Abo, Stéphanie M. C.; Casella, Elisa; Layton, Anita T. Sexual dimorphism in substrate metabolism during exercise. (English) Zbl 07795546 Bull. Math. Biol. 86, No. 2, Paper No. 17, 38 p. (2024). MSC: 92C30 PDFBibTeX XMLCite \textit{S. M. C. Abo} et al., Bull. Math. Biol. 86, No. 2, Paper No. 17, 38 p. (2024; Zbl 07795546) Full Text: DOI
Stadt, Melissa M.; Layton, Anita T. Mathematical modeling of calcium homeostasis in female rats: an analysis of sex differences and maternal adaptations. (English) Zbl 1521.92032 J. Theor. Biol. 572, Article ID 111583, 19 p. (2023). MSC: 92C30 92-10 PDFBibTeX XMLCite \textit{M. M. Stadt} and \textit{A. T. Layton}, J. Theor. Biol. 572, Article ID 111583, 19 p. (2023; Zbl 1521.92032) Full Text: DOI
Smith, Delaney; Layton, Anita The intrarenal renin-angiotensin system in hypertension: insights from mathematical modelling. (English) Zbl 1511.92021 J. Math. Biol. 86, No. 4, Paper No. 58, 51 p. (2023). MSC: 92C35 92C50 PDFBibTeX XMLCite \textit{D. Smith} and \textit{A. Layton}, J. Math. Biol. 86, No. 4, Paper No. 58, 51 p. (2023; Zbl 1511.92021) Full Text: DOI
Leete, Jessica; Wang, Carolyn; López-Hernández, Francisco J.; Layton, Anita T. Determining risk factors for triple whammy acute kidney injury. (English) Zbl 1492.92020 Math. Biosci. 347, Article ID 108809, 11 p. (2022). MSC: 92C32 92C35 PDFBibTeX XMLCite \textit{J. Leete} et al., Math. Biosci. 347, Article ID 108809, 11 p. (2022; Zbl 1492.92020) Full Text: DOI
Abo, Stéphanie; Smith, Delaney; Stadt, Melissa; Layton, Anita Modelling female physiology from head to toe: impact of sex hormones, menstrual cycle, and pregnancy. (English) Zbl 1489.92031 J. Theor. Biol. 540, Article ID 111074, 20 p. (2022). MSC: 92C30 92-02 PDFBibTeX XMLCite \textit{S. Abo} et al., J. Theor. Biol. 540, Article ID 111074, 20 p. (2022; Zbl 1489.92031) Full Text: DOI
Layton, Anita T. Optimizing SGLT inhibitor treatment for diabetes with chronic kidney diseases. (English) Zbl 1411.92139 Biol. Cybern. 113, No. 1-2, 139-148 (2019). MSC: 92C50 92C40 PDFBibTeX XMLCite \textit{A. T. Layton}, Biol. Cybern. 113, No. 1--2, 139--148 (2019; Zbl 1411.92139) Full Text: DOI
Wei, Ning; Layton, Anita T. Theoretical assessment of the \(\mathrm{Ca}^{2 +}\) oscillations in the afferent arteriole smooth muscle cell of the rat kidney. (English) Zbl 1385.92020 Int. J. Biomath. 11, No. 3, Article ID 1850043, 21 p. (2018). MSC: 92C40 92C45 34C05 PDFBibTeX XMLCite \textit{N. Wei} and \textit{A. T. Layton}, Int. J. Biomath. 11, No. 3, Article ID 1850043, 21 p. (2018; Zbl 1385.92020) Full Text: DOI
Chen, Ying; Fry, Brendan C.; Layton, Anita T. Modeling glucose metabolism and lactate production in the kidney. (English) Zbl 1378.92016 Math. Biosci. 289, 116-129 (2017). MSC: 92C40 92C30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Math. Biosci. 289, 116--129 (2017; Zbl 1378.92016) Full Text: DOI Link
Sgouralis, Ioannis; Maroulas, Vasileios; Layton, Anita T. Transfer function analysis of dynamic blood flow control in the rat kidney. (English) Zbl 1348.92045 Bull. Math. Biol. 78, No. 5, 923-960 (2016). MSC: 92C35 76Z05 PDFBibTeX XMLCite \textit{I. Sgouralis} et al., Bull. Math. Biol. 78, No. 5, 923--960 (2016; Zbl 1348.92045) Full Text: DOI Link
Liu, Runjing; Layton, Anita T. Modeling the effects of positive and negative feedback in kidney blood flow control. (English) Zbl 1341.92015 Math. Biosci. 276, 8-18 (2016). MSC: 92C35 92C42 PDFBibTeX XMLCite \textit{R. Liu} and \textit{A. T. Layton}, Math. Biosci. 276, 8--18 (2016; Zbl 1341.92015) Full Text: DOI
