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2009
Layton, A. T. , Layton, H. E. , Dantzler, W. H. , & Pannabecker, T. L. . (2009). The mammalian urine concentrating mechanism: hypotheses and uncertainties. Physiology, 24, 250–256. American Physiological Society.
Chen, J. , Layton, A. T. , & Edwards, A. . (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–F536. American Physiological Society.
Chen, J. , Edwards, A. , & 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–F548. American Physiological Society.
2010
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, 1059–27. Federation of American Societies for Experimental Biology.
Nieves-González, A. , 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.
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, 66–78. Elsevier.
Wang, J. , & Layton, A. . (2010). New numerical methods for Burgers' equation based on semi-Lagrangian and modified equation approaches. Applied numerical mathematics, 60, 645–657. North-Holland.
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, 314–339. Springer-Verlag.
Layton, A. T. , & Edwards, A. . (2010). Tubuloglomerular feedback signal transduction in a short loop of Henle. Bulletin of mathematical biology, 72, 34–62. Springer-Verlag.
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–F972. American Physiological Society Bethesda, MD.
Edwards, A. , & 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–F647. American Physiological Society Bethesda, MD.
Hallen, M. A. , & Layton, A. T. . (2010). Expanding the scope of quantitative FRAP analysis. Journal of Theoretical Biology, 262, 295–305. Academic Press.
Edwards, A. , & 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–F633. American Physiological Society Bethesda, MD.
Chen, J. , Edwards, A. , & 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–F1383. American Physiological Society Bethesda, MD.
Layton, A. T. . (2010). Feedback-mediated dynamics in a model of a compliant thick ascending limb. Mathematical biosciences, 228, 185–194. Elsevier.
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–F987. American Physiological Society Bethesda, MD.
2011
Dantzler, W. H. , Pannabecker, T. L. , Layton, A. T. , & Layton, H. E. . (2011). Urine concentrating mechanism in the inner medulla of the mammalian kidney: role of three-dimensional architecture. Acta physiologica, 202, 361–378. Blackwell Publishing Ltd Oxford, UK.
Nieves-González, A. , 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.
Pannabecker, T. L. , & Layton, A. T. . (2011). Isolated interstitial nodal spaces facilitate preferential solute and fluid mixing. Federation of American Societies for Experimental Biology.
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.

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