The Bistability Theorem in a Model of Metastatic Cancer

dc.contributor.author	Larsen, Jens C.
dc.date.accessioned	2016-07-21T12:53:26Z
dc.date.available	2016-07-21T12:53:26Z
dc.date.issued	2016-06
dc.description.abstract	The 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.identifier.uri	http://dx.doi.org/10.4236/am.2016.710105
dc.identifier.uri	http://hdl.handle.net/123456789/877
dc.language.iso	en	en_US
dc.publisher	Scientific Research Publishing	en_US
dc.relation.ispartofseries	Applied Mathematics, 2016, 7, 1183-1206;
dc.subject	Bistability	en_US
dc.subject	Cancer	en_US
dc.subject	Mass Action Kinetic System	en_US
dc.subject	Discrete Dynamical System	en_US
dc.title	The Bistability Theorem in a Model of Metastatic Cancer	en_US
dc.type	Article	en_US

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