Math @ Duke

Books
 Reed, MC, Fundamental Ideas of Analysis
(1998), John Wiley & Sons
 Reed, MC; Simon, B, Methods of Modern Mathematical Physics III: Scattering Theory
(1979), Academic Press
 Reed, MC; Simon, B, Methods of Modern Mathematical Physics IV: Analysis of Operators
(1978), Academic Press
 Reed, MC, Abstract Nonlinear Wave Equations, vol. 507
(1976), SPRINGER
 Reed, MC; Simon, B, Methods of Modern Mathematical Physics II: Fourier Analysis, Selfadjointness
(1975), Academic Press
 Reed, MC; Simon, B, Methods of Modern Mathematical Physics I: Functional Analysis
(1972), Academic Press
Papers Published
 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]
 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. 5058 [doi] [abs]
 SadreMarandi, F; Dahdoul, T; Reed, MC; Nijhout, HF, Sex differences in hepatic onecarbon metabolism.,
Bmc Systems Biology, vol. 12 no. 1
(October, 2018),
pp. 89 [doi] [abs]
 Duncan, W; Best, J; Golubitsky, M; Nijhout, HF; Reed, M, Homeostasis despite instability.,
Mathematical Biosciences, vol. 300
(March, 2018),
pp. 130137 [doi] [abs]
 Suppiramaniam, V; Bloemer, J; Reed, M; Bhattacharya, S, Neurotransmitter Receptors,
in Comprehensive Toxicology: Third Edition, vol. 615
(December, 2017),
pp. 174201, Elsevier, ISBN 9780081006016 [doi] [abs]
 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]
 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. 25342557 [doi] [abs]
 Nijhout, HF; SadreMarandi, F; Best, J; Reed, MC, Systems Biology of Phenotypic Robustness and Plasticity.,
Integrative and Comparative Biology, vol. 57 no. 2
(August, 2017),
pp. 171184 [doi] [abs]
 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)
 Reed, MC; Lawley, S; Nijhout, HF, Spiracular fluttering increases oxygen uptake
(2017)
 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
 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
(2017),
pp. 753753
 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
(2017),
pp. 753754
 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. 22552273, American Institute of Mathematical Sciences (AIMS) [doi] [abs]
 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. 374383 [doi] [abs]
 Temamogullari, NE; Nijhout, HF; C Reed, M, Mathematical modeling of perifusion cell culture experiments on GnRH signaling.,
Mathematical Biosciences, vol. 276
(June, 2016),
pp. 121132 [doi] [abs]
 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
(2016),
pp. 494494
 Reed, MC; Nijhout, HF; Kurtz, T, Mathematical modeling of cell metabolism,
in Encyclopedia of Applied and Computational Mathematics, edited by Engquist, B
(2016), SPRINGER
 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]
 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. 118133, ISSN 00225193 [doi] [abs]
 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]
 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. 30353063, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361410 [repository], [doi] [abs]
 Reed, MC, Mathematical biology is good for mathematics,
Notices of the American Mathematical Society, vol. 62 no. 10
(January, 2015),
pp. 11721176, American Mathematical Society (AMS), ISSN 00029920 [doi]
 Nijhout, HF; Best, J; Reed, MC, Escape from homeostasis.,
Mathematical Biosciences, vol. 257
(November, 2014),
pp. 104110, ISSN 00255564 [doi] [abs]
 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. 351359, ISSN 00223042 [doi] [abs]
 da Silva, VR; Ralat, MA; Quinlivan, EP; DeRatt, BN; Garrett, TJ; Chi, YY; Frederik Nijhout, H; Reed, MC; Gregory, JF, Targeted metabolomics and mathematical modeling demonstrate that vitamin B6 restriction alters onecarbon metabolism in cultured HepG2 cells.,
American Journal of Physiology. Endocrinology and Metabolism, vol. 307 no. 1
(July, 2014),
pp. E93101, ISSN 01931849 [doi] [abs]
 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]
 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. 351359, ISSN 00223042 [doi] [abs]
 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
(2014),
pp. E153E153, ISSN 15407063 [doi] [abs]
 RiosAvila, 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 B6 deficiency, tryptophan loading, and induction of tryptophan 2,3dioxygenase on tryptophan metabolites.,
