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Math @ Duke





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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. 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]
  2. 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)
  3. Reed, MC; Lawley, S; Nijhout, HF, Spiracular fluttering increases oxygen uptake (2017)
  4. 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
  5. 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]
  6. 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 (August, 2016), pp. 2255-2273 [doi]
  7. 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]
  8. 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, vol. 54 no. 4 (2016), pp. 494-494
  9. Reed, MC; Nijhout, HF; Kurtz, T, Mathematical modeling of cell metabolism, in Encyclopedia of Applied and Computational Mathematics, edited by Engquist, B (2016), Springer
  10. Reed, MC, Mathematical Biology is Good for Mathematics, Notices of the American Mathematical Society, vol. 62 no. 10 (November, 2015), pp. 1172-1176, ISSN 0002-9920 [doi]
  11. 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]
  12. 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]
  13. 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]
  14. 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, ISSN 0036-1410 [repository], [doi]
  15. Nijhout, HF; Best, J; Reed, MC, Escape from homeostasis., Mathematical Biosciences, vol. 257 (November, 2014), pp. 104-110, ISSN 0025-5564 [doi]  [abs]
  16. 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]
  17. 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]
  18. Lawley, SD; Yun, J; Gamble, MV; Hall, MN; Reed, MC; Nijhout, HF, Mathematical modeling of the effects of glutathione on arsenic methylation., Theoretical Biology and Medical Modelling, vol. 11 (May, 2014), pp. 20 [doi]  [abs]
  19. 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 (January, 2014), pp. 351-359, ISSN 0022-3042 [doi]  [abs]
  20. 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 (BioOne), vol. 54 no. 2 (2014), pp. E153-E153, ISSN 1540-7063 [doi]  [abs]
  21. 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]
  22. 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]
  23. Best, J; Reed, MC; Nijhout, HF, Computational studies of the role of serotonin in the basal ganglia, Frontiers in Integrative Neuroscience, vol. 7 no. MAY (2013), pp. 1-8, ISSN 1662-5145 [doi]  [abs]
  24. 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 (Informa), vol. 24 no. 2 (2013), pp. 52-74 [23406211], [doi]  [abs]
  25. 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 (2013), pp. 628-636, ISSN 1613-4125 [23143835], [doi]  [abs]
  26. 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 and Medical Modelling, vol. 9 (2013), pp. 55 [23249634], [doi]  [abs]
  27. 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., Journal of the Royal Society Interface, vol. 9 no. 75 (October, 2012), pp. 2603-2613 [22572027], [doi]  [abs]
  28. 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]
  29. 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, vol. 46 no. 4 (2012), pp. 233-243 [21888969], [doi]  [abs]
  30. Rios-Avila, L; Nijhout, HF; Reed, MC; Sitren, HS; Gregory, JF, Mathematical model gives insights into vitamin B6 and kynurenine metabolism, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 26 (April, 2012)
  31. 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)
  32. Reed, MC; Nijhout, HF; Best, JA, Mathematical insights into the effects of levodopa., Frontiers in Integrative Neuroscience, vol. 6 (2012), pp. 21 [22783173], [doi]  [abs]
  33. 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]
  34. Lawley, SD; Cinderella, M; Hall, MN; Gamble, MV; Nijhout, HF; Reed, MC, Mathematical model insights into arsenic detoxification., Theoretical Biology and Medical Modelling, vol. 8 (August, 2011), pp. 31 [21871107], [doi]  [abs]
  35. 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]
  36. 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
  37. 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
