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Mathematical Modeling for the Pathogenesis of Alzheimer's Disease

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  • Ishwar K Puri
  • Liwu Li

Abstract

Despite extensive research, the pathogenesis of neurodegenerative Alzheimer's disease (AD) still eludes our comprehension. This is largely due to complex and dynamic cross-talks that occur among multiple cell types throughout the aging process. We present a mathematical model that helps define critical components of AD pathogenesis based on differential rate equations that represent the known cross-talks involving microglia, astroglia, neurons, and amyloid-β (Aβ). We demonstrate that the inflammatory activation of microglia serves as a key node for progressive neurodegeneration. Our analysis reveals that targeting microglia may hold potential promise in the prevention and treatment of AD.

Suggested Citation

  • Ishwar K Puri & Liwu Li, 2010. "Mathematical Modeling for the Pathogenesis of Alzheimer's Disease," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-5, December.
    • Handle: RePEc:plo:pone00:0015176
    DOI: 10.1371/journal.pone.0015176
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    References listed on IDEAS

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    1. Geoff Clarke & Richard A. Collins & Blair R. Leavitt & David F. Andrews & Michael R. Hayden & Charles J. Lumsden & Roderick R. McInnes, 2000. "A one-hit model of cell death in inherited neuronal degenerations," Nature, Nature, vol. 406(6792), pages 195-199, July.
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    Cited by:

    1. Jain, Ani & Roy, Parimita, 2023. "Obesity and Alzheimer’s: An attempt to decipher the role of obesity in blood–brain barrier degradation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Maher A Dayeh & George Livadiotis & Saber Elaydi, 2018. "A discrete mathematical model for the aggregation of β-Amyloid," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-13, May.

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