Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications of Michael C. Reed    :chronological  alphabetical  combined  bibtex listing:

Books

  1. Reed, MC, Fundamental Ideas of Analysis (1998), John Wiley & Sons
  2. Reed, MC; Simon, B, Methods of Modern Mathematical Physics III: Scattering Theory (1979), Academic Press
  3. Reed, MC; Simon, B, Methods of Modern Mathematical Physics IV: Analysis of Operators (1978), Academic Press
  4. Reed, MC, Abstract Non-linear Wave Equations, vol. 507 (1976), SPRINGER
  5. Reed, MC; Simon, B, Methods of Modern Mathematical Physics II: Fourier Analysis, Self-adjointness (1975), Academic Press
  6. Reed, MC; Simon, B, Methods of Modern Mathematical Physics I: Functional Analysis (1972), Academic Press

Papers Published

  1. Nijhout, HF; Best, JA; Reed, MC, Systems biology of robustness and homeostatic mechanisms., Wiley Interdisciplinary Reviews. Systems Biology and Medicine, vol. 11 no. 3 (May, 2019), pp. e1440 [doi]  [abs]
  2. West, A; Best, J; Abdalla, A; Nijhout, HF; Reed, M; Hashemi, P, Voltammetric evidence for discrete serotonin circuits, linked to specific reuptake domains, in the mouse medial prefrontal cortex., Neurochemistry International, vol. 123 (February, 2019), pp. 50-58 [doi]  [abs]
  3. Sadre-Marandi, F; Dahdoul, T; Reed, MC; Nijhout, HF, Sex differences in hepatic one-carbon metabolism., Bmc Systems Biology, vol. 12 no. 1 (October, 2018), pp. 89 [doi]  [abs]
  4. Duncan, W; Best, J; Golubitsky, M; Nijhout, HF; Reed, M, Homeostasis despite instability., Mathematical Biosciences, vol. 300 (June, 2018), pp. 130-137 [doi]  [abs]
  5. Suppiramaniam, V; Bloemer, J; Reed, M; Bhattacharya, S, Neurotransmitter Receptors, in Comprehensive Toxicology: Third Edition, vol. 6-15 (December, 2017), pp. 174-201, Elsevier, ISBN 9780081006016 [doi]  [abs]
  6. Best, J; Nijhout, HF; Samaranayake, S; Hashemi, P; Reed, M, A mathematical model for histamine synthesis, release, and control in varicosities., Theoretical Biology & Medical Modelling, vol. 14 no. 1 (December, 2017), pp. 24 [doi]  [abs]
  7. Reed, M; Best, J; Golubitsky, M; Stewart, I; Nijhout, HF, Analysis of Homeostatic Mechanisms in Biochemical Networks., Bulletin of Mathematical Biology, vol. 79 no. 11 (November, 2017), pp. 2534-2557 [doi]  [abs]
  8. Nijhout, HF; Sadre-Marandi, F; Best, J; Reed, MC, Systems Biology of Phenotypic Robustness and Plasticity., Integrative and Comparative Biology, vol. 57 no. 2 (August, 2017), pp. 171-184 [doi]  [abs]
  9. Thanacoody, HKR; Nijhout, HF; Reed, MC; Thomas, S, Mathematical modeling of the effect of different intravenous acetylcysteine regimens on hepatic glutathione regeneration and hepatocyte death following simulated acetaminophen overdose, Clinical Toxicology (Philadelphia, Pa.), vol. 55 no. 7 (January, 2017), pp. 753-753, TAYLOR & FRANCIS LTD
  10. Thanacoody, HKR; Nijhout, HF; Reed, MC; Thomas, S, Mathematical modeling of the effect of late administration of a novel acetylcysteine regimen based on the SNAP trial on hepatic glutathione regeneration and hepatocyte death following simulated acetaminophen overdose, Clinical Toxicology (Philadelphia, Pa.), vol. 55 no. 7 (January, 2017), pp. 753-754, TAYLOR & FRANCIS LTD
  11. Reed, MC; Best, J; Nijhout, HF, Mathematical models of neuromodulation and implications for neurology and psychiatry, edited by Erdi, P; Battacharya, B; Cochran, A (2017)
  12. Reed, MC; Lawley, S; Nijhout, HF, Spiracular fluttering increases oxygen uptake (2017)
  13. Reed, MC; Best, J; Nijhout, HF, Mathematical models of neuromodulation and implications for neurology and psychiatry, in Computational Neurology and Psychiatry, edited by Erdi, P; Bhattacharya, B; Cochran, A (2017), SPRINGER
  14. Lawley, SD; Best, JA; Reed, MC, Neurotransmitter concentrations in the presence of neural switching in one dimension, Discrete and Continuous Dynamical Systems Series B, vol. 21 no. 7 (September, 2016), pp. 2255-2273, American Institute of Mathematical Sciences (AIMS) [doi]  [abs]
  15. Samaranayake, S; Abdalla, A; Robke, R; Nijhout, HF; Reed, MC; Best, J; Hashemi, P, A voltammetric and mathematical analysis of histaminergic modulation of serotonin in the mouse hypothalamus., Journal of Neurochemistry, vol. 138 no. 3 (August, 2016), pp. 374-383 [doi]  [abs]
