Numerical solution for a problem arising in angiogenic signalling

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dc.contributor.authorKolade, Owolabi
dc.contributor.authorKailash, Patidar
dc.contributor.authorShikongo, Albert
dc.date.accessioned2020-06-04T15:31:11Z
dc.date.available2020-06-04T15:31:11Z
dc.date.issued2019
dc.description.abstractSince the process of angiogenesis is controlled by chemical signals, which stimulate both repair of damaged blood vessels and formation of new blood vessels, then other chemical signals known as angiogenesis inhibitors interfere with blood vessels formation. This implies that the stimulating and inhibiting e ects of these chemical signals are balanced as blood vessels form only when and where they are needed. Based on this information, an optimal control problem is formulated and the arising model is a system of coupled non-linear equations with adjoint and transversality conditions. Since many of the numerical methods often fail to capture these type of models, therefore, in this paper, we carry out steady state analysis of these models before implementing the numerical computations. In this paper we analyze and present the numerical estimates as a way of providing more insight into the postvascular dormant state where stimulator and inhibitor come into balance in an optimal manner.en_US
dc.identifier.citationKolade, M. 2019. Numerical solution for a problem arising in angiogenic signalling. AIMS Mathematics, 4(1): 43-63. doi: 10.3934/Math.2019.1.43.en_US
dc.identifier.urihttp://dx.doi.org/10.3934/Math.2019.1.43
dc.identifier.urihttp://hdl.handle.net/10566/5222
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.subjectAngiogenicsen_US
dc.subjectNumerical methodsen_US
dc.subjectTumouren_US
dc.subjectMathematical modellingen_US
dc.titleNumerical solution for a problem arising in angiogenic signallingen_US
dc.typeArticleen_US

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