Basic principles of mathematical growth modeling applied to high-grade gliomas: A brief clinical review for clinicians
The battle against cancer has intensified in the last decade. New experimental techniques and theoretical models have been been proposed to understand the behavior, growth, and evolution of different types of brain tumors. Unfortunately, for glioblastoma multiforme (GBM), except for methylation of t...
Saved in:
Published in | Neurology India Vol. 66; no. 6; pp. 1575 - 1583 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
India
Wolters Kluwer India Pvt. Ltd
01.11.2018
Medknow Publications and Media Pvt. Ltd Medknow Publications & Media Pvt. Ltd |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | The battle against cancer has intensified in the last decade. New experimental techniques and theoretical models have been been proposed to understand the behavior, growth, and evolution of different types of brain tumors. Unfortunately, for glioblastoma multiforme (GBM), except for methylation of the O6-methylguanine-DNA methyltransferase (MGMT) promoter that has some benefit in the local control of tumors using alkylating agents such as temozolomide, to date personalized treatments do not exist. In this article, we present a comprehensive review of different aspects intertwined in the mathematical growth modeling applied to high-grade gliomas. We briefly cover the following fundamental aspects related to the conventional imaging in GBM: defining the tumor regions in GBM, segmentation of the tumor regions using magnetic resonance imaging (MRI) of the brain, response assessment using the neuro-oncology response criteria versus the Macdonald criteria, availability of software for the segmentation of MRI of the brain, mathematical modeling applied to tumor growth, principles of mathematical modeling, factors involved in tumor growth models, mathematical modeling based on imaging data, most common equations used in high-grade glioma growth modeling, integration of mathematical growth models in computer simulators, tumor growth modeling as a part of brain's complex system, and challenges in mathematical growth modeling. We conclude by saying that it is the combination of biomedical imaging and mathematical modeling that allows the assembling of clinically relevant models of tumor growth and treatment response; the most appropriate model will depend on the premise and findings of each experiment. |
---|---|
AbstractList | The battle against cancer has intensified in the last decade. New experimental techniques and theoretical models have been been proposed to understand the behavior, growth, and evolution of different types of brain tumors. Unfortunately, for glioblastoma multiforme (GBM), except for methylation of the O6-methylguanine-DNA methyltransferase (MGMT) promoter that has some benefit in the local control of tumors using alkylating agents such as temozolomide, to date personalized treatments do not exist. In this article, we present a comprehensive review of different aspects intertwined in the mathematical growth modeling applied to high-grade gliomas. We briefly cover the following fundamental aspects related to the conventional imaging in GBM: defining the tumor regions in GBM, segmentation of the tumor regions using magnetic resonance imaging (MRI) of the brain, response assessment using the neuro-oncology response criteria versus the Macdonald criteria, availability of software for the segmentation of MRI of the brain, mathematical modeling applied to tumor growth, principles of mathematical modeling, factors involved in tumor growth models, mathematical modeling based on imaging data, most common equations used in high-grade glioma growth modeling, integration of mathematical growth models in computer simulators, tumor growth modeling as a part of brain's complex system, and challenges in mathematical growth modeling. We conclude by saying that it is the combination of biomedical imaging and mathematical modeling that allows the assembling of clinically relevant models of tumor growth and treatment response; the most appropriate model will depend on the premise and findings of each experiment. |
Audience | Academic |