Arciero, Julia; Ellwein, Laura; Ford Versypt, Ashlee N.; Makrides, Elizabeth; Layton, Anita T. Modeling blood flow control in the kidney. (English) Zbl 1338.92036 Jackson, Trachette (ed.) et al., Applications of dynamical systems in biology and medicine. Based on the presentations at the 1st IMA’s Women in Applied Mathematics (WhAM!), research collaboration conference on dynamical systems with applications to biology and medicine, Minneapolis, MN, USA, September 9–13, 2013. New York, NY: Springer (ISBN 978-1-4939-2781-4/hbk; 978-1-4939-2782-1/ebook). The IMA Volumes in Mathematics and its Applications 158, 55-73 (2015). MSC: 92C35 76Z05 PDFBibTeX XMLCite \textit{J. Arciero} et al., IMA Vol. Math. Appl. 158, 55--73 (2015; Zbl 1338.92036) Full Text: DOI
Sgouralis, Ioannis; Layton, Anita T. Mathematical modeling of renal hemodynamics in physiology and pathophysiology. (English) Zbl 1371.92042 Math. Biosci. 264, 8-20 (2015). MSC: 92C35 92C30 PDFBibTeX XMLCite \textit{I. Sgouralis} and \textit{A. T. Layton}, Math. Biosci. 264, 8--20 (2015; Zbl 1371.92042) Full Text: DOI Link
Ford Versypt, Ashlee N.; Makrides, Elizabeth; Arciero, Julia C.; Ellwein, Laura; Layton, Anita T. Bifurcation study of blood flow control in the kidney. (English) Zbl 1371.92038 Math. Biosci. 263, 169-179 (2015). MSC: 92C35 76Z05 35B32 PDFBibTeX XMLCite \textit{A. N. Ford Versypt} et al., Math. Biosci. 263, 169--179 (2015; Zbl 1371.92038) Full Text: DOI Link
Fry, Brendan C.; Layton, Anita T. Oxygen transport in a cross section of the rat inner medulla: impact of heterogeneous distribution of nephrons and vessels. (English) Zbl 1315.92021 Math. Biosci. 258, 68-76 (2014). MSC: 92C35 92C30 PDFBibTeX XMLCite \textit{B. C. Fry} and \textit{A. T. Layton}, Math. Biosci. 258, 68--76 (2014; Zbl 1315.92021) Full Text: DOI Link
Ryu, Hwayeon; Layton, Anita T. Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney. (English) Zbl 1291.76371 J. Math. Biol. 68, No. 4, 1023-1049 (2014). MSC: 76Z05 65P30 92B05 PDFBibTeX XMLCite \textit{H. Ryu} and \textit{A. T. Layton}, J. Math. Biol. 68, No. 4, 1023--1049 (2014; Zbl 1291.76371) Full Text: DOI Link
Sgouralis, Ioannis; Layton, Anita T. Control and modulation of fluid flow in the rat kidney. (English) Zbl 1284.92023 Bull. Math. Biol. 75, No. 12, 2551-2574 (2013). MSC: 92C35 92C30 92-08 PDFBibTeX XMLCite \textit{I. Sgouralis} and \textit{A. T. Layton}, Bull. Math. Biol. 75, No. 12, 2551--2574 (2013; Zbl 1284.92023) Full Text: DOI Link
Layton, Anita T. A velocity decomposition approach for solving the immersed interface problem with Dirichlet boundary conditions. (English) Zbl 1378.76022 Childress, Stephen (ed.) et al., Natural locomotion in fluids and on surfaces. Swimming, flying, and sliding. Selected papers based on the presentations at the workshop, University of Minnesota, Minneapolis, MN, USA, June 1–5, 2010. New York, NY: Springer (ISBN 978-1-4614-3996-7/hbk; 978-1-4614-3997-4/ebook). The IMA Volumes in Mathematics and its Applications 155, 263-269 (2012). MSC: 76D05 76M20 PDFBibTeX XMLCite \textit{A. T. Layton}, IMA Vol. Math. Appl. 155, 263--269 (2012; Zbl 1378.76022) Full Text: DOI
Layton, Anita T. Modeling transport and flow regulatory mechanisms of the kidney. (English) Zbl 1268.92037 ISRN Biomath. 2012, Article ID 170594, 18 p. (2012). MSC: 92C30 92C35 92C50 PDFBibTeX XMLCite \textit{A. T. Layton}, ISRN Biomath. 2012, Article ID 170594, 18 p. (2012; Zbl 1268.92037) Full Text: DOI