  16. Temamogullari, NE; Nijhout, HF; C Reed, M, Mathematical modeling of perifusion cell culture experiments on GnRH signaling., Mathematical Biosciences, vol. 276 (June, 2016), pp. 121-132 [doi]  [abs]
  17. Thanacoody, HKR; Nijhout, FH; Reed, MC; Thomas, SHL, Mathematical modelling of the effect of a high dose acetylcysteine regimen based on the SNAP trial on hepatic glutathione regeneration and hepatocyte death, Clinical Toxicology (Philadelphia, Pa.), vol. 54 no. 4 (January, 2016), pp. 494-494, TAYLOR & FRANCIS LTD
  18. Reed, MC; Nijhout, HF; Kurtz, T, Mathematical modeling of cell metabolism, in Encyclopedia of Applied and Computational Mathematics, edited by Engquist, B (2016), SPRINGER
  19. Reed, MC; Gamble, MV; Hall, MN; Nijhout, HF, Mathematical analysis of the regulation of competing methyltransferases., Bmc Systems Biology, vol. 9 (October, 2015), pp. 69 [doi]  [abs]
  20. Bilinsky, LM; Reed, MC; Nijhout, HF, The role of skeletal muscle in liver glutathione metabolism during acetaminophen overdose., Journal of Theoretical Biology, vol. 376 (July, 2015), pp. 118-133, ISSN 0022-5193 [doi]  [abs]
  21. Nijhout, HF; Best, JA; Reed, MC, Using mathematical models to understand metabolism, genes, and disease., Bmc Biology, vol. 13 (January, 2015), pp. 79 [doi]  [abs]
  22. Lawley, SD; Mattingly, JC; Reed, MC, Stochastic switching in infinite dimensions with applications to random parabolic PDE, Siam Journal on Mathematical Analysis, vol. 47 no. 4 (January, 2015), pp. 3035-3063, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410 [repository], [doi]  [abs]
  23. Reed, MC, Mathematical biology is good for mathematics, Notices of the American Mathematical Society, vol. 62 no. 10 (January, 2015), pp. 1172-1176, American Mathematical Society (AMS), ISSN 0002-9920 [doi]
  24. Nijhout, HF; Best, J; Reed, MC, Escape from homeostasis., Mathematical Biosciences, vol. 257 (November, 2014), pp. 104-110, ISSN 0025-5564 [doi]  [abs]
  25. Wood, KM; Zeqja, A; Nijhout, HF; Reed, MC; Best, J; Hashemi, P, Voltammetric and mathematical evidence for dual transport mediation of serotonin clearance in vivo., Journal of Neurochemistry, vol. 130 no. 3 (August, 2014), pp. 351-359, ISSN 0022-3042 [doi]  [abs]
  26. da Silva, VR; Ralat, MA; Quinlivan, EP; DeRatt, BN; Garrett, TJ; Chi, Y-Y; Frederik Nijhout, H; Reed, MC; Gregory, JF, Targeted metabolomics and mathematical modeling demonstrate that vitamin B-6 restriction alters one-carbon metabolism in cultured HepG2 cells., American Journal of Physiology. Endocrinology and Metabolism, vol. 307 no. 1 (July, 2014), pp. E93-101, ISSN 0193-1849 [doi]  [abs]
  27. Lawley, SD; Yun, J; Gamble, MV; Hall, MN; Reed, MC; Nijhout, HF, Mathematical modeling of the effects of glutathione on arsenic methylation., Theoretical Biology & Medical Modelling, vol. 11 (May, 2014), pp. 20 [doi]  [abs]
  28. Pujo-Menjouet, L; Reed, M; Nijhout, HF; Best, J, Projecting biochemistry over long distances, edited by Pujo-Menjouet, L, Mathematical Modelling of Natural Phenomena, vol. 9 no. 1 (February, 2014), pp. 133-138, E D P SCIENCES, ISSN 0973-5348 [doi]  [abs]
  29. Lawley, SD; Mattingly, JC; Reed, MC, Sensitivity to switching rates in stochastically switched ODEs, Communications in Mathematical Sciences, vol. 12 no. 7 (January, 2014), pp. 1343-1352, International Press of Boston, ISSN 1539-6746 [repository], [doi]  [abs]
  30. Nijhout, HF; Reed, MC, Homeostasis and dynamic stability of the phenotype: Implications for understanding the nature and evolution of robustness and plasticity, Integrative and Comparative Biology, vol. 54 no. 2 (January, 2014), pp. E153-E153, OXFORD UNIV PRESS INC, ISSN 1540-7063 [doi]  [abs]
  31. Rios-Avila, L; Nijhout, HF; Reed, MC; Sitren, HS; Gregory, JF, A mathematical model of tryptophan metabolism via the kynurenine pathway provides insights into the effects of vitamin B-6 deficiency, tryptophan loading, and induction of tryptophan 2,3-dioxygenase on tryptophan metabolites., The Journal of Nutrition, vol. 143 no. 9 (September, 2013), pp. 1509-1519 [23902960], [doi]  [abs]
  32. Duncan, TM; Reed, MC; Nijhout, HF, A population model of folate-mediated one-carbon metabolism., Nutrients, vol. 5 no. 7 (July, 2013), pp. 2457-2474 [23857220], [doi]  [abs]