The Journal of Nutrition, vol. 143 no. 9
(September, 2013),
pp. 15091519 [23902960], [doi] [abs]
 Duncan, TM; Reed, MC; Nijhout, HF, A population model of folatemediated onecarbon metabolism.,
Nutrients, vol. 5 no. 7
(July, 2013),
pp. 24572474 [23857220], [doi] [abs]
 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
(2013),
pp. 5274 [23406211], [doi] [abs]
 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. 18, ISSN 16625145 [doi] [abs]
 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. 628636, ISSN 16134125 [23143835], [doi] [abs]
 BenShachar, 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
(2013),
pp. 55 [23249634], [doi] [abs]
 Luo, S; Reed, M; Mattingly, JC; Koelle, K, The impact of host immune status on the withinhost and population dynamics of antigenic immune escape.,
J R Soc Interface, vol. 9 no. 75
(October, 2012),
pp. 26032613 [22572027], [doi] [abs]
 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. 15821589 [22930479], [doi] [abs]
 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
(2012),
pp. 233243 [21888969], [doi] [abs]
 RiosAvila, 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)
 Luo, S; Reed, M; Mattingly, J; Koelle, K, population dynamics of antigenic immune escape The impact of host immune status on the withinhost and,
J. Royal Soc. Interface, vol. (doi: 10.1098/rsif.2012.0180)
(2012)
 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]
 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 cancerrelated 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. 19121917 [21752986], [doi] [abs]
 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 17424682 [doi] [abs]
 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]
 Best, J; Nijhout, HF; Reed, M, Bursts and the efficacy of selective serotonin reuptake inhibitors.,
Pharmacopsychiatry, vol. 44 Suppl 1
(May, 2011),
pp. S76S83 [21547871], [doi] [abs]
 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. 15311556, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361399 [doi] [abs]
 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. 117
 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. 405420, InTech Pub.
 Best, J; Nijhout, HF; Reed, M, Serotonin synthesis, release and reuptake in terminals: a mathematical model.,
Theoretical Biology & Medical Modelling, vol. 7
(August, 2010),
pp. 34 [20723248], [doi] [abs]
 Reed, MC, Mathematical biology,
in The Princeton Companion to Mathematics
(July, 2010),
pp. 837848, ISBN 9780691118802
 Best, J; Reed, M; Nijhout, HF, Models of dopaminergic and serotonergic signaling.,
Pharmacopsychiatry, vol. 43 Suppl 1
(May, 2010),
pp. S61S66 [20480448], [doi] [abs]
 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. 422429 [20414900], [doi] [abs]
 RiosAvila, 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)
 Reed, M; Lieb, A; Nijhout, HF, Biological Signiﬁcance of Substrate Inhibition,
BioEssays, vol. 32 no. 5
(2010),
pp. 422429 [20414900], [doi] [abs]
 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. 731743 [19914166], [doi] [abs]
 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]
 Reed, MC; Best, J; Nijhout, HF, Passive and active stabilization of dopamine in the striatum,
Bioscience Hypotheses, vol. 2 no. 4
(2009),
pp. 240244, Elsevier BV, ISSN 17562392 [doi] [abs]
 Nijhout, HF; Gregory, JF; Fitzpatrick, C; Cho, E; Lamers, KY; Ulrich, CM; Reed, MC, A mathematical model gives insights into the effects of vitamin B6 deficiency on 1carbon and glutathione metabolism.,
The Journal of Nutrition, vol. 139 no. 4
(April, 2009),
pp. 784791 [19244383], [doi] [abs]
 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. 2142, ISSN 14797364 [doi] [abs]
 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. 2121, Springer Nature, ISSN 14797364 [doi] [abs]
 Ulrich, CM; Reed, MC; Nijhout, HF, Modeling folate, onecarbon metabolism, and DNA methylation.,
Nutrition Reviews, vol. 66 Suppl 1
(August, 2008),
pp. S27S30 [18673484], [doi]
 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. 18221831, ISSN 10559965 [18628437], [doi] [abs]
