scholarly journals Correspondence between formulations of Avrami and Gompertz equations for untreated tumor growth kinetics

2020 ◽  
Vol 66 (5 Sept-Oct) ◽  
pp. 632
Author(s):  
N. A. Villar Goris ◽  
A. R. Selva Castañeda ◽  
E. E. Ramirez-Torres ◽  
J. Bory Reyes ◽  
L. Randez ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Growth Kinetics ◽  
Point Of View ◽  
Avrami Equation ◽  
Mathematical Point ◽  
Gompertz Equation ◽  
Tumor Growth Kinetics ◽  
Modified Equations ◽  
Untreated Tumor ◽  
Kinetics Of

The classical and modified equations of Kolmogorov-Johnson-Mehl-Avrami are compared with the equations of conventional Gompertz andMontijano-Bergues-Bory-Gompertz, in the frame of growth kinetics of tumors. For this, different analytical and numerical criteria are usedto demonstrate the similarity between them, in particular the distance of Hausdorff. The results show that these equations are similar fromthe mathematical point of view and the parameters of the Gompertz equation are explicitly related to those of the Avrami equation. It isconcluded that Modified Kolmogorov-Johnson-Mehl-Avrami and Montijano-Bergues-Bory-Gompertz equations can be used to describe thegrowth kinetics of unperturbed tumors.

scholarly journals Modified Gompertz equation for electrotherapy murine tumor growth kinetics: predictions and new hypotheses

BMC Cancer ◽  
2010 ◽  
Vol 10 (1) ◽  
Author(s):  
Luis E Bergues Cabrales ◽  
Juan J Godina Nava ◽  
Andrés Ramírez Aguilera ◽  
Javier A González Joa ◽  
Héctor M Camué Ciria ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Growth Kinetics ◽  
Murine Tumor ◽  
Gompertz Equation ◽  
Tumor Growth Kinetics

scholarly journals Predictive Pharmacokinetic-Pharmacodynamic Modeling of Tumor Growth Kinetics in Xenograft Models after Administration of Anticancer Agents

2004 ◽  
Vol 64 (3) ◽  
pp. 1094-1101 ◽  
Author(s):  
Monica Simeoni ◽  
Paolo Magni ◽  
Cristiano Cammia ◽  
Giuseppe De Nicolao ◽  
Valter Croci ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Growth Kinetics ◽  
Anticancer Agents ◽  
Pharmacodynamic Modeling ◽  
Tumor Growth Kinetics ◽  
Xenograft Models

Performance of tumor growth kinetics as an imaging biomarker for response assessment in colorectal liver metastases: correlation with FDG PET

2015 ◽  
Vol 40 (8) ◽  
pp. 3043-3051 ◽  
Author(s):  
Adeel R. Seyal ◽  
Keyur Parekh ◽  
Atilla Arslanoglu ◽  
Fernanda D. Gonzalez-Guindalini ◽  
Sandra M. Tochetto ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Liver Metastases ◽  
Growth Kinetics ◽  
Fdg Pet ◽  
Colorectal Liver Metastases ◽  
Response Assessment ◽  
Imaging Biomarker ◽  
Tumor Growth Kinetics

scholarly journals Biological Factors, Tumor Growth Kinetics, and Survival After Metastasectomy for Pulmonary Melanoma

2009 ◽  
Vol 16 (10) ◽  
pp. 2834-2839 ◽  
Author(s):  
Jonathan H. Lee ◽  
Seza A. Gulec ◽  
Ainura Kyshtoobayeva ◽  
Myung-Shin Sim ◽  
Donald L. Morton
Keyword(s):  
Tumor Growth ◽  
Growth Kinetics ◽  
Biological Factors ◽  
Tumor Growth Kinetics

scholarly journals Hyperprogression and impact of tumor growth kinetics after PD1/PDL1 inhibition in head and neck squamous cell carcinoma

Oncotarget ◽  
2020 ◽  
Vol 11 (18) ◽  
pp. 1618-1628
Author(s):  
Andy Karabajakian ◽  
Thibaut Garrivier ◽  
Carole Crozes ◽  
Nicolas Gadot ◽  
Jean-Yves Blay ◽  
...  
Keyword(s):  
Squamous Cell Carcinoma ◽  
Tumor Growth ◽  
Cell Carcinoma ◽  
Head And Neck ◽  
Squamous Cell ◽  
Growth Kinetics ◽  
Neck Squamous Cell Carcinoma ◽  
Tumor Growth Kinetics

Tumor Growth Kinetics Versus RECIST to Assess Response to Locoregional Therapy in Breast Cancer Liver Metastases

2014 ◽  
Vol 21 (8) ◽  
pp. 950-957 ◽  
Author(s):  
Adeel R. Seyal ◽  
Keyur Parekh ◽  
Yuri S. Velichko ◽  
Riad Salem ◽  
Vahid Yaghmai
Keyword(s):  
Breast Cancer ◽  
Tumor Growth ◽  
Liver Metastases ◽  
Growth Kinetics ◽  
Locoregional Therapy ◽  
Tumor Growth Kinetics ◽  
Breast Cancer Liver Metastases
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