  33. Duncan, TM; Reed, MC; Nijhout, HF, The relationship between intracellular and plasma levels of folate and metabolites in the methionine cycle: a model., Molecular Nutrition & Food Research, vol. 57 no. 4 (April, 2013), pp. 628-636, ISSN 1613-4125 [23143835], [doi]  [abs]
  34. Reed, MC; Nijhout, HF; Best, J, Computational studies of the role of serotonin in the basal ganglia., Frontiers in Integrative Neuroscience, vol. 7 no. MAY (January, 2013), pp. 41, ISSN 1662-5145 [doi]  [abs]
  35. Patel, M; Reed, M, Stimulus encoding within the barn owl optic tectum using gamma oscillations vs. spike rate: a modeling approach., Network: Computation in Neural Systems, vol. 24 no. 2 (January, 2013), pp. 52-74 [23406211], [doi]  [abs]
  36. Ben-Shachar, R; Chen, Y; Luo, S; Hartman, C; Reed, M; Nijhout, HF, The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model., Theoretical Biology & Medical Modelling, vol. 9 (December, 2012), pp. 55 [23249634], [doi]  [abs]
  37. Luo, S; Reed, M; Mattingly, JC; Koelle, K, The impact of host immune status on the within-host and population dynamics of antigenic immune escape., J R Soc Interface, vol. 9 no. 75 (October, 2012), pp. 2603-2613 [22572027], [doi]  [abs]
  38. Obeid, R; Hartmuth, K; Herrmann, W; Gortner, L; Rohrer, TR; Geisel, J; Reed, MC; Nijhout, HF, Blood biomarkers of methylation in Down syndrome and metabolic simulations using a mathematical model., Molecular Nutrition & Food Research, vol. 56 no. 10 (October, 2012), pp. 1582-1589 [22930479], [doi]  [abs]
  39. Geenen, S; du Preez, FB; Reed, M; Nijhout, HF; Kenna, JG; Wilson, ID; Westerhoff, HV; Snoep, JL, A mathematical modelling approach to assessing the reliability of biomarkers of glutathione metabolism., European Journal of Pharmaceutical Sciences : Official Journal of the European Federation for Pharmaceutical Sciences, vol. 46 no. 4 (July, 2012), pp. 233-243 [21888969], [doi]  [abs]
  40. Rios-Avila, L; Nijhout, HF; Reed, MC; Sitren, HS; Gregory, JF, Mathematical model gives insights into vitamin B6 and kynurenine metabolism, Faseb Journal, vol. 26 (April, 2012), pp. 1 pages, FEDERATION AMER SOC EXP BIOL
  41. Reed, MC; Nijhout, HF; Best, JA, Mathematical insights into the effects of levodopa., Frontiers in Integrative Neuroscience, vol. 6 (January, 2012), pp. 21 [22783173], [doi]  [abs]
  42. Mitchell, C; Reed, MC, Do Real Neurons Have Time Windows?, Journal of Computational Neuroscience (2012)
  43. Luo, S; Reed, M; Mattingly, J; Koelle, K, population dynamics of antigenic immune escape The impact of host immune status on the within-host and, J. Royal Soc. Interface, vol. (doi: 10.1098/rsif.2012.0180) (2012)
  44. Popovic, L; McKinley, SA; Reed, MC, A stochastic compartmental model for fast axonal transport, Siam Journal on Applied Mathematics, vol. 71 no. 4 (September, 2011), pp. 1531-1556, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [doi]  [abs]
  45. Neuhouser, ML; Nijhout, HF; Gregory, JF; Reed, MC; James, SJ; Liu, A; Shane, B; Ulrich, CM, Mathematical modeling predicts the effect of folate deficiency and excess on cancer-related biomarkers., Cancer Epidemiology, Biomarkers & Prevention : a Publication of the American Association for Cancer Research, Cosponsored by the American Society of Preventive Oncology, vol. 20 no. 9 (September, 2011), pp. 1912-1917 [21752986], [doi]  [abs]
  46. Lawley, SD; Cinderella, M; Hall, MN; Gamble, MV; Nijhout, HF; Reed, MC, Mathematical model insights into arsenic detoxification, Theoretical Biology & Medical Modelling, vol. 8 no. 1 (August, 2011), pp. 31-, ISSN 1742-4682 [doi]  [abs]
  47. Lawley, SD; Cinderella, M; Hall, MN; Gamble, MV; Nijhout, HF; Reed, MC, Mathematical model insights into arsenic detoxification., Theoretical Biology & Medical Modelling, vol. 8 (August, 2011), pp. 31 [21871107], [doi]  [abs]
  48. Best, J; Nijhout, HF; Reed, M, Bursts and the efficacy of selective serotonin reuptake inhibitors., Pharmacopsychiatry, vol. 44 Suppl 1 (May, 2011), pp. S76-S83 [21547871], [doi]  [abs]
  49. 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
  50. 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
  51. Reed, MC; Best, J; Nijhout, HF; Oakley, G, Mathematical models: Interactions between serotonion and dopamine in Parkinson's disease, in Etiology and Pathophysiology of Parkinson's Disease, edited by Rana, AQ (2011), pp. 405-420, InTech Pub.