  38. Lawley, SD; Cinderella, M; Hall, MN; Gamble, MV; Nijhout, HF; Reed, MC, Mathematical model insights into arsenic detoxification., Theoretical Biology and Medical Modelling, vol. 8 (2011), pp. 31-, ISSN 1742-4682 [doi]  [abs]
  39. Popovic, L; McKinley, SA; Reed, MC, A stochastic compartmental model for fast axonal transport, SIAM Journal on Applied Mathematics, vol. 71 no. 4 (2011), pp. 1531-1556, ISSN 0036-1399 [doi]  [abs]
  40. 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.
  41. Best, J; Nijhout, HF; Reed, M, Serotonin synthesis, release and reuptake in terminals: a mathematical model., Theoretical Biology and Medical Modelling, vol. 7 (August, 2010), pp. 34 [20723248], [doi]  [abs]
  42. Reed, MC, Mathematical biology, in The Princeton Companion to Mathematics (July, 2010), pp. 837-848, ISBN 9781400830398
  43. 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]
  44. 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]
  45. Rios-Avila, L; Nijhout, HF; Reed, MC; Sitren, HS; Gregory, JF, Mathematical model gives insights into vitamin B6 and kynurenine metabolism, The FASEB journal : official publication of the Federation of American Societies for Experimental Biology, vol. 24 (April, 2010)
  46. Reed, M; Lieb, A; Nijhout, HF, Biological Significance of Substrate Inhibition, BioEssays, vol. 32 no. 5 (2010), pp. 422-429 [20414900], [doi]  [abs]
  47. 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]
  48. Best, JA; Nijhout, HF; Reed, MC, Homeostatic mechanisms in dopamine synthesis and release: a mathematical model., Theoretical Biology and Medical Modelling, vol. 6 (September, 2009), pp. 21 [19740446], [doi]  [abs]
  49. 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]
  50. 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]
  51. Reed, MC; Best, J; Nijhout, HF, Passive and active stabilization of dopamine in the striatum, Bioscience Hypotheses, vol. 2 no. 4 (2009), pp. 240-244, ISSN 1756-2392 [doi]  [abs]
  52. 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 (2009), pp. 21-42, ISSN 1479-7364 [doi]  [abs]
  53. 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]
  54. 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]
  55. Reed, MC; Thomas, RL; Pavisic, J; James, SJ; Ulrich, CM; Nijhout, HF, A mathematical model of glutathione metabolism., Theoretical Biology and Medical Modelling, vol. 5 (April, 2008), pp. 8 [18442411], [doi]  [abs]
  56. 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]
  57. M.C. Reed, Mathematical Biology, in The Princeton Companion to Mathematics (2008), Princeton University Press, Princeton
  58. Nijhout, HF; Reed, MC; Ulrich, CM, Mathematical models of folate-mediated one-carbon metabolism., Vitamins and hormones, vol. 79 (2008), pp. 45-82, ISSN 0083-6729 [18804691], [doi]  [abs]
  59. Nijhout, HF; Reed, MC, A Mathematical Model for Juvenile Hormone Titers, Journal of Insect Physiology, vol. 54 no. 255-264 (2008)
  60. 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
  61. 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]
  62. 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, ISSN 0092-8240 [17457656], [doi]  [abs]
  63. Nijhout, HF; Reed, MC; Ulrich, CM, A day in the life of cell metabolism., Biological Theory (in press), vol. 2 (2007), pp. 124-127
  64. Mitchell, C; Reed, M, Neural timing in highly convergent systems, SIAM Journal on Applied Mathematics, vol. 68 no. 3 (2007), pp. 720-737, ISSN 0036-1399 [doi]  [abs]
  65. 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 and Medical Modelling, vol. 3 (December, 2006), pp. 40 [17150100], [doi]  [abs]
  66. 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]  [abs]
  67. 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]  [abs]
  68. 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]
  69. Laurent, T; Rider, B; Reed, M, Parabolic behavior of a hyperbolic delay equation, SIAM Journal on Mathematical Analysis, vol. 38 no. 1 (2006), pp. 1-15, ISSN 0036-1410 [doi]  [abs]
  70. 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 : official journal of the DNA Methylation Society, vol. 1 no. 3 (2006), pp. 115-115 [17998813]  [abs]
  71. 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]
