%% Papers Published
@article{fds152579,
Author = {Nijhout HF and Reed M and Ulrich C},
Title = {Mathematical Models of One-Carbon Metabolism},
Volume = {79},
Pages = {42-85},
Booktitle = {Vitamins and Hormones, Folic Acid},
Publisher = {Elsevier},
Editor = {G. Litwack},
Year = {2008},
Key = {fds152579}
}
@article{fds152578,
Author = {Ulrich CM and Reed MC and Nijhout HF},
Title = {Modeling folate, one-carbon metabolism, and DNA
methylation},
Journal = {Nutrition Reviews},
Volume = {66, Supp1},
Pages = {S27-S30},
Year = {2008},
Key = {fds152578}
}
@article{fds152573,
Author = {Nijhout HF and Reed MC},
Title = {A Mathematical Model for Juvenile Hormone
Titers},
Journal = {Journal of Insect Physiology},
Volume = {54},
Number = {255-264},
Year = {2008},
Key = {fds152573}
}
@article{fds152574,
Author = {Nijhout HF and Reed M and Ulrich C},
Title = {A day in the life of cell metabolism},
Journal = {Journal of Biological Theory},
Volume = {2},
Pages = {124-127},
Year = {2008},
Key = {fds152574}
}
@article{fds152576,
Author = {Reed M and Thomas R and Pavisic J and Nijhout HF and James SJ and Ulrich
CM},
Title = {A Mathematical Model of Glutathione Metabolism},
Journal = {Theoretical Biology and Medical Modelling},
Volume = {5},
Pages = {1-16},
Year = {2008},
Key = {fds152576}
}
@article{fds152577,
Author = {Ulrich CM and Neuhouser M and Liu A and Boynton A and Gregory JF and Shane
B, James SJ and Reed MC and Nijhout HF},
Title = {Mathematical modeling of folate metabolism: Predicted
effects of genetic polymorphisms on mechanisms and
biomarkers relevant to carcinogenesis},
Journal = {Cancer Epidemiology Biomarkers and Prevention},
Volume = {17},
Pages = {1822-1831},
Year = {2008},
Key = {fds152577}
}
@article{fds139742,
Author = {M.C. Reed},
Title = {Mathematical Biology},
Booktitle = {The Princeton Companion to Mathematics},
Publisher = {Princeton University Press, Princeton},
Year = {2008},
Key = {fds139742}
}
@article{fds139746,
Author = {Damien D and Escartin F and Nijhout HF and Reed MC and Liebl U and Skouloubris S and Myllykallio H},
Title = {Flavin-dependent thymidylate synthase ThyX activity:
Implications for the folate cycle in Bacteria},
Journal = {Journal of Bacteriology},
Volume = {189},
Pages = {8537-8545},
Year = {2007},
Key = {fds139746}
}
@article{fds139745,
Author = {D. Anderson and J. Mattingly and F. Nijhout and M.C.
Reed},
Title = {Propagation of Fluctuations in Biochemical Systems, I:
Linear SSC Networks},
Volume = {69},
Pages = {1791-1813},
Year = {2007},
Key = {fds139745}
}
@article{fds142278,
Author = {Mitchell, C. and M.C. Reed},
Title = {Neural Timing in Highly Convergent Systems},
Journal = {SIAM J. Applied Math.},
Volume = {68},
Pages = {720-737},
Year = {2007},
Key = {fds142278}
}
@article{fds51272,
Author = {Nijhout, H. F. and Reed, M. and Anderson, D. and Mattingly, J. and James, S. J. and Ulrich, C. M.},
Title = {Long-range allosteric interactions between the folate and
methionine cycles stabilize DNA methylation
rate},
Journal = {Epigenetics},
Volume = {1},
Pages = {81-87},
Year = {2006},
Key = {fds51272}
}
@article{fds51273,
Author = {Ulrich , C.M. and Nijhout , H.F. and Reed, M.C.},
Title = {Mathematical modeling: epidemiology meets systems
biology},
Journal = {Cancer Epidemiol. Biomarkers Prev.},
Volume = {15},
Pages = {827-829},
Year = {2006},
Key = {fds51273}
}
@article{fds51274,
Author = {Reed, M.C. and Nijhout, H.F. and Neuhouser, M.L. and Gregory J.F.
