%% Books
@book{fds10275,
Author = {Harold E. Layton and Alan M. Weinstein},
Title = {Membrane Transport and Renal Physiology},
Journal = {(The IMA Volumes in Mathematics and its Applications, Volume
129) New York: Springer-Verlag, 2002},
Key = {fds10275}
}
%% Papers Published
@article{fds157877,
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 = {Bulletin of Mathematical Biology. 71(3):515-555,
2009.},
Year = {2009},
Month = {April},
Key = {fds157877}
}
@article{fds159030,
Author = {Jeff M. Sands and Harold E. Layton},
Title = {The physiology of urinary concentration: an
update},
Journal = {Seminars in Nephrology, 29 (2): 178-195,
2009.},
Year = {2009},
Key = {fds159030}
}
@article{fds152096,
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 = {American Journal of Physiology--Renal Physiology, 295: F1271
- F1285, 2008},
Year = {2008},
Month = {November},
Key = {fds152096}
}
@article{fds70842,
Author = {Paula Budu-Grajdeanu and Leon C. Moore and Harold E.
Layton.},
Title = {Effect of tubular inhomogeneities on filter properties of
thick ascending limb of Henle's loop. Mathematical
Biosciences 209(2): 564-592.},
Journal = {Mathematical Biosciences},
Year = {2007},
Month = {October},
Key = {fds70842}
}
@article{fds139528,
Author = {Jeff M. Sands and Harold E. Layton},
Title = {The Urine Concentrating Mechanism and Urea
Transporters},
Series = {4th Edition},
Pages = {1143–1178},
Booktitle = {The Kidney: Physiology and Pathophysiology},
Publisher = {Elsevier},
Address = {New York},
Editor = {Robert J. Alpern and Steven C. Hebert},
Year = {2007},
Key = {fds139528}
}
@article{fds50515,
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 = {The Bulletin of Mathematical Biology 68(7): 1625-1660,
2006},
Year = {2006},
Month = {October},
Key = {fds50515}
}
@article{fds50511,
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 = {American Journal of Physiology-Renal Physiology 291 (Renal
Physiology 60): F79-F97, 2006},
Year = {2006},
Month = {July},
Key = {fds50511}
}
@article{fds47303,
Author = {S. Randall Thomas and Anita T. Layton and Harold E. Layton and Leon C. Moore},
Title = {Kidney modelling: status and perspectives},
Journal = {Proceedings of the IEEE 94(4): 740-752, 2006.},
Year = {2006},
Month = {April},
Key = {fds47303}
}
@article{fds47304,
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 = {American Journal of Physiology--Renal Physiology 289 (Renal
Physiology 58): F1346-F1366, 2005},
Year = {2005},
Month = {December},
Key = {fds47304}
}
@article{fds47305,
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 = {American Journal of Physiology--Renal Physiology 289 (Renal
Physiology 58) : F1367 - F1381, 2005},
Year = {2005},
Month = {December},
Key = {fds47305}
}
@article{fds28485,
Author = {E. Bruce Pitman and Roman M. Zaritski and Kevin J. Kesseler and Leon
C. Moore and Harold E. Layton},
Title = {Feedback-mediated dynamics in two coupled
nephrons},
Journal = {Bulletin of Mathematical Biology, 66(6): 1463-1492,
2004},
Year = {2004},
Month = {November},
Key = {fds28485}
}
@article{fds26045,
Author = {Anita T. Layton and Thomas L. Pannabecker and William H. Dantzler and Harold E. Layton},
Title = {Two modes for concentrating urine in rat inner
medulla},
Journal = {American Journal of Physiology, Renal Physiology, 287 (Renal
Physiology, 56): F816-F839, 2004},
Year = {2004},
Month = {June},
Key = {fds26045}
}
@article{fds13457,
Author = {Oldson, Darren R. and Leon C. Moore and Harold E.
