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dc.contributor.authorLarsen, Jens C.
dc.date.accessioned2016-07-21T12:53:26Z
dc.date.available2016-07-21T12:53:26Z
dc.date.issued2016-06
dc.identifier.urihttp://dx.doi.org/10.4236/am.2016.710105
dc.identifier.urihttp://hdl.handle.net/123456789/877
dc.description.abstractThe main theorem of the present paper is the bistability theorem for a four dimensional cancer model, in the variables representing primary cancer C, metastatic cancer , growth factor GF and growth inhibitor GI, respectively. It says that for some values of the para- meters this system is bistable, in the sense that there are exactly two positive singular points of this vector field. And one is stable and the other unstable. We also find an expression for for the discrete model T of the introduction, with variables , where C is cancer, are growth factors and growth inhibitors respectively. We find an affine vector field Y whose time one map is T2 and then compute , where is an integral curve of Y through . We also find a formula for the first escape time for the vector field associated to T, see section four.en_US
dc.language.isoenen_US
dc.publisherScientific Research Publishingen_US
dc.relation.ispartofseriesApplied Mathematics, 2016, 7, 1183-1206;
dc.subjectBistabilityen_US
dc.subjectCanceren_US
dc.subjectMass Action Kinetic Systemen_US
dc.subjectDiscrete Dynamical Systemen_US
dc.titleThe Bistability Theorem in a Model of Metastatic Canceren_US
dc.typeArticleen_US


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