Download or read book A Mathematical Model for Alzheimer s Disease An Approach Via Stochastic Homogenization of the Smoluchowski Equation written by Bruno Franchi and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Mathematical Model of Alzheimer s Disease and the ApoE Gene written by A. Macdonald and published by . This book was released on 1999 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational Chemotaxis Models For Neurodegenerative Disease written by William E Schiesser and published by World Scientific Publishing Company. This book was released on 2017-02-24 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical model presented in this book, based on partial differential equations (PDEs) describing attractant-repellent chemotaxis, is offered for a quantitative analysis of neurodegenerative disease (ND), e.g., Alzheimer's disease (AD). The model is a representation of basic phenomena (mechanisms) for diffusive transport and biochemical kinetics that provides the spatiotemporal distribution of components which could explain the evolution of ND, and is offered with the intended purpose of providing a small step toward the understanding, and possible treatment of ND.The format and emphasis of the presentation is based on the following elements:In other words, a methodology for numerical PDE modeling is presented that is flexible, open ended and readily implemented on modest computers. If the reader is interested in an alternate model, it might possibly be implemented by: (1) modifying and/or extending the current model (for example, by adding terms to the PDEs or adding additional PDEs), or (2) using the reported routines as a prototype for the model of interest.These suggestions illustrate an important feature of computer-based modeling, that is, the readily available procedure of numerically experimenting with a model. The current model is offered as only a first step toward the resolution of this urgent medical problem.

Download or read book Time Scale Analysis of a Mathematical Model for Alzheimer s Disease Based on the Metal Hypothesis written by Eda Asili and published by . This book was released on 2017 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aggregation of amyloid-beta by self-assembly into oligomers or amyloids is a central event in Alzheimer’s disease. In this dissertation, I propose a mathematical model as a set of coupled kinetic equations that governs the self-assembly of amyloid-beta filaments in the presence of transition-metal ions. Metal ions have been hypothesized as an important factor in the pathogenesis of AD. There is a considerable literature supporting the impact of metal ions such as copper (Cu), zinc (Zn) and iron (Fe) in many critical aspects of AD and other neurodegenerative diseases. Our study includes Cu and Zn as main transition-metal ions, where their coordination to amyloid-beta regulates the aggregation process in vivo. Metal ions mostly affect the nucleation phase and change both the structure and the charge of amyloid-beta. Our model describes the general features of the kinetics of fragmenting filamentous structures. The numerical simulations reveal a four timescale dynamics related to three important events, which are the formation of the amyloid-metal, the homogeneous aggregation of the filaments and the non-homogeneous aggregation of the protein-metal. The method of singular perturbation is used to discern between these timescales. These results are studied in the framework of slow-fast systems. We also compare the metal with the non-metal dynamics and apply optimization theory for realistic values of reaction rates. Simulations shows that in certain cases the presence of metal accelerates the aggregation of filaments in a drastic way.