  52. Reed, MC, Mathematical biology, in The Princeton Companion to Mathematics (July, 2010), pp. 837-848, ISBN 9780691118802
  53. Best, J; Reed, M; Nijhout, HF, Models of dopaminergic and serotonergic signaling., Pharmacopsychiatry, vol. 43 Suppl 1 (May, 2010), pp. S61-S66 [20480448], [doi]  [abs]
  54. Reed, MC; Lieb, A; Nijhout, HF, The biological significance of substrate inhibition: a mechanism with diverse functions., Bioessays, vol. 32 no. 5 (May, 2010), pp. 422-429 [20414900], [doi]  [abs]
  55. Rios-Avila, L; Nijhout, HF; Reed, MC; Sitren, HS; Gregory, JF, Mathematical model gives insights into vitamin B6 and kynurenine metabolism, Faseb Journal, vol. 24 (April, 2010)
  56. Best, J; Nijhout, HF; Reed, M, Serotonin synthesis, release and reuptake in terminals: a mathematical model., Theoretical Biology & Medical Modelling, vol. 7 (January, 2010), pp. 34 [20723248], [doi]  [abs]
  57. Reed, M; Lieb, A; Nijhout, HF, Biological Significance of Substrate Inhibition, Bioessays, vol. 32 no. 5 (2010), pp. 422-429 [20414900], [doi]  [abs]
  58. Howell, AS; Savage, NS; Johnson, SA; Bose, I; Wagner, AW; Zyla, TR; Nijhout, HF; Reed, MC; Goryachev, AB; Lew, DJ, Singularity in polarization: rewiring yeast cells to make two buds., Cell, vol. 139 no. 4 (November, 2009), pp. 731-743 [19914166], [doi]  [abs]
  59. Thomas, DC; Conti, DV; Baurley, J; Nijhout, F; Reed, M; Ulrich, CM, Use of pathway information in molecular epidemiology, Human Genomics, vol. 4 no. 1 (October, 2009), pp. 21-21, Springer Nature, ISSN 1479-7364 [doi]  [abs]
  60. Best, JA; Nijhout, HF; Reed, MC, Homeostatic mechanisms in dopamine synthesis and release: a mathematical model., Theoretical Biology & Medical Modelling, vol. 6 (September, 2009), pp. 21 [19740446], [doi]  [abs]
  61. Reed, MC; Best, J; Nijhout, HF, Passive and active stabilization of dopamine in the striatum, Bioscience Hypotheses, vol. 2 no. 4 (June, 2009), pp. 240-244, Elsevier BV, ISSN 1756-2392 [doi]  [abs]
  62. Nijhout, HF; Gregory, JF; Fitzpatrick, C; Cho, E; Lamers, KY; Ulrich, CM; Reed, MC, A mathematical model gives insights into the effects of vitamin B-6 deficiency on 1-carbon and glutathione metabolism., The Journal of Nutrition, vol. 139 no. 4 (April, 2009), pp. 784-791 [19244383], [doi]  [abs]
  63. 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 no. 1 (2009), pp. 21-42, ISSN 1479-7364 [doi]  [abs]
  64. Ulrich, CM; Reed, MC; Nijhout, HF, Modeling folate, one-carbon metabolism, and DNA methylation., Nutrition Reviews, vol. 66 Suppl 1 (August, 2008), pp. S27-S30 [18673484], [doi]
  65. Ulrich, CM; Neuhouser, M; Liu, AY; 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 & Prevention : a Publication of the American Association for Cancer Research, Cosponsored by the American Society of Preventive Oncology, vol. 17 no. 7 (July, 2008), pp. 1822-1831, ISSN 1055-9965 [18628437], [doi]  [abs]
  66. Reed, MC; Thomas, RL; Pavisic, J; James, SJ; Ulrich, CM; Nijhout, HF, A mathematical model of glutathione metabolism., Theoretical Biology & Medical Modelling, vol. 5 (April, 2008), pp. 8 [18442411], [doi]  [abs]
  67. Nijhout, HF; Reed, MC, A mathematical model for the regulation of juvenile hormone titers., Journal of Insect Physiology, vol. 54 no. 1 (January, 2008), pp. 255-264, ISSN 0022-1910 [18022634], [doi]  [abs]
  68. Nijhout, HF; Reed, MC; Ulrich, CM, Mathematical models of folate-mediated one-carbon metabolism., Vitamins and Hormones, vol. 79 (January, 2008), pp. 45-82, ISSN 0083-6729 [18804691], [doi]  [abs]
  69. M.C. Reed, Mathematical Biology, in The Princeton Companion to Mathematics (2008), Princeton University Press, Princeton
  70. Nijhout, HF; Reed, MC, A Mathematical Model for Juvenile Hormone Titers, Journal of Insect Physiology, vol. 54 no. 255-264 (2008)
  71. Reed, MC; Nijhout, HF; Ulrich, C, Mathematical Models of One-Carbon Metabolism, in Vitamins and Hormones, Volume 79, edited by Litvack, G, vol. 79 (2008), pp. 42-85, Elsevier
  72. Mitchell, C; Reed, M, Neural timing in highly convergent systems, Siam Journal on Applied Mathematics, vol. 68 no. 3 (December, 2007), pp. 720-737, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [doi]  [abs]
  73. Leduc, 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 no. 23 (December, 2007), pp. 8537-8545 [17890305], [doi]  [abs]
