M C Reed

Summary

Affiliation: Duke University Medical Center
Country: USA

Publications

  1. pmc The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model
    Rotem Ben-Shachar
    Program in Computational Biology and Bioinformatics, Duke University, Durham, NC, USA
    Theor Biol Med Model 9:55. 2012
  2. pmc Mathematical model insights into arsenic detoxification
    Sean D Lawley
    Department of Mathematics, Duke University, 130 Science Drive, Durham, NC 27708, USA
    Theor Biol Med Model 8:31. 2011
  3. pmc In silico experimentation with a model of hepatic mitochondrial folate metabolism
    H Frederik Nijhout
    Department of Biology, Duke University, Durham, NC 27708, USA
    Theor Biol Med Model 3:40. 2006
  4. pmc Homeostatic mechanisms in dopamine synthesis and release: a mathematical model
    Janet A Best
    Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
    Theor Biol Med Model 6:21. 2009
  5. pmc Serotonin synthesis, release and reuptake in terminals: a mathematical model
    Janet Best
    Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
    Theor Biol Med Model 7:34. 2010
  6. pmc A mathematical model for LH release in response to continuous and pulsatile exposure of gonadotrophs to GnRH
    Talitha M Washington
    Department of Mathematics, College of New Rochelle, USA
    Theor Biol Med Model 1:9. 2004
  7. doi request reprint The biological significance of substrate inhibition: a mechanism with diverse functions
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    Bioessays 32:422-9. 2010
  8. pmc A mathematical model of glutathione metabolism
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    Theor Biol Med Model 5:8. 2008
  9. ncbi request reprint Model calculations of steady state responses to binaural stimuli in the dorsal nucleus of the lateral lemniscus
    M C Reed
    Department of Mathematics, Duke University, Durham, NC 27708 0320, USA
    Hear Res 136:13-28. 1999
  10. ncbi request reprint Precision of neural timing: effects of convergence and time-windowing
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    J Comput Neurosci 13:35-47. 2002

