Publications of Michael C. Reed
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 Non-linear Wave Equations, vol. 507
(1976), Springer
- Reed, MC; Simon, B, Methods of Modern Mathematical Physics II: Fourier Analysis, Self-adjointness
(1975), Academic Press
- Reed, MC; Simon, B, Methods of Modern Mathematical Physics I: Functional Analysis
(1972), Academic press
Papers Published
- Mena, S; Cruikshank, A; Best, J; Nijhout, HF; Reed, MC; Hashemi, P, Modulation of serotonin transporter expression by escitalopram under inflammation.,
Communications biology, vol. 7 no. 1
(June, 2024),
pp. 710
- Buchanan, AM; Mena, S; Choukari, I; Vasa, A; Crawford, JN; Fadel, J; Maxwell, N; Reagan, L; Cruikshank, A; Best, J; Nijhout, HF; Reed, M; Hashemi, P, Serotonin as a biomarker of toxin-induced Parkinsonism.,
Molecular medicine (Cambridge, Mass.), vol. 30 no. 1
(March, 2024),
pp. 33
- Cruikshank, A; Reed, MC; Frederik Nijhout, H, Sex differences in glutathione metabolism and acetaminophen toxicity,
Metabolism and Target Organ Damage, vol. 4 no. 2
(January, 2024)
- Suzuki, A; Henao, R; Reed, MC; Nijhout, HF; Tripathi, M; Singh, BK; Yen, PM; Diehl, AM; Abdelmalek, MF, Lower hepatic CBS and PEMT expression in advanced NAFLD: inferencing strategies to lower homocysteine with a mathematical model,
Metabolism and Target Organ Damage, vol. 4 no. 3
(January, 2024)
- Cruikshank, A; Nijhout, HF; Best, J; Reed, M, Dynamical questions in volume transmission.,
Journal of biological dynamics, vol. 17 no. 1
(December, 2023),
pp. 2269986
- Witt, CE; Mena, S; Holmes, J; Hersey, M; Buchanan, AM; Parke, B; Saylor, R; Honan, LE; Berger, SN; Lumbreras, S; Nijhout, FH; Reed, MC; Best, J; Fadel, J; Schloss, P; Lau, T; Hashemi, P, Serotonin is a common thread linking different classes of antidepressants.,
Cell chemical biology, vol. 30 no. 12
(December, 2023),
pp. 1557-1570.e6
- Witt, CE; Mena, S; Holmes, J; Hersey, M; Buchanan, AM; Parke, B; Saylor, R; Honan, LE; Berger, SN; Lumbreras, S; Nijhout, FH; Reed, MC; Best, J; Fadel, J; Schloss, P; Lau, T; Hashemi, P, Serotonin is a Common Thread Linking Different Classes of Antidepressants.,
Res Sq
(March, 2023)
- Kim, R; Nijhout, HF; Reed, MC, Mathematical insights into the role of dopamine signaling in circadian entrainment.,
Mathematical biosciences, vol. 356
(February, 2023),
pp. 108956
- Berger, SN; Baumberger, B; Samaranayake, S; Hersey, M; Mena, S; Bain, I; Duncan, W; Reed, MC; Nijhout, HF; Best, J; Hashemi, P, An In Vivo Definition of Brain Histamine Dynamics Reveals Critical Neuromodulatory Roles for This Elusive Messenger.,
International journal of molecular sciences, vol. 23 no. 23
(November, 2022),
pp. 14862
- Holmes, J; Lau, T; Saylor, R; Fernández-Novel, N; Hersey, M; Keen, D; Hampel, L; Horschitz, S; Ladewig, J; Parke, B; Reed, MC; Nijhout, HF; Best, J; Koch, P; Hashemi, P, Voltammetric Approach for Characterizing the Biophysical and Chemical Functionality of Human Induced Pluripotent Stem Cell-Derived Serotonin Neurons.,
Analytical chemistry, vol. 94 no. 25
(June, 2022),
pp. 8847-8856
- Lawley, SD; Nijhout, HF; Reed, MC, Spiracular fluttering decouples oxygen uptake and water loss: a stochastic PDE model of respiratory water loss in insects.,
Journal of mathematical biology, vol. 84 no. 6
(April, 2022),
pp. 40
- Hersey, M; Samaranayake, S; Berger, SN; Tavakoli, N; Mena, S; Nijhout, HF; Reed, MC; Best, J; Blakely, RD; Reagan, LP; Hashemi, P, Inflammation-Induced Histamine Impairs the Capacity of Escitalopram to Increase Hippocampal Extracellular Serotonin.,
The Journal of neuroscience : the official journal of the Society for Neuroscience, vol. 41 no. 30
(July, 2021),
pp. 6564-6577
- Reed, M; Kim, R, A mathematical model of circadian rhythms and dopamine.,
Theoretical Biology and Medical Modelling, vol. 18 no. 1
(February, 2021),
pp. 8, BioMed Central
- Kim, R; Reed, M, A mathematical model of circadian rhythms and dopamine,
Theoretical Biology and Medical Modelling
(January, 2021), BioMed Central
- Best, J; Duncan, W; Sadre-Marandi, F; Hashemi, P; Nijhout, HF; Reed, M, Autoreceptor control of serotonin dynamics.,
BMC neuroscience, vol. 21 no. 1
(September, 2020),
pp. 40
- Abdalla, A; West, A; Jin, Y; Saylor, RA; Qiang, B; Peña, E; Linden, DJ; Nijhout, HF; Reed, MC; Best, J; Hashemi, P, Fast serotonin voltammetry as a versatile tool for mapping dynamic tissue architecture: I. Responses at carbon fibers describe local tissue physiology.,
