On dynamic tumor eradication conditions under combined chemical/anti-angiogenic therapies
DOI: 10.1016/J.PHYSLETA.2017.12.025
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摘要: Abstract In this paper ultimate dynamics of the five-dimensional cancer tumor growth model at angiogenesis phase is studied. This elaborated by Pinho et al. in 2014 describes interactions between normal/cancer/endothelial cells under chemotherapy/anti-angiogenic agents process. The author derives upper bounds for normal/tumor/endothelial concentrations and lower chemical/anti-angiogenic concentrations. Global asymptotic clearance conditions are obtained two versions: use only chemotherapy combined application anti-angiogenic therapy. These established as attraction to maximum invariant set free plane, furthermore, case examined when consists equilibrium points.
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