Author | Cisneros-Sanchez, Ana Flores-Alvarez, Eduardo Roldan-Valadez, Ernesto Melendez-Mier, Guillermo |
Author_xml | – sequence: 1 givenname: Ana surname: Cisneros-Sanchez fullname: Cisneros-Sanchez, Ana organization: Directorate of Research, General Hospital of Mexico "Dr. Eduardo Liceaga", Mexico City – sequence: 2 givenname: Eduardo surname: Flores-Alvarez fullname: Flores-Alvarez, Eduardo organization: Department of Neurosurgery, General Hospital of Mexico "Dr. Eduardo Liceaga", Mexico City – sequence: 3 givenname: Guillermo surname: Melendez-Mier fullname: Melendez-Mier, Guillermo organization: Directorate of Research, General Hospital of Mexico "Dr. Eduardo Liceaga", Mexico City – sequence: 4 givenname: Ernesto surname: Roldan-Valadez fullname: Roldan-Valadez, Ernesto organization: Directorate of Research, General Hospital of Mexico "Dr. Eduardo Liceaga", Mexico City, Mexico; I.M. Sechenov First Moscow State Medical University (Sechenov University), Department of Radiology, Moscow, Russia |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/30504543$$D View this record in MEDLINE/PubMed |
BookMark | eNptkktv3CAUhVGVqpmk3XdVIXXTjac8bdzdJOojUqRu2jVi8LWHBBsX7Iz678s8kjbVCAkEfOfowj0X6GwIAyD0lpKloIR_JISpgitVLpkoGVcv0ILWtSoEYewMLZ6uz9FFSnd5yzllr9A5J5IIKfgCPVyZ5CweoxusGz0kHFrcm2kDeXLWeNzFsJ02uA8NeDd02Iyjd9DgKeCN6zZFF00DuPMu9CZ9wiu8jg5abDO810d4cLDFbYjHM2eG9Bq9bI1P8Oa4XqKfXz7_uP5W3H7_enO9ui2sqJUvlOC0ZLWqrKG0Uk3VMEbWhlSMQ8kEpVbyWrUEyqpdM6lYa6E2tKkMNJRbwS_Rh4PvGMOvGdKke5cseG8GCHPSjIqa5C8rZUbf_4fehTkOubpMSUFKKWT1l-qMB-2GNkzR2J2pXslS0pLTPVWcoDoYIBqfW9i6fPyMX57g82igd_akgBwENoaUIrQ6d7A38bemRO-ioXe917ve60M0suTd8X3zuofmSfCYhQzcHIBt8BPEdO_nLUSd2fshbJ8ZF_8Y61yP1PsY6ccY8T8bq8rJ |
CitedBy_id | crossref_primary_10_3390_diagnostics13162669 |
Cites_doi | 10.1137/1.9780898718256 |
ContentType | Journal Article |
Copyright | COPYRIGHT 2018 Medknow Publications and Media Pvt. Ltd. 2018. This work is published under https://creativecommons.org/licenses/by-nc-sa/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
Copyright_xml | – notice: COPYRIGHT 2018 Medknow Publications and Media Pvt. Ltd. – notice: 2018. This work is published under https://creativecommons.org/licenses/by-nc-sa/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
DBID | NPM AAYXX CITATION 3V. 7X7 7XB 88E 8FI 8FJ 8FK 8G5 ABUWG AFKRA AZQEC BENPR CCPQU DWQXO FYUFA GHDGH GNUQQ GUQSH K9. M0S M1P M2O MBDVC PIMPY PQEST PQQKQ PQUKI PRINS Q9U 7X8 |
DOI | 10.4103/0028-3886.246238 |
DatabaseName | PubMed CrossRef ProQuest Central (Corporate) ProQuest - Health & Medical Complete保健、医学与药学数据库 ProQuest Central (purchase pre-March 2016) Medical Database (Alumni Edition) Hospital Premium Collection Hospital Premium Collection (Alumni Edition) ProQuest Central (Alumni) (purchase pre-March 2016) Research Library (Alumni Edition) ProQuest Central (Alumni) ProQuest Central ProQuest Central Essentials ProQuest Central ProQuest One Community College ProQuest Central Korea Health Research Premium Collection Health Research Premium Collection (Alumni) ProQuest Central Student Research Library Prep ProQuest Health & Medical Complete (Alumni) Health & Medical Collection (Alumni Edition) PML(ProQuest Medical Library) ProQuest research library Research Library (Corporate) Publicly Available Content Database ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China ProQuest Central Basic MEDLINE - Academic |
DatabaseTitle | PubMed CrossRef Publicly Available Content Database Research Library Prep ProQuest Central Student ProQuest Central Essentials ProQuest Health & Medical Complete (Alumni) ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Central China ProQuest Central Health Research Premium Collection Health and Medicine Complete (Alumni Edition) ProQuest Central Korea ProQuest Research Library ProQuest Medical Library (Alumni) ProQuest Central Basic ProQuest One Academic Eastern Edition ProQuest Hospital Collection Health Research Premium Collection (Alumni) ProQuest Hospital Collection (Alumni) ProQuest Health & Medical Complete ProQuest Medical Library ProQuest One Academic UKI Edition ProQuest One Academic ProQuest Central (Alumni) MEDLINE - Academic |
DatabaseTitleList | MEDLINE - Academic Publicly Available Content Database PubMed |
