Alzheimer Disease: Convergence Result from a Discrete Model Towards a Continuous One

M. Caléro, I. S. Ciuperca, L. Pujo-Menjouet and L. M. Tine ()
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M. Caléro: Université Claude Bernard Lyon 1, Université de Lyon, CNRS UMR 5208 Institut Camille Jordan
I. S. Ciuperca: Université Claude Bernard Lyon 1, Université de Lyon, CNRS UMR 5208 Institut Camille Jordan
L. Pujo-Menjouet: Université Claude Bernard Lyon 1, Université de Lyon, CNRS UMR 5208 Institut Camille Jordan
L. M. Tine: Université Claude Bernard Lyon 1, Université de Lyon, CNRS UMR 5208 Institut Camille Jordan

A chapter in Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019, pp 397-431 from Springer

Abstract: Abstract Alzheimer disease (AD) is a neurodegenerative disease affecting more than 50 million people worldwide. AD is in part caused by the accumulation of Aβ peptides inside the brain to form oligomers or fibrils. Oligomers can interact with neurons via membrane receptors such as prion proteins (PrP c) and misfold them into oligomeric prions (PrP ol) able to transmit a death signal to neurons. The purpose of this talk is to show a convergence result from a discrete Alzheimer disease model (Helal et al., J Math Biol 78:57–81, 2018) to a continuous one (Ciuperca et al., Alzheimer’s disease and prion: an in vitro mathematical model, preprint).

Date: 2019
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DOI: 10.1007/978-3-030-23433-1_25

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