III. and Shane, B. and James, S.J. and Boynton, A. and Ulrich,
C.M.},
Title = {A mathematical model gives insights into nutritional and
genetic aspects of folate-mediated one-carbon
metabolism},
Journal = {J. Nutrition},
Volume = {136},
Pages = {2653-2661},
Year = {2006},
Key = {fds51274}
}
@article{fds51275,
Author = {Boyles, A.L. Billups and A.V., Deak and K.L., Siegel and D.G., Mehltretter and L., Slifer and S.H. Bassuk and A.G., Kessler and J.A., Reed and M.C. Nijhout and H.F. George and T.M., Enterline and D.S., Gilbert and J.R., Speer and M.C.},
Title = {Neural tube defects and folate pathway genes: family-based
association tests of gene-gene and gene-environment
interactions},
Journal = {Environ. Health Perspect.},
Volume = {114},
Pages = {1547-1552},
Year = {2006},
Key = {fds51275}
}
@article{fds51271,
Author = {Laurent, T and Rider, B. and M. Reed},
Title = {Parabolic Behavior of a Hyberbolic Delay
Equation},
Journal = {SIAM J. Mathematical Analysis},
Volume = {38},
Pages = {1-15},
Year = {2006},
Key = {fds51271}
}
@article{fds139743,
Author = {Nijhout, H. F. and Reed, M. C. and Shane, B. and Gregory, J. F. and Ulrich, C. M.},
Title = {In Silico experimentation with a model of hepatic
mitochondrial folate metabolism},
Journal = {Theoretical Biology and Medical Modeling},
Volume = {3},
Pages = {40-},
Year = {2006},
Key = {fds139743}
}
@article{fds43938,
Author = {H. F. Nijhout and M.C. Reed and P. Budu and C. Ulrich},
Title = {A Mathematical Model of the Folate Cycle -- New Insights
into Folate Homeostasis},
Journal = {J. Biological Chemistry},
Volume = {279},
Number = {53},
Pages = {55008-55016`},
Year = {2004},
Month = {December},
Key = {fds43938}
}
@article{fds29091,
Author = {M.C. Reed},
Title = {Why Is Mathematical Biology So Hard?},
Journal = {Notices of the AMS},
Volume = {51},
Pages = {338-342},
Year = {2004},
Month = {March},
Key = {fds29091}
}
@article{fds29095,
Author = {M.C. Reed and J. Blum and T. Washington and J. M.
Conn},
Title = {A mathematical model for LH release in response to
continuous and pulsatile exposure of gonadotrophs to
GnRH},
Journal = {Theoretical Biology and Medical Modeling},
Volume = {1},
Number = {9},
Pages = {1-17},
Year = {2004},
Abstract = {In a previous study, a model was developed to investigate
the release of luteinizing hormone (LH) from pituitary cells
in response to a short pulse of gonadotropin-releasing
hormone (GnRH). The model included: binding of GnRH to its
receptor (R), dimerization and internalization of the
hormone receptor complex, interaction with a G protein,
production of inositol 1,4,5-trisphosphate (IP3), release of
calcium from the endoplasmic reticulum (ER), entrance of
calcium into the cytosol via voltage gated membrane
channels, pumping of calcium out of the cytosol via membrane
and ER pumps, and release of LH. The extended model,
presented in this paper, also includes the following
physiologically important phenomena: desensitization of
calcium channels; internalization of the dimerized receptors
and recycling of some of the internalized receptors; an
increase in Gq concentration near the plasma membrane in
response to receptor dimerization; and basal rates of
synthesis and degradation of the receptors. With suitable
choices of the parameters, good agreement with a variety of
experimental data of the LH release pattern in response to
pulses of various durations, repetition rates, and
concentrations of GnRH were obtained. The mathematical model
allows us to assess the effects of internalization and
desensitization on the shapes and time courses of LH
response curves.},
Key = {fds29095}
}
@article{fds16485,
Author = {M.C. Reed and H. F. Nijhout and R. Sparks and C. M.
Ulrich},
Title = {A Mathematical Model of the Methionine Cycle},
Journal = {Journal of Theoretical Biology},
Volume = {226},
Pages = {33-43},
Year = {2004},
Key = {fds16485}
}
@article{fds51277,
Author = {Solodovnikov, A. and M. C. Reed},
Title = {Robustness of a Neural Network Model for
Differencing},
Journal = {J. Computational Neuroscience},
Volume = {11},
Pages = {165-173},
Year = {2001},
Key = {fds51277}
}
@article{fds29103,
Author = {M.C. Reed and J. Blum and J. A. Jonovick and P. M.
Conn},
Title = {A Mathematical Model Quantifying GnRH--induced LH Secretion
from Gonadotropes},
Journal = {Amer. J. Physiol. Endocrinol. Metab.},
Volume = {278},
Pages = {263-272},
Year = {2000},
Abstract = {A mathematical model is developed to investigate the rate of
release of luteinizing hormone from pituitary gonadotropes
in response to short pulses of gonadotropin--releasing
hormone. The model includes binding of the hormone to its
receptor, dimerization, interaction with a G--protein,
production of IP3, release of calcium from the endoplasmic
reticulum, entrance of calcium into the cytosol via voltage
gated membrane channels, pumping of calcium out of the
cytosol via membrane and ER pumps, and the release of
luteinizing hormone. Cytosolic calcium dynamics are
simplified (i.e. oscillations are not included in the model)
and it is assumed that there is only one pool of releasable
LH. Despite these and other simplifications, the model
explains the qualitative features of the LH release in
response to GnRH pulses of various durations and different
concentrations both in the presence and absence of external
calcium.},
Key = {fds29103}
}
@article{fds10366,
Author = {Michael C. Reed and Jacob Blum and Colleen Mitchell},
Title = {Precision of Neural Timing, Effects of Convergence and
Time-Windowing},
Journal = {J. Computational Neuroscience, vol. 13, (2002), pp.
