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Math @ Duke
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Papers Published
- Nijhout HF, Reed M, Ulrich C, Mathematical Models of One-Carbon Metabolism,
in Vitamins and Hormones, Folic Acid, edited by G. Litwack, vol. 79
(2008),
pp. 42-85, Elsevier
- Ulrich CM, Reed MC, Nijhout HF, Modeling folate, one-carbon metabolism, and DNA methylation,
Nutrition Reviews, vol. 66, Supp1
(2008),
pp. S27-S30
- Nijhout HF, Reed MC, A Mathematical Model for Juvenile Hormone Titers,
Journal of Insect Physiology, vol. 54 no. 255-264
(2008)
- Nijhout HF, Reed M, Ulrich C, A day in the life of cell metabolism,
Journal of Biological Theory, vol. 2
(2008),
pp. 124-127
- Reed M, Thomas R, Pavisic J, Nijhout HF, James SJ, Ulrich CM, A Mathematical Model of Glutathione Metabolism,
Theoretical Biology and Medical Modelling, vol. 5
(2008),
pp. 1-16
- Ulrich CM, Neuhouser M, Liu A, Boynton A, Gregory JF, Shane B, James SJ, Reed MC, Nijhout HF, Mathematical modeling of folate metabolism: Predicted effects of genetic polymorphisms on mechanisms and biomarkers relevant to carcinogenesis,
Cancer Epidemiology Biomarkers and Prevention, vol. 17
(2008),
pp. 1822-1831
- M.C. Reed, Mathematical Biology,
in The Princeton Companion to Mathematics
(2008), Princeton University Press, Princeton
- Damien D, Escartin F, Nijhout HF, Reed MC, Liebl U, Skouloubris S,
Myllykallio H, Flavin-dependent thymidylate synthase ThyX activity: Implications for the folate cycle in Bacteria,
Journal of Bacteriology, vol. 189
(2007),
pp. 8537-8545
- D. Anderson, J. Mattingly, F. Nijhout, M.C. Reed, Propagation of Fluctuations in Biochemical Systems, I: Linear SSC Networks, vol. 69
(2007),
pp. 1791-1813
- Mitchell, C., and M.C. Reed, Neural Timing in Highly Convergent Systems,
SIAM J. Applied Math., vol. 68
(2007),
pp. 720-737
- Nijhout, H. F., Reed, M., Anderson, D., Mattingly, J., James, S. J., and Ulrich, C. M., Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation rate,
Epigenetics, vol. 1
(2006),
pp. 81-87
- Ulrich , C.M., Nijhout , H.F. and Reed, M.C., Mathematical modeling: epidemiology meets systems biology,
Cancer Epidemiol. Biomarkers Prev., vol. 15
(2006),
pp. 827-829
- Reed, M.C., Nijhout, H.F., Neuhouser, M.L., Gregory J.F. III., Shane, B., James, S.J., Boynton, A. and Ulrich, C.M., A mathematical model gives insights into nutritional and genetic aspects of folate-mediated one-carbon metabolism,
J. Nutrition, vol. 136
(2006),
pp. 2653-2661
- Boyles, A.L. Billups, A.V., Deak, K.L., Siegel, D.G., Mehltretter, L., Slifer, S.H. Bassuk, A.G., Kessler, J.A., Reed, M.C. Nijhout, H.F. George, T.M., Enterline, D.S., Gilbert, J.R., Speer, M.C., Neural tube defects and folate pathway genes: family-based association tests of gene-gene and gene-environment interactions,
Environ. Health Perspect., vol. 114
(2006),
pp. 1547-1552
- Laurent, T, Rider, B. and M. Reed, Parabolic Behavior of a Hyberbolic Delay Equation,
SIAM J. Mathematical Analysis, vol. 38
(2006),
pp. 1-15
- Nijhout, H. F., Reed, M. C., Shane, B., Gregory, J. F., Ulrich, C. M., In Silico experimentation with a model of hepatic mitochondrial folate metabolism,
Theoretical Biology and Medical Modeling, vol. 3
(2006),
pp. 40-
- H. F. Nijhout, M.C. Reed, P. Budu, C. Ulrich, A Mathematical Model of the Folate Cycle -- New Insights into Folate
Homeostasis,
J. Biological Chemistry, vol. 279 no. 53
(December, 2004),
pp. 55008-55016`
- M.C. Reed, Why Is Mathematical Biology So Hard?,
