantzler, W., Pannabecker, T., Layton, A., & Layton, H. (2011). Urine concentrating mechanism in the inner medulla of the mammalian kidney: role of three-dimensional architecture Acta Physiologica, 202, 361\textendash378.
Layton, A. T., Savage, N. S., Howell, A. S., Carroll, S. Y., Drubin, D. G., & Lew, D. J. (2011). Modeling vesicle traffic reveals unexpected consequences for Cdc42p-mediated polarity establishment Current Biology, 21, 184\textendash194.
2010
Chen, J., Edwards, A. elie, & Layton, A. T. (2010). 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\textendashF1383.
Loreto, M., & Layton, A. T. (2010). An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney Mathematical Biosciences, 223, 66\textendash78.
Layton, H. E., Chen, J., Moore, L. C., & Layton, A. T. (2010). A mathematical model of the afferent arteriolar smooth muscle cell The FASEB Journal, 24, 1059\textendash27.
alez, A. N.-G., Moore, L. C., Clausen, C., Marcano, M., Layton, H. E., & Layton, A. T. (2010). Efficiency of sodium transport in the thick ascending limb Federation of American Societies for Experimental Biology.
Layton, A. T., & Edwards, A. elie. (2010). Tubuloglomerular feedback signal transduction in a short loop of Henle Bulletin of Mathematical Biology, 72, 34\textendash62.
Marcano, M., Layton, A. T., & Layton, H. E. (2010). Maximum urine concentrating capability in a mathematical model of the inner medulla of the rat kidney Bulletin of Mathematical Biology, 72, 314\textendash339.
Hallen, M. A., & Layton, A. T. (2010). Expanding the scope of quantitative FRAP analysis Journal of Theoretical Biology, 262, 295\textendash305.
Wang, J., & Layton, A. (2010). New numerical methods for Burgers\textquoteright equation based on semi-Lagrangian and modified equation approaches Applied Numerical Mathematics, 60, 645\textendash657.
Layton, A. T. (2010). Feedback-mediated dynamics in a model of a compliant thick ascending limb Mathematical Biosciences, 228, 185\textendash194.
Edwards, A. elie, & Layton, A. T. (2010). 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\textendashF647.
Layton, A. T., Pannabecker, T. L., Dantzler, W. H., & Layton, H. E. (2010). Functional implications of the three-dimensional architecture of the rat renal inner medulla American Journal of Physiology-Renal Physiology, 298, F973\textendashF987.
Edwards, A. elie, & Layton, A. T. (2010). 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\textendashF633.
Layton, A. T., Pannabecker, T. L., Dantzler, W. H., & Layton, H. E. (2010). Hyperfiltration and inner stripe hypertrophy may explain findings by Gamble and coworkers American Journal of Physiology-Renal Physiology, 298, F962\textendashF972.
2009
Layton, A. T., Toyama, Y., Yang, G.-Q., Edwards, G. S., Kiehart, D. P., & Venakides, S. (2009). Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure HFSP Journal, 3, 441\textendash460.
Beale, T., & Layton, A. T. (2009). A velocity decomposition approach for moving interfaces in viscous fluids Journal of Computational Physics, 228, 3358\textendash3367.
Chen, J., Edwards, A. elie, & Layton, A. T. (2009). 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\textendashF548.
Layton, A. T. (2009). On the efficiency of spectral deferred correction methods for time-dependent partial differential equations Applied Numerical Mathematics, 59, 1629\textendash1643.
Layton, A. T., Moore, L. C., & Layton, H. E. (2009). Waveform distortion in TGF-mediated limit-cycle oscillations: Effects of TAL flow The FASEB Journal, 23, 804\textendash14.
Layton, A. T., Moore, L. C., & Layton, H. E. (2009). Multistable dynamics mediated by tubuloglomerular feedback in a model of coupled nephrons Bulletin of Mathematical Biology, 71, 515\textendash555.
Edwards, A. elie, Chen, J., & Layton, A. T. (2009). Impact of Rat Outer Medullary Architecture on Oxygen Distribution The FASEB Journal, 23, 970\textendash12.
Wang, J., & Layton, A. (2009). Numerical simulations of fiber sedimentation in Navier-Stokes flows Communications in Computational Physics, 5, 61.
Robel, A., & Layton, A. (2009). The Lorenz Model
Layton, A. T., Toyama, Y., Yang, G.-Q., Edwards, G. S., Kiehart, D. P., & Venakides, S. (2009). of dorsal closure Drosophila morphogenesis: tissue force laws and the modeling This article describes a second generation mathematical model to investigate the forces that account for the dynamics of dorsal closure, a stage of Drosophila development which HFSP Journal, 441.
Layton, A. T., Layton, H. E., Dantzler, W. H., & Pannabecker, T. L. (2009). The mammalian urine concentrating mechanism: hypotheses and uncertainties Physiology, 24, 250\textendash256.
Layton, A. T. (2009). Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces Computers \& Fluids, 38, 266\textendash272.