35-47},
Key = {fds10366}
}
@article{fds9770,
Author = {Michael C. Reed and Joseph Blum},
Title = {Model Calculations of Time Dependent Responses to Binaural
Stimuli in the Dorsal Nucleus of the Lateral
Lemniscus},
Journal = {Hearing Research, 149 (2000), 77-90.},
Key = {fds9770}
}
@article{fds9539,
Author = {Jacob J. Blum and Michael C. Reed and Jo Ann Janovick and M.
Conn},
Title = {A Mathematical Model for Quantitaion of Gonadotropin-Releasing
Hormone Stimulation of Luteinizing Hormone Secretion for
Gonadotropes},
Journal = {Amer. J. Physiol. Endocrinol. Metab. 278 (2000),
263-272.},
Key = {fds9539}
}
@article{fds9440,
Author = {Michael C. Reed and Jacob J. Blum},
Title = {Model Calculations of Steady State Responses to Binaural
Stimuli in the Dorsal Nucleus of the Lateral
Lemniscus},
Journal = {Hearing Research 136 (1999), 13-28.},
Key = {fds9440}
}
@article{fds8763,
Author = {Jacob J. Blum and Michael C. Reed},
Title = {Effects of Wide Band Inhibitors in the Dorsal Cochlear
Nucleus II: Model Calculations of the Responses to Complex
Sounds},
Journal = {J. Acoust. Soc. Am., 103 (1998), 2000-2009.},
Key = {fds8763}
}
@article{fds8761,
Author = {Michael C. Reed and Jacob J. Blum},
Title = {Envelope Coding in the Auditory Brainstem},
Journal = {Proc. Conference on Biomedical Simulation, P. Cellier, Ed.,
1997.},
Key = {fds8761}
}
@article{fds8762,
Author = {Michael C. Reed and Jacob J. Blum},
Title = {Model Calculations of the Effects of Wide-band Inhibitors in
the Dorsal Cochlear Nucleus},
Journal = {J. Acoust. Soc. Am. 102 (1997), 2238-2244.},
Key = {fds8762}
}
@article{fds9047,
Author = {Michael C. Reed and Jacob J. Blum},
Title = {A Computational Model for Signal Processing by the Dorsal
Cochlear Nucleus: I. Responses to Pure Tones},
Journal = {J. Acoust. Soc. Am. 97(1995), 425-438},
Key = {fds9047}
}
@article{fds9048,
Author = {Jacob J. Blum and Michael C. Reed and John M.
Davies},
Title = {A Computational Model for Signal processing by the Dorsal
Cochlear Nucleus: II Responses to Broadband and Notch
Noise},
Journal = {J. Acoust. Soc. Am., 98(1995), 181-191.},
Key = {fds9048}
}
@article{fds9049,
Author = {Michael C. Reed and Lisa Durbeck},
Title = {Delay Lines and Auditory Processing},
Journal = {Comments in Theoretical Biology, 3(1995),
441-461},
Key = {fds9049}
}
@article{fds8757,
Author = {Jacob J. Blum and Michael C. Reed},
Title = {Models of Axonal Transport: Applications to Understanding
Certain Neuropathies},
Journal = {Handbook of Neurotoxicology I: Basic Principles and Current
Concepts, Dekker, N.Y., 1994.},
Key = {fds8757}
}
@article{fds9046,
Author = {Michael C. Reed and Jacob J. Blum},
Title = {Mathematical Questions in Axonal Transport},
Journal = {Lectures on Mathematics in the Life Sciences, Vol. 24,
American Math. Soc., Providence, pp. 1-21,
1994},
Key = {fds9046}
}
%% Papers Submitted
@article{fds152581,
Author = {H. Frederik Nijhout and Jesse F. Gregory and Courtney Fitzpatrick and Eugenia Cho and Cornelia M. Ulrich and Michael C.
Reed},
Title = {A Mathematical Model Gives Insights into the Effects of B6
Deficiency on One-Carbon and Glutathione
Metabolism},
Journal = {Journal of Nutrition},
Year = {2008},
Key = {fds152581}
}
@article{fds152580,
Author = {Mitchell C and Reed M},
Title = {Do Real Neurons Have Time Windows?},
Journal = {Journal of Neural Computation},
Year = {2008},
Key = {fds152580}
}
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Mathematics Department