Vocabulary and Notation

  • Christoph Börgers
Part of the Texts in Applied Mathematics book series (TAM, volume 66)


We begin by introducing some of the vocabulary used throughout this book. A human brain consists of approximately 100 billion neurons (nerve cells), and perhaps an equal number of glia or glial cells (auxiliary cells) [5]. A neuron consists of a cell body or soma, and branching projections, the dendrites (input units) and the axon (output unit). Figure 1.1 shows a caricature. For a depiction of real cells in the hippocampus, a brain structure that is central in memory formation and spatial navigation, see Fig. 1.2.


NMDA Receptor Sodium Channel Potassium Channel GABAA Receptor Extracellular Fluid 
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  1. [5]
    F. A. C. Azevedo, L. R. B. Carvalho, L. T. Grinberg, J. M. Farfel, R. E. L. Ferretti, R. E. P. Leite, W. J. Filho, R. Lent, and S. Herculano-Houzel, Equal numbers of neuronal and nonneuronal cells make the human brain an isometrically scaled-up primate brain, J. Comp. Neurol., 513 (2009), pp. 532–541.CrossRefGoogle Scholar
  2. [35]
    G. Deidda, M. Allegra, C. Cerri, S. Naskar, G. Bony, G. Zunino, Y. Bozzi, M. Caleo, and L. Cancedda, Early depolarizing GABA controls critical-period plasticity in the rat visual cortex, Nature Neuroscience, 18 (2015), pp. 87–96.CrossRefGoogle Scholar
  3. [70]
    C. Han, J. G. J. Hoeijmakers, S. Liu, M. M. Gerrits, R. H. M. te Morsche, G. Lauria, S. D. Dib-Hajj, J. P. H. Drenth, C. G. Faber, I. S. J. Merkies, and S. G. Waxman, Functional profiles of SCN9A variants in dorsal root ganglion neurons and superior cervical ganglion neurons correlate with autonomic symptoms in small fibre neuropathy, Brain, 135 (2012), pp. 2613–2628.CrossRefGoogle Scholar
  4. [140]
    S. J. Shabel, C. D. Proulx, J. Piriz, and R. Malinow, GABA/glutamate co-release controls habenula output and is modified by antidepressant treatment, Science, 345 (2014), pp. 1494–1498.CrossRefGoogle Scholar
  5. [170]
    H. Wachtel and E. R. Kandel, A direct synaptic connection mediating both excitation and inhibition, Science, 158 (1967), pp. 1206–1208.CrossRefGoogle Scholar

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© Springer International Publishing AG 2017

Authors and Affiliations

  • Christoph Börgers
    • 1
  1. 1.Department of MathematicsTufts UniversityMedfordUSA

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