Modified Gompertz Equation for Electrotherapy Murine Tumor Growth Kinetics: Predictions and New Hypotheses

Cabrales, Luis Enrique Bergues; Nava, J. J. G.; Aguilera, A. R.; Joa, J. A. G.; Ciria, H. M. C.; González, M. M.; Salas, M. F.; Jarque, M. V.; González, T. R.; Mateus, M. A. O.; Brooks, S. C. A.; Palencia, F. S.; Ortiz, L. Z.; Quevedo, M. C. C.; Seringe, S. E.; Cuitié, V. C.; Cabrales, I. B.; González, G. S.

doi:10.1007/978-3-319-13117-7_237

Cited by 4 publications

(24 citation statements)

References 31 publications

(99 reference statements)

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“…Theoretical and experimental results of this study agree and confirm the existence of a threshold of i / i 0 , for which F3II tumor reaches its CR, independently of γ values, as previously reported for Ehrlich and Sa‐37 fibrosarcoma tumors [Ciria et al, ; Cabrales et al, ]. Nevertheless, PR, SD, and DP are obtained for i / i 0 values smaller than this threshold of i / i 0 , depending on the γ value (PR for smaller values of γ , and SD and DP are evidenced for higher values of parameter γ ).…”

Section: Discussionsupporting

confidence: 90%

“…High values of γ mean that DC‐induced net antitumor effect in the tumor happens fast, that is, it has a short‐term effect (inverse of γ ). In this case, the tumor is reorganized and there is re‐growth [Cabrales et al, ].…”

Section: Discussionmentioning

confidence: 99%

“…Disease progression (DP) and non‐change or stable disease (SD) are other tumor responses after the application of any therapy [Xin et al, ; Eisenhauer et al, ]. These aspects may be evaluated by means of an analysis of tumor growth kinetics (TGK) under DC action [Miklavčič et al, ; Ciria et al, ; Cabrales et al, , ].…”

Section: Introductionmentioning

confidence: 99%

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Dose‐response study for the highly aggressive and metastatic primary F3II mammary carcinoma under direct current

González

Morales

Cabrales

et al. 2018

Bioelectromagnetics

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Electrochemical treatment has been suggested as an effective alternative to local cancer therapy. Nevertheless, its effectiveness decreases when highly aggressive primary tumors are treated. The aim of this research was to understand the growth kinetics of the highly aggressive and metastatic primary F3II tumor growing in male and female BALB/c/Cenp mice under electrochemical treatment. Different amounts of electric charge (6, 9, and 18 C) were used. Two electrodes were inserted into the base, perpendicular to the tumor's long axis, keeping about 1 cm distance between them. Results have shown that the F3II tumor is highly sensitive to direct current. The overall effectiveness (complete response + partial response) of this physical agent was ≥75.0% and observed in 59.3% (16/27) of treated F3II tumors. Complete remission of treated tumors was observed in 22.2% (6/27). An unexpected result was the death of 11 direct current-treated animals (eight females and three males). It is concluded that direct current may be addressed to significantly affect highly aggressive and metastatic primary tumor growth kinetics, including the tumor complete response. Bioelectromagnetics. 39:460-475, 2018. © 2018 Wiley Periodicals, Inc.

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Section: Discussionsupporting

confidence: 90%

Section: Discussionmentioning

confidence: 99%

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Dose‐response study for the highly aggressive and metastatic primary F3II mammary carcinoma under direct current

González

Morales

Cabrales

et al. 2018

Bioelectromagnetics

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“…Some preclinical studies support the concept of early treatment for cancer because of the exponential tumor growth kinetics presenting as a clinical symptom . Computational modeling of pancreatic cancer therapy showed that early initiation of systemic therapy resulted in a better survival than a delayed therapy .…”