Database_xml | – sequence: 1 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 2 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Medicine |
EISSN | 1998-4022 |
EndPage | 1583 |
ExternalDocumentID | A565163157 10_4103_0028_3886_246238 30504543 10.4103/0028-3886.246238_1575_Basic principl |
Genre | Journal Article |
GeographicLocations | Mexico |
GeographicLocations_xml | – name: Mexico |
GroupedDBID | - 123 29N 2WC 3V. 53G 5VS 7X7 88E 8FI 8FJ 8G5 AAWTL ABDBF ABPTK ABUWG ACGFS ADACO ADBBV AENEX AFKRA AGCAB AHMBA ALMA_UNASSIGNED_HOLDINGS AZQEC B0M BAWUL BBAFP BENPR BPHCQ BVXVI DIK DU5 DWQXO E3Z EAD EAP EBD EBS EJD EMB EMK EPL ESX F5P FYUFA GNUQQ GROUPED_DOAJ GUQSH GX1 H13 IAO IEA IGS IHR INH INR IOF IPO IPY ITC KQ8 LI0 M1P M2O M~E O0- OBODZ OK1 P2P PADUT PIMPY PQEST PQQKQ PQUKI PRINS PROAC PSQYO RBI RMW RNS SV3 TR2 TUS XSB --- .55 36B ABJNI ABXLX ACGFO ACIHN AEAQA ALIPV CCPQU EMOBN EOJEC HMCUK IHE IL9 NPM OVD P6G TEORI UKHRP X7M ~8M AAYXX CITATION 7XB 8FK K9. MBDVC Q9U 7X8 |
ID | FETCH-LOGICAL-c498l-843162987ca1178d7d220ba0723e62411c5398f0e67fb2582fce9a1d7aed13c43 |
IEDL.DBID | 7X7 |
ISSN | 0028-3886 |
IngestDate | Sat Aug 17 02:54:47 EDT 2024 Thu Oct 10 17:40:30 EDT 2024 Fri Feb 23 00:04:00 EST 2024 Fri Feb 02 04:55:27 EST 2024 Fri Feb 02 03:59:40 EST 2024 Fri Aug 23 01:46:23 EDT 2024 Sat Sep 28 08:35:35 EDT 2024 Tue Jun 01 03:10:54 EDT 2021 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 6 |
Keywords | mathematical model glioblastoma multiforme tumor growthKey Message: A combination of biomedical imaging and mathematical modeling permits clinically relevant models of tumor growth and treatment response to develop that are intimately related to the management of glioblastomas Brain tumors tumor growth |
Language | English |
License | http://creativecommons.org/licenses/by-nc-sa/4.0 |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c498l-843162987ca1178d7d220ba0723e62411c5398f0e67fb2582fce9a1d7aed13c43 |
Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
OpenAccessLink | https://www.proquest.com/docview/2154065457?pq-origsite=%requestingapplication% |
PMID | 30504543 |
PQID | 2154065457 |
PQPubID | 28294 |
PageCount | 9 |
ParticipantIDs | proquest_miscellaneous_2149019965 proquest_journals_2154065457 gale_infotracmisc_A565163157 gale_infotracgeneralonefile_A565163157 gale_infotracacademiconefile_A565163157 crossref_primary_10_4103_0028_3886_246238 pubmed_primary_30504543 wolterskluwer_medknow_10_4103_0028-3886_246238_1575_Basic_principl |
ProviderPackageCode | RMW |
PublicationCentury | 2000 |
PublicationDate | 20181101 |
PublicationDateYYYYMMDD | 2018-11-01 |
PublicationDate_xml | – month: 11 year: 2018 text: 20181101 day: 01 |
PublicationDecade | 2010 |
PublicationPlace | India |
PublicationPlace_xml | – name: India – name: Mumbai |
PublicationTitle | Neurology India |
PublicationTitleAlternate | Neurol India |
PublicationYear | 2018 |
Publisher | Wolters Kluwer India Pvt. Ltd Medknow Publications and Media Pvt. Ltd Medknow Publications & Media Pvt. Ltd |
Publisher_xml | – name: Wolters Kluwer India Pvt. Ltd – name: Medknow Publications and Media Pvt. Ltd – name: Medknow Publications & Media Pvt. Ltd |
References | Carlotto (key-10.4103/0028-3886.246238-2) 2013 Hagmann (key-10.4103/0028-3886.246238-52) 2008 Hartung (key-10.4103/0028-3886.246238-57) 2014 Seidel (key-10.4103/0028-3886.246238-13) 2011 Hong (key-10.4103/0028-3886.246238-48) 2016 Gordillo (key-10.4103/0028-3886.246238-24) 2013 Ostrom (key-10.4103/0028-3886.246238-6) 2014 Dethlefsen (key-10.4103/0028-3886.246238-44) 1968 Holland (key-10.4103/0028-3886.246238-15) 2001 key-10.4103/0028-3886.246238-28 key-10.4103/0028-3886.246238-27 Laird (key-10.4103/0028-3886.246238-41) 1965 Telesford (key-10.4103/0028-3886.246238-50) 2011 Lones (key-10.4103/0028-3886.246238-64) 2013 Louis (key-10.4103/0028-3886.246238-7) 2016 Emerick (key-10.4103/0028-3886.246238-63) 2013 Atuegwu (key-10.4103/0028-3886.246238-39) 2010 Vaidya (key-10.4103/0028-3886.246238-68) 1982 Vlahou (key-10.4103/0028-3886.246238-65) 2013 Altrock (key-10.4103/0028-3886.246238-31) 2015 Honey (key-10.4103/0028-3886.246238-54) 2009 Sarapata (key-10.4103/0028-3886.246238-55) 2014 Serres (key-10.4103/0028-3886.246238-58) 