A reaction-diffusion model of spatial propagation of A[Formula: see text] oligomers in early stage Alzheimer's disease

The misconformation and aggregation of the protein Amyloid-Beta (A[Formula: see text]) is a key event in the propagation of Alzheimer's Disease (AD). Different types of assemblies are identified, with long fibrils and plaques deposing during the late stages of AD. In the earlier stages, the dis...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical biology 2021-03, Vol.82 (5), p.39-39
Main Authors: Andrade-Restrepo, Martin, Ciuperca, Ionel Sorin, Lemarre, Paul, Pujo-Menjouet, Laurent, Tine, Léon Matar
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page 39
container_issue 5
container_start_page 39
container_title Journal of mathematical biology
container_volume 82
creator Andrade-Restrepo, Martin
Ciuperca, Ionel Sorin
Lemarre, Paul
Pujo-Menjouet, Laurent
Tine, Léon Matar
description The misconformation and aggregation of the protein Amyloid-Beta (A[Formula: see text]) is a key event in the propagation of Alzheimer's Disease (AD). Different types of assemblies are identified, with long fibrils and plaques deposing during the late stages of AD. In the earlier stages, the disease spread is driven by the formation and the spatial propagation of small amorphous assemblies called oligomers. We propose a model dedicated to studying those early stages, in the vicinity of a few neurons and after a polymer seed has been formed. We build a reaction-diffusion model, with a Becker-Döring-like system that includes fragmentation and size-dependent diffusion. We hereby establish the theoretical framework necessary for the proper use of this model, by proving the existence of solutions using a fixed point method.
doi_str_mv 10.1007/s00285-021-01593-3
format article
fullrecord <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_proquest_miscellaneous_2506275947</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2506275947</sourcerecordid><originalsourceid>FETCH-LOGICAL-p564-5805fb61c3693f176fdead55105811bf1bf52f6ca48e2a709cd0a9a17bb4c1f63</originalsourceid><addsrcrecordid>eNo1kE9LxDAQxYMg7rr6BTxIbnqJJs2ftt6KuCoseNmbSJm2kzWSbmrTiuunt4srPJjHmx_D8Ai5EPxGcJ7eRs6TTDOeCMaFziWTR2QulEyYUMLMyGmMH5yLVOfihMykTE2muJqTr4L2CPXgwpY1ztoxTo62oUFPg6Wxg8GBp10fOtjAHtvHxesy9O3o4Y5GRDrg9_BGg3eb0GIfqdtShN7vaBxgg7TwP-_ops1VpI2LCBHPyLEFH_H8MBdkvXxY3z-x1cvj832xYp02iumMa1sZUUuTSytSYxuERmvBdSZEZSfpxJoaVIYJpDyvGw45iLSqVC2skQty_Xd2-v9zxDiUrYs1eg9bDGMsE81NMnWi0gm9PKBj1WJTdr1rod-V_1XJX7CCaxM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2506275947</pqid></control><display><type>article</type><title>A reaction-diffusion model of spatial propagation of A[Formula: see text] oligomers in early stage Alzheimer's disease</title><source>Springer Nature</source><creator>Andrade-Restrepo, Martin ; Ciuperca, Ionel Sorin ; Lemarre, Paul ; Pujo-Menjouet, Laurent ; Tine, Léon Matar</creator><creatorcontrib>Andrade-Restrepo, Martin ; Ciuperca, Ionel Sorin ; Lemarre, Paul ; Pujo-Menjouet, Laurent ; Tine, Léon Matar</creatorcontrib><description>The misconformation and aggregation of the protein Amyloid-Beta (A[Formula: see text]) is a key event in the propagation of Alzheimer's Disease (AD). Different types of assemblies are identified, with long fibrils and plaques deposing during the late stages of AD. In the earlier stages, the disease spread is driven by the formation and the spatial propagation of small amorphous assemblies called oligomers. We propose a model dedicated to studying those early stages, in the vicinity of a few neurons and after a polymer seed has been formed. We build a reaction-diffusion model, with a Becker-Döring-like system that includes fragmentation and size-dependent diffusion. We hereby establish the theoretical framework necessary for the proper use of this model, by proving the existence of solutions using a fixed point method.</description><identifier>EISSN: 1432-1416</identifier><identifier>DOI: 10.1007/s00285-021-01593-3</identifier><identifier>PMID: 33768404</identifier><language>eng</language><publisher>Germany</publisher><ispartof>Journal of mathematical biology, 2021-03, Vol.82 (5), p.39-39</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><orcidid>0000-0003-2872-6201</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/33768404$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Andrade-Restrepo, Martin</creatorcontrib><creatorcontrib>Ciuperca, Ionel Sorin</creatorcontrib><creatorcontrib>Lemarre, Paul</creatorcontrib><creatorcontrib>Pujo-Menjouet, Laurent</creatorcontrib><creatorcontrib>Tine, Léon Matar</creatorcontrib><title>A reaction-diffusion model of spatial propagation of A[Formula: see text] oligomers in early stage Alzheimer's disease</title><title>Journal of mathematical biology</title><addtitle>J Math Biol</addtitle><description>The misconformation and aggregation of the protein Amyloid-Beta (A[Formula: see text]) is a key event in the propagation of Alzheimer's Disease (AD). Different types of assemblies are identified, with long fibrils and plaques deposing during the late stages of AD. In the earlier stages, the disease spread is driven by the formation and the spatial propagation of small amorphous assemblies called oligomers. We propose a model dedicated to studying those early stages, in the vicinity of a few neurons and after a polymer seed has been formed. We build a reaction-diffusion model, with a Becker-Döring-like system that includes fragmentation and size-dependent diffusion. We hereby establish the theoretical framework necessary for the proper use of this model, by proving the existence of solutions using a fixed point method.