Chen, J., Layton, A. T., & Edwards, A. elie. (2009). 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\textendashF536.
2008
Pannabecker, T. L., Dantzler, W. H., Layton, H. E., & Layton, A. T. (2008). Role of three-dimensional architecture in the urine concentrating mechanism of the rat renal inner medulla American Journal of Physiology-Renal Physiology, 295, F1271\textendashF1285.
Pannabecker, T. L., Dantzler, W. H., Layton, A. T., & Layton, H. E. (2008). Three-dimensional reconstructions of rat renal inner medulla suggest two anatomically separated countercurrent mechanisms for urine concentration Federation of American Societies for Experimental Biology.
Layton, H. E., Moore, L. C., & Layton, A. T. (2008). Tubuloglomerular feedback signal transduction in a model of a compliant thick ascending limb Federation of American Societies for Experimental Biology.
Layton, A. T. (2008). On the choice of correctors for semi-implicit Picard deferred correction methods Applied Numerical Mathematics, 58, 845\textendash858.
Layton, A. T. (2008). An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary Computer Methods in Applied Mechanics and Engineering, 197, 2147\textendash2155.
2007
Beale, T., & Layton, A. (2007). On the accuracy of finite difference methods for elliptic problems with interfaces Communications in Applied Mathematics and Computational Science, 1, 91\textendash119.
Layton, A., & Minion, M. (2007). Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods Communications in Applied Mathematics and Computational Science, 2, 1\textendash34.
Marcano, M., Layton, A. T., & Layton, H. E. (2007). Maximum Urine Concentrating Capability for Transport Parameters and Urine Flow within Prescribed Ranges The Federation of American Societies for Experimental Biology.
Layton, H. E., Layton, A. T., & Moore, L. C. (2007). A mechanism for the generation of harmonics in oscillations mediated by tubuloglomerular feedback The Federation of American Societies for Experimental Biology.
Layton, A. T. (2007). Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney Bulletin of Mathematical Biology, 69, 887\textendash929.
2006
Layton, A. T., Christara, C., & Jackson, K. (2006). Quadratic spline Galerkin method for the shallow water equations on the sphere Math. Comput. Simulat, 71, 175\textendash186.
Moore, L. C., Siu, K. L., Layton, A. T., Layton, H. E., & Chon, K. H. (2006). Evidence for Multi-Stability of the Tubuloglomerular Feedback System in Spontaneously-Hypertensive Rats (SHR) Federation of American Societies for Experimental Biology.
Layton, A. T., Christara, C. C., & Jackson, K. R. (2006). Quadratic spline methods for the shallow water equations on the sphere: Collocation Mathematics and Computers in Simulation, 71, 187\textendash205.
Layton, A. T. (2006). An explicit jump method for the two-fluid stokes equations with an immersed elastic boundary Elsevier Science.
Layton, A. T., Christara, C. C., & Jackson, K. R. (2006). Quadratic spline methods for the shallow water equations on the sphere: Galerkin Mathematics and Computers in Simulation, 71, 175\textendash186.
Thomas, R., Layton, A. T., Layton, H. E., & Moore, L. C. (2006). Kidney modeling: Status and perspectives Proceedings of the IEEE, 94, 740\textendash752.
Layton, A. T. (2006). Modeling water transport across elastic boundaries using an explicit jump method SIAM Journal on Scientific Computing, 28, 2189\textendash2207.
Layton, A. T., Moore, L. C., & Layton, H. E. (2006). Dynamics in coupled nephrons may contribute to irregular flow oscillations in spontaneously hypertensive rats Federation of American Societies for Experimental Biology.
Marcano, M., Layton, A. T., & Layton, H. E. (2006). An optimization algorithm for a distributed-loop model of an avian urine concentrating mechanism Bulletin of Mathematical Biology, 68, 1625\textendash1660.
Marcano, M., Layton, A. T., & Layton, H. E. (2006). Estimation of Collecting Duct Parameters for Maximum Urine Concentrating Capability in a Mathematical Model of the Rat Inner Medulla Federation of American Societies for Experimental Biology.
2005
Layton, A. T. (2005). Role of structural organization in the urine concentrating mechanism of an avian kidney Mathematical Biosciences, 197, 211\textendash230.
Layton, A. T. (2005). A methodology for tracking solute distribution in a mathematical model of the kidney Journal of Biological Systems, 13, 399\textendash419.
Thomas, R., Layton, H. E., Layton, A. T., Harris, P., Lonie, A., & Moore, L. C. (2005). Towards a web resource for quantitative renal physiology 565, 98P.
Layton, A. T., Moore, L. C., & Layton, H. E. (2005). Multistability in tubuloglomerular feedback and spectral complexity in spontaneously hypertensive rats American Journal of Physiology-Renal Physiology.
Marcano, M., Layton, A., & Layton, H. (2005). An optimization algorithm for a model of the urine concentrating mechanism in rat inner medulla 19, A150\textendashA150. FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
Layton, A. T., & Layton, H. E. (2005). 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\textendashF1366.