2014 Sorensen (key-10.4103/0028-3886.246238-19) 2008 Agur (key-10.4103/0028-3886.246238-3) 2014 Kolobov (key-10.4103/0028-3886.246238-61) 2015 Menze (key-10.4103/0028-3886.246238-22) 2015 Rana (key-10.4103/0028-3886.246238-23) 2015 Patt (key-10.4103/0028-3886.246238-67) 1954 Chow (key-10.4103/0028-3886.246238-21) 2014 Murphy (key-10.4103/0028-3886.246238-29) 2016 Auffray (key-10.4103/0028-3886.246238-49) 2009 Gutman (key-10.4103/0028-3886.246238-26) 2013 Stevens (key-10.4103/0028-3886.246238-51) 2014 Cooper (key-10.4103/0028-3886.246238-62) 2010 Laird (key-10.4103/0028-3886.246238-42) 1964 Summers (key-10.4103/0028-3886.246238-43) 1966 Agur (key-10.4103/0028-3886.246238-4) 2012 Bogdanska (key-10.4103/0028-3886.246238-5) 2017 Wodarz (key-10.4103/0028-3886.246238-46) 2009 Byrne (key-10.4103/0028-3886.246238-33) 1995 Cortez-Conradis (key-10.4103/0028-3886.246238-10) 2013 Xu (key-10.4103/0028-3886.246238-32) 2016 Byrne (key-10.4103/0028-3886.246238-36) 1996 Bodnar (key-10.4103/0028-3886.246238-37) 2005 Benzekry (key-10.4103/0028-3886.246238-56) 2014 Usher (key-10.4103/0028-3886.246238-47) 1996 Honey (key-10.4103/0028-3886.246238-53) 2007 Collins (key-10.4103/0028-3886.246238-66) 1956 Roldan-Valadez (key-10.4103/0028-3886.246238-11) 2014 Le (key-10.4103/0028-3886.246238-40) 2016 Atuegwu (key-10.4103/0028-3886.246238-38) 2012 Wang (key-10.4103/0028-3886.246238-9) 2009 Roldan-Valadez (key-10.4103/0028-3886.246238-14) 2016 van (key-10.4103/0028-3886.246238-60) 2005 Friedman (key-10.4103/0028-3886.246238-35) 1999 Lim (key-10.4103/0028-3886.246238-16) 2007 Batash (key-10.4103/0028-3886.246238-8) 2017 Huber (key-10.4103/0028-3886.246238-20) 2017 Cui (key-10.4103/0028-3886.246238-34) 2000 Macdonald (key-10.4103/0028-3886.246238-17) 1990 Gerlee (key-10.4103/0028-3886.246238-45) 2013 Hanly (key-10.4103/0028-3886.246238-1) 2014 Wen (key-10.4103/0028-3886.246238-18) 2010 key-10.4103/0028-3886.246238-30 Porz (key-10.4103/0028-3886.246238-25) 2014 Cortez-Conradis (key-10.4103/0028-3886.246238-12) 2015 Yankeelov (key-10.4103/0028-3886.246238-59) 2007 |
References_xml | – start-page: 1112 volume-title: Diagnostic performance of regional DTI-derived tensor metrics in glioblastoma multiforme: Simultaneous evaluation of p, q, L, Cl, Cp, Cs, RA, RD, AD, mean diffusivity and fractional anisotropy year: 2013 ident: key-10.4103/0028-3886.246238-10 publication-title: Eur Radiol contributor: fullname: Cortez-Conradis – start-page: e4271 volume-title: Towards predictive computational models of oncolytic virus therapy: Basis for experimental validation and model selection year: 2009 ident: key-10.4103/0028-3886.246238-46 publication-title: PLoS One contributor: fullname: Wodarz – start-page: 1993 volume-title: The Multimodal Brain Tumor Image Segmentation Benchmark (BRATS) year: 2015 ident: key-10.4103/0028-3886.246238-22 publication-title: IEEE Trans Med Imaging contributor: fullname: Menze – start-page: 1 volume-title: Mathematical modeling in immunotherapy of cancer: Personalizing clinical trials year: 2012 ident: key-10.4103/0028-3886.246238-4 publication-title: Mol Ther contributor: fullname: Agur – start-page: 2429 volume-title: The integration of quantitative multi-modality imaging data into mathematical models of tumors year: 2010 ident: key-10.4103/0028-3886.246238-39 publication-title: Phys Med Biol contributor: fullname: Atuegwu – start-page: 355 volume-title: The cost of premature cancer-related mortality: A review and assessment of the evidence year: 2014 ident: key-10.4103/0028-3886.246238-1 publication-title: Expert Rev Pharmacoecon Outcomes Res contributor: fullname: Hanly – ident: key-10.4103/0028-3886.246238-28 doi: 10.1137/1.9780898718256 – start-page: 461 volume-title: Time delay in necrotic core formation year: 2005 ident: key-10.4103/0028-3886.246238-37 publication-title: Math Biosci Eng contributor: fullname: Bodnar – start-page: 391 volume-title: Quantitative studies of the growth response of the Krebs ascites tumor year: 1954 ident: key-10.4103/0028-3886.246238-67 publication-title: Cancer Res contributor: fullname: Patt – start-page: 389 volume-title: Analysis of tumor growth curves year: 1968 ident: key-10.4103/0028-3886.246238-44 publication-title: J Natl Cancer Inst contributor: fullname: Dethlefsen – start-page: 1963 volume-title: Updated response assessment criteria for high-grade gliomas: Response assessment in neuro-oncology working group year: 2010 ident: key-10.4103/0028-3886.246238-18 publication-title: J Clin Oncol contributor: fullname: Wen – start-page: e2016008 volume-title: Time to change from a simple linear model to a complex systems model year: 2016 ident: key-10.4103/0028-3886.246238-48 publication-title: Environ Health Toxicol contributor: fullname: Hong – start-page: e159 volume-title: Mapping the structural core of human cerebral cortex year: 2008 ident: key-10.4103/0028-3886.246238-52 publication-title: PLoS Biol contributor: fullname: Hagmann – start-page: 384 volume-title: Network views for personalized medicine year: 2013 ident: key-10.4103/0028-3886.246238-65 publication-title: Proteomics Clin Appl contributor: fullname: Vlahou – start-page: 120 volume-title: Gliomagenesis: Genetic alterations and mouse models year: 2001 ident: key-10.4103/0028-3886.246238-15 publication-title: Nat Rev Genet contributor: fullname: Holland – start-page: 355 volume-title: Development and evaluation of an automatic tumor segmentation tool: A comparison between automatic, semi-automatic and manual segmentation of mandibular odontogenic cysts and tumors year: 2015 ident: key-10.4103/0028-3886.246238-23 publication-title: J Craniomaxillofac Surg contributor: fullname: Rana – start-page: 94 volume-title: Characterising neurological time series data using biologically motivated networks of coupled discrete maps year: 2013 ident: key-10.4103/0028-3886.246238-64 publication-title: Biosystems contributor: fullname: Lones – start-page: 1426 volume-title: State of the art survey on MRI brain tumor segmentation year: 2013 ident: key-10.4103/0028-3886.246238-24 publication-title: Magn Reson Imaging contributor: fullname: Gordillo – start-page: 490 volume-title: Dynamics of tumor growth year: 1964 ident: key-10.4103/0028-3886.246238-42 publication-title: Br J Cancer contributor: fullname: Laird – start-page: 753 volume-title: The economic burden of toxicities associated with cancer treatment: Review of the literature and analysis of nausea and vomiting, diarrhoea, oral mucositis and fatigue year: 2013 ident: key-10.4103/0028-3886.246238-2 publication-title: Pharmacoeconomics contributor: fullname: Carlotto – start-page: e0179999 volume-title: A mathematical model describes the malignant transformation of low grade gliomas: Prognostic implications year: 2017 ident: key-10.4103/0028-3886.246238-5 publication-title: PLoS One contributor: fullname: Bogdanska – start-page: 10240 volume-title: Network structure of cerebral cortex shapes functional connectivity on multiple time scales year: 2007 ident: key-10.4103/0028-3886.246238-53 publication-title: Proc Natl Acad Sci U S A contributor: fullname: Honey – start-page: 239 volume-title: Personalizing oncology treatments by predicting drug efficacy, side-effects, and improved therapy: Mathematics, statistics, and their integration year: 2014 ident: key-10.4103/0028-3886.246238-3 publication-title: Wiley Interdiscip Rev Syst Biol Med contributor: fullname: Agur – start-page: 151 volume-title: Growth of nonnecrotic tumors in the presence and absence of inhibitors year: 1995 ident: key-10.4103/0028-3886.246238-33 publication-title: Math Biosci contributor: fullname: Byrne – start-page: 127 volume-title: Does age matter.- A MRI study on peritumoral edema in newly diagnosed primary glioblastoma? year: 2011 ident: key-10.4103/0028-3886.246238-13 publication-title: BMC Cancer contributor: fullname: Seidel – start-page: 1 volume-title: Integration of quantitative DCE-MRI and ADC mapping to monitor treatment response in human breast cancer: Initial results year: 2007 ident: key-10.4103/0028-3886.246238-59 publication-title: Magn Reson Imaging contributor: fullname: Yankeelov – start-page: S85 volume-title: MR angiography of tumor-related vasculature: From the clinic to the micro-environment year: 2005 ident: key-10.4103/0028-3886.246238-60 publication-title: Radiographics contributor: fullname: van – start-page: iv1 volume-title: CBTRUS statistical report: Primary