A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci

Bibliographic Details
Main Author: Figueiredo, Isabel N.
Publication Date: 2008
Other Authors: Figueiredo, Pedro N., Leal, Carlos, Urbano, José Miguel
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/11197
Summary: In this paper, we propose mathematical models for the growth dynamics of aberrant crypt foci in the human colon, as well as for some of their characteristics, namely the apoptosis and proliferation indices. The models rely on logistic type differential equations and clinical observations at different times, and can arguably be used as an auxiliary screening tool for colon cancer. We report several results using available medical data.
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spelling A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt fociAberrant crypt fociLogistic differential equationApoptosis indexProliferation indexColorectal cancerIn this paper, we propose mathematical models for the growth dynamics of aberrant crypt foci in the human colon, as well as for some of their characteristics, namely the apoptosis and proliferation indices. The models rely on logistic type differential equations and clinical observations at different times, and can arguably be used as an auxiliary screening tool for colon cancer. We report several results using available medical data.Centro de Matemática da Universidade de Coimbra2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/11197https://hdl.handle.net/10316/11197engPré-Publicações DMUC. 08-01 (2008)Figueiredo, Isabel N.Figueiredo, Pedro N.Leal, CarlosUrbano, José Miguelinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-29T10:04:37Zoai:estudogeral.uc.pt:10316/11197Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:17.597182Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
title A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
spellingShingle A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
Figueiredo, Isabel N.
Aberrant crypt foci
Logistic differential equation
Apoptosis index
Proliferation index
Colorectal cancer
title_short A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
title_full A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
title_fullStr A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
title_full_unstemmed A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
title_sort A mathematical model for a comprehensive approach to the dynamics of human colonic aberrant crypt foci
author Figueiredo, Isabel N.
author_facet Figueiredo, Isabel N.
Figueiredo, Pedro N.
Leal, Carlos
Urbano, José Miguel
author_role author
author2 Figueiredo, Pedro N.
Leal, Carlos
Urbano, José Miguel
author2_role author
author
author
dc.contributor.author.fl_str_mv Figueiredo, Isabel N.
Figueiredo, Pedro N.
Leal, Carlos
Urbano, José Miguel
dc.subject.por.fl_str_mv Aberrant crypt foci
Logistic differential equation
Apoptosis index
Proliferation index
Colorectal cancer
topic Aberrant crypt foci
Logistic differential equation
Apoptosis index
Proliferation index
Colorectal cancer
description In this paper, we propose mathematical models for the growth dynamics of aberrant crypt foci in the human colon, as well as for some of their characteristics, namely the apoptosis and proliferation indices. The models rely on logistic type differential equations and clinical observations at different times, and can arguably be used as an auxiliary screening tool for colon cancer. We report several results using available medical data.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/11197
https://hdl.handle.net/10316/11197
url https://hdl.handle.net/10316/11197
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 08-01 (2008)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602338899623936

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