  74. Anderson, DF; Mattingly, JC; Nijhout, HF; Reed, MC, Propagation of fluctuations in biochemical systems, I: linear SSC networks., Bulletin of Mathematical Biology, vol. 69 no. 6 (August, 2007), pp. 1791-1813, Springer Nature, ISSN 0092-8240 [17457656], [doi]  [abs]
  75. Nijhout, HF; Reed, MC; Ulrich, CM, A day in the life of cell metabolism., Biological Theory (In Press), vol. 2 (2007), pp. 124-127
  76. Nijhout, HF; Reed, MC; Lam, S-L; Shane, B; Gregory, JF; Ulrich, CM, In silico experimentation with a model of hepatic mitochondrial folate metabolism., Theoretical Biology & Medical Modelling, vol. 3 (December, 2006), pp. 40 [17150100], [doi]  [abs]
  77. Boyles, AL; Billups, AV; Deak, KL; Siegel, DG; Mehltretter, L; Slifer, SH; Bassuk, AG; Kessler, JA; Reed, MC; Nijhout, HF; George, TM; Enterline, DS; Gilbert, JR; Speer, MC; NTD Collaborative Group,, Neural tube defects and folate pathway genes: family-based association tests of gene-gene and gene-environment interactions., Environmental Health Perspectives, vol. 114 no. 10 (October, 2006), pp. 1547-1552, ISSN 0091-6765 [17035141], [doi]  [abs]
  78. Reed, MC; Nijhout, HF; Neuhouser, ML; Gregory, JF; Shane, B; James, SJ; Boynton, A; Ulrich, CM, A mathematical model gives insights into nutritional and genetic aspects of folate-mediated one-carbon metabolism., The Journal of Nutrition, vol. 136 no. 10 (October, 2006), pp. 2653-2661, ISSN 0022-3166 [16988141], [doi]  [abs]
  79. Ulrich, CM; Nijhout, HF; Reed, MC, Mathematical modeling: epidemiology meets systems biology., Cancer Epidemiology, Biomarkers & Prevention : a Publication of the American Association for Cancer Research, Cosponsored by the American Society of Preventive Oncology, vol. 15 no. 5 (May, 2006), pp. 827-829, ISSN 1055-9965 [16702357], [doi]
  80. Laurent, T; Rider, B; Reed, M, Parabolic behavior of a hyperbolic delay equation, Siam Journal on Mathematical Analysis, vol. 38 no. 1 (March, 2006), pp. 1-15, ISSN 0036-1410 [doi]  [abs]
  81. Nijhout, HF; Reed, MC; Anderson, DF; Mattingly, JC; James, SJ; Ulrich, CM, Long-Range Allosteric Interactions between the Folate and Methionine Cycles Stabilize DNA Methylation Reaction Rate (vol 2, pg 81, 2006), Epigenetics, vol. 1 no. 3 (2006), pp. 115-115 [17998813], [doi]  [abs]
  82. Nijhout, HF; Reed, MC; Budu, P; Ulrich, CM, A mathematical model of the folate cycle: new insights into folate homeostasis., The Journal of Biological Chemistry, vol. 279 no. 53 (December, 2004), pp. 55008-55016, ISSN 0021-9258 [15496403], [doi]  [abs]
  83. Washington, TM; Blum, JJ; Reed, MC; Conn, PM, A mathematical model for LH release in response to continuous and pulsatile exposure of gonadotrophs to GnRH., Theoretical Biology & Medical Modelling, vol. 1 no. 9 (September, 2004), pp. 9 [doi]  [abs]
  84. Reed, MC, Why is mathematical biology so hard?, Notices of the American Mathematical Society, vol. 51 no. 3 (March, 2004), pp. 338, ISSN 0002-9920  [author's comments]
  85. Reed, MC; Nijhout, HF; Sparks, R; Ulrich, CM, A mathematical model of the methionine cycle., Journal of Theoretical Biology, vol. 226 no. 1 (January, 2004), pp. 33-43, ISSN 0022-5193 [14637052], [doi]  [abs]
  86. Reed, MC; Blum, JJ; Mitchell, CC, Precision of neural timing: effects of convergence and time-windowing., Journal of Computational Neuroscience, vol. 13 no. 1 (July, 2002), pp. 35-47, ISSN 0929-5313 [12154334], [doi]  [abs]
  87. Solodovnikov, A; Reed, MC, Robustness of a neural network model for differencing., Journal of Computational Neuroscience, vol. 11 no. 2 (September, 2001), pp. 165-173, ISSN 0929-5313 [11717532], [doi]  [abs]
  88. Blum, JJ; Reed, MC, Model calculations of time dependent responses to binaural stimuli in the dorsal nucleus of the lateral lemniscus., Hearing Research, vol. 149 no. 1-2 (November, 2000), pp. 77-90, ISSN 0378-5955 [11033248], [doi]  [abs]
  89. Blum, JJ; Reed, MC; Janovick, JA; Conn, PM, A mathematical model quantifying GnRH-induced LH secretion from gonadotropes., American Journal of Physiology. Endocrinology and Metabolism, vol. 278 no. 2 (February, 2000), pp. E263-E272, ISSN 0193-1849 [10662710], [doi]  [abs]