 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]
 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. 255264, ISSN 00221910 [18022634], [doi] [abs]
 Nijhout, HF; Reed, MC; Ulrich, CM, Mathematical models of folatemediated onecarbon metabolism.,
Vitamins and Hormones, vol. 79
(January, 2008),
pp. 4582, ISSN 00836729 [18804691], [doi] [abs]
 M.C. Reed, Mathematical Biology,
in The Princeton Companion to Mathematics
(2008), Princeton University Press, Princeton
 Nijhout, HF; Reed, MC, A Mathematical Model for Juvenile Hormone Titers,
Journal of Insect Physiology, vol. 54 no. 255264
(2008)
 Reed, MC; Nijhout, HF; Ulrich, C, Mathematical Models of OneCarbon Metabolism,
in Vitamins and Hormones, Volume 79, edited by Litvack, G, vol. 79
(2008),
pp. 4285, Elsevier
 Mitchell, C; Reed, M, Neural timing in highly convergent systems,
Siam Journal on Applied Mathematics, vol. 68 no. 3
(2007),
pp. 720737, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361399 [doi] [abs]
 Leduc, D; Escartin, F; Nijhout, HF; Reed, MC; Liebl, U; Skouloubris, S; Myllykallio, H, Flavindependent thymidylate synthase ThyX activity: implications for the folate cycle in bacteria.,
Journal of Bacteriology, vol. 189 no. 23
(December, 2007),
pp. 85378545 [17890305], [doi] [abs]
 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. 17911813, Springer Nature, ISSN 00928240 [17457656], [doi] [abs]
 Nijhout, HF; Reed, MC; Ulrich, CM, A day in the life of cell metabolism.,
Biological Theory (in press), vol. 2
(2007),
pp. 124127
 Nijhout, HF; Reed, MC; Lam, SL; 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]
 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: familybased association tests of genegene and geneenvironment interactions.,
Environmental Health Perspectives, vol. 114 no. 10
(October, 2006),
pp. 15471552, ISSN 00916765 [17035141], [doi] [abs]
 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 folatemediated onecarbon metabolism.,
The Journal of Nutrition, vol. 136 no. 10
(October, 2006),
pp. 26532661, ISSN 00223166 [16988141], [doi] [abs]
 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. 827829, ISSN 10559965 [16702357], [doi]
 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. 115, ISSN 00361410 [doi] [abs]
 Nijhout, HF; Reed, MC; Anderson, DF; Mattingly, JC; James, SJ; Ulrich, CM, LongRange 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. 115115 [17998813], [doi] [abs]
 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. 5500855016, ISSN 00219258 [15496403], [doi] [abs]
 Reed, MC, Why is mathematical biology so hard?,
Notices of the American Mathematical Society, vol. 51 no. 3
(March, 2004),
pp. 338, ISSN 00029920 [author's comments]
 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. 3343, ISSN 00225193 [14637052] [abs]
 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. 117 [doi] [abs]
 Reed, MC; Blum, JJ; Mitchell, CC, Precision of neural timing: effects of convergence and timewindowing.,
Journal of Computational Neuroscience, vol. 13 no. 1
(July, 2002),
pp. 3547, ISSN 09295313 [12154334] [abs]
 Solodovnikov, A; Reed, MC, Robustness of a neural network model for differencing.,
Journal of Computational Neuroscience, vol. 11 no. 2
(2001),
pp. 165173, ISSN 09295313 [11717532] [abs]
 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. 12
(November, 2000),
pp. 7790, ISSN 03785955 [11033248] [abs]
 Blum, JJ; Reed, MC; Janovick, JA; Conn, PM, A mathematical model quantifying GnRHinduced LH secretion from gonadotropes.,
American Journal of Physiology. Endocrinology and Metabolism, vol. 278 no. 2
(2000),
pp. E263E272, ISSN 01931849 [10662710], [doi] [abs]
 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. 12
(October, 1999),
pp. 1328, ISSN 03785955 [10511620] [abs]
 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. 20002009, ISSN 00014966 [9566322] [abs]
 Reed, MC; Blum, JJ, Model calculations of the effects of wideband inhibitors in the dorsal cochlear nucleus.,
The Journal of the Acoustical Society of America, vol. 102 no. 4
(October, 1997),
pp. 22382244, ISSN 00014966 [9348681] [abs]
 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. 182187, ISBN 1565551052