brain and central nervous system tumors diagnosed in the United States in 2007-2011 year: 2014 ident: key-10.4103/0028-3886.246238-6 publication-title: Neurooncol contributor: fullname: Ostrom – start-page: 263 volume-title: Imaging angiogenesis, inflammation, and metastasis in the tumor microenvironment with magnetic resonance imaging year: 2014 ident: key-10.4103/0028-3886.246238-58 publication-title: Adv Exp Med Biol contributor: fullname: Serres – start-page: 225 volume-title: Incorporation of diffusion-weighted magnetic resonance imaging data into a simple mathematical model of tumor growth year: 2012 ident: key-10.4103/0028-3886.246238-38 publication-title: Phys Med Biol contributor: fullname: Atuegwu – start-page: 1277 volume-title: , Cairncross JG.Response criteria for phase II studies of supratentorial malignant glioma year: 1990 ident: key-10.4103/0028-3886.246238-17 publication-title: J Clin Oncol contributor: fullname: Macdonald – start-page: 127 volume-title: Global diffusion tensor imaging derived metrics differentiate glioblastoma multiforme vs.normal brains by using discriminant analysis: Introduction of a novel whole-brain approach year: 2014 ident: key-10.4103/0028-3886.246238-11 publication-title: Radiol Oncol contributor: fullname: Roldan-Valadez – start-page: 3643019 volume-title: A time-delayed mathematical model for tumor growth with the effect of a periodic therapy year: 2016 ident: key-10.4103/0028-3886.246238-32 publication-title: Comput Math Methods Med contributor: fullname: Xu – start-page: 3002 volume-title: Glioblastoma multiforme, diagnosis and treatment; recent literature review year: 2017 ident: key-10.4103/0028-3886.246238-8 publication-title: Curr Med Chem contributor: fullname: Batash – start-page: 2407 volume-title: The model muddle: In search of tumor growth laws year: 2013 ident: key-10.4103/0028-3886.246238-45 publication-title: Cancer Res contributor: fullname: Gerlee – start-page: 634 volume-title: Response criteria for glioma year: 2008 ident: key-10.4103/0028-3886.246238-19 publication-title: Nat Clin Pract Oncol contributor: fullname: Sorensen – start-page: 498 volume-title: Semiautomated volumetric measurement on postcontrast MR imaging for analysis of recurrent and residual disease in glioblastoma multiforme year: 2014 ident: key-10.4103/0028-3886.246238-21 publication-title: AJNR Am J Neuroradiol contributor: fullname: Chow – start-page: R79 volume-title: Network analysis: A new approach to study endocrine disorders year: 2014 ident: key-10.4103/0028-3886.246238-51 publication-title: J Mol Endocrinol contributor: fullname: Stevens – ident: key-10.4103/0028-3886.246238-27 – start-page: 99 volume-title: Some drug-resistant models for cancer chemotherapy.Part 1: Cycle-nonspecific drugs year: 1996 ident: key-10.4103/0028-3886.246238-47 publication-title: IMA J Math Appl Med Biol contributor: fullname: Usher – start-page: e1003800 volume-title: Classical mathematical models for description and prediction of experimental tumor growth year: 2014 ident: key-10.4103/0028-3886.246238-56 publication-title: PLoS Comput Biol contributor: fullname: Benzekry – start-page: 6397 volume-title: Mathematical modeling of tumor growth and metastatic spreading: Validation in tumor-bearing mice year: 2014 ident: key-10.4103/0028-3886.246238-57 publication-title: Cancer Res contributor: fullname: Hartung – start-page: 542 volume-title: Coupled mathematical model of tumorigenesis and angiogenesis in vascular tumours year: 2010 ident: key-10.4103/0028-3886.246238-62 publication-title: Cell Prolif contributor: fullname: Cooper – start-page: 153 volume-title: Reliability of semi-automated segmentations in glioblastoma year: 2017 ident: key-10.4103/0028-3886.246238-20 publication-title: Clin Neuroradiol contributor: fullname: Huber – start-page: 803 volume-title: The 2016 World Health Organization Classification of Tumors of the Central Nervous System: A summary year: 2016 ident: key-10.4103/0028-3886.246238-7 publication-title: Acta Neuropathol contributor: fullname: Louis – start-page: 262 volume-title: Analysis of a mathematical model for the growth of tumors year: 1999 ident: key-10.4103/0028-3886.246238-35 publication-title: J Math Biol contributor: fullname: Friedman – start-page: 278 volume-title: Dynamics of tumour growth: Comparison of growth rates and extrapolation of growth curve to one cell year: 1965 ident: key-10.4103/0028-3886.246238-41 publication-title: Br J Cancer contributor: fullname: Laird – start-page: 103 volume-title: Analysis of a mathematical model of the effect of inhibitors on the growth of tumors year: 2000 ident: key-10.4103/0028-3886.246238-34 publication-title: Math Biosci contributor: fullname: Cui – start-page: 20150502 volume-title: Choline-to-N-acetyl aspartate and lipids-lactate-to-creatine ratios together with age assemble a significant Cox's proportional-hazards regression model for prediction of survival in high-grade gliomas year: 2016 ident: key-10.4103/0028-3886.246238-14 publication-title: Br J Radiol contributor: fullname: Roldan-Valadez – start-page: 424 volume-title: Relationship of glioblastoma multiforme to neural stem cell regions predicts invasive and multifocal tumor phenotype year: 2007 ident: key-10.4103/0028-3886.246238-16 publication-title: Neurooncol contributor: fullname: Lim – ident: key-10.4103/0028-3886.246238-30 – start-page: 333 volume-title: Dynamics of tumor growth: A mathematical model year: 1966 ident: key-10.4103/0028-3886.246238-43 publication-title: Growth contributor: fullname: Summers – start-page: 405 volume-title: Partial correlation analyses of global diffusion tensor imaging-derived metrics in glioblastoma multiforme: Pilot study year: 2015 ident: key-10.4103/0028-3886.246238-12 publication-title: World J Radiol contributor: fullname: Cortez-Conradis – start-page: 560 volume-title: MR imaging predictors of molecular profile and survival: Multi-institutional study of the TCGA glioblastoma data set year: 2013 ident: key-10.4103/0028-3886.246238-26 publication-title: Radiology contributor: fullname: Gutman – start-page: 988 volume-title: Observation on growth rates of human tumors year: 1956 ident: key-10.4103/0028-3886.246238-66 publication-title: Am J Roentgenol contributor: fullname: Collins – start-page: 163 volume-title: Differences in predictions of ODE models of tumor growth: A cautionary example year: 2016 ident: key-10.4103/0028-3886.246238-29 publication-title: BMC Cancer contributor: fullname: Murphy – start-page: 187 volume-title: Growth of necrotic tumors in the presence and absence of inhibitors year: 1996 ident: key-10.4103/0028-3886.246238-36 publication-title: Math Biosci contributor: fullname: Byrne – start-page: 730 volume-title: The mathematics of cancer: Integrating quantitative models year: 2015 ident: key-10.4103/0028-3886.246238-31 publication-title: Nat Rev Cancer contributor: fullname: Altrock – start-page: 2329 volume-title: MRI based Bayesian personalization of a tumor growth model year: 2016 ident: key-10.4103/0028-3886.246238-40 publication-title: IEEE Trans Med Imaging contributor: fullname: Le – start-page: 2035 volume-title: Predicting human resting-state functional connectivity from structural connectivity year: 2009 ident: key-10.4103/0028-3886.246238-54 publication-title: Proc Natl Acad Sci U S A contributor: fullname: Honey – start-page: 9133 volume-title: Prognostic significance of growth kinetics in newly diagnosed glioblastomas revealed by combining serial imaging with a novel biomathematical model year: 2009 ident: key-10.4103/0028-3886.246238-9 publication-title: Cancer Res contributor: fullname: Wang – start-page: e96873 volume-title: Multi-modal glioblastoma segmentation: Man versus machine year: 2014 ident: key-10.4103/0028-3886.246238-25 publication-title: PLoS One contributor: fullname: Porz – start-page: 295 volume-title: The brain as a complex system: Using network science as a tool for understanding the brain year: 2011 ident: key-10.4103/0028-3886.246238-50 publication-title: Brain Connect contributor: fullname: Telesford – start-page: 572 volume-title: Initial clinical findings of a mathematical model to predict survival of head and neck cancer year: 2013 ident: key-10.4103/0028-3886.246238-63 publication-title: Otolaryngol Head Neck Surg contributor: fullname: Emerick – start-page: 19 volume-title: Evaluation of some mathematical models for tumor growth