Layton},
Title = {Effect of sustained flow perturbations on stability and
compensation of tubuloglomerular feedback},
Journal = {American Journal of Physiology, Renal Physiology, 285:
F972-F989, 2003},
Key = {fds13457}
}
@article{fds10483,
Author = {Marcano-Velazquez, M. and Harold E. Layton},
Title = {An inverse algorithm for a mathematical model of an avian
urine concentrating mechanism},
Journal = {Bulletin of Mathematical Biology 65: 665-691,
2003},
Key = {fds10483}
}
@article{fds10454,
Author = {Layton, Anita T. and Harold E. Layton},
Title = {An efficient numerical method for distributed-loop models of
the urine concentrating mechanism},
Journal = {Mathematical Biosciences 181(2): 111-132,
2003},
Key = {fds10454}
}
@article{fds10456,
Author = {Smith, Kayne M. and Leon C. Moore and Harold E.
Layton},
Title = {Advective transport of nitric oxide in a mathematical model
of the afferent arteriole},
Journal = {American Journal of Physiology---Renal Physiology 284 (Renal
Physiology 53): F1080-F1096, 2003},
Key = {fds10456}
}
@article{fds13456,
Author = {Layton, Anita T. and Harold E. Layton},
Title = {A region-based model framework for the rat urine
concentrating mechanism},
Journal = {Bulletin of Mathematical Biology, 65: 859-901,
2003},
Key = {fds13456}
}
@article{fds10382,
Author = {Layton, Anita T. and Harold E. Layton},
Title = {A numerical method for renal models that represent abrupt
changes in tubular properties},
Journal = {Journal of Mathematical Biology 45(5): 549-567,
2002.},
Key = {fds10382}
}
@article{fds10277,
Author = {Pitman, E. Bruce and Roman M. Zaritski and Leon C. Moore and Harold E. Layton},
Title = {A reduced model for nephron flow dynamics mediated by
tubuloglomerular feedback},
Journal = {In: Membrane Transport and Renal Physiology, The IMA Volumes
in Mathematics and its Applications, Volume 129, edited by
Harold E. Layton and Alan M. Weinstein. New York:
Springer-Verlag, pp. 345-364, 2002.},
Key = {fds10277}
}
@article{fds10278,
Author = {Layton, Harold E.},
Title = {Mathematical models of the mammalian urine concentrating
mechanism},
Journal = {In: Membrane Transport and Renal Physiology, The IMA Volumes
in Mathematics and Its Applications, Volume 129, edited by
Harold E. Layton and Alan M. Weinstein. New York,
Springer-Verlag, pp. 233-272, 2002.},
Key = {fds10278}
}
@article{fds10191,
Author = {Layton, Anita T. and Harold E. Layton},
Title = {A semi-Lagrangian semi-implicit numerical method for models
of the urine concentrating mechanism},
Journal = {SIAM Journal on Scientific Computing, 23(5): 1526-1548,
2002.},
Key = {fds10191}
}
@article{fds9866,
Author = {Zaritski, Roman M. and E. Bruce Pitman and Harold E. Layton and Leon C. Moore},
Title = {Coupling a tubuloglomerular feedback nephron model with a
myogenic afferent arteriole model},
Journal = {In: Computing and Information Technologies (Proceedings of
the International Conference on Computing and Information
Technologies, Montclair State University, Upper Montclair,
NJ, USA, 12 October 2001), edited by George Antoniou and
Dorothy Deremer. World Scientific Publishing Co. Pte. Ltd.,
2001, p. 55-62.},
Key = {fds9866}
}
@article{fds9729,
Author = {Layton, H.E. and John M. Davies and Giovanni Casotti and Eldon J.
Braun},
Title = {Mathematical model of an avian urine concentrating
mechanism},
Journal = {American Journal of Physiology-Renal Physiology 279 (Renal
Physiology 48): F1139-F1160, 2000.},
Key = {fds9729}
}
@article{fds9654,
Author = {Sands, Jeff M. and Harold E. Layton},
Title = {Urine concentrating mechanism and its regulation},
Journal = {Chapter 45 in: The Kidney: Physiology and Pathophysiology
(third edition), edited by D. W. Seldin and G. Giebisch.
Philadelphia: Lippincott Williams & Wilkins, 2000, p.
1175-1216.},
Key = {fds9654}
}
@article{fds9540,
Author = {Layton, H. E. and E. Bruce Pitman and Leon C.
Moore},
Title = {Limit-cycle oscillations and tubuloglomerular feedback
regulation of distal sodium delivery},
Journal = {American Journal of Physiology 278 (Renal Physiology 47):
F287-F301, 2000.},
Key = {fds9540}
}
@article{fds8941,
Author = {Arthurs, Kayne M. and Leon C. Moore and Charles S. Peskin and E.
