We propose a model of tumor dynamics based on the Gompertz deterministic law influenced by jumps that occur at equidistant time instants. This model consents to study the effect of a therapeutic program that provides intermittent suppression of cancer cells. In this context a jump represents an application of the therapy that shifts the cancer mass to a fixed level and it produces a deleterious effect on the organism by increasing the growth rate of the cancer cells. The objective of the present study is to provide an efficient criterion to choose the instants in which to apply the therapy by maximizing the time in which the cancer mass is under a fixed control threshold.
A Cancer Dynamics Model for an Intermittent Treatment Involving Reduction of Tumor Size and Rise of Growth Rate
GIORNO, Virginia;SPINA, SERENA
2015-01-01
Abstract
We propose a model of tumor dynamics based on the Gompertz deterministic law influenced by jumps that occur at equidistant time instants. This model consents to study the effect of a therapeutic program that provides intermittent suppression of cancer cells. In this context a jump represents an application of the therapy that shifts the cancer mass to a fixed level and it produces a deleterious effect on the organism by increasing the growth rate of the cancer cells. The objective of the present study is to provide an efficient criterion to choose the instants in which to apply the therapy by maximizing the time in which the cancer mass is under a fixed control threshold.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