year: 1982 ident: key-10.4103/0028-3886.246238-68 publication-title: Int J Biomed Comput contributor: fullname: Vaidya – start-page: 2 volume-title: Systems medicine: The future of medical genomics and healthcare year: 2009 ident: key-10.4103/0028-3886.246238-49 publication-title: Genome Med contributor: fullname: Auffray – start-page: 2010 volume-title: A comparison and catalog of intrinsic tumor growth models year: 2014 ident: key-10.4103/0028-3886.246238-55 publication-title: Bull Math Biol contributor: fullname: Sarapata – start-page: 555 volume-title: Investigation of the influence of angiogenesis on tumor growth with the use of a mathematical model year: 2015 ident: key-10.4103/0028-3886.246238-61 publication-title: Biofizika contributor: fullname: Kolobov |
SSID | ssj0023312 |
Score | 2.2106593 |
Snippet | The battle against cancer has intensified in the last decade. New experimental techniques and theoretical models have been been proposed to understand the... |
SourceID | proquest gale crossref pubmed wolterskluwer |
SourceType | Aggregation Database Index Database Publisher |
StartPage | 1575 |
SubjectTerms | Brain cancer Brain research Brain tumors Cancer Cancer therapies Development and progression Disease DNA Glioblastomas Glioma Gliomas Magnetic resonance imaging Mathematical models Medical prognosis Medical research Methylation NMR Nuclear magnetic resonance Transferases Tumors |
Title | Basic principles of mathematical growth modeling applied to high-grade gliomas: A brief clinical review for clinicians |
URI | http://www.neurologyindia.com/article.asp?issn=0028-3886;year=2018;volume=66;issue=6;spage=1575;epage=1583;aulast=Cisneros%2DSanchez;type=0 https://www.ncbi.nlm.nih.gov/pubmed/30504543 https://www.proquest.com/docview/2154065457 https://search.proquest.com/docview/2149019965 |
Volume | 66 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3daxQxEA_agghF_O5qLRFE8WHt5WOTrC9yJy1FaBGxcG8hm82eYnt73m7133dmN3u9FfE1H-wmM5P5TSYzQ8irnHmlQQJTIG6VSpWVaSF5lbpc6kKBvigUxjufnavTC_lpns3jhVsTn1UOZ2J3UJe1xzvyI1BNEgMhM_1h9TPFqlHoXY0lNG6TXcYBTAA_6_mNwSUE40MWZmFMdFNKNhFHm7Z3XAICMCO19PfhvKWd9n7X6MVufnSP2LdU0cl9ci9iSDrtif6A3ArLh-TOWfSSPyK_Zg72nq6Ge_SG1hW92uRnhakLML7bb7QrgwO6i7oei9K2ppi_OF2sXRno4vI7vh56T6e0AIu6okMYJe0DXigA3tgGTNY8Jhcnx18_nqaxvkLqZW4uU4Nh8Dw32jvGtCl1yfmkcBPNRVCg2ZnPRG6qSVC6KnhmeOVD7lipXSiZ8FI8ITvLehn2CQXqlJVwpeChkLkWDut-qpAb5Z1WQSbk7bC9dtWn0bBgfiApLJLCIilsT4qEvMH9tyhh7dp5FwMF4EuYq8pOAYMCimSZTsjr0chFn6n7XwMPRgNBhPy4eyC1jSLc2BuGS8jLTTfOxGdpy1Bf4xgJeApMxiwhT3sW2SwPDlJMbygSMhvxjL3q4xxH60-31m_hjzLbcYodOOXZ___wObkLQM70MZIHZKddX4cXAJba4rCTiEOyOzs-__zlDzhxD-E |
link.rule.ids | 315,786,790,12083,21416,27955,27956,31752,31753,33777,33778,43343,43838 |
linkProvider | ProQuest |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3db9MwELdgSDAJIT5HYICREIgHs8Z2bIcX1CGmAuueNqlvluM4BbE1pc3g3-cucboGIV79ocS-O9_vfL47Ql7lqVcaJJABcSsmVVayQvKKuVzqQoG-KBTGO09P1ORMfplls3jhto7PKvszsT2oy9rjHfkBqCaJgZCZ_rD8ybBqFHpXYwmN6-SGFEIin-vZlcElRMr7LMzCmOimlOlIHGza3nEJCMAM1NLfh_OWdrr9u0Yv9vpH-4h9SxUd3SV3Ioak447o98i1sLhPbk6jl_wB-XXoYO_psr9HX9O6oheb_KwwdQ7Gd_ONtmVwQHdR12FR2tQU8xez-cqVgc7Pv-Profd0TAuwqCvah1HSLuCFAuCNbcBk64fk7OjT6ccJi_UVmJe5OWcGw-B5brR3aapNqUvOR4UbaS6CAs2e-kzkphoFpauCZ4ZXPuQuLbULZSq8FI_IzqJehMeEAnXKSrhS8FDIXAuHdT9VyI3yTqsgE_K231677NJoWDA_kBQWSWGRFLYjRULe4P5blLBm5byLgQLwJcxVZceAQQFFpplOyOvByHmXqftfA_cHA0GE_LC7J7WNIry2VwyXkJebbpyJz9IWob7EMRLwFJiMWUL2OhbZLA8OUkxvKBJyOOAZe9HFOQ7Wz7bWb-GPMttyiu055cn___AFuTU5nR7b488nX5-SXQB1pouX3Cc7zeoyPAPg1BTPW-n4A5e3ETQ |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Basic+principles+of+mathematical+growth+modeling+applied+to+high-grade+gliomas%3A+A+brief+clinical+review+for+clinicians&rft.jtitle=Neurology+India&rft.au=Cisneros-Sanchez%2C+Ana+Karina&rft.au=Flores-Alvarez%2C+Eduardo&rft.au=Melendez-Mier%2C+Guillermo&rft.au=Roldan-Valadez%2C+Ernesto&rft.date=2018-11-01&rft.issn=0028-3886&rft.volume=66&rft.issue=6&rft.spage=1575&rft_id=info:doi/10.4103%2F0028-3886.246238&rft_id=info%3Apmid%2F30504543&rft.externalDocID=30504543 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0028-3886&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0028-3886&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0028-3886&client=summon |