Collaborators

Detail Information

Publications23

  1. pmc The biochemistry of acetaminophen hepatotoxicity and rescue: a mathematical model
    Rotem Ben-Shachar
    Program in Computational Biology and Bioinformatics, Duke University, Durham, NC, USA
    Theor Biol Med Model 9:55. 2012
    ..The standard treatment for overdose is N-acetyl-cysteine (NAC), which is given to stimulate the production of glutathione...
  2. pmc Mathematical model insights into arsenic detoxification
    Sean D Lawley
    Department of Mathematics, Duke University, 130 Science Drive, Durham, NC 27708, USA
    Theor Biol Med Model 8:31. 2011
    ....
  3. pmc In silico experimentation with a model of hepatic mitochondrial folate metabolism
    H Frederik Nijhout
    Department of Biology, Duke University, Durham, NC 27708, USA
    Theor Biol Med Model 3:40. 2006
    ....
  4. pmc Homeostatic mechanisms in dopamine synthesis and release: a mathematical model
    Janet A Best
    Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
    Theor Biol Med Model 6:21. 2009
    ....
  5. pmc Serotonin synthesis, release and reuptake in terminals: a mathematical model
    Janet Best
    Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
    Theor Biol Med Model 7:34. 2010
    ..The scientific issues are daunting but important for human health because of the use of selective serotonin reuptake inhibitors and other pharmacological agents to treat disorders in the serotonergic signaling system...
  6. pmc A mathematical model for LH release in response to continuous and pulsatile exposure of gonadotrophs to GnRH
    Talitha M Washington
    Department of Mathematics, College of New Rochelle, USA
    Theor Biol Med Model 1:9. 2004
    ..The mathematical model allows us to assess the effects of internalization and desensitization on the shapes and time courses of LH response curves...
  7. doi request reprint The biological significance of substrate inhibition: a mechanism with diverse functions
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    Bioessays 32:422-9. 2010
    ..Substrate inhibition of DNA methyltransferase serves to faithfully copy DNA methylation patterns when cells divide while preventing de novo methylation of methyl-free promoter regions...
  8. pmc A mathematical model of glutathione metabolism
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    Theor Biol Med Model 5:8. 2008
    ..Deficits in glutathione have been implicated in aging and a host of diseases including Alzheimer's disease, Parkinson's disease, cardiovascular disease, cancer, Down syndrome and autism...
  9. ncbi request reprint Model calculations of steady state responses to binaural stimuli in the dorsal nucleus of the lateral lemniscus
    M C Reed
    Department of Mathematics, Duke University, Durham, NC 27708 0320, USA
    Hear Res 136:13-28. 1999
    ..Furthermore, we propose a simple mechanism by which the cells of the DNLL and LSO could create a topographic place map in the inferior colliculus...
  10. ncbi request reprint Precision of neural timing: effects of convergence and time-windowing
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    J Comput Neurosci 13:35-47. 2002
    ..For appropriate choices of m, epsilon, and f, the standard deviation sigma(n,m,epsilon) may be as low as 1/n. Thus, depending on these variables, remarkable improvements in timing accuracy of such a stochastic system may occur...
  11. ncbi request reprint A mathematical model of the methionine cycle
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    J Theor Biol 226:33-43. 2004
    ..We conduct computational "experiments" that give understanding of the regulatory behavior of the methionine cycle under normal conditions and the behavior in the presence of genetic variation and dietary deficiencies...
  12. ncbi request reprint Model calculations of time dependent responses to binaural stimuli in the dorsal nucleus of the lateral lemniscus
    J J Blum
    Division of Physiology, Department of Cell Biology, Duke University Medical Center, Durham, NC 27708 0320, USA
    Hear Res 149:77-90. 2000
    ....
  13. ncbi request reprint A mathematical model gives insights into nutritional and genetic aspects of folate-mediated one-carbon metabolism
    Michael C Reed
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    J Nutr 136:2653-61. 2006
    ..These mathematical simulations of folate-mediated 1-carbon metabolism provide a cost-efficient approach to in silico experimentation that can complement and help guide laboratory studies...
  14. ncbi request reprint Robustness of a neural network model for differencing
    A Solodovnikov
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    J Comput Neurosci 11:165-73. 2001
    ..There is some evidence that the network exists in the neural tissue of the auditory brainstem...
  15. ncbi request reprint A mathematical model quantifying GnRH-induced LH secretion from gonadotropes
    J J Blum
    Department of Cell Biology, Duke University Medical Center, Durham 27710, North Carolina, USA
    Am J Physiol Endocrinol Metab 278:E263-72. 2000
    ..Despite these and other simplifications, the model explains the qualitative features of LH release in response to GnRH pulses of various durations and different concentrations in the presence and absence of external Ca(2+)...
  16. pmc A mathematical model gives insights into the effects of vitamin B-6 deficiency on 1-carbon and glutathione metabolism
    H Frederik Nijhout
    Department of Biology, Duke University, Durham, NC 27708, USA
    J Nutr 139:784-91. 2009
    ..Our simulations showed that the primary function of SHMT was to increase the rate by which the glycine-serine balance was reequilibrated after a perturbation...
  17. ncbi request reprint A mathematical model for the regulation of juvenile hormone titers
    H Frederik Nijhout
    Department of Biology, Duke University, Durham, NC 27708, USA
    J Insect Physiol 54:255-64. 2008
    ..These analyses suggest that there is a critical need to develop a better understanding of the in vivo role of synthesis, sequestration and degradation in JH titer regulation...
  18. ncbi request reprint Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate
    H Frederik Nijhout
    Department of Biology, Duke University, Durham, North Carolina 27708, USA
    Epigenetics 1:81-7. 2006
    ..In silico experimentation allows us to evaluate the independent effects of various combinations of the long-range interactions, and thereby propose a plausible evolutionary scenario...
  19. ncbi request reprint A mathematical model of the folate cycle: new insights into folate homeostasis
    H Frederik Nijhout
    Departments of Biology and Mathematics, Duke University, Durham, NC 27708, USA
    J Biol Chem 279:55008-16. 2004
    ..In the presence of folate binding and allosteric inhibition, the velocities show a remarkable constancy as total folate is decreased...
  20. doi request reprint Mathematical models of folate-mediated one-carbon metabolism
    H F Nijhout
    Department of Biology, Duke University, Durham, North Carolina 27705, USA
    Vitam Horm 79:45-82. 2008
    ....
  21. ncbi request reprint Propagation of fluctuations in biochemical systems, I: linear SSC networks
    David F Anderson
    Department of Mathematics, Duke University, Durham, NC 27708, USA
    Bull Math Biol 69:1791-813. 2007
    ..We also investigate the asymptotic behavior of the system as one reaction becomes fast relative to the others...
  22. pmc Neural tube defects and folate pathway genes: family-based association tests of gene-gene and gene-environment interactions
    Abee L Boyles
    Center for Human Genetics, Duke University Medical Center, Durham, North Carolina 27710, USA
    Environ Health Perspect 114:1547-52. 2006
    ..Most studies addressed these genes individually, often with different populations providing conflicting results...
  23. pmc Flavin-dependent thymidylate synthase ThyX activity: implications for the folate cycle in bacteria
    Damien Leduc
    Inserm Avenir Group, Institut de Génétique et de Microbiologie, CNRS UMR8621, F 91405 Orsay, France
    J Bacteriol 189:8537-45. 2007
    ..In addition, our observations suggest that the presence of flavin-dependent thymidylate synthase X provides growth benefits under conditions in which the level of reduced folate derivatives is compromised...