Layton, A. T., & Minion, M. L. (2005). Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations BIT Numerical Mathematics, 45, 341\textendash373.
Layton, A. T., & Layton, H. E. (2005). 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\textendashF1381.
Layton, A., & Layton, H. (2005). A mathematical model of the urine concentrating mechanism of the inner medulla of the chinchilla kidney 19, A149\textendashA149. FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
2004
Layton, A. T., & Minion, M. L. (2004). Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics Journal of Computational Physics, 194, 697\textendash715.
Layton, A., Pannabecker, T., Dantzler, W., & Layton, H. (2004). Effects of structural organization on the urine concentrating mechanism of the rat kidney 18, A1021\textendashA1021. FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
Layton, A. T., Pannabecker, T. L., Dantzler, W. H., & Layton, H. E. (2004). Two modes for concentrating urine in rat inner medulla American Journal of Physiology-Renal Physiology, 287, F816\textendashF839.
2003
Chen, Y., Damasceno, J., Dance, S., Dellacherie, S., Evans, T., Fan, J., … others. (2003). Chauviere, C., 607 Chen, R.-C., 579 Chen, X., 557 Journal of Computational Physics, 189, 676.
Layton, A. T., & Layton, H. E. (2003). A region-based model framework for the rat urine concentrating mechanism Bulletin of Mathematical Biology, 65, 859\textendash901.
Layton, A. T., & Layton, H. E. (2003). An efficient numerical method for distributed-loop models of the urine concentrating mechanism Mathematical Biosciences, 181, 111\textendash132.
Layton, A. T. (2003). A semi-Lagrangian collocation method for the shallow water equations on the sphere SIAM Journal on Scientific Computing, 24, 1433\textendash1449.
Bourlioux, A., Layton, A. T., & Minion, M. L. (2003). High-order multi-implicit spectral deferred correction methods for problems of reactive flow Journal of Computational Physics, 189, 651\textendash675.
Layton, A. T., & Spotz, W. F. (2003). A semi-Lagrangian double Fourier method for the shallow water equations on the sphere Journal of Computational Physics, 189, 180\textendash196.
Layton, H., & Layton, A. (2003). Impaired countercurrent exchange in a mathematical model of a urine concentrating mechanism lacking UT-B urea transporter. 14, 76A\textendash76A. LIPPINCOTT WILLIAMS \& WILKINS 530 WALNUT ST, PHILADELPHIA, PA 19106-3621 USA.
Johnson, G., Gupta, K., Putz, D., Hu, Q., Brusseau, M., Richnow, H., … others. (2003). Longevity of granular iron in groundwater treatment processes: changes in solute transport properties over time PJ Vikesland, J. Klausen, H. Zimmermann, A. Lynn Roberts and WP Ball............... 3 The effect of local-scale physical heterogeneity and nonl Journal of Contaminant Hydrology, 64, 309\textendash310.
Layton, A., & Layton, H. (2003). A method for tracking solute distribution in mathematical models of the urine concentrating mechanism (UCM) 17, A485\textendashA485. FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
2002
Layton, A. T., & Layton, H. E. (2002). A numerical method for renal models that represent tubules with abrupt changes in membrane properties Journal of Mathematical Biology, 45, 549\textendash567.
Layton, A. T., & van de Panne, M. (2002). A numerically efficient and stable algorithm for animating water waves The Visual Computer, 18, 41\textendash53.
Layton, A. T., Christara, C. C., & Jackson, K. R. (2002). Optimal quadratic spline collocation methods for the shallow water equations on the sphere Submitted to Mathematics and Computers in Simulation.
Layton, A. T. (2002). Cubic spline collocation method for the shallow water equations on the sphere Journal of Computational Physics, 179, 578\textendash592.
Layton, A. T., & Layton, H. E. (2002). A semi-Lagrangian semi-implicit numerical method for models of the urine concentrating mechanism SIAM Journal on Scientific Computing, 23, 1526\textendash1548.
Layton, A., Moore, L., & Layton, H. (2002). Internephron coupling may contribute to emergence of irregular oscillations mediated by tubuloglomerular feedback. 13, 333A\textendash333A. LIPPINCOTT WILLIAMS \& WILKINS 530 WALNUT ST, PHILADELPHIA, PA 19106-3621 USA.
Layton, A., & Layton, H. (2002). A mathematical model of the urine concentrating mechanism in the outer medulla of the rat kidney 16, A51\textendashA51. FEDERATION AMER SOC EXP BIOL 9650 ROCKVILLE PIKE, BETHESDA, MD 20814-3998 USA.
2001
Modell, B., Khan, M., Darlison, M., King, A., Layton, M., Old, J., … Varnavides, L. (2001). A national register for surveillance of inherited disorders: beta thalassaemia in the United Kingdom Bulletin of the World Health Organization, 79, 1006\textendash1013.