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Pathogenesis of Alzheimer’s Disease Examined Using a Modified Puri-Li Model that Incorporates Calcium Ion Homeostasis

Abstract

The Puri-Li kinetic model is modified to include neuronal calcium ion homeostasis to study the effect of calcium ions on the production of amyloid-β peptides (), microglia, and astroglia during the pathogenesis of Alzheimer’s disease (AD). This is carried out by solving the modified Puri-Li model under steady-state conditions. The derived expressions show that the inclusion of calcium ions has altered the steady-state populations of , microglia, and astroglia. The calcium ions activate the synthesis of which in turn increases the calcium ions entering the cytoplasm of the neuronal cells, thus creating a positive loop. The study also shows that as AD progresses, the inclusion of calcium ions enhances the production of microglia and astroglia. Examination of the steady-state solutions of microglia and astroglia shows that equilibrium conditions are achieved by microglia and astroglia destroying neurons. These model results are in agreement with experimental findings, which show a feed back loop between calcium ion levels and ; population increase in microglia, astroglia during AD; and microglia, astroglia acting as inflammatory cells producing toxins to destroy neurons during AD. Increased production of , microglia, and astroglia resulting from increased levels of calcium ions suggests that controlling the calcium ion levels could present a therapeutic strategy to combat AD.

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Correspondence to R. A. Thuraisingham.

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The author declares that there is no conflict of interest.

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R. A. Thuraisingham is an honorary research fellow associated with the rehabilitation studies unit, Northern Clinical School University of Sydney, NSW 2065, Australia

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Thuraisingham, R.A. Pathogenesis of Alzheimer’s Disease Examined Using a Modified Puri-Li Model that Incorporates Calcium Ion Homeostasis. J Mol Neurosci 65, 119–126 (2018). https://doi.org/10.1007/s12031-018-1080-8

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  • DOI: https://doi.org/10.1007/s12031-018-1080-8

Keywords

  • Mathematical model
  • Alzheimers disease
  • Microglia
  • Astroglia
  • Calcium ions