  72. Reed, MC; Nijhout, HF; Sparks, R; Ulrich, CM, A mathematical model of the methionine cycle., Journal of Theoretical Biology, vol. 226 no. 1 (2004), pp. 33-43, ISSN 0022-5193 [14637052]  [abs]
  73. 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 and Medical Modelling, vol. 1 no. 9 (2004), pp. 1-17 [doi]  [abs]
  74. 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]
  75. 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]  [abs]
  76. Solodovnikov, A; Reed, MC, Robustness of a neural network model for differencing., Journal of Computational Neuroscience, vol. 11 no. 2 (2001), pp. 165-173, ISSN 0929-5313 [11717532]  [abs]
  77. 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]  [abs]
  78. 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 (2000), pp. E263-E272, ISSN 0193-1849 [10662710]  [abs]
  79. 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]  [abs]
  80. 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]  [abs]
  81. 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]  [abs]
  82. Reed, MC; Blum, JJ, Envelope coding in the auditory brainstem, in Proc. Conference on Biomedical Simulation, edited by Cellier, P, SIMULATION IN THE MEDICAL SCIENCES (1997), pp. 182-187, ISBN 1-56555-105-2
  83. 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]  [abs]
  84. 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]  [abs]
  85. 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
  86. Reed, MC; Blum, J, Mathematical Questions in Axonal Transport,, vol. 24 (1994), American Mathematical Society
  87. REED, MC, THE TRANSPORT OF MATERIALS IN NERVE AXONS, Molecular Biology of the Cell, vol. 3 (September, 1992), pp. A6-A6
  88. Blum, JJ; Carr, DD; Reed, MC, Theoretical analysis of lipid transport in sciatic nerve., Biochimica et Biophysica Acta: international journal of biochemistry and biophysics, vol. 1125 no. 3 (May, 1992), pp. 313-320, ISSN 0006-3002 [1596520]  [abs]
  89. 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 I (1991), pp. 1968-1978, ISSN 0001-4966 [doi]  [abs]
  90. 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]  [abs]
  91. Reed, MC; Venakides, S; Blum, JJ, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM Journal on Applied Mathematics, vol. 50 no. 1 (1990), pp. 167-180  [abs]
  92. 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
  93. 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]
  94. 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 (1989), pp. 53-65, ISSN 0886-1544 [2468419], [doi]  [abs]
  95. Blum, JJ; Reed, MC, The transport of organelles in axons, Mathematical Biosciences, vol. 90 no. 1-2 (1988), pp. 233-245, ISSN 0025-5564 [doi]  [abs]
  96. 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
  97. Rauch, J; Reed, MC, Nonlinear superposition and absorption of delta waves in one space dimension, Journal of Functional Analysis, vol. 73 no. 1 (1987), pp. 152-178, ISSN 0022-1236 [doi]
  98. 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 (1987), pp. 134-141, Springer
  99. 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 (1987), pp. 403-407, Springer
  100. RAUCH, J; REED, MC, ULTRASINGULARITIES IN NONLINEAR-WAVES, Lecture Notes in Mathematics, vol. 1248 (1987), pp. 127-133
  101. 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 (1986), pp. 620-627
  102. Blum, JJ; Reed, MC, A model for fast axonal transport, Cell Motility, vol. 5 no. 6 (1985), pp. 507-527
  103. 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
  104. RAUCH, J; REED, MC, DISCONTINUOUS PROGRESSING WAVES FOR SEMILINEAR SYSTEMS, Communications in Partial Differential Equations, vol. 10 no. 9 (1985), pp. 1033-1075 [doi]
  105. 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. 159-159 [doi]
  106. 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 (1984), pp. 477-483, North Holland, ISSN 0304-0208 [doi]
  107. Illner, R; Reed, MC, DECAY TO EQUILIBRIUM FOR THE CARLEMAN MODEL IN A BOX., SIAM Journal on Applied Mathematics, vol. 44 no. 6 (1984), pp. 1067-1075  [abs]
  108. 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
  109. 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 (May, 1982), pp. 445-449 [doi]