 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. 181191, ISSN 00014966 [7608398] [abs]
 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. 425438, ISSN 00014966 [7860824] [abs]
 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
 Reed, MC; Blum, J, Mathematical Questions in Axonal Transport,, vol. 24
(1994), American Mathematical Society
 REED, MC, THE TRANSPORT OF MATERIALS IN NERVE AXONS,
Molecular Biology of the Cell, vol. 3
(September, 1992),
pp. A6A6
 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. 313320, ISSN 00063002 [1596520] [abs]
 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. 19681978, ISSN 00014966 [doi] [abs]
 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. 14421453, ISSN 00014966 [2229677] [abs]
 Reed, MC; Venakides, S; Blum, JJ, Approximate traveling waves in linear reactionhyperbolic equations,
Siam Journal on Applied Mathematics, vol. 50 no. 1
(January, 1990),
pp. 167180, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 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
 Blum, JJ; Lawler, G; Reed, M; Shin, I, Effect of cytoskeletal geometry on intracellular diffusion.,
Biophysical Journal, vol. 56 no. 5
(November, 1989),
pp. 9951005, ISSN 00063495 [2605308], [doi] [abs]
 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. 5365, ISSN 08861544 [2468419], [doi] [abs]
 Blum, JJ; Reed, MC, The transport of organelles in axons,
Mathematical Biosciences, vol. 90 no. 12
(January, 1988),
pp. 233245, Elsevier BV, ISSN 00255564 [doi] [abs]
 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
 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. 152178, Elsevier BV, ISSN 00221236 [doi]
 REED, MC; BLUM, JJ, A REACTIONHYPERBOLIC SYSTEM IN PHYSIOLOGY,
in Nonlinear Semigroups, Partial Differential Equations, and Attractors, edited by Gill, T; Zachary, W,
Lecture Notes in Mathematics, vol. 1248
(1987),
pp. 134141, SPRINGER
 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. 403407, SPRINGER
 RAUCH, J; REED, MC, ULTRASINGULARITIES IN NONLINEARWAVES,
Lecture Notes in Mathematics, vol. 1248
(1987),
pp. 127133
 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. 620627
 Rauch, J; Reed, MC, Discontinuous progressing waves for semilinear systems,
Communications in Partial Differential Equations, vol. 10 no. 9
(January, 1985),
pp. 10331075, Informa UK Limited [doi]
 Blum, JJ; Reed, MC, A model for fast axonal transport,
Cell Motility, vol. 5 no. 6
(1985),
pp. 507527
 Reed, MC; Rauch, J, Ultrasingularities in nonlinear waves,
in Nonlinear Semigroups, Partial Differential Equations, and Attractors, edited by Gill, T; Zachary, W, vol. 1248
(1985),
pp. 134141, SPRINGER
 Reed, MC, Geometry and Discrete Velocity Approximations to the Boltzmann Equation,
in Differential Equations, edited by Knowles, I; Lewis, R,
NorthHolland Mathematics Studies, vol. 92 no. C
(December, 1984),
pp. 477483, Elsevier, ISSN 03040208 [doi]
 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. 10671075, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 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. 159184, American Mathematical Society (AMS) [doi] [abs]
 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. 273280, Cambridge University Press
 Reed, MC, Geometry and discrete velocity approximations to the Boltzmann equation,
in Differential Equations, edited by Knowles, I; Lewis, R
(1984), North Holland
 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. 445448, American Mathematical Society (AMS) [doi]
 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. 397475, Duke University Press [doi]
 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. 169184, WILEY [doi]
 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. 555565, WILEY [doi]
 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. 11171133, Informa UK Limited [doi]
 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. 203227, Springer Nature, ISSN 00103616 [doi] [abs]
 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. 121127, WILEY [doi] [abs]
 RAUCH, J; REED, MC, PROPAGATION OF SINGULARITIES FOR SEMILINEAR HYPERBOLICEQUATIONS IN ONE SPACE VARIABLE,
Annals of Mathematics, vol. 111 no. 3