  90. Reed, MC; Blum, JJ, Model calculations of steady state responses to binaural stimuli in the dorsal nucleus of the lateral lemniscus., Hearing Research, vol. 136 no. 1-2 (October, 1999), pp. 13-28, ISSN 0378-5955 [10511620], [doi]  [abs]
  91. Blum, JJ; Reed, MC, Effects of wide band inhibitors in the dorsal cochlear nucleus. II. Model calculations of the responses to complex sounds., The Journal of the Acoustical Society of America, vol. 103 no. 4 (April, 1998), pp. 2000-2009, ISSN 0001-4966 [9566322], [doi]  [abs]
  92. Reed, MC; Blum, JJ, Model calculations of the effects of wide-band inhibitors in the dorsal cochlear nucleus., The Journal of the Acoustical Society of America, vol. 102 no. 4 (October, 1997), pp. 2238-2244, ISSN 0001-4966 [9348681], [doi]  [abs]
  93. Reed, MC; Blum, JJ, Envelope coding in the auditory brainstem, in Proc. Conference on Biomedical Simulation, edited by Anderson, JG; Katzper, M, Simulation in the Medical Sciences (January, 1997), pp. 182-187, SOC COMPUTER SIMULATION INT, ISBN 1-56555-105-2
  94. Reed, MC; Blum, J, Envelope coding in the Auditory Brainstem, in Proc. Conference on Biomedical Simulation, edited by Cellier, P (1997)
  95. Blum, JJ; Reed, MC; Davies, JM, A computational model for signal processing by the dorsal cochlear nucleus. II. Responses to broadband and notch noise., The Journal of the Acoustical Society of America, vol. 98 no. 1 (July, 1995), pp. 181-191, ISSN 0001-4966 [7608398], [doi]  [abs]
  96. Reed, MC; Blum, JJ, A computational model for signal processing by the dorsal cochlear nucleus. I. Responses to pure tones., The Journal of the Acoustical Society of America, vol. 97 no. 1 (January, 1995), pp. 425-438, ISSN 0001-4966 [7860824], [doi]  [abs]
  97. Reed, MC; Blum, J, Models of Axonal Transport: Applications to Understanding Certain Neuropathies, in Handbook of Neurotoxicology I: Basic Principles and Current Concepts (1994), Dekker
  98. Reed, MC; Blum, J, Mathematical Questions in Axonal Transport,, vol. 24 (1994), American Mathematical Society
  99. REED, MC, THE TRANSPORT OF MATERIALS IN NERVE AXONS, Molecular Biology of the Cell, vol. 3 (September, 1992), pp. A6-A6, AMER SOC CELL BIOLOGY
  100. Blum, JJ; Carr, DD; Reed, MC, Theoretical analysis of lipid transport in sciatic nerve., Biochimica Et Biophysica Acta, vol. 1125 no. 3 (May, 1992), pp. 313-320, ISSN 0006-3002 [1596520], [doi]  [abs]
  101. Blum, JJ; Reed, MC, Further studies of a model for azimuthal encoding: lateral superior olive neuron response curves and developmental processes., The Journal of the Acoustical Society of America, vol. 90 no. 4 Pt 1 (October, 1991), pp. 1968-1978, ISSN 0001-4966 [doi]  [abs]
  102. Reed, MC; Blum, JJ, A model for the computation and encoding of azimuthal information by the lateral superior olive., The Journal of the Acoustical Society of America, vol. 88 no. 3 (September, 1990), pp. 1442-1453, ISSN 0001-4966 [2229677], [doi]  [abs]
  103. Reed, MC; Venakides, S; Blum, JJ, Approximate traveling waves in linear reaction-hyperbolic equations, Siam Journal on Applied Mathematics, vol. 50 no. 1 (January, 1990), pp. 167-180, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  104. Reed, MC; Blum, J, Information Processing in the Auditory Brainstem, in Engineering Principles of Physiologic Function, edited by Schneck, D (1990), New York U. press
  105. Blum, JJ; Lawler, G; Reed, M; Shin, I, Effect of cytoskeletal geometry on intracellular diffusion., Biophysical Journal, vol. 56 no. 5 (November, 1989), pp. 995-1005, ISSN 0006-3495 [2605308], [doi]  [abs]
  106. Blum, JJ; Reed, MC, A model for slow axonal transport and its application to neurofilamentous neuropathies., Cell Motility and the Cytoskeleton, vol. 12 no. 1 (January, 1989), pp. 53-65, ISSN 0886-1544 [2468419], [doi]  [abs]
  107. Blum, JJ; Reed, MC, The transport of organelles in axons, Mathematical Biosciences, vol. 90 no. 1-2 (January, 1988), pp. 233-245, Elsevier BV, ISSN 0025-5564 [doi]  [abs]
  108. Reed, MC; Rauch, J, Bounded, stratified, and striated solutions of hyperbolic equations, in Nonlinear Partial Differential Equations and their Applications, Volume IX, edited by Brezis, H; Lions, J, vol. 181 (1988), John Wiley & Sons