  110. 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 [doi]
  111. RAUCH, J; REED, MC, PROPAGATION OF SINGULARITIES IN NON-STRICTLY HYPERBOLIC SEMI-LINEAR SYSTEMS - EXAMPLES, Communications on Pure & Applied Mathematics, vol. 35 no. 4 (1982), pp. 555-565 [doi]
  112. RAUCH, J; REED, MC, SINGULARITIES PRODUCED BY THE NON-LINEAR INTERACTION OF 3 PROGRESSING WAVES - EXAMPLES, Communications in Partial Differential Equations, vol. 7 no. 9 (1982), pp. 1117-1133 [doi]
  113. 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 (1981), pp. 203-227, ISSN 0010-3616 [doi]  [abs]
  114. Illner, R; Reed, MC; Neunzert, H, The decay of solutions of the Carleman model, Mathematical Methods in the Applied Sciences, vol. 3 no. 1 (1981), pp. 121-127 [doi]
  115. RAUCH, J; REED, MC, PROPAGATION OF SINGULARITIES FOR SEMI-LINEAR HYPERBOLIC-EQUATIONS IN ONE SPACE VARIABLE, Annals of Mathematics, vol. 111 no. 3 (1980), pp. 531-552 [doi]
  116. Reed, MC; Jr, JAB, Reflection of singularities of one-dimensional semilinear wave equations at boundaries, Journal of Mathematical Analysis and Applications, vol. 72 no. 2 (1979), pp. 635-653, ISSN 0022-247X
  117. 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 [doi]
  118. 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)
  119. Reed, MC, Propagation of singularities, in Many Degrees of Freedom in Particle Physics and Field Theory, edited by Streit, L (1978), Plenum Press
  120. Reed, M; Simon, B, The scattering of classical waves from inhomogeneous media, Mathematische Zeitschrift, vol. 155 no. 2 (1977), pp. 163-180, ISSN 0025-5874 [doi]  [abs]
  121. REED, MC, CONSTRUCTION OF SCATTERING OPERATOR FOR ABSTRACT NONLINEAR-WAVE EQUATIONS, Indiana University Mathematics Journal, vol. 25 no. 11 (1976), pp. 1017-1027 [doi]
  122. Reed, MC, Higher order estimates and smoothness of nonlinear wave equations, Proceedings of the American Mathematical Society, vol. 51 no. 1 (January, 1975), pp. 79-79 [doi]
  123. Reed, M; Rosen, L, Support properties of the free measure for Boson fields, Communications in Mathematical Physics, vol. 36 no. 2 (1974), pp. 123-132, ISSN 0010-3616 [doi]  [abs]
  124. Rauch, J; Reed, M, Two examples illustrating the differences between classical and quantum mechanics, Communications in Mathematical Physics, vol. 29 no. 2 (1973), pp. 105-111, ISSN 0010-3616 [doi]  [abs]
  125. Reed, M; Simon, B, Tensor products of closed operators on Banach spaces, Journal of Functional Analysis, vol. 13 no. 2 (1973), pp. 107-124, ISSN 0022-1236  [abs]
  126. Reed, MC; Simon, B, A spectral mapping theorem for tensor products of unbounded operators, vol. 78 no. 5 (September, 1972), pp. 730-734 [doi]
  127. Reed, MC, Torus invariance for the Clifford algebra, II, Journal of Functional Analysis, vol. 8 no. 3 (1971), pp. 450-468, ISSN 0022-1236  [abs]
  128. Reed, MC, On self-adjointness in infinite tensor product spaces, Journal of Functional Analysis, vol. 5 no. 1 (1970), pp. 94-124, ISSN 0022-1236
  129. Reed, MC, The GNS Construction--a pedagogical example, in Lectures on Elementary Particles and Quantum Field Theory (1970), pp. 415-438, MIT Press
  130. Reed, MC, A Gårding domain for quantum fields, Communications in Mathematical Physics, vol. 14 no. 4 (1969), pp. 336-346, ISSN 0010-3616 [doi]  [abs]
  131. Reed, M, The damped self-interaction, Communications in Mathematical Physics, vol. 11 no. 4 (1969), pp. 346-357, ISSN 0010-3616 [doi]  [abs]
  132. 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.
  133. Michael C. Reed and Lisa Durbeck, Delay Lines and Auditory Processing, Comments in Theoretical Biology, 3(1995), 441-461

Papers Accepted

  1. Reed, M; Nijhout, HF; Best, J, Projecting Biochemistry Over Long Distances, edited by Pujo-Menjouet, L, Mathematical Modelling of Natural Phenomena (MMNP), vol. 9 no. 1 (2014), pp. 133-138, ISSN 0973-5348 [doi]

Papers Submitted

  1. Lawley, SD; Mattingly, JC; Reed, MC, Sensitivity to switching rates in stochastically switched odes, Communications in Mathematical Sciences, vol. 12 no. 7 (2014), pp. 1343-1352, ISSN 1539-6746 [repository], [doi]

 

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