Bruce Pitman and H. E. Layton},
Title = {Modeling arteriolar flow and mass transport using the
immersed boundary method},
Journal = {Journal of Computational Physics 147 (2): 402-440,
1998.},
Key = {fds8941}
}
@article{fds9039,
Author = {Layton, H. E. and E. Bruce Pitman and Leon C.
Moore},
Title = {Spectral properties of the tubuloglomerular feedback
system},
Journal = {American Journal of Physiology 273 (Renal Physiology 42):
F635-F649, 1997.},
Key = {fds9039}
}
@article{fds9038,
Author = {Layton, H. E. and E. Bruce Pitman and Leon C.
Moore},
Title = {Nonlinear filter properties of the thick ascending
limb},
Journal = {American Journal of Physiology 273 (Renal Physiology 42):
F625-F634, 1997.},
Key = {fds9038}
}
@article{fds8950,
Author = {Pitman, E. B. and H. E. Layton},
Title = {Mass conservation in a dynamic numerical method for a model
of the urine concentrating mechanism},
Journal = {Conference proceedings of The Third International Congress
on Industrial and Applied Mathematics, appearing in
Zeitschrift fuer Angewandte Mathematik und Mechanik 76(S4):
45-48, 1996.},
Key = {fds8950}
}
@article{fds8948,
Author = {Layton, H. E. and L. C. Moore and E. B. Pitman},
Title = {Spectral properties of the TGF pathway},
Journal = {Conference proceedings of The Third International Congress
on Industrial and Applied Mathematics, appearing in
Zeitschrift fuer Angewandte Mathematik und Mechanik 76(S4):
33-35, 1996.},
Key = {fds8948}
}
@article{fds8949,
Author = {Layton, H. E. and Mark A. Knepper and Chung-Lin
Chou},
Title = {Permeability criteria for effective function of passive
countercurrent multiplier},
Journal = {American Journal of Physiology 270 (Renal Fluid Electrolyte
Physiology 39): F9-F20, 1996.},
Key = {fds8949}
}
@article{fds8947,
Author = {Layton, H. E. and E. Bruce Pitman and Mark A.
Knepper},
Title = {A dynamic numerical method for models of the urine
concentrating mechanism},
Journal = {SIAM Journal on Applied Mathematics 55(5): 1390-1418,
October, 1995.},
Key = {fds8947}
}
@article{fds8946,
Author = {Layton, H. E. and E. Bruce Pitman and Leon C.
Moore},
Title = {Instantaneous and steady-state gains in the tubuloglomerular
feedback system},
Journal = {American Journal of Physiology 268 (Renal Fluid Electrolyte
Physiology 37): F163-F174, 1995.},
Key = {fds8946}
}
@article{fds8945,
Author = {Pitman, E. Bruce and H. E. Layton and Leon C.
Moore},
Title = {Numerical simulation of propagating concentration profiles
in renal tubules},
Journal = {Bulletin of Mathematical Biology 56(3): 567-586,
1994.},
Key = {fds8945}
}
@article{fds8944,
Author = {Layton, H. E. and E. Bruce Pitman},
Title = {A dynamic numerical method for models of renal
tubules},
Journal = {Bulletin of Mathematical Biology 56(3): 547-556,
1994.},
Key = {fds8944}
}
@article{fds9608,
Author = {Layton, H. E. and John M. Davies},
Title = {Distributed solute and water reabsorption in a central core
model of the renal medulla},
Journal = {Mathematical Biosciences 116: 169-196, 1993.},
Key = {fds9608}
}
@article{fds9607,
Author = {Chou, Chung-Lin and Mark A. Knepper and H. E.
Layton},
Title = {Urinary concentrating mechanism: role of the inner
medulla},
Journal = {Seminars in Nephrology 13(2): 168-181, 1993.},
Key = {fds9607}
}
@article{fds9606,
Author = {Pitman, E. Bruce and H. E. Layton and Leon C.