(1980),
pp. 531552 [doi]
 Reed, MC; Berning, JA, Reflection of singularities of onedimensional semilinear wave equations at boundaries,
Journal of Mathematical Analysis and Applications, vol. 72 no. 2
(January, 1979),
pp. 635653, Elsevier BV, ISSN 0022247X [doi]
 Reed, MC, Propagation of singularities for nonlinear wave equations in one dimension,
Communications in Partial Differential Equations, vol. 3 no. 2
(January, 1978),
pp. 153199, Informa UK Limited [doi]
 Reed, MC, Propagation of singularities in wave equations of KleinGordon type,
in Nonlinear Partial Differential Equations and Applications, edited by Chadam, J, vol. 648
(1978)
 Reed, MC, Propagation of singularities,
in Many Degrees of Freedom in Particle Physics and Field Theory, edited by Streit, L
(1978), Plenum Press
 Reed, M; Simon, B, The scattering of classical waves from inhomogeneous media,
Mathematische Zeitschrift, vol. 155 no. 2
(June, 1977),
pp. 163180, Springer Nature, ISSN 00255874 [doi] [abs]
 REED, MC, CONSTRUCTION OF SCATTERING OPERATOR FOR ABSTRACT NONLINEARWAVE EQUATIONS,
Indiana University Mathematics Journal, vol. 25 no. 11
(1976),
pp. 10171027 [doi]
 Reed, MC, Higher order estimates and smoothness of nonlinear wave equations,
Proceedings of the American Mathematical Society, vol. 51 no. 1
(January, 1975),
pp. 7985, American Mathematical Society (AMS) [doi] [abs]
 Reed, M; Rosen, L, Support properties of the free measure for Boson fields,
Communications in Mathematical Physics, vol. 36 no. 2
(June, 1974),
pp. 123132, Springer Nature, ISSN 00103616 [doi] [abs]
 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. 105111, Springer Nature, ISSN 00103616 [doi] [abs]
 Reed, M; Simon, B, Tensor products of closed operators on Banach spaces,
Journal of Functional Analysis, vol. 13 no. 2
(January, 1973),
pp. 107124, Elsevier BV, ISSN 00221236 [doi] [abs]
 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. 730733, American Mathematical Society (AMS) [doi]
 Herman, RH; Reed, MC, Covariant representations of infinite tensor product algebras,
Pacific Journal of Mathematics, vol. 40 no. 2
(January, 1972),
pp. 311326, Mathematical Sciences Publishers [doi] [abs]
 Reed, MC, Torus invariance for the Clifford algebra, II,
Journal of Functional Analysis, vol. 8 no. 3
(January, 1971),
pp. 450468, Elsevier BV, ISSN 00221236 [doi] [abs]
 Reed, MC, Torus invariance for the clifford algebra i,
Transactions of the American Mathematical Society, vol. 154
(January, 1971),
pp. 177183, American Mathematical Society (AMS) [doi] [abs]
 Reed, MC, On selfadjointness in infinite tensor product spaces,
Journal of Functional Analysis, vol. 5 no. 1
(January, 1970),
pp. 94124, Elsevier BV, ISSN 00221236 [doi]
 Reed, MC, The GNS Constructiona pedagogical example,
in Lectures on Elementary Particles and Quantum Field Theory
(1970),
pp. 415438, M I T PRESS
 Reed, MC, A Gårding domain for quantum fields,
Communications in Mathematical Physics, vol. 14 no. 4
(December, 1969),
pp. 336346, Springer Nature, ISSN 00103616 [doi] [abs]
 Reed, M, The damped selfinteraction,
Communications in Mathematical Physics, vol. 11 no. 4
(December, 1969),
pp. 346357, Springer Nature, ISSN 00103616 [doi] [abs]
 Jacob J. Blum, Michael C. Reed, Jo Ann Janovick and M. Conn, A Mathematical Model for Quantitaion of GonadotropinReleasing Hormone Stimulation of Luteinizing Hormone Secretion for Gonadotropes,
Amer. J. Physiol. Endocrinol. Metab. 278 (2000), 263272.
 Michael C. Reed and Lisa Durbeck, Delay Lines and Auditory Processing,
Comments in Theoretical Biology, 3(1995), 441461
Papers Accepted
 PujoMenjouet, L; Reed, M; Nijhout, HF; Best, J, Projecting biochemistry over long distances, edited by PujoMenjouet, L,
Mathematical Modelling of Natural Phenomena, vol. 9 no. 1
(February, 2014),
pp. 133138, E D P SCIENCES, ISSN 09735348 [doi] [abs]
Papers Submitted
 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. 13431352, International Press of Boston, ISSN 15396746 [repository], [doi] [abs]


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ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
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