A two-stage mutation stochastic model of carcinogenesis driven by a two level random environment

dc.contributor.authorYadavalli, Venkata S. Sarma
dc.contributor.authorUdayabaskaran, S.
dc.contributor.authorPravina, C.T.
dc.contributor.authorSreelakshmi, S.
dc.contributor.emailsarma.yadavalli@up.ac.za
dc.date.accessioned2020-11-25T08:52:49Z
dc.date.available2020-11-25T08:52:49Z
dc.date.issued2020
dc.description.abstractIn this paper, we present a two-stage stochastic model of carcinogenesis in a two level random environment. The random environment switches between two levels, say, 1 and 2 alternately. When the environment is in level 1, a normal cell either divides into two normal cells or dies; and an intermediate cell divides into two intermediate cells or dies. When the environment is in level 2, a normal cell either divides into two intermediate cells or divides into one normal cell and one intermediate cell or divides into two normal cells or dies; and an intermediate cell either divides into two malignant cells or divides into one intermediate cell and one malignant cell or divides into two intermediate cells or dies. It is assumed that, once a malignant cell is produced, it generates a malignant tumor with probability 1. We obtain the mean numbers of normal, intermediate and malignant cells.en_ZA
dc.description.departmentIndustrial and Systems Engineeringen_ZA
dc.description.librarianpm2020en_ZA
dc.description.urihttp://www.ijmems.inen_ZA
dc.identifier.citationYadavalli, V.S.S., Udayabaskaran, S., Pravina, C.T.D. et al. 2020, 'A two-stage mutation stochastic model of carcinogenesis driven by a two level random environment', International Journal of Mathematical, Engineering and Management Sciences, vol. 5, no. 6, pp. 1392-1408.en_ZA
dc.identifier.issn2455-7749 (online)
dc.identifier.other10.33889/IJMEMS.2020.5.6.103
dc.identifier.urihttp://hdl.handle.net/2263/77172
dc.language.isoenen_ZA
dc.publisherIJMEMS, Indiaen_ZA
dc.rights© International Journal of Mathematical, Engineering and Management Sciences. Uses under the Creative Commons Attribution 4.0 International (CC BY 4.0) license at https://creativecommons.org/licenses/by/4.0/.en_ZA
dc.subjectAge-dependent two-stage stochastic modelen_ZA
dc.subjectNormal cellen_ZA
dc.subjectIntermediate cellen_ZA
dc.subjectMalignant cellen_ZA
dc.subjectRandom environmenten_ZA
dc.titleA two-stage mutation stochastic model of carcinogenesis driven by a two level random environmenten_ZA
dc.typeArticleen_ZA

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