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Math @ Duke
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Papers Published
- J. Best, H. F. Nijhout, M. Reed, Bursts and the efficacy of selective serotonin reuptake inhibitors,
Pharmacopsychiatry, vol. 43(Supp. 1)
(2011),
pp. S76-S-83
- J. Best, G. Oakley, M. Reed, H. F. Nijhout, Mathematical models: Interactions between serotonion and dopamine in Parkinson's disease,
in Etiology and Pathophysiology of Parkinson's Disease, edited by Abdul Qayyum Rana
(2011),
pp. 405-420, InTech
- M. L. Neuhouser, H. F. Nijhout, M. C. Reed, A Liu, J. F. Gregory II, B. Shane, S. J. James, R. Galbraith, C. M. Ulrich, Mathematical modeling predicts the effect of folate deficiency and excess on cancer related biomarkers,
Cancer Epid. Biomark. Prev., vol. 43
(2011),
pp. 1912-1917
- M.C. Reed, Thomas Kurtz, H. F. Nijhout, Mathematical modeling of cell metabolism,
in Encyclopedia of Applied and Computational Mathematics, edited by B. Engquist
(2011), Springer, Berlin
- S. Lawley, M. Cinderella, M. Hall, M. Gamble, H. F. Nijhout, M.C. Reed, Mathematical model insights into arsenic methylation,
Theoretical Biology and Medical Modeling, vol. 8
(2011),
pp. 1-17
- Popovic L, McKinley, S., Reed M., A stochastic compartment model for fast axonal transport,
SIAM J. Appl. Math., vol. 71
(2011),
pp. 1531-1556
- J. A Best, H. F. Nijhout, M.C. Reed, Serotonin synthesis, release, and reuptake in terminals: a mathematical model,
Theoretical Biology and medical Modeling, vol. 32
(2010),
pp. 34-
- J. Best, M.C. Reed, H. F. Nijhout, Models of dopaminergic and serontonergic signaling,
Pharmacopsychiatry, vol. 43(supp. 1)
(2010),
pp. S61-S66
- Reed M, Lieb A, Nijhout HF, Biological Significance of Substrate Inhibition,
BioEssays, vol. 32
(2010),
pp. 422-429
- 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,
Nutrition, vol. 139
(2009),
pp. 784-791
- Best J, Nijhout HF, Reed M, Homeostatic mechanisms in dopamine synthesis and release: a mathematical model.,
Theoretical Biology and Medical Modeling, vol. 6
(2009),
pp. 21-
- Audrey S. Howell AS, Savage NS, Johnson SA, Bose I, Wagner AW, Zyla TR, Goryachev AB, Nijhout HF, Reed MC, and Lew DJ, Singularity in polarization: re-wiring yeast cel ls to make two buds,
Cell, vol. 139
(2009),
pp. 731-743
- Thomas DC, Conti DV, Ulrich CM, Nijhout HF, Reed MC, Baurly J., Use of pathway information in molecular epidemiology. Human Genomics,
Human Genomics, vol. 4
(2009),
pp. 21-42
- Reed M, Best J, Nijhout HF, Passive and active stabilization of dopamine in the striatum.,
Bioscience Hypotheses, vol. 2
(2009),
pp. 240-244
- 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 Accepted
- Geenen S, du Preez FB, Reed MC, Nijhout HF, Kenna JG, Wilson ID, Westerhoff HV and Snoep JL, A Mathematical Modelling Approach to Assessing the Reliability of Biomarkers of Glutathione Metabolism,
Eur. J. Pharm. Sci.
(2011)
Papers Submitted
- S. Luo, M. Reed, J. Mattingly, K, Koelle, The impact of host immune status on the within-host and population dynamics of antigenic immune escape,
J. Royal Soc.
(2011)
- C. Mitchell, M.C. Reed, Do Real Neurons Have Time Windows?,
Journal of Computational Neuroscience
(2011)
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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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