Section: Discussionmentioning

confidence: 99%

Association of time interval between cancer diagnosis and initiation of palliative chemotherapy with overall survival in patients with unresectable pancreatic cancer

et al. 2019

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Introduction Palliative chemotherapy is the standard treatment for patients with unresectable pancreatic cancer. Whether the early initiation of palliative chemotherapy is associated with a favorable survival outcome for these patients is not known. This study aimed to analyze the association of the time interval between cancer diagnosis and initiation of palliative chemotherapy with survival outcome in patients with pancreatic cancer. Method A total of 838 patients with unresectable pancreatic cancer who underwent palliative chemotherapy from 2010 to 2016 at 4 institutions in Taiwan were retrospectively enrolled. All patients were categorized according to time interval between cancer diagnosis and initiation of palliative chemotherapy for comparison of the survival outcome. Result The median time interval was 14 days (range, 0 to 163 days) in our patient cohort. Accordingly, 22%, 29%, and 49% of the patients underwent palliative chemotherapy within 1, 1 to 2, and >2 weeks after cancer diagnosis, respectively. The survival outcome had no statistical difference among these 3 patient groups. Subgroup analyses revealed that patients with the time interval ≤2 weeks exhibited poorer survival outcome than those with the time interval >2 weeks if they initially presented with jaundice (6.1 months vs 8.4 months, P = 0.029). In contrast, patients with the time interval ≤2 weeks revealed a better survival outcome than those with the time interval >2 weeks if they initially presented with pain (8.0 vs 6.3 months, P = 0.014). Conclusion In our study, time interval between cancer diagnosis and the initiation of palliative chemotherapy >2 weeks was not associated with a poorer survival outcome for patients with unresectable pancreatic cancer. Our result might help clinicians to clarify that early initiation of palliative chemotherapy might provide survival benefit for patients who present with tumor pain, but not for those who present with jaundice.

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“…A significant effort is required to comprehend this problem because the exact shapes of different electrode arrays are usually not given, in spite of the existence of mathematical approaches [11][12][13][14][15][16] and imaging techniques [18,[23][24][25][26][27][28][29][30]. Consequently, there exists a less exhaustive discussion of the comparison between these types of electrode arrays, in spite of the intent of some researchers of evaluating specific electrode configurations [1][2][3][4]6,[17][18][19]31]. Precisely, the aim of this paper is to extend the results of Dev et al [11], Čorović et al [13] and Aguilera et al [14,15] to electrode arrays with different shapes of conic sections (ellipse, parabola and hyperbola).…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Solutions of the Potential and Electric Field Generated by Different Electrode Arrays in a Tumor Tissue under Electrotherapy

et al. 2015

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Background: Electrotherapy is a relatively well established and efficient method of tumor treatment. In this paper we focus on analytical and numerical calculations of the potential and electric field distributions inside a tumor tissue in a twodimensional model (2D-model) generated by means of electrode arrays with shapes of different conic sections (ellipse, parabola and hyperbola). Methods: Analytical calculations of the potential and electric field distributions based on 2D-models for different electrode arrays are performed by solving the Laplace equation, meanwhile the numerical solution is solved by means of finite element method in two dimensions. Results: Both analytical and numerical solutions reveal significant differences between the electric field distributions generated by electrode arrays with shapes of circle and different conic sections (elliptic, parabolic and hyperbolic). Electrode arrays with circular, elliptical and hyperbolic shapes have the advantage of concentrating the electric field lines in the tumor. Conclusion:The mathematical approach presented in this study provides a useful tool for the design of electrode arrays with different shapes of conic sections by means of the use of the unifying principle. At the same time, we verify the good correspondence between the analytical and numerical solutions for the potential and electric field distributions generated by the electrode array with different conic sections.

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Modified Gompertz Equation for Electrotherapy Murine Tumor Growth Kinetics: Predictions and New Hypotheses

Cited by 4 publications

References 31 publications

Dose‐response study for the highly aggressive and metastatic primary F3II mammary carcinoma under direct current

Dose‐response study for the highly aggressive and metastatic primary F3II mammary carcinoma under direct current

Association of time interval between cancer diagnosis and initiation of palliative chemotherapy with overall survival in patients with unresectable pancreatic cancer

Analytical and Numerical Solutions of the Potential and Electric Field Generated by Different Electrode Arrays in a Tumor Tissue under Electrotherapy

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