A mathematical model of the impact of novel treatments on the A\03B2 burden in the Alzheimer's brain, CSF and plasma

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Last edited by MARC Bot
August 11, 2020 | History

A mathematical model of the impact of novel treatments on the A\03B2 burden in the Alzheimer's brain, CSF and plasma

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With the advent of novel therapies for AD, there is a pressing need for biomarkers that are easy to monitor, such as the amyloid-beta levels in the cerebrospinal fluid (CSF) and plasma. To gain a better understanding of the explanatory power of these biomarkers, we formulate and analyze a compartmental mathematical model for the amyloid-beta accumulation in the brain, CSF and plasma throughout the course of Alzheimer's treatment. Our analysis reveals that the total amyloid-beta burden in the brain is dictated by a unitless quantity called the polymerization ratio, which is the product of the production and elongation rates divided by the product of the fragmentation and loss rates. In this ratio, the production rate and loss rate include a source and sink term, respectively, related to the intercompaxtmental transport. Our results suggest that production inhibitors are likely to reduce the amyloid-beta levels in all three compartments. In contrast, agents that ingest monomers off of polymers, or that increase fragmentation or block elongation, may also reduce amyloid-beta burden in the brain, but may produce little change in or even transiently increase CSF and plasma amyloid-beta levels. Hence, great care must be taken when interpreting these biomarkers. Keywords: amyloid beta, mathematical model.

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Edition Notes

Published in
[Cambridge, Mass
Series
Working paper -- 4228-01, Working paper (Sloan School of Management) -- 4228.

The Physical Object

Pagination
30 leaves :
Number of pages
30

ID Numbers

Open Library
OL17936516M
Internet Archive
mathematicalmode00wein
OCLC/WorldCat
50855973

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Internet Archive item record

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August 11, 2020 Edited by MARC Bot remove fake subjects
May 6, 2010 Edited by EdwardBot add Accessible book tag
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
January 23, 2010 Edited by WorkBot add more information to works
December 11, 2009 Created by WorkBot add works page