Show simple item record

dc.contributor.authorKroos, J.M.
dc.contributor.authorStinner, C.
dc.contributor.authorSurulescu, S.
dc.contributor.authorSurulescu, N.
dc.dateinfo:eu-repo/date/embargoEnd/2020-05-23en_US
dc.date.accessioned2019-05-23T15:34:57Z
dc.date.available2019-05-23T15:34:57Z
dc.date.issued2019
dc.identifier.issn1531-3492
dc.identifier.urihttp://hdl.handle.net/20.500.11824/978
dc.description.abstractWe deduce cell population models describing the evolution of a tumor (possibly interacting with its environment of healthy cells) with the aid of differential equations. Thereby, different subpopulations of cancer cells allow accounting for the tumor heterogeneity. In our settings these include cancer stem cells known to be less sensitive to treatment and differentiated cancer cells having a higher sensitivity towards chemo- and radiotherapy. Our approach relies on stochastic differential equations in order to account for randomness in the system, arising e.g., due to the therapy-induced decreasing number of clonogens, which renders a pure deterministic model arguable. The equations are deduced relying on transition probabilities characterizing innovations of the two cancer cell subpopulations, and similarly extended to also account for the evolution of normal tissue. Several therapy approaches are introduced and compared by way of tumor control probability (TCP) and uncomplicated tumor control probability (UTCP). A PDE approach allows to assess the evolution of tumor and normal tissue with respect to time and to cell population densities which can vary continuously in a given set of states. Analytical approximations of solutions to the obtained PDE system are provided as well.en_US
dc.description.sponsorshipRTI2018- 093416-B-I00en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectGliomaen_US
dc.subjectcell stemnessen_US
dc.subjectSDEs and PDE modelingen_US
dc.subjectanalytical approximationsen_US
dc.subjecttherapy approachesen_US
dc.titleSDE-driven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemnessen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleDiscrete and Continuous Dynamical Systems - Series Ben_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España