Notices of the AMS, vol. 51
(March, 2004),
pp. 338-342 [author's comments]
- M.C. Reed, J. Blum, T. Washington, J. M. Conn, A mathematical model for LH release in response to continuous and pulsatile exposure of gonadotrophs to GnRH,
Theoretical Biology and Medical Modeling, vol. 1 no. 9
(2004),
pp. 1-17 [abs]
- M.C. Reed, H. F. Nijhout, R. Sparks, C. M. Ulrich, A Mathematical Model of the Methionine Cycle,
Journal of Theoretical Biology, vol. 226
(2004),
pp. 33-43
- Solodovnikov, A., and M. C. Reed, Robustness of a Neural Network Model for Differencing,
J. Computational Neuroscience, vol. 11
(2001),
pp. 165-173
- M.C. Reed, J. Blum, J. A. Jonovick, P. M. Conn, A
Mathematical Model Quantifying GnRH--induced LH Secretion from Gonadotropes,
Amer. J. Physiol. Endocrinol. Metab., vol. 278
(2000),
pp. 263-272 [abs]
- Michael C. Reed, Jacob Blum, Colleen Mitchell, Precision of Neural Timing, Effects of Convergence and Time-Windowing,
J. Computational Neuroscience, vol. 13, (2002), pp. 35-47
- Michael C. Reed and Joseph Blum, Model Calculations of Time
Dependent
Responses to Binaural Stimuli in the Dorsal Nucleus of the
Lateral Lemniscus,
Hearing Research, 149 (2000), 77-90.
- Jacob J. Blum, Michael C. Reed, Jo Ann Janovick and M. Conn, A Mathematical Model for Quantitaion of Gonadotropin-Releasing Hormone Stimulation of Luteinizing Hormone Secretion for Gonadotropes,
Amer. J. Physiol. Endocrinol. Metab. 278 (2000), 263-272.
- Michael C. Reed and Jacob J. Blum, Model Calculations of Steady State Responses to Binaural Stimuli in the Dorsal Nucleus of the Lateral Lemniscus,
Hearing Research 136 (1999), 13-28.
- Jacob J. Blum and Michael C. Reed, Effects of Wide Band Inhibitors in the Dorsal Cochlear Nucleus II: Model Calculations of the Responses to Complex Sounds,
J. Acoust. Soc. Am., 103 (1998), 2000-2009.
- Michael C. Reed and Jacob J. Blum, Envelope Coding in the Auditory Brainstem,
Proc. Conference on Biomedical Simulation, P. Cellier, Ed., 1997.
- Michael C. Reed and Jacob J. Blum, Model Calculations of the Effects of Wide-band Inhibitors in the Dorsal Cochlear Nucleus,
J. Acoust. Soc. Am. 102 (1997), 2238-2244.
- Michael C. Reed and Jacob J. Blum, A Computational Model for Signal Processing by the Dorsal Cochlear Nucleus: I. Responses to Pure Tones,
J. Acoust. Soc. Am. 97(1995), 425-438
- Jacob J. Blum, Michael C. Reed and John M. Davies, A Computational Model for Signal processing by the Dorsal Cochlear Nucleus: II Responses to Broadband and Notch Noise,
J. Acoust. Soc. Am., 98(1995), 181-191.
- Michael C. Reed and Lisa Durbeck, Delay Lines and Auditory Processing,
Comments in Theoretical Biology, 3(1995), 441-461
- Jacob J. Blum and Michael C. Reed, Models of Axonal Transport: Applications to Understanding Certain Neuropathies,
Handbook of Neurotoxicology I: Basic Principles and Current Concepts, Dekker, N.Y., 1994.
- Michael C. Reed and Jacob J. Blum, Mathematical Questions in Axonal Transport,
Lectures on Mathematics in the Life Sciences, Vol. 24, American Math. Soc., Providence, pp. 1-21, 1994
Papers Submitted
- H. Frederik Nijhout, Jesse F. Gregory, Courtney Fitzpatrick, Eugenia Cho, Cornelia M. Ulrich, Michael C. Reed, A Mathematical Model Gives Insights into the Effects of B6 Deficiency on One-Carbon and Glutathione Metabolism,
Journal of Nutrition
(2008)
- Mitchell C, Reed M, Do Real Neurons Have Time Windows?,
Journal of Neural Computation
(2008)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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