Moore},
Title = {Dynamic flow in the nephron: filtered delay in the TGF
pathway},
Journal = {in Fluid Dynamics in Biology: Proceedings of the
AMS-IMS-SIAM Joint Research Conference, July 1991, Edited by
Angela Cheer and C. P. van Dam, appearing as Contemporary
Mathematics (American Mathematical Society) 141: 317-336,
1993.},
Key = {fds9606}
}
@article{fds9605,
Author = {Knepper, M. A. and C.-L. Chou and H. E. Layton},
Title = {How is urine concentrated by the inner medulla?},
Journal = {In: Moving Points in Nephrology, edited by E. Bourke, N. P.
Mallick, and V. E. Pollak, appearing as Contributions to
Nephrology, Vol. 102, pp. 144-160, S. Karger, Basel,
1993.},
Key = {fds9605}
}
@article{fds9604,
Author = {Jamison, Rex L. and Dennis R. Roy and Harold E.
Layton},
Title = {Countercurrent mechanism and its regulation},
Journal = {Chapter 7 in Clinical Disturbances of Water Metabolism,
edited by D. W. Seldin and G. Giebisch. New York: Raven
Press, 1993, p. 119-156. (This chapter is an abridgment of
the 1992 chapter by the same authors.)},
Key = {fds9604}
}
@article{fds9601,
Author = {Roy, Dennis R., Jr. and Harold E. Layton and Rex L.
Jamison},
Title = {Countercurrent mechanism and its regulation},
Journal = {Chapter 45 in The Kidney: Physiology and Pathophysiology
(second edition), edited by D. W. Seldin and G. Giebisch.
New York: Raven Press, 1992, p. 1649-1692.},
Key = {fds9601}
}
@article{fds9600,
Author = {Layton, H. E. and E. Bruce Pitman and Leon C.
Moore},
Title = {Bifurcation analysis of TGF-mediated oscillations in
SNGFR},
Journal = {American Journal of Physiology 259 (Renal Fluid Electrolyte
Physiology 30): F904-F919, 1991.},
Key = {fds9600}
}
@article{fds9599,
Author = {Layton, H. E.},
Title = {Distributed loops of Henle in a central core model of the
renal medulla: Where should the solute come
out?},
Journal = {Proceedings of the Seventh International Conference on
Mathematical and Computer Modelling in Science and
Technology, Mathematical and Computer Modelling 14: 533-537,
1990.},
Key = {fds9599}
}
@article{fds9598,
Author = {Layton, H. E. and E. Bruce Pitman},
Title = {Oscillations in a simple model of tubuloglomerular
feedback},
Journal = {Proceedings of the Twelfth Annual International Conference
of the Institute of Electrical and Electronics
Engineers/Engineering in Medicine and Biology Society 12(3):
987-988, 1990.},
Key = {fds9598}
}
@article{fds9597,
Author = {Layton, H. E.},
Title = {Urea transport in a distributed loop model of the urine
concentrating mechanism},
Journal = {American Journal of Physiology 258 (Renal Fluid Electrolyte
Physiology 27): F1110-F1124, 1990.},
Key = {fds9597}
}
@article{fds9596,
Author = {Layton, H. E.},
Title = {Concentrating urine in the inner medulla of the
kidney},
Journal = {Comments on Theoretical Biology 1(3): 179-196,
1989.},
Key = {fds9596}
}
@article{fds9595,
Author = {Pitman, E. Bruce and H. E. Layton},
Title = {Tubuloglomerular feedback in a dynamic nephron},
Journal = {Communications on Pure and Applied Mathematics 42: 759-787,
1989.},
Key = {fds9595}
}
@article{fds9592,
Author = {Layton, H. E.},
Title = {Energy advantage of counter-current oxygen exchange in fish
gills},
Journal = {Journal of Theoretical Biology 125: 307-316,
1987.},
Key = {fds9592}
}
@article{fds9594,
Author = {Layton, H. E.},
Title = {Existence and uniqueness of solutions to a mathematical
model of the urine concentrating mechanism},
Journal = {Mathematical Biosciences 84: 197-210, 1987.},
Key = {fds9594}
}
@article{fds9593,
Author = {Layton, H. E.},
Title = {Distribution of Henle's loops may enhance urine
concentrating capability},
Journal = {Biophysical Journal 49: 1033-1040, 1986.},
Key = {fds9593}
}
%% Papers Accepted
@article{fds160443,
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},
Year = {2008},
Key = {fds160443}
}
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Mathematics Department