Download or read book A mathematical model of Alzheimer s disease written by Seyedadel Moravveji and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'objet de cette thèse est l'étude de différents modèles mathématiques décrivant le vieillissement du cerveau et l'évolution de la maladie d'Alzheimer. Je porte un regard critique sur les différents modèles publiés et j'en développe un nouveau qui corrige les lacunes des modèles existant. Il n'existe pour l'instant aucun traitement efficace pour les patients atteints de la maladie d'Alzheimer. De plus, étant donné le vieillissement de la population et la perte d'autonomie des personnes atteintes, les coûts humains et sociaux de cette maladie sont dramatiques et ne cessent d'augmenter. Les causes et les mécanismes biologiques impliqués dans le développement de cette maladie sont nombreux et semblent interagir de manière non linéaire. Les recherches se concentrant sur une cause ou un facteur unique n'ont pas donné les résultats escomptés. Pour ces raisons, les modèles mathématiques peuvent nous aider à comprendre l'impact des différents facteurs impliqués et de tester in silico l'impact de différentes stratégies thérapeutiques. Dans un premier temps, j'ai effectué une revue systématique des différents articles publiés contenant des modèles mathématiques décrivant le développement de la maladie d'Alzheimer, ce qui constitue le chapitre 1 de cette thèse. Les modèles utilisent pour la plupart des systèmes d'équations différentielles ordinaires(EDOs) et/ou des systèmes d'équations aux dérivées partielles (EDPs). Dans le chapitre 2, je présente les outils mathématiques nécessaires pour résoudre ces modèles. Il existe de nombreuses recettes numériques pour résoudre des systèmes d'EDOs ou d'EDPs. Étant donné les différentes échelles de temps impliquées dans la développement de la maladie d'Azheimer, le système résultant d'ÉDOs peut être délicat à résoudre numériquement. Je discute des méthodes adaptées à la résolution de notre problème. Au chapitre 3, je donne une introduction à l'analyse de sensibilité. L'analyse de sensibilité est importante pour plusieurs raisons que ce soit pour quantifier l'incertitude ou pour l'identification de paramètres critiques. Du point de de vue mathématique, il existe plusieurs outils pour calculer les sensibilités et le choix de la méthode dépend du contexte. Dans ce chapitre, je discute de l'importance d'effectuer des analyses de sensibilité et je présente les méthodes les plus appropriées pour notre cas. Au chapitre 4, je présente en détail le modèle développé par Hao et Friedman. Ce modèle comporte un système de 18 EDOs. Je discute des forces et des faiblesses de ce modèle et en particulier des facteurs qui rendent les résultats impossibles à reproduire. Je développe finalement une version améliorée de ce modèle avec une description plus réaliste des différents facteurs impliqués dans le développement de la maladie d'Alzheimer.

Download or read book The Impact of Novel Treatments on A 03B2 Burden in Alzheimer s Disease written by David Lee Craft and published by Palala Press. This book was released on 2018-03-02 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Impact of Novel Treatments on A beta Burden in Alzheimer s Disease written by David Lee Craft and published by . This book was released on 2001 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Impact of Novel Treatments on A 03b2 Burden in Alzheimer s Disease written by David Lee Craft and published by Palala Press. This book was released on 2015-09-08 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A Mathematical Model of the Impact of Novel Treatments on the Ab Burden in the Alzheimer s Brain Csf and Plasma Classic Reprint written by Lawrence M. Wein and published by Forgotten Books. This book was released on 2018-04-02 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Alzheimer s Disease Biology Biophysics And Computational Models written by Don Kulasiri and published by World Scientific. This book was released on 2022-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alzheimer's disease (AD) is the leading cause of dementia and, unfortunately, remains incurable. The social, emotional and financial implications of AD are immeasurable, and about 47 million people worldwide are affected by AD or other forms of dementia. As lifespans are improved by healthcare systems worldwide, age-associated neurodegenerative diseases are imposing an increasing challenge to science. It is becoming imperative for us to understand the causes of these diseases, AD in particular, at molecular and cellular levels. Starting with the broader picture from a biological perspective, this book takes the reader through fascinating dynamics within and outside of neurons in the brain.Alzheimer's Disease: Biology, Biophysics and Computational Models helps the reader to understand AD from mechanistic and biochemical perspectives at intra- and inter-cellular levels. It focuses on biochemical pathways and modeling associated with AD. Some of the recent research on biophysics and computational models related to AD are explained using context-driven computational and mathematical modeling and essential biology is discussed to understand the modeling research.

Download or read book A Mathematical Model of the Impact of Novel Treatments on the A 03b2 Burden in the Alzheimer s Brain CSF and Plasma written by Lawrence M. Wein and published by Palala Press. This book was released on 2018-03-03 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multi scale Mathematical Modelling of Brain Networks in Alzheimer s Disease written by L. Tait and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Mathematical Model of the Impact of Novel Treatments on the A 03b2 Burden in the Alzheimer s Brain CSF and Plasma written by Lawrence M Wein and published by Palala Press. This book was released on 2015-09-10 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Computational Chemotaxis Models for Neurodegenerative Disease written by W. E. Schiesser and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Models of Amyloid beta Production Aggregation and Treatment in Alzheimer s Disease written by Joseph H. Rosenthal and published by . This book was released on 2015 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Mathematical Model of the Impact of Novel Treatments on the A beta Burden in the Alzheimer s Brain CSF and Plasma written by Lawrence M. Wein and published by . This book was released on 2001 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book A Mathematical Model of Tau Protein Hyperphosphorylation written by Patrick Neil Blank and published by . This book was released on 2015 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: