Conference publications

Influence of cell motility on the stability of the tumour shape in the pre-angiogenic stage of growth

Kolobov A.V., Polezhaev A.A.


"Математика. Компьютер. Образование". Cб. трудов X международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2003. Vol. 2. Pp. 320-329.

Influence of individual cellular motility on the tumour shape is investigated by means of a mathematical model. It is shown that the tumour shape is stable for any perturbation in the case of high cell motility while low cell motility results in breaking of stability of the tumour boundary that may lead to tumour growth in the predominant direction of nutrient source.

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