HOME /

Publications

Search
[ Author(Asc)] Title Type Year
X
Xie, L. , Layton, A. T. , Wang, N. , Larson, P. E. Z. , Zhang, J. L. , Lee, V. S. , Liu, C. , et al. (2016). Dynamic contrast-enhanced quantitative susceptibility mapping with ultrashort echo time MRI for evaluating renal function. American Journal of Physiology-Renal Physiology, 310, F174–F182. American Physiological Society Bethesda, MD.
W
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. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 17, I–II. AMER INST MATHEMATICAL SCIENCES PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA.
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. World Scientific Publishing Company.
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–F676. American Physiological Society Bethesda, MD.
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.
Wang, J. , & Layton, A. . (2009). Numerical simulations of fiber sedimentation in Navier-Stokes flows. Communications in Computational Physics, 5, 61.
V
Versypt, A. N. Ford, Makrides, E. , Arciero, J. C. , Ellwein, L. , & Layton, A. T. . (2015). Bifurcation study of blood flow control in the kidney. Mathematical biosciences, 263, 169–179. Elsevier.
T
S Thomas, R. , Layton, A. T. , Layton, H. E. , & Moore, L. C. . (2006). Kidney modeling: Status and perspectives. Proceedings of the IEEE, 94, 740–752. IEEE.
S Thomas, R. , Layton, H. E. , Layton, A. T. , Harris, P. , Lonie, A. , & Moore, L. C. . (2005). Towards a web resource for quantitative renal physiology. In Proceedings of the Physiological Society (Vol. 565, p. 98P).
S
Swapnasrita, S. , Carlier, A. , & Layton, A. T. . (2022). Sex-specific computational models of kidney function in patients with diabetes. Frontiers in physiology, 13, 14. Frontiers.
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. Academic Press.
Stadt, M. , Alexander, T. , & Layton, A. . (2023). Differential impacts of pregnancy and lactation on maternal calcium homeostasis: a mathematical modeling analysis. Physiology, 38, 5730988. American Physiological Society Rockville, MD.
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. Public Library of Science San Francisco, CA USA.
Stadt, M. Maria, & Layton, A. T. . (2022). Sex and species differences in epithelial transport in rat and mouse kidneys: Modeling and analysis. Frontiers in physiology, 13, 991705. Frontiers.
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. Public Library of Science San Francisco, CA USA.
Stadt, M. M. , & Layton, A. . (2022). From your kidneys to your eyes: lessons from computational kidney models. Modeling and Artificial Intelligence in Ophthalmology, 4.
Stadt, M. M. , Abo, S. , & Layton, A. T. . (2022). Circadian Regulation of Electrolyte and Water Transport in the Rat Kidney. SIAM Journal on Applied Mathematics, S1–S16. Society for Industrial and Applied Mathematics University City, Philadelphia.
Stadt, M. , & Layton, A. . (2022). Renal adaptations in gestational hypertension preserves K+ while minimizing Na+ retention. The FASEB Journal, 36. The Federation of American Societies for Experimental Biology.
Stadt, M. , & Layton, A. . (2022). Adaptive Changes in GFR, Tubular Morphology and Transport in Pregnant Rat Kidneys: Modeling and Analysis. In 2022 Virtual Joint Mathematics Meetings. 2022, AMS.
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–F137. American Physiological Society Rockville, MD.

Pages