Simulations of tumor radius and surface charge density changes during the untreated solid tumor growth

Understanding the untreated tumor growth kinetics and its intrinsic findings is interesting and intriguing. The aim of this study is to simulate changes of tumor radius and surface charge density changes during the untreated solid tumor growth. For this, the Gompertz and Poisson equations are used. Simulations reveal that the unperturbed solid tumor growth is closely related to changes in the surface charge density over time between the tumor and the surrounding healthy tissue. Furthermore, the unperturbed solid tumor growth is governed by temporal changes in this surface charge density. It is concluded that graphic strategies corroborate the correspondence between electrical and physiological parameters in cancer, which may have an essential role in its growth, progression, metastasis and protection against immune system attack and anti-cancer therapies. In addition, knowledge of surface charge density at tumor boundary may be relevant to understand the unperturbed tumor growth kinetics to propose taking into account the polarity of the substances in conventional therapies (e.g., chemotherapy and immunotherapy) or to design completely new ones. * argenis@uo.edu.cu † Corresponding author: berguesc@yahoo.com Surface charge density changes in tumor growth