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Projecting Biochemistry Over Long Distances

Published online by Cambridge University Press:  07 February 2014

M. Reed ,
H. F. Nijhout  and
J. Best
M. Reed*
Affiliation:
Department of Mathematics, Duke University, Durham, NC 27705, USA
H. F. Nijhout
Affiliation:
Department of Biology, Duke University, Durham, NC 27705, USA
J. Best
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
*
⋆Corresponding author. E-mail: [email protected]
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Abstract

Mathematical and computational neuroscience have contributed to the brain sciences by thestudy of the dynamics of individual neurons and more recently the study of the dynamics ofelectrophysiological networks. Often these studies treat individual neurons as points orthe nodes in networks and the biochemistry of the brain appears, if at all, as someintermediate variables by which the neurons communicate with each other. In fact, manyneurons change brain function not by communicating in one-to-one fashion with otherneurons, but instead by projecting changes in biochemistry over long distances. Thisbiochemical network is of crucial importance for brain function and it influences and isinfluenced by the more traditional electrophysiological networks. Understanding howbiochemical networks interact with electrophysiological networks to produce brain functionboth in health and disease poses new challenges for mathematical neuroscience.

Keywords

networkselectrophysiologybiochemistrybrain
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 1: Issue dedicated to Michael Mackey , 2014 , pp. 133 - 138
Copyright
© EDP Sciences, 2014

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References

Adell, A., Celada, P., Abella, M. T., Artigasa, F.. Origin and functional role of the extracellular serotonin in the midbrain raphe nuclei. Brain. Res. Rev. 39 (2002), 154–180. CrossRefGoogle Scholar
Blandina, P., Goldfarb, J., Craddock-Royal, B., Green, J. P.. Release of endogenous dopamine by stimulation of 5-hydroxytryptamine3 receptors in rat striatum. J. Pharmacol. Exper. Therap., 251(1989), 803–809. Google Scholar
Bonhomme, N., Duerwaerdere, P., Moal, M., Spampinato, U.. Evidence for 5-HT4 receptor subtype involvement in the enhancement of striatal dopamine release induced by serotonin: a microdialysis study in the halothane-anesthetized rat. Neuropharmacology, 34 (1995), 269–279. CrossRefGoogle Scholar
Brooks, D. J.. Dopamine agonists: their role in the treatment of Parkinson’s disease. J. Neurol. Neurosurg. Psychiatry, 68 (2000), 685–689. CrossRefGoogle ScholarPubMed
Chiel, H. J., Beer, R. D.. The brain has a body: adaptive behavior emerges from interactions of nervous system, body, and environment. Trends Neuroscience, 20 (1997), 553–557. CrossRefGoogle Scholar
Cunha, R. A.. Different cellular sources and different roles of adenosine: A1 receptor- mediated inhibition through astrocytic-driven volume transmission and synapse–restricted A2A receptor-mediated facilitation of plasticity. Neurochem. Int., 52 (2008), 65–72. CrossRefGoogle ScholarPubMed
Deurwaerdere, P., Bonhomme, N., Lucas, G., Moal, M., Spampinato, U.. Serotonin enhances striatal overflow in vivo through dopamine uptake sites. J. Neurochem., 66 (1996), 210–215. CrossRefGoogle Scholar
DiMatteo, V., DiGiovanni, G., Pierucci, M., Esposito, E.. Serotonin control of central dopaminergic function: focus on in vivo microdialysis studies. Prog. Brain Res., 172 (2008), 7–44. CrossRefGoogle Scholar
R. Feldman, J. Meyer, L. Quenzer. Principles of Neuropharmacology. Sunderland, MA.: Sinauer Associates, Inc., Sunderland MA, 1997.
Fuxe, K., Dahlstrom, A. B., Jonsson, G., Marcellino, D., Guescini, M., Dam, M., Manger, P., Agnati, L.. The discovery of central monoamine neurons gave volume transmission to the wired brain. Prog. Neurobiol., 90(2010), 82–100. CrossRefGoogle ScholarPubMed
Gerfen, C. R., Surmeier, D. J.. Modulation of striatal projection systems by dopamine. Annu. Rev. Neurosci., 34(2011), 441–466. CrossRefGoogle ScholarPubMed
Guiard, B. P., Mansari, M. E., Merali, Z., Blier, P.. Functional interactions between dopamine, serotonin and norepinephrine neurons: an in-vivo electrophysiological study in rats with monoaminergic lesions. Int. J. Neuropsycopharm., 11(2008), 625–639. CrossRefGoogle Scholar
Hornung, J. P.. The human raphe nuclei and the serotonergic system. J. Chem. Neuroanat., 26(2003), 331–343. CrossRefGoogle ScholarPubMed
A. Lasota, M. Mackey. Probabilistic Properties of Deterministic Systems. Springer-Verlag, New York, 1985.
Losson, J., Mackey, M.. A Hopf-like equation and perturbation theory for delay differential equations. J. Stat. Phys., 69(1992), 1025–1046. CrossRefGoogle Scholar
Mackey, M. C.. A unified hypothesis for the origin of aplastic anemia and haematopoiesis. Blood, 51(1978), 941–956. Google Scholar
Mackey, M. C., Glass, L.. Oscillations and chaos in physiological control systems. Science, 197(1977), 287–289. CrossRefGoogle ScholarPubMed
Mackey, M. C., Glass, L.. Pathological conditions resulting from instabilities in physiological control systems. Ann. N. Y . Acad. Sci., 316(1979), 214–235. Google Scholar
Mackey, M. C., Tyran-Kaminska, M.. Deterministic Brownian motion: The effects of perturbing a dynamical system by a chaotic semi-dynamical system. Physics Reports, 422(2006), 167–222. CrossRefGoogle Scholar
Monti, J. M.. The structure of the dorsal raphe nucleus and its relevance to the regulation of sleep and wakefulness. Sleep Med. Rev., 14(2010), 307–317. CrossRefGoogle ScholarPubMed
Reed, M., Nijhout, H. F., Best, J.. Computational Studies of the Role of Serotonin in the Basal Ganglia. Frontiers Integrative Neuroscience, 7(2013), 1–8. CrossRefGoogle ScholarPubMed
Smith, Y., Bevan, M., Shink, E., Bolam, J. P.. Microcircuitry of the direct and indirect pathways of the basal ganglia. Neuroscience, 86(1998), 353–387. Google Scholar