%% Papers Published
@article{fds151520,
Author = {Anita T. Layton},
Title = {Using integral equations and the immersed interface method
to solve immersed boundary problems with stiff
forces},
Journal = {Comput. Fluids.},
Volume = {38},
Pages = {266-272},
Year = {2009},
Key = {fds151520}
}
@article{fds157874,
Author = {J. Thomas Beale and Anita T. Layton},
Title = {A velocity decomposition approach for moving interfaces in
viscous fluids},
Journal = {J. Comput. Phys.},
Volume = {228},
Pages = {3358-3367},
Year = {2009},
Key = {fds157874}
}
@article{fds157006,
Author = {Anita T. Layton and Leon C. Moore and Harold E.
Layton},
Title = {Multistable dynamics mediated by tubuloglomerular feedback
in a model of coupled nephrons},
Journal = {Bull Math Biol},
Volume = {71},
Number = {3},
Pages = {515-555},
Year = {2009},
Key = {fds157006}
}
@article{fds157875,
Author = {Anita T. Layton},
Title = {On the efficiency of spectral deferred correction methods
for time-dependent partial differential equations},
Journal = {Appl. Numer. Math.},
Volume = {59},
Pages = {1629-1643},
Year = {2009},
Key = {fds157875}
}
@article{fds159929,
Author = {Jing Chen and Anita T. Layton and Aurelie Edwards},
Title = {A mathematical model of oxygen transport in the rat outer
medulla: I. Model formulation and baseline
results},
Journal = {Am J Physiol Renal Physiol},
Volume = {297},
Pages = {F517-F536},
Year = {2009},
Key = {fds159929}
}
@article{fds159930,
Author = {Jing Chen and Aurelie Edwards and Anita T.
Layton},
Title = {A mathematical model of oxygen transport in the rat outer
medulla: II. Impacts of outer medullary architecture},
Journal = {Am J Physiol Renal Physiol},
Volume = {297},
Pages = {F537-F548},
Year = {2009},
Key = {fds159930}
}
@article{fds159895,
Author = {Anita T. Layton and Harold E. Layton and William H. Dantzler and Thomas L. Pannabecker},
Title = {The mammalian urine concentrating mechanism: hypotheses and
uncertainties},
Journal = {Physiol.},
Volume = {24},
Pages = {250-256},
Year = {2009},
Key = {fds159895}
}
@article{fds145760,
Author = {Anita T. Layton},
Title = {On the choice of correctors for semi-implicit Picard
deferred correction methods},
Journal = {Appl. Numer. Math.},
Volume = {58},
Number = {6},
Pages = {845-858},
Year = {2008},
Key = {fds145760}
}
@article{fds148405,
Author = {Jin Wang and Anita T. Layton},
Title = {Numerical simulations of fiber sedimentation in
Navier-Stokes flows},
Journal = {Comm. Comput. Phys.},
Volume = {5},
Pages = {61-83},
Year = {2008},
Key = {fds148405}
}
@article{fds151478,
Author = {Thomas L. Pannabecker and William H. Dantzler and Harold E.
Layton and Anita T. Layton},
Title = {Role of three-dimensional architecture in the urine
concentrating mechanism of the rat renal inner
medulla},
Journal = {Am. J. Physiol. Renal Physiol.},
Volume = {295},
Pages = {F1271 - F1285},
Year = {2008},
Key = {fds151478}
}
@article{fds53968,
Author = {Anita T. Layton},
Title = {Role of UTB urea transporters in the urine concentrating
mechanism of the rat kidney},
Journal = {Bull. Math. Biol.},
Volume = {69},
Number = {3},
Pages = {887-929},
Year = {2007},
Key = {fds53968}
}
@article{fds64027,
Author = {Anita T. Layton and Michael L. Minion},
Title = {Implications of the choice of predictors for semi-implicit
Picard Integral deferred correction methods},
Journal = {Comm. Appl. Math. Comp. Sci.},
Volume = {2},
Number = {1},
Pages = {1-34},
Year = {2007},
Key = {fds64027}
}
@article{fds148404,
Author = {Anita T. Layton},
Title = {An efficient numerical method for the two-fluid Stokes
equations with a moving boundary},
Journal = {Computer Methods Appl. Mech. Eng.},
Volume = {197},
Pages = {2147-2155},
Year = {2007},
Key = {fds148404}
}
@article{fds46891,
Author = {S. Randall Thomas and Anita Layton and Harold Layton and Leon
Moore},
Title = {Kidney modelling: status and perspectives},
Journal = {Proceedings of the IEEE},
Volume = {94},
Number = {4},
Pages = {740-752},
Year = {2006},
Key = {fds46891}
}
@article{fds46961,
Author = {Anita T. Layton and Christina C. Christara and Kenneth R.
