Spatio temporal dynamics of direct current in treated anisotropic tumors

Castañeda, Antonio Rafael Selva; Pozo, Josue Mariño del; Ramirez-Torres, Erick Eduardo; Oria, Eduardo José Roca; Vaillant, Sorangel Bolaños; Montijano, J. I.; Cabrales, Luis Enrique Bergues

doi:10.1016/j.matcom.2022.07.004

Cited by 3 publications

(6 citation statements)

References 65 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The simulations shown in [43] suggest that the spherical tumour has greatly defined its layers compared to ellipsoidal tumours, which may validate why the spherical tumour is a good model to study chemo-resistance and radio-resistance [41,42]. The tumour heterogeneity may be simulated approximately from a biophysical point of view following the same ideas of this study.…”

Section: Discussionsupporting

confidence: 57%

“…By contrast, the solid tumour is self-destructed, in contrast with the clinics [1–4]. Furthermore, the existence of − σ i ( i + 1) ( i = 1, … , M T ) may explain that the spherical tumour has well-defined multicentric layers from an electrical point of view, in agreement with well-defined multicentric layers from a biological point of view [43]. This confirms the close relationship between electrical and physiological parameters in biological tissues [10,11,14,15,36].…”

Section: Discussionmentioning

confidence: 99%

“…When the tumour grows it becomes more heterogeneous, as it demonstrates simulations for its spherical and non-spherical geometries [43]. The tumour heterogeneity has one of the main roles in cancer promotion and on the tumour microenvironment, as well as on cancer resistance and recurrence [8,14,39,43,56,57]. Therefore, it is considered a cancer hallmark.…”

Section: Discussionmentioning

confidence: 99%

“…metabolism abnormalities) lead to physical changes (e.g. changes in V mem and electrical properties) [43] or vice versa [40]? We believe that dynamical bioelectrical changes are primary mechanisms involved in cancer that lead to chemical changes, to biological modifications, and to clinical alterations (secondary mechanisms).…”

Section: Insights About Cancer Therapymentioning

confidence: 99%

“…A meta-analysis may be carried out to give answers to these questions and others related to them. The cancer bioelectric handling has been suggested as a useful tool to understand bioelectrical fields that change dynamically during cancer growth and possible anti-cancer therapeutic targets, aspects that remain unclear as yet [8,43]. (5) What relationship exists between σ 12 and the tumour contour fractal dimension reported in [1,4,5]?…”

Section: Insights About Cancer Therapymentioning

confidence: 99%

See 4 more Smart Citations

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

et al. 2022

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionsupporting

confidence: 57%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Insights About Cancer Therapymentioning

confidence: 99%

Section: Insights About Cancer Therapymentioning

confidence: 99%

See 3 more Smart Citations

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

et al. 2022

Self Cite

View full text Add to dashboard Cite

show abstract

Parameter estimation in the Montijano-Bergues-Bory-Gompertz stochastic model for unperturbed tumor growth

Bonilla-Capilla,

Bergues Cabrales

2024

Preprint

View full text Add to dashboard Cite

Different sources of noises endogenous and exogenous to the cancer are involved in its stochastic growth. The aim of this study is to propose the stochastic version of Montijano-Bergues-Bory-Gompertz equation for the unperturbed tumor growth kinetics. The maximum likelihood estimators for the intrinsic tumor growth rate and the growth decelerating factor, and their respective discrete time approximations were analytically calculated. Different simulations of the deterministic and stochastic of this equation were made for different values of their respective parameters. Limit conditions for the average diffusion coefficient and the growth decelerating factor were established. The tumor volume at the infinite was calculated for several values of parameters of the stochastic Montijano-Bergues-Bory-Gompertz equation. Furthermore, descriptive statistic for the maximum likelihood estimators of the intrinsic tumor growth rate was computed for several parameters of this equation. The results evidenced that solid tumors there are for values of the average diffusion coefficient and the growth decelerating factor less than their respective limit values. The transition between avascular and vascular phases of the unperturbed tumor growth kinetics was revealed in the plot of the discrete time approximation for the maximum likelihood estimator of the growth decelerating factor versus the discrete time approximation for the maximum likelihood estimator of the intrinsic tumor growth rate. These results were connected with different findings in the literature. In conclusion, the stochastic Montijano-Bergues-Bory-Gompertz equation may be applied in the experiment to describe the unperturbed tumor growth kinetics, as previously demonstrated for its deterministic version, in order to estimate the parameters of this equation and their connection with processes involved in the growth, progression and metastasis of unperturbed solid tumors.

show abstract

Simulation of tumor density evolution upon chemotherapy alone or combined with a treatment to reduce lactate levels

Raad,

Allery,

Cherfils

et al. 2024

MATH

View full text Add to dashboard Cite

<abstract><p>In this study, we introduced a mathematical model mimicking as much as possible the evolutions and interactions between glioma and lactate in the brain, in order to test different therapies and administration protocols. We simulated both glioma cell density evolution and lactate concentration, and considered two therapies: chemotherapy and a treatment targeting lactate production. Three different protocols for administrating the therapies were tested. We compared the efficiency of the combined therapies, depending on the administration protocols and the dosage of the drugs, in order to evaluate the importance of controlling lactate production. Results show that the use of an agent to reduce lactate concentration permits one to significantly reduce the dose of the chemotherapeutic drug.</p></abstract>

show abstract

Spatio temporal dynamics of direct current in treated anisotropic tumors

Cited by 3 publications

References 65 publications

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

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

Parameter estimation in the Montijano-Bergues-Bory-Gompertz stochastic model for unperturbed tumor growth

Simulation of tumor density evolution upon chemotherapy alone or combined with a treatment to reduce lactate levels

Contact Info

Product

Resources

About