</description><issn>1432-1416</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNo1kE9LxDAQxYMg7rr6BTxIbnqJJs2ftt6KuCoseNmbSJm2kzWSbmrTiuunt4srPJjHmx_D8Ai5EPxGcJ7eRs6TTDOeCMaFziWTR2QulEyYUMLMyGmMH5yLVOfihMykTE2muJqTr4L2CPXgwpY1ztoxTo62oUFPg6Wxg8GBp10fOtjAHtvHxesy9O3o4Y5GRDrg9_BGg3eb0GIfqdtShN7vaBxgg7TwP-_ops1VpI2LCBHPyLEFH_H8MBdkvXxY3z-x1cvj832xYp02iumMa1sZUUuTSytSYxuERmvBdSZEZSfpxJoaVIYJpDyvGw45iLSqVC2skQty_Xd2-v9zxDiUrYs1eg9bDGMsE81NMnWi0gm9PKBj1WJTdr1rod-V_1XJX7CCaxM</recordid><startdate>20210325</startdate><enddate>20210325</enddate><creator>Andrade-Restrepo, Martin</creator><creator>Ciuperca, Ionel Sorin</creator><creator>Lemarre, Paul</creator><creator>Pujo-Menjouet, Laurent</creator><creator>Tine, Léon Matar</creator><scope>NPM</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-2872-6201</orcidid></search><sort><creationdate>20210325</creationdate><title>A reaction-diffusion model of spatial propagation of A[Formula: see text] oligomers in early stage Alzheimer's disease</title><author>Andrade-Restrepo, Martin ; Ciuperca, Ionel Sorin ; Lemarre, Paul ; Pujo-Menjouet, Laurent ; Tine, Léon Matar</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p564-5805fb61c3693f176fdead55105811bf1bf52f6ca48e2a709cd0a9a17bb4c1f63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Andrade-Restrepo, Martin</creatorcontrib><creatorcontrib>Ciuperca, Ionel Sorin</creatorcontrib><creatorcontrib>Lemarre, Paul</creatorcontrib><creatorcontrib>Pujo-Menjouet, Laurent</creatorcontrib><creatorcontrib>Tine, Léon Matar</creatorcontrib><collection>PubMed</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of mathematical biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Andrade-Restrepo, Martin</au><au>Ciuperca, Ionel Sorin</au><au>Lemarre, Paul</au><au>Pujo-Menjouet, Laurent</au><au>Tine, Léon Matar</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A reaction-diffusion model of spatial propagation of A[Formula: see text] oligomers in early stage Alzheimer's disease</atitle><jtitle>Journal of mathematical biology</jtitle><addtitle>J Math Biol</addtitle><date>2021-03-25</date><risdate>2021</risdate><volume>82</volume><issue>5</issue><spage>39</spage><epage>39</epage><pages>39-39</pages><eissn>1432-1416</eissn><abstract>The misconformation and aggregation of the protein Amyloid-Beta (A[Formula: see text]) is a key event in the propagation of Alzheimer's Disease (AD). Different types of assemblies are identified, with long fibrils and plaques deposing during the late stages of AD. In the earlier stages, the disease spread is driven by the formation and the spatial propagation of small amorphous assemblies called oligomers. We propose a model dedicated to studying those early stages, in the vicinity of a few neurons and after a polymer seed has been formed. We build a reaction-diffusion model, with a Becker-Döring-like system that includes fragmentation and size-dependent diffusion. We hereby establish the theoretical framework necessary for the proper use of this model, by proving the existence of solutions using a fixed point method.</abstract><cop>Germany</cop><pmid>33768404</pmid><doi>10.1007/s00285-021-01593-3</doi><tpages>1</tpages><orcidid>https://orcid.org/0000-0003-2872-6201</orcidid></addata></record>
fulltext fulltext
identifier EISSN: 1432-1416
ispartof Journal of mathematical biology, 2021-03, Vol.82 (5), p.39-39
issn 1432-1416
language eng
recordid cdi_proquest_miscellaneous_2506275947
source Springer Nature
title A reaction-diffusion model of spatial propagation of A[Formula: see text] oligomers in early stage Alzheimer's disease
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T05%3A09%3A36IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pubme&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20reaction-diffusion%20model%20of%20spatial%20propagation%20of%20A%5BFormula:%20see%20text%5D%20oligomers%20in%20early%20stage%20Alzheimer's%20disease&rft.jtitle=Journal%20of%20mathematical%20biology&rft.au=Andrade-Restrepo,%20Martin&rft.date=2021-03-25&rft.volume=82&rft.issue=5&rft.spage=39&rft.epage=39&rft.pages=39-39&rft.eissn=1432-1416&rft_id=info:doi/10.1007/s00285-021-01593-3&rft_dat=%3Cproquest_pubme%3E2506275947%3C/proquest_pubme%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-p564-5805fb61c3693f176fdead55105811bf1bf52f6ca48e2a709cd0a9a17bb4c1f63%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2506275947&rft_id=info:pmid/33768404&rfr_iscdi=true