Li, Yi; Layton, Anita T. Accurate computation of Stokes flow driven by an open immersed interface. (English) Zbl 1247.76026 J. Comput. Phys. 231, No. 15, 5195-5215 (2012). MSC: 76D07 65Z05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{A. T. Layton}, J. Comput. Phys. 231, No. 15, 5195--5215 (2012; Zbl 1247.76026) Full Text: DOI
Layton, Anita T.; Pham, Philip; Ryu, Hwayeon Signal transduction in a compliant short loop of Henle. (English) Zbl 1243.92010 Int. J. Numer. Methods Biomed. Eng. 28, No. 3, 369-383 (2012). MSC: 92C30 92C35 35Q92 65C20 PDFBibTeX XMLCite \textit{A. T. Layton} et al., Int. J. Numer. Methods Biomed. Eng. 28, No. 3, 369--383 (2012; Zbl 1243.92010) Full Text: DOI Link
Layton, Anita T.; Bowen, Matthew; Wen, Amy; Layton, Harold E. Feedback-mediated dynamics in a model of coupled nephrons with compliant thick ascending limbs. (English) Zbl 1211.92009 Math. Biosci. 230, No. 2, 115-127 (2011). MSC: 92C30 93B52 35Q92 37N25 65N99 PDFBibTeX XMLCite \textit{A. T. Layton} et al., Math. Biosci. 230, No. 2, 115--127 (2011; Zbl 1211.92009) Full Text: DOI Link
Layton, Anita T. Feedback-mediated dynamics in a model of a compliant thick ascending limb. (English) Zbl 1204.92028 Math. Biosci. 228, No. 2, 185-194 (2010). MSC: 92C30 35Q92 65C20 PDFBibTeX XMLCite \textit{A. T. Layton}, Math. Biosci. 228, No. 2, 185--194 (2010; Zbl 1204.92028) Full Text: DOI Link
Marcano, Mariano; Layton, Anita T.; Layton, Harold E. Maximum urine concentrating capability in a mathematical model of the inner medulla of the rat kidney. (English) Zbl 1185.92036 Bull. Math. Biol. 72, No. 2, 314-339 (2010). MSC: 92C35 65K10 92C30 PDFBibTeX XMLCite \textit{M. Marcano} et al., Bull. Math. Biol. 72, No. 2, 314--339 (2010; Zbl 1185.92036) Full Text: DOI Link
Layton, Anita T.; Edwards, Aurélie Tubuloglomerular feedback signal transduction in a short loop of Henle. (English) Zbl 1194.92019 Bull. Math. Biol. 72, No. 1, 34-62 (2010). MSC: 92C35 92C30 92C55 PDFBibTeX XMLCite \textit{A. T. Layton} and \textit{A. Edwards}, Bull. Math. Biol. 72, No. 1, 34--62 (2010; Zbl 1194.92019) Full Text: DOI
Loreto, Milagros; Layton, Anita T. An optimization study of a mathematical model of the urine concentrating mechanism of the rat kidney. (English) Zbl 1180.92019 Math. Biosci. 223, No. 1, 66-78 (2010). MSC: 92C30 65K10 92C35 PDFBibTeX XMLCite \textit{M. Loreto} and \textit{A. T. Layton}, Math. Biosci. 223, No. 1, 66--78 (2010; Zbl 1180.92019) Full Text: DOI
Layton, Anita T. Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces. (English) Zbl 1237.76123 Comput. Fluids 38, No. 2, 266-272 (2009). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{A. T. Layton}, Comput. Fluids 38, No. 2, 266--272 (2009; Zbl 1237.76123) Full Text: DOI
Layton, Anita T. On the efficiency of spectral deferred correction methods for time-dependent partial differential equations. (English) Zbl 1162.65383 Appl. Numer. Math. 59, No. 7, 1629-1643 (2009). MSC: 65M20 PDFBibTeX XMLCite \textit{A. T. Layton}, Appl. Numer. Math. 59, No. 7, 1629--1643 (2009; Zbl 1162.65383) Full Text: DOI
Beale, J. Thomas; Layton, Anita T. A velocity decomposition approach for moving interfaces in viscous fluids. (English) Zbl 1160.76327 J. Comput. Phys. 228, No. 9, 3358-3367 (2009). MSC: 76D05 65N06 35R05 74F10 PDFBibTeX XMLCite \textit{J. T. Beale} and \textit{A. T. Layton}, J. Comput. Phys. 228, No. 9, 3358--3367 (2008; Zbl 1160.76327) Full Text: DOI