  109. Rauch, J; Reed, MC, Nonlinear superposition and absorption of delta waves in one space dimension, Journal of Functional Analysis, vol. 73 no. 1 (January, 1987), pp. 152-178, Elsevier BV, ISSN 0022-1236 [doi]
  110. REED, MC; BLUM, JJ, A REACTION-HYPERBOLIC SYSTEM IN PHYSIOLOGY, in Non-linear Semigroups, Partial Differential Equations, and Attractors, edited by Gill, T; Zachary, W, Lecture Notes in Mathematics, vol. 1248 (January, 1987), pp. 134-141, Springer-Verlag
  111. RAUCH, J; REED, MC, ON THE ABSORPTION OF SINGULARITIES IN DISSIPATIVE NONLINEAR EQUATIONS, in Differential Equations and Mathematical Physics, edited by Knowles, I; Saito, Y, Lecture Notes in Mathematics, vol. 1285 (January, 1987), pp. 403-407, Springer-Verlag
  112. RAUCH, J; REED, MC, ULTRASINGULARITIES IN NONLINEAR-WAVES, Lecture Notes in Mathematics, vol. 1248 (January, 1987), pp. 127-133, Springer-Verlag
  113. Reed, MC; Blum, J, A reaction-hyperbolic system in Physiology, in Non-linear Semigroups, Partial Differential Equations, and Attractors, edited by Gill, T; Zachary, W, vol. 1248 (1987), pp. 127-133, SPRINGER
  114. Reed, MC; Rauch, J, On the absorption of singularities in dissipative nonlinear equations, in Differential Equations and Mathematical Physics, edited by Knowles, I; Saito, Y (1987), pp. 403-407, SPRINGER
  115. Reed, MC; Blum, JJ, Theoretical analysis of radioactivity profiles during fast axonal transport: effects of deposition and turnover., Cell Motility and the Cytoskeleton, vol. 6 no. 6 (January, 1986), pp. 620-627 [doi]  [abs]
  116. Blum, JJ; Reed, MC, A model for fast axonal transport., Cell Motility, vol. 5 no. 6 (January, 1985), pp. 507-527 [doi]  [abs]
  117. Rauch, J; Reed, MC, Discontinuous progressing waves for semilinear systems, Communications in Partial Differential Equations, vol. 10 no. 9 (January, 1985), pp. 1033-1075, Informa UK Limited [doi]
  118. Reed, MC; Rauch, J, Ultrasingularities in nonlinear waves, in Non-linear Semigroups, Partial Differential Equations, and Attractors, edited by Gill, T; Zachary, W, vol. 1248 (1985), pp. 134-141, SPRINGER
  119. Reed, MC, Geometry and Discrete Velocity Approximations to the Boltzmann Equation, in Differential Equations, edited by Knowles, I; Lewis, R, North-Holland Mathematics Studies, vol. 92 no. C (December, 1984), pp. 477-483, Elsevier, ISSN 0304-0208 [doi]
  120. Illner, R; Reed, MC, DECAY TO EQUILIBRIUM FOR THE CARLEMAN MODEL IN A BOX., Siam Journal on Applied Mathematics, vol. 44 no. 6 (January, 1984), pp. 1067-1075, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  121. Beals, M; Reed, M, Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems, Transactions of the American Mathematical Society, vol. 285 no. 1 (January, 1984), pp. 159-184, American Mathematical Society (AMS) [doi]  [abs]
  122. Reed, MC; Rauch, J, Geometric structures in the singularity theory of hyperbolic equations, in Advances in Nonlinear Waves, I, edited by Debnath, E (1984), pp. 273-280, Cambridge University Press
  123. Reed, MC, Geometry and discrete velocity approximations to the Boltzmann equation, in Differential Equations, edited by Knowles, I; Lewis, R (1984), North Holland
  124. Rauch, J; Reed, M, A general regularity theorem for semilinear hyperbolic waves in one space dimension, Bulletin of the American Mathematical Society, vol. 6 no. 3 (January, 1982), pp. 445-448, American Mathematical Society (AMS) [doi]
  125. Rauch, J; Reed, M, Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension, Duke Mathematical Journal, vol. 49 no. 2 (January, 1982), pp. 397-475, Duke University Press [doi]
  126. Beals, M; Reed, M, Propagation of singularities for hyperbolic pseudo differential operators with non‐smooth coefficients, Communications on Pure and Applied Mathematics, vol. 35 no. 2 (January, 1982), pp. 169-184, WILEY [doi]
  127. Rauch, J; Reed, MC, Propagation of singularities in non‐strictly hyperbolic semilinear systems: Examples, Communications on Pure and Applied Mathematics, vol. 35 no. 4 (January, 1982), pp. 555-565, WILEY [doi]
  128. Rauch, J; Reed, MC, Singularities Produced by the Nonlinear Interaction of Three Progressing Waves;Examples, Communications in Partial Differential Equations, vol. 7 no. 9 (January, 1982), pp. 1117-1133, Informa UK Limited [doi]
