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

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 th...

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Main Authors: 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
Format: Article
Language:English
Published: The Royal Society 2022-11-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/10.1098/rsos.220552
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author 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
author_facet 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
author_sort Henry Bory Prevez
collection DOAJ
description 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.
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spelling doaj.art-27f989f8fe6148e983363c0cf49bd20e2023-04-17T10:54:42ZengThe Royal SocietyRoyal Society Open Science2054-57032022-11-0191110.1098/rsos.220552Simulations of surface charge density changes during the untreated solid tumour growthHenry Bory Prevez0Argenis Adrian Soutelo Jimenez1Eduardo José Roca Oria2José Alejandro Heredia Kindelán3Maraelys Morales González4Narciso Antonio Villar Goris5Nibaldo Hernández Mesa6Victoriano Gustavo Sierra González7Yenia Infantes Frometa8Juan Ignacio Montijano9Luis Enrique Bergues Cabrales10Departamento de Control Automático, Facultad de Ingeniería Eléctrica, Universidad de Oriente, Santiago de Cuba, CubaDepartamento de Química, Facultad de Ciencias Naturales y Exactas, Universidad de Oriente, Santiago de Cuba, CubaDepartamento de Física, Facultad de Ciencias Naturales y Exactas, Universidad de Oriente, Santiago de Cuba, CubaDepartamento de Física, Facultad de Ciencias Naturales y Exactas, Universidad de Oriente, Santiago de Cuba, CubaDepartamento de Farmacia, Facultad de Ciencias Naturales y Exactas, Universidad de Oriente, Santiago de Cuba, CubaDepartamento de Ciencia e Innovación, Centro Nacional de Electromagnetismo Aplicado, Universidad de Oriente, Santiago de Cuba, CubaCentro de Neurociencias de Cuba (CNEURO), La Habana, CubaGrupo de las Industrias Biotecnológica y Farmacéuticas (BioCubaFarma), La Habana, CubaFacultad de Ciencias Sociales, Universidad de Oriente, Santiago de Cuba, CubaDepartamento de Matemática Aplicada, Instituto Universitario de Matemática y Aplicaciones, Universidad de Zaragoza, Zaragoza, EspañaDepartamento de Ciencia e Innovación, Centro Nacional de Electromagnetismo Aplicado, Universidad de Oriente, Santiago de Cuba, CubaUnderstanding 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.https://royalsocietypublishing.org/doi/10.1098/rsos.220552surface charge densityGompertz equationelectrical conductivityelectrical permittivityunperturbed solid tumour growth kinetic
spellingShingle 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
Simulations of surface charge density changes during the untreated solid tumour growth
Royal Society Open Science
surface charge density
Gompertz equation
electrical conductivity
electrical permittivity
unperturbed solid tumour growth kinetic
title Simulations of surface charge density changes during the untreated solid tumour growth
title_full Simulations of surface charge density changes during the untreated solid tumour growth
title_fullStr Simulations of surface charge density changes during the untreated solid tumour growth
title_full_unstemmed Simulations of surface charge density changes during the untreated solid tumour growth
title_short Simulations of surface charge density changes during the untreated solid tumour growth
title_sort simulations of surface charge density changes during the untreated solid tumour growth
topic surface charge density
Gompertz equation
electrical conductivity
electrical permittivity
unperturbed solid tumour growth kinetic
url https://royalsocietypublishing.org/doi/10.1098/rsos.220552
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