Journal of neurochemistry, vol. 153 no. 1
(April, 2020),
pp. 33-50
- Reed, MC; Lawley, S; Nijhout, HF, Spiracular fluttering increases oxygen uptake, vol. 15 no. 5
(2020),
pp. e0232450
- 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
- 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
- Saylor, RA; Hersey, M; West, A; Buchanan, AM; Berger, SN; Nijhout, HF; Reed, MC; Best, J; Hashemi, P, Corrigendum: In vivo Hippocampal Serotonin Dynamics in Male and Female Mice: Determining Effects of Acute Escitalopram Using Fast Scan Cyclic Voltammetry.,
Frontiers in neuroscience, vol. 13
(January, 2019),
pp. 726
- Saylor, RA; Hersey, M; West, A; Buchanan, AM; Berger, SN; Nijhout, HF; Reed, MC; Best, J; Hashemi, P, In vivo Hippocampal Serotonin Dynamics in Male and Female Mice: Determining Effects of Acute Escitalopram Using Fast Scan Cyclic Voltammetry.,
Frontiers in neuroscience, vol. 13
(January, 2019),
pp. 362
- 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
- Reed, MC; Duncan, W; Nijhout, HF; Best, J; Golubitsky, M, Homeostasis Despite Instability,
Mathematical Biosciences, vol. 300
(June, 2018),
pp. 130-137
- Suppiramaniam, V; Bloemer, J; Reed, M; Bhattacharya, S, Neurotransmitter Receptors,
in Comprehensive Toxicology: Third Edition, vol. 6-15
(January, 2018),
pp. 174-201, Elsevier, ISBN 9780081006016
- 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
- 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
- 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, vol. 55 no. 7
(January, 2017),
pp. 753-753, TAYLOR & FRANCIS LTD
- 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, vol. 55 no. 7
(January, 2017),
pp. 753-754, TAYLOR & FRANCIS LTD
- 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; 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
- Reed, MC; Nijhout, HF; Best, J; Samaranayake, S; Hashemi, P, A mathematical model for histamine synthesis, release, and control in varicosities,
Theoretical Biology and medical Modelling, vol. 14 no. 1
(2017),
pp. 12-12
- 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)
- 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
- 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
- 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
(January, 2016),
pp. 494-494, TAYLOR & FRANCIS LTD
- Reed, MC; Nijhout, HF; Kurtz, T, Mathematical modeling of cell metabolism,
in Encyclopedia of Applied and Computational Mathematics, edited by Engquist, B, vol. 5
(2016),
pp. 603-613, Springer
- Reed, MC, Mathematical biology is good for mathematics,
Notices of the American Mathematical Society, vol. 62 no. 10
(November, 2015),
pp. 1172-1176, American Mathematical Society (AMS), ISSN 0002-9920
- 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
- Nijhout, HF; Best, JA; Reed, MC, Using mathematical models to understand metabolism, genes, and disease.,
BMC biology, vol. 13
(September, 2015),
pp. 79
- 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
- Nijhout, HF; Best, J; Reed, MC, Escape from homeostasis.,
Mathematical biosciences, vol. 257
(November, 2014),
pp. 104-110, ISSN 0025-5564
- 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
- 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
- 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
- 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
- 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
- Lawley, SD; Mattingly, JC; Reed, MC, Stochastic switching in infinite dimensions with applications to random parabolic PDEs,
arXiv preprint arXiv:1407.2264, vol. 47 no. 4
(2014),
pp. 3035-3063, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410
- 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, International Press of Boston, ISSN 1539-6746
- 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
- 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
- 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
- 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
- Patel, M; Reed, M, Stimulus encoding within the barn owl optic tectum using gamma oscillations vs. spike rate: a modeling approach.,
Network (Bristol, England), vol. 24 no. 2
(January, 2013),
pp. 52-74
- 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, The Royal Society
- 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
- 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
- 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