  129. Rauch, J; Reed, M, Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: Creation and propagation, Communications in Mathematical Physics, vol. 81 no. 2 (June, 1981), pp. 203-227, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  130. Illner, R; Reed, MC; Neunzert, H, The decay of solutions of the Carleman model, Mathematical Methods in the Applied Sciences, vol. 3 no. 1 (January, 1981), pp. 121-127, WILEY [doi]  [abs]
  131. Rauch, J; Reed, MC, Propagation of Singularities for Semilinear Hyperbolic Equations in One Space Variable, Annals of Mathematics, vol. 111 no. 3 (May, 1980), pp. 531-531, JSTOR [doi]
  132. Reed, MC; Berning, JA, Reflection of singularities of one-dimensional semilinear wave equations at boundaries, Journal of Mathematical Analysis and Applications, vol. 72 no. 2 (January, 1979), pp. 635-653, Elsevier BV, ISSN 0022-247X [doi]
  133. Reed, MC, Propagation of singularities for non-linear wave equations in one dimension, Communications in Partial Differential Equations, vol. 3 no. 2 (January, 1978), pp. 153-199, Informa UK Limited [doi]
  134. Reed, MC, Propagation of singularities in wave equations of Klein-Gordon type, in Non-linear Partial Differential Equations and Applications, edited by Chadam, J, vol. 648 (1978)
  135. Reed, MC, Propagation of singularities, in Many Degrees of Freedom in Particle Physics and Field Theory, edited by Streit, L (1978), Plenum Press
  136. Reed, M; Simon, B, The scattering of classical waves from inhomogeneous media, Mathematische Zeitschrift, vol. 155 no. 2 (June, 1977), pp. 163-180, Springer Nature, ISSN 0025-5874 [doi]  [abs]
  137. Reed, MC, Higher order estimates and smoothness of nonlinear wave equations, Proceedings of the American Mathematical Society, vol. 51 no. 1 (January, 1975), pp. 79-85, American Mathematical Society (AMS) [doi]  [abs]
  138. Reed, M; Rosen, L, Support properties of the free measure for Boson fields, Communications in Mathematical Physics, vol. 36 no. 2 (June, 1974), pp. 123-132, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  139. Rauch, J; Reed, M, Two examples illustrating the differences between classical and quantum mechanics, Communications in Mathematical Physics, vol. 29 no. 2 (June, 1973), pp. 105-111, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  140. Reed, M; Simon, B, Tensor products of closed operators on Banach spaces, Journal of Functional Analysis, vol. 13 no. 2 (January, 1973), pp. 107-124, Elsevier BV, ISSN 0022-1236 [doi]  [abs]
  141. Reed, MC; Simon, B, A spectral mapping theorem for tensor products of unbounded operators, Bulletin of the American Mathematical Society, vol. 78 no. 5 (January, 1972), pp. 730-733, American Mathematical Society (AMS) [doi]
  142. Herman, RH; Reed, MC, Covariant representations of infinite tensor product algebras, Pacific Journal of Mathematics, vol. 40 no. 2 (January, 1972), pp. 311-326, Mathematical Sciences Publishers [doi]  [abs]
  143. Reed, MC, Torus invariance for the Clifford algebra, II, Journal of Functional Analysis, vol. 8 no. 3 (January, 1971), pp. 450-468, Elsevier BV, ISSN 0022-1236 [doi]  [abs]
  144. Reed, MC, Torus invariance for the clifford algebra i, Transactions of the American Mathematical Society, vol. 154 (January, 1971), pp. 177-183, American Mathematical Society (AMS) [doi]  [abs]
  145. Reed, MC, On self-adjointness in infinite tensor product spaces, Journal of Functional Analysis, vol. 5 no. 1 (January, 1970), pp. 94-124, Elsevier BV, ISSN 0022-1236 [doi]
  146. Reed, MC, The GNS Construction--a pedagogical example, in Lectures on Elementary Particles and Quantum Field Theory (1970), pp. 415-438, M I T PRESS
  147. Reed, MC, A Gårding domain for quantum fields, Communications in Mathematical Physics, vol. 14 no. 4 (December, 1969), pp. 336-346, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  148. Reed, M, The damped self-interaction, Communications in Mathematical Physics, vol. 11 no. 4 (December, 1969), pp. 346-357, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  149. 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.
  150. Michael C. Reed and Lisa Durbeck, Delay Lines and Auditory Processing, Comments in Theoretical Biology, 3(1995), 441-461

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320