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A simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth

dc.creatorMario Moisés Alvarez
dc.date2012
dc.date.accessioned2018-10-18T22:08:16Z
dc.date.available2018-10-18T22:08:16Z
dc.identifier.issn19326203
dc.identifier.doi10.1371/journal.pone.0026233
dc.identifier.urihttp://hdl.handle.net/11285/630539
dc.descriptionBackground: The Cancer Stem Cell (CSC) hypothesis has gained credibility within the cancer research community. According to this hypothesis, a small subpopulation of cells within cancerous tissues exhibits stem-cell-like characteristics and is responsible for the maintenance and proliferation of cancer. Methodologies/Principal Findings: We present a simple compartmental pseudo-chemical mathematical model for tumor growth, based on the CSC hypothesis, and derived using a "chemical reaction" approach. We defined three cell subpopulations: CSCs, transit progenitor cells, and differentiated cells. Each event related to cell division, differentiation, or death is then modeled as a chemical reaction. The resulting set of ordinary differential equations was numerically integrated to describe the time evolution of each cell subpopulation and the overall tumor growth. The parameter space was explored to identify combinations of parameter values that produce biologically feasible and consistent scenarios. Conclusions/Significance: Certain kinetic relationships apparently must be satisfied to sustain solid tumor growth and to maintain an approximate constant fraction of CSCs in the tumor lower than 0.01 (as experimentally observed): (a) the rate of symmetrical and asymmetrical CSC renewal must be in the same order of magnitude; (b) the intrinsic rate of renewal and differentiation of progenitor cells must be half an order of magnitude higher than the corresponding intrinsic rates for cancer stem cells; (c) the rates of apoptosis of the CSC, transit amplifying progenitor (P) cells, and terminally differentiated (D) cells must be progressively higher by approximately one order of magnitude. Simulation results were consistent with reports that have suggested that encouraging CSC differentiation could be an effective therapeutic strategy for fighting cancer in addition to selective killing or inhibition of symmetric division of CSCs. © 2012 Molina-Peña, Álvarez.
dc.languageeng
dc.relationhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84857171440&doi=10.1371%2fjournal.pone.0026233&partnerID=40&md5=b4b438f4e8d831c23c091655c8fc2e71
dc.relationInvestigadores
dc.relationEstudiantes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.sourcePLoS ONE
dc.subjectantineoplastic activity
dc.subjectarticle
dc.subjectcancer chemotherapy
dc.subjectcancer growth
dc.subjectcancer resistance
dc.subjectcancer stem cell
dc.subjectcell cycle arrest
dc.subjectcell death
dc.subjectcell differentiation
dc.subjectcell killing
dc.subjectcell kinetics
dc.subjectcell proliferation
dc.subjectcell renewal
dc.subjectcell subpopulation
dc.subjectchemical reaction
dc.subjectcontrolled study
dc.subjectdrug targeting
dc.subjectfeasibility study
dc.subjectmathematical model
dc.subjectmolecular dynamics
dc.subjectmolecular evolution
dc.subjectsolid tumor
dc.subjectvalidation process
dc.subjectbiological model
dc.subjectdata base
dc.subjectdisease course
dc.subjecthuman
dc.subjectkinetics
dc.subjectneoplasm
dc.subjectpathology
dc.subjectstatistical model
dc.subjectCell Death
dc.subjectCell Proliferation
dc.subjectDatabases as Topic
dc.subjectDisease Progression
dc.subjectHumans
dc.subjectKinetics
dc.subjectLinear Models
dc.subjectModels, Biological
dc.subjectNeoplasms
dc.subjectNeoplastic Stem Cells
dc.subject.classification7 INGENIERÍA Y TECNOLOGÍA
dc.titleA simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth
dc.typeArtículo
dc.identifier.volume7
dc.identifier.issue2
refterms.dateFOA2018-10-18T22:08:16Z


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