- Mitchell, C; Reed, MC, Do Real Neurons Have Time Windows?,
Journal of Computational Neuroscience
(2012)
- 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)
- 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 Modeling, vol. 9
(2012),
pp. 55
- Reed, M; Nijhout, HF; Best, J, Mathematical insights into the effects of levodopa,
Frontiers in Integrative Neuroscience, vol. 6
(2012),
pp. 1-24
- 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
- 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
- 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 no. 1
(August, 2011),
pp. 31-, ISSN 1742-4682
- 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
- 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
- M.C. Reed, Thomas Kurtz, H. F. Nijhout, Mathematical modeling of cell metabolism,
in Encyclopedia of Applied and Computational Mathematics, edited by B. Engquist
(2011), Springer, Berlin
- S. Lawley, M. Cinderella, M. Hall, M. Gamble, H. F. Nijhout, M.C. Reed, Mathematical model insights into arsenic methylation,
Theoretical Biology and Medical Modeling, vol. 8
(2011),
pp. 1-17
- 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.
- 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
- Reed, MC, Mathematical biology,
in The Princeton Companion to Mathematics
(July, 2010),
pp. 837-848, ISBN 9780691118802
- Best, J; Reed, M; Nijhout, HF, Models of dopaminergic and serotonergic signaling.,
Pharmacopsychiatry, vol. 43 Suppl 1
(May, 2010),
pp. S61-S66
- Reed, MC; Lieb, A; Nijhout, HF, The biological significance of substrate inhibition: a mechanism with diverse functions.,
BioEssays : news and reviews in molecular, cellular and developmental biology, vol. 32 no. 5
(May, 2010),
pp. 422-429
- 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)
- Reed, M; Lieb, A; Nijhout, HF, Biological Significance of Substrate Inhibition,
BioEssays, vol. 32 no. 5
(2010),
pp. 422-429
- 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
- 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. 21-42, Springer Nature, ISSN 1479-7364
- 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. 21-42
- 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
- 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
- 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
- Best, J; Nijhout, HF; Reed, M, Homeostatic mechanisms in dopamine synthesis and release: a mathematical model.,
Theoretical Biology and Medical Modeling, vol. 6
(2009),
pp. 21
- 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
- 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
- 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
- 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
- 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
- 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. 255-264
(2008)
- 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
- 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
- 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
- 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
- Nijhout, HF; Reed, MC; Ulrich, CM, A day in the life of cell metabolism.,
Biological Theory (in press), vol. 2
(2007),
pp. 124-127
- 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
- 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.,
Environ Health Perspect, vol. 114 no. 10
(October, 2006),
pp. 1547-1552, ISSN 0091-6765
- 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
- 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
- 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
- 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,
Epigenetics, vol. 1 no. 2
(2006),
pp. 115-115
- 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
- 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
- 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
- Reed, MC; Blum, J; Washington, T; Conn, JM, A mathematical model for LH release in response to continuous and pulsatile exposure of gonadotrophs to GnRH,
Theoretical Biology and Medical Modeling, vol. 1 no. 9
(2004),
pp. 1-17
- 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
- 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
- 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
- Blum, JJ; Reed, MC; Janovick, JA; Conn, PM, A mathematical model quantifying GnRH-induced LH secretion from gonadotropes.,
Am J Physiol Endocrinol Metab, vol. 278 no. 2
(February, 2000),
pp. E263-E272, ISSN 0193-1849
- 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