Jackson},
Title = {Quadratic spline Galerkin method for the shallow water
equations on the sphere},
Journal = {Math. Comput. Simul.},
Volume = {71},
Number = {3},
Pages = {175-186},
Year = {2006},
Key = {fds46961}
}
@article{fds46962,
Author = {Anita T. Layton and Christina C. Christara and Kenneth R.
Jackson},
Title = {Optimal quadratic spline collocation methods for the shallow
water equations on the sphere},
Journal = {Math. Comput. Simul.},
Volume = {71},
Number = {3},
Pages = {187-205},
Year = {2006},
Key = {fds46962}
}
@article{fds47739,
Author = {J. Thomas Beale and Anita T. Layton},
Title = {On the accuracy of finite difference methods for elliptic
problems with interfaces},
Journal = {Comm. Appl. Math. Comp. Sci.},
Volume = {1},
Number = {1},
Pages = {91-119},
Year = {2006},
Key = {fds47739}
}
@article{fds47740,
Author = {Anita T. Layton and Leon C. Moore and Harold E.
Layton},
Title = {Multistability in tubuloglomerular feedback and spectral
complexity in spontaneously hypertensive
rats},
Journal = {Am. J. Physiol. Renal Physiol.},
Volume = {291},
Pages = {F79-F97},
Year = {2006},
Key = {fds47740}
}
@article{fds49985,
Author = {Mariano Marcano and Anita T. Layton and Harold E.
Layton},
Title = {An optimization algorithm for a distributed-loop model of an
avian urine concentrating mechanism},
Journal = {Bull. Math. Biol.},
Volume = {68},
Number = {7},
Pages = {1625-1660},
Year = {2006},
Key = {fds49985}
}
@article{fds53675,
Author = {Anita T. Layton},
Title = {Modeling water transport across elastic boundaries using an
explicit jump method},
Journal = {SIAM J. Sci. Comput.},
Volume = {28},
Number = {6},
Pages = {2189-2207},
Year = {2006},
Key = {fds53675}
}
@article{fds41055,
Author = {Anita T. Layton},
Title = {A methodology for tracking solute distribution in
mathematical models of the kidney},
Journal = {J. Biol. Sys.},
Volume = {13},
Number = {4},
Pages = {1-21},
Year = {2005},
Key = {fds41055}
}
@article{fds41909,
Author = {Anita T. Layton},
Title = {Role of structural organization in the urine concentrating
mechanism of an avian kidney},
Journal = {Math. Biosci.},
Volume = {197},
Number = {2},
Pages = {211-230},
Year = {2005},
Key = {fds41909}
}
@article{fds42321,
Author = {Anita T. Layton and Michael L. Minion},
Title = {Implications of the choice of quadrature nodes for Picard
Integral deferred correction methods},
Journal = {BIT},
Volume = {45},
Number = {2},
Pages = {341-373},
Year = {2005},
Key = {fds42321}
}
@article{fds42368,
Author = {Anita T. Layton and Harold E. Layton},
Title = {A region-based mathematical model of the urine concentrating
mechanism in the rat outer medulla: II. Parameter
sensitivity and tubular inhomogeneity},
Journal = {Am. J. Physiol. Renal Physiol.},
Volume = {289},
Pages = {F1367-F1381},
Year = {2005},
Key = {fds42368}
}
@article{fds42369,
Author = {Anita T. Layton and Harold E. Layton},
Title = {A region-based mathematical model of the urine concentrating
mechanism in the rat outer medulla: I. Formulation and
base-case results},
Journal = {Am. J. Physiol. Renal Physiol.},
Volume = {289},
Pages = {F1346-F1366},
Year = {2005},
Key = {fds42369}
}
@article{fds24328,
Author = {Anita T. Layton and Michael L. Minion},
Title = {Conservative multi-implicit spectral deferred correction
methods for reacting gas dynamics},
Journal = {J. Comput. Phys.},
