Bory Prevez Henry, Soutelo Jimenez Argenis Adrian, Roca Oria Eduardo José, Heredia Kindelán José Alejandro, Morales González Maraelys, Villar Goris Narciso Antonio, Hernández Mesa Nibaldo, Sierra González Victoriano Gustavo, Infantes Frometa Yenia, Montijano Juan Ignacio, Cabrales Luis Enrique Bergues
Departamento de Control Automático, Facultad de Ingeniería Eléctrica, Universidad de Oriente, Santiago de Cuba, Cuba.
Departamento de Química, Facultad de Ciencias Naturales y Exactas, Universidad de Oriente, Santiago de Cuba, Cuba.
R Soc Open Sci. 2022 Nov 30;9(11):220552. doi: 10.1098/rsos.220552. eCollection 2022 Nov.
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.
了解未经治疗的肿瘤生长动力学及其内在行为既有趣又引人入胜。本研究的目的是提出一个近似的解析表达式，使我们能够模拟实体肿瘤在未经治疗情况下生长过程中癌周健康组织界面处表面电荷密度的变化。为此，使用了冈珀茨方程和泊松方程。模拟结果表明，未受干扰的实体肿瘤生长与肿瘤和周围健康组织之间表面电荷密度随时间的变化密切相关。此外，未受干扰的实体肿瘤生长受该表面电荷密度的时间变化支配。得出的结论是，结果证实了未经治疗的癌症中电学参数和生理学参数之间的对应关系，这可能在其生长、进展、转移以及抵御免疫系统攻击和抗癌治疗中发挥重要作用。此外，在重新设计化疗和免疫治疗中的分子时，考虑到它们的极性，了解癌周健康组织界面处表面电荷密度的变化可能具有重要意义。在设计全新的疗法时也是如此。