Layton, Anita T. An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary. (English) Zbl 1158.76381 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2147-2155 (2008). MSC: 76M20 76M25 76D07 35R05 65M12 65N06 PDFBibTeX XMLCite \textit{A. T. Layton}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2147--2155 (2008; Zbl 1158.76381) Full Text: DOI
Layton, Anita T. On the choice of correctors for semi-implicit Picard deferred correction methods. (English) Zbl 1143.65057 Appl. Numer. Math. 58, No. 6, 845-858 (2008). MSC: 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{A. T. Layton}, Appl. Numer. Math. 58, No. 6, 845--858 (2008; Zbl 1143.65057) Full Text: DOI
Layton, Anita T. Role of UTB urea transporters in the urine concentrating mechanism of the rat kidney. (English) Zbl 1298.92028 Bull. Math. Biol. 69, No. 3, 887-929 (2007). MSC: 92C30 PDFBibTeX XMLCite \textit{A. T. Layton}, Bull. Math. Biol. 69, No. 3, 887--929 (2007; Zbl 1298.92028) Full Text: DOI
Layton, Anita T.; Christara, Christina C.; Jackson, Kenneth R. Quadratic spline methods for the shallow water equations on the sphere: Collocation. (English) Zbl 1161.76514 Math. Comput. Simul. 71, No. 3, 187-205 (2006). MSC: 76M10 65M60 76B15 76B65 86A05 PDFBibTeX XMLCite \textit{A. T. Layton} et al., Math. Comput. Simul. 71, No. 3, 187--205 (2006; Zbl 1161.76514) Full Text: DOI
Layton, Anita T.; Christara, Christina C.; Jackson, Kenneth R. Quadratic spline methods for the shallow water equations on the sphere: Galerkin. (English) Zbl 1161.76029 Math. Comput. Simul. 71, No. 3, 175-186 (2006). MSC: 76M10 65M60 76B15 76B65 86A05 PDFBibTeX XMLCite \textit{A. T. Layton} et al., Math. Comput. Simul. 71, No. 3, 175--186 (2006; Zbl 1161.76029) Full Text: DOI
Layton, Anita T. Role of structural organization in the urine concentrating mechanism of an avian kidney. (English) Zbl 1076.92020 Math. Biosci. 197, No. 2, 211-230 (2005). MSC: 92C35 35Q92 92C30 PDFBibTeX XMLCite \textit{A. T. Layton}, Math. Biosci. 197, No. 2, 211--230 (2005; Zbl 1076.92020) Full Text: DOI
Layton, Anita T.; Minion, Michael L. Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. (English) Zbl 1078.65552 BIT 45, No. 2, 341-373 (2005). MSC: 65L05 34A34 65L20 65L50 PDFBibTeX XMLCite \textit{A. T. Layton} and \textit{M. L. Minion}, BIT 45, No. 2, 341--373 (2005; Zbl 1078.65552) Full Text: DOI Link
Layton, Anita T.; Minion, Michael L. Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics. (English) Zbl 1100.76048 J. Comput. Phys. 194, No. 2, 697-715 (2004). MSC: 76M22 65M20 65M70 76N15 76V05 80M25 PDFBibTeX XMLCite \textit{A. T. Layton} and \textit{M. L. Minion}, J. Comput. Phys. 194, No. 2, 697--715 (2004; Zbl 1100.76048) Full Text: DOI
Bourlioux, Anne; Layton, Anita T.; Minion, Michael L. High-order multi-implicit spectral deferred correction methods for problems of reactive flow. (English) Zbl 1061.76053 J. Comput. Phys. 189, No. 2, 651-675 (2003). MSC: 76M22 76V05 80A32 80M25 65M70 PDFBibTeX XMLCite \textit{A. Bourlioux} et al., J. Comput. Phys. 189, No. 2, 651--675 (2003; Zbl 1061.76053) Full Text: DOI
Layton, Anita T.; Layton, Harold E. An efficient numerical method for distributed-loop models of the urine concentrating mechanism. (English) Zbl 1033.92011 Math. Biosci. 181, No. 2, 111-132 (2003). MSC: 92C35 92C30 65N22 PDFBibTeX XMLCite \textit{A. T. Layton} and \textit{H. E. Layton}, Math. Biosci. 181, No. 2, 111--132 (2003; Zbl 1033.92011) Full Text: DOI