Volume = {194},
Number = {2},
Pages = {697-715},
Year = {2004},
Key = {fds24328}
}
@article{fds24336,
Author = {Anita T. Layton},
Title = {Conservative multi-implicit integral deferred correction
methods with adaptive mesh refinement},
Journal = {Proceedings of the 12th Annual Conference of the CFD Society
of Canada},
Year = {2004},
Key = {fds24336}
}
@article{fds26286,
Author = {Anita T. Layton and Thomas L. Pannabecker and William H. Dantzler and Harold E. Layton},
Title = {Two modes for concentrating urine in the rat inner
medulla},
Journal = {Am. J. Physiol. Renal Physiol},
Volume = {287},
Pages = {F816-F839},
Year = {2004},
Key = {fds26286}
}
@article{fds24323,
Author = {Anita T. Layton and Harold E. Layton},
Title = {An efficient numerical method for distributed-loop models of
the urine concentrating mechanism},
Journal = {Math. Biosci.},
Volume = {181},
Number = {2},
Pages = {111-132},
Year = {2003},
Key = {fds24323}
}
@article{fds24324,
Author = {Anita T. Layton},
Title = {A semi-Lagrangian collocation method for the shallow water
equations on the sphere},
Journal = {SIAM J. Sci. Comput.},
Volume = {24},
Number = {4},
Pages = {1433-1449},
Year = {2003},
Key = {fds24324}
}
@article{fds24325,
Author = {Anita T. Layton and William F. Spotz},
Title = {A semi-Lagrangian double Fourier method for the shallow
water equations on the sphere},
Journal = {J. Comput. Phys.},
Volume = {189},
Number = {1},
Pages = {180-196},
Year = {2003},
Key = {fds24325}
}
@article{fds24326,
Author = {Anne Bourlioux and Anita T. Layton and Michael L.
Minion},
Title = {High-order multi-implicit spectral deferred correction
methods for problems of reactive flow},
Journal = {J. Comput. Phys.},
Volume = {189},
Number = {2},
Pages = {651-675},
Year = {2003},
Key = {fds24326}
}
@article{fds24327,
Author = {Anita T. Layton and Harold E. Layton},
Title = {A region-based model framework for the rat urine
concentrating mechanism},
Journal = {Bull. Math. Biol.},
Volume = {65},
Number = {6},
Pages = {859-901},
Year = {2003},
Key = {fds24327}
}
@article{fds24337,
Author = {Anita T. Layton},
Title = {High-order operator-splitting methods for reacting gas
dynamics},
Journal = {Proceedings of the 11th Annual Conference of the CFD Society
of Canada},
Year = {2003},
Key = {fds24337}
}
@article{fds24338,
Author = {Anita T. Layton},
Title = {A two-time-level semi-Lagrangian semi-implicit double
Fourier method},
Journal = {Proceedings of the Workshop on Current Development in
Shallow Water Models on the Sphere},
Year = {2003},
Key = {fds24338}
}
@article{fds24319,
Author = {Anita T. Layton},
Title = {Cubic spline collocation method for the shallow water
equations on the sphere},
Journal = {J. Comput. Phys.},
Volume = {179},
Pages = {578-592},
Year = {2002},
Key = {fds24319}
}
@article{fds24320,
Author = {Anita T. Layton and Harold E. Layton},
Title = {A semi-Lagrangian semi-implicit numerical method for models
of the urine concentrating mechanism},
Journal = {SIAM J. Sci. Comput.},
Volume = {23},
Number = {5},
Pages = {1528-1548},
Year = {2002},
Key = {fds24320}
}
@article{fds24321,
Author = {Anita T. Layton and Michiel van de Panne},
Title = {A numerically efficient and stable algorithm for animating
water waves},
Journal = {The Visual Computer},
Volume = {18},
Number = {1},
Pages = {41-53},
Year = {2002},
Key = {fds24321}
}