- 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
- 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
- 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
- Reed, MC; Blum, J, Envelope coding in the Auditory Brainstem,
in Proc. Conference on Biomedical Simulation, edited by Cellier, P
(1997)
- 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
- 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
- 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. A6-A6, AMER SOC CELL BIOLOGY
- 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
- 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
- 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
- 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)
- 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. 995-1005, ISSN 0006-3495
- 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
- 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
- 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. 152-178, Elsevier BV, ISSN 0022-1236
- 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
- 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
- RAUCH, J; REED, MC, ULTRASINGULARITIES IN NONLINEAR-WAVES,
LECTURE NOTES IN MATHEMATICS, vol. 1248
(January, 1987),
pp. 127-133, SPRINGER VERLAG
- 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
- 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
- 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
- Blum, JJ; Reed, MC, A model for fast axonal transport.,
Cell motility, vol. 5 no. 6
(January, 1985),
pp. 507-527
- 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
- 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
- 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
(January, 1984),
pp. 477-483, Elsevier, ISSN 0304-0208
- 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)
- 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)
- 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
- 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, 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
- 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
- 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)
- 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
- 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
- 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
- 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
- Rauch, J; Reed, MC, Propagation of Singularities for Semilinear Hyperbolic Equations in One Space Variable,
The Annals of Mathematics, vol. 111 no. 3
(May, 1980),
pp. 531-531, JSTOR
- 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
- 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
- Reed, MC, Propagation of singularities,
in Many Degrees of Freedom in Particle Physics and Field Theory, edited by Streit, L
(1978), Plenum Press
- 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)
- 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
- REED, MC, CONSTRUCTION OF SCATTERING OPERATOR FOR ABSTRACT NONLINEAR-WAVE EQUATIONS,
INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 25 no. 11
(January, 1976),
pp. 1017-1027, INDIANA UNIV MATH JOURNAL
- 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)
- 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
- 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
- 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
- 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)
- 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
- 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
- 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)
- 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
- Reed, MC, The GNS Construction--a pedagogical example,
in Lectures on Elementary Particles and Quantum Field Theory
(1970),
pp. 415-438, MIT Press
- 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
- Reed, M, The damped self-interaction,
Communications in Mathematical Physics, vol. 11 no. 4
(December, 1969),
pp. 346-357, Springer Nature, ISSN 0010-3616
- Jacob J. Blum, Michael C. Reed, Jo Ann Janovick and M. Conn, A Mathematical Model for Quantitaion of Gonadotropin-Releasing Hormone Stimulation of Luteinizing Hormone Secretion for Gonadotropes,
Amer. J. Physiol. Endocrinol. Metab. 278 (2000), 263-272.
- Michael C. Reed and Lisa Durbeck, Delay Lines and Auditory Processing,
Comments in Theoretical Biology, 3(1995), 441-461