Royal Society Open Science (Nov 2022)

Simulations of surface charge density changes during the untreated solid tumour growth

  • Henry Bory Prevez,
  • Argenis Adrian Soutelo Jimenez,
  • Eduardo José Roca Oria,
  • José Alejandro Heredia Kindelán,
  • Maraelys Morales González,
  • Narciso Antonio Villar Goris,
  • Nibaldo Hernández Mesa,
  • Victoriano Gustavo Sierra González,
  • Yenia Infantes Frometa,
  • Juan Ignacio Montijano,
  • Luis Enrique Bergues Cabrales

DOI
https://doi.org/10.1098/rsos.220552
Journal volume & issue
Vol. 9, no. 11

Abstract

Read online

Understanding untreated tumour growth kinetics and its intrinsic behaviour is interesting and intriguing. The aim of this study is to propose an approximate analytical expression that allows us to simulate changes in surface charge density at the cancer-surrounding healthy tissue interface during the untreated solid tumour growth. For this, the Gompertz and Poisson equations are used. Simulations reveal that the unperturbed solid tumour growth is closely related to changes in the surface charge density over time between the tumour and the surrounding healthy tissue. Furthermore, the unperturbed solid tumour growth is governed by temporal changes in this surface charge density. It is concluded that results corroborate the correspondence between the electrical and physiological parameters in the untreated cancer, which may have an essential role in its growth, progression, metastasis and protection against immune system attack and anti-cancer therapies. In addition, the knowledge of surface charge density changes at the cancer-surrounding healthy tissue interface may be relevant when redesigning the molecules in chemotherapy and immunotherapy taking into account their polarities. This can also be true in the design of completely novel therapies.

Keywords