@article{fds24322,
Author = {Anita T. Layton and Harold E. Layton},
Title = {A numerical method for renal models that represent tubules
with abrupt changes in membrane properties},
Journal = {J. Math. Biol.},
Volume = {45},
Number = {5},
Pages = {549-567},
Year = {2002},
Key = {fds24322}
}
@article{fds24339,
Author = {Anita W. Tam},
Title = {A two-time-level semi-quadratic spline Galerkin method for
the shallow water equations},
Journal = {Proceedings of the 8th Annual Conference of the CFD Society
of Canada},
Year = {2000},
Key = {fds24339}
}
%% Papers Accepted
@article{fds164723,
Author = {Milargros Loreto and Anita T. Layton},
Title = {An optimization study of a mathematical model of the urine
concentrating mechanism of the rat kidney},
Journal = {Math. Biosci., in press},
Year = {2009},
Key = {fds164723}
}
@article{fds164724,
Author = {Anita T. Layton and Yusuke Toyama and Guo-Qiang Yang and Glenn S.
Edwards and Daniel P. Kiehart and Stephanos
Venakides},
Title = {Drosophila morphogenesis: tissue force laws and the modeling
of dorsal closure},
Journal = {HFSP, in press},
Year = {2009},
Key = {fds164724}
}
@article{fds158201,
Author = {Anita T. Layton and Aurelie Edwards},
Title = {Tubuloglomerular feedback signal transduction in a short
loop of Henle},
Journal = {Bull. Math. Biol., in press},
Year = {2009},
Key = {fds158201}
}
@article{fds159894,
Author = {Mariano Marcano and Anita T. Layton and Harold E.
Layton},
Title = {Maximum urine concentrating capability for transport
parameters and urine flow within prescribed
ranges},
Journal = {Bull. Math. Biol., in press},
Year = {2009},
Key = {fds159894}
}
@article{fds164039,
Author = {Mark A. Hallen and Anita T. Layton},
Title = {Expanding the scope of quantitative FRAP
analysis},
Journal = {J. Theor. Biol., in press},
Year = {2009},
Key = {fds164039}
}
%% Papers Submitted
@article{fds163974,
Author = {Jing Chen and Aurelie Edwards and Anita T.
Layton},
Title = {Effects of pH and medullary blood flow on oxygen transport
and sodium reabsorption in the rat outer
medulla},
Journal = {Am J Physiol Renal Physiol, submitted},
Year = {2009},
Key = {fds163974}
}
@article{fds158380,
Author = {Anita T. Layton and Thomas L. Pannabecker and William H. Dantzler and Harold E. Layton},
Title = {Functional implications of the three-dimensional
architecture of the rat renal inner medulla},
Journal = {Am. J. Physiol. Renal Physiol., submitted},
Year = {2009},
Key = {fds158380}
}
@article{fds159374,
Author = {Anita T. Layton and Leon C. Moore and Harold E.
Layton},
Title = {Tubuloglomerular Feedback signal transduction in a compliant
thick ascending limb},
Journal = {Am. J. Physiol. Renal Physiol.},
Year = {2009},
Key = {fds159374}
}
@article{fds159079,
Author = {Jin Wang and Anita T. Layton},
Title = {New numerical methods for Burgers' equation based on
semi-Lagrangian and modified equation approaches},
Journal = {Appl. Numer. Math., submitted},
Year = {2009},
Key = {fds159079}
}
@article{fds158381,
Author = {Anita T. Layton and Thomas L. Pannabecker and William H. Dantzler and Harold E. Layton},
Title = {Hyperfiltration and inner-stripe hypertrophy may explain
findings by Gamble and co-workers},
Journal = {Am. J. Physiol. Renal Physiol., submitted},
Year = {2009},
Key = {fds158381}
}
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Mathematics Department