A Mathematical Model of the Impact of Novel Treatments on the A\03b2 Burden in the Alzheimer's Brain, CSF and Plasma

A Mathematical Model of the Impact of Novel Treatments on the A\03b2 Burden in the Alzheimer's Brain, CSF and Plasma PDF Author: Lawrence M. Wein
Publisher: Palala Press
ISBN: 9781379090991
Category : History
Languages : en
Pages : 66

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Mathematical Model of the Impact of Novel Treatments on the A\03b2 Burden in the Alzheimer's Brain, CSF and Plasma

A Mathematical Model of the Impact of Novel Treatments on the A\03b2 Burden in the Alzheimer's Brain, CSF and Plasma PDF Author: Lawrence M. Wein
Publisher: Palala Press
ISBN: 9781379090991
Category : History
Languages : en
Pages : 66

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Mathematical Model of the Impact of Novel Treatments on the A\03b2 Burden in the Alzheimer's Brain, CSF and Plasma

A Mathematical Model of the Impact of Novel Treatments on the A\03b2 Burden in the Alzheimer's Brain, CSF and Plasma PDF Author: Lawrence M Wein
Publisher: Palala Press
ISBN: 9781342154170
Category :
Languages : en
Pages : 66

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Mathematical Model of the Impact of Novel Treatments on the A[beta] Burden in the Alzheimer's Brain, CSF and Plasma

A Mathematical Model of the Impact of Novel Treatments on the A[beta] Burden in the Alzheimer's Brain, CSF and Plasma PDF Author: Lawrence M. Wein
Publisher:
ISBN:
Category :
Languages : en
Pages : 60

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Book Description
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 compaxtmental 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.

A Mathematical Model of the Impact of Novel Treatments on the Ab Burden in the Alzheimer's Brain, Csf and Plasma (Classic Reprint)

A Mathematical Model of the Impact of Novel Treatments on the Ab Burden in the Alzheimer's Brain, Csf and Plasma (Classic Reprint) PDF Author: Lawrence M. Wein
Publisher: Forgotten Books
ISBN: 9780365738060
Category : Science
Languages : en
Pages : 66

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Book Description
Excerpt from A Mathematical Model of the Impact of Novel Treatments on the Ab Burden in the Alzheimer's Brain, Csf and Plasma Our model is an infinite system of nonlinear ordinary differential equations that are related to a large class of models used to study actin formation, polymer chemistry, and galaxy formation, crystallization and cloud formation19_20. While the polymerization and depolymerization processes we employ are specialized to AD and are less general than many considered in the literature, the main novelty of our model is the incorporation of multiple compartments with sources (production) and sinks (loss). About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Mathematical Model of the Impact of Novel Treatments on the Ab Burden in the Alzheimer's Brain, Csf and Plasma

A Mathematical Model of the Impact of Novel Treatments on the Ab Burden in the Alzheimer's Brain, Csf and Plasma PDF Author: Lawrence M. Wein
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
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 compaxtmental 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.

The Impact of Novel Treatments on A\03B2 Burden in Alzheimer's Disease

The Impact of Novel Treatments on A\03B2 Burden in Alzheimer's Disease PDF Author: David Lee Craft
Publisher:
ISBN:
Category :
Languages : en
Pages : 62

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Book Description


The Impact of Novel Treatments on A\03b2 Burden in Alzheimer's Disease

The Impact of Novel Treatments on A\03b2 Burden in Alzheimer's Disease PDF Author: David Lee Craft
Publisher: Palala Press
ISBN: 9781342020796
Category :
Languages : en
Pages : 68

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Impact of Novel Treatments on A[beta] Burden in Alzheimer's Disease

The Impact of Novel Treatments on A[beta] Burden in Alzheimer's Disease PDF Author: David Lee Craft
Publisher:
ISBN:
Category :
Languages : en
Pages : 62

Get Book Here

Book Description