[Bifurcation analysis of a mathematical model of the interaction of cytotoxic lymphocytes with tumor cells. The effect of immunologic amplification of tumor growth and its interconnection with other "anomolous" phenomena of oncoimmunology].
Mathematical model of the immune response of the cytotoxic lymphocytes to the nonexponentially growing immunogenic tumour has been studied. Local and global biffurcations for realistic values of the parameters were determined. The connection of the oncoimmunological "anomalous" phenomena (immunostimulation of tumour growth, "sneaking through" of tumour, formation of the tumour "dormant" state) has been shown. The probability of manifestation of these effects in vivo was estimated.
Kuznetsov
V A
VA
Makalkin
I A
IA
D008954:Models, Biological; D009369:Neoplasms / Q000276:immunology* / Q000473:pathology; D013602:T-Lymphocytes, Cytotoxic / Q000276:immunology*
Bifurkatsionnyĭ analiz matematicheskoĭ model vzaimodeĭstviia tsitotoksicheskikh limfotsitov s opukholevymi kletkami. Effekt immunologicheskogo usileniia rosta opukholi i ego vzaimosviaz' s drugimi"anomal'nymi" fenomenami onkoimmunologii.