Simulating chemotherapeutic schemes in the individualized treatment context: The paradigm of glioblastoma multiforme treated by temozolomide in vivo

Stamatakos, Georgios S.; Antipas, V.P.; Uzunoglu, N.K.

doi:10.1016/j.compbiomed.2005.06.002

Cited by 18 publications

(12 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Also, it may help in developing specific optimal fractionation schemes for selected patient subgroups. However, despite its enormous potential, mathematical modelling has had a very limited use with strong focus on some aspects of radiation therapy (RT) for high-grade gliomas [49,50,51,52,53,54]. Up to now, no ideas coming from mathematical modelling have been found useful for clinical application in any of these contexts.…”

Section: Radiotherapy Of Low Grade Gliomasmentioning

confidence: 99%

Effective particle methods for Fisher–Kolmogorov equations: Theory and applications to brain tumor dynamics

Belmonte-Beitia

Calvo

Pérez-Garcı́a

2014

Communications in Nonlinear Science and Numerical Simulation

View full text Add to dashboard Cite

Extended systems governed by partial differential equations can, under suitable conditions, be approximated by means of sets of ordinary differential equations for global quantities capturing the essential features of the systems dynamics. Here we obtain a small number of effective equations describing the dynamics of single-front and localized solutions of Fisher-Kolmogorov type equations. These solutions are parametrized by means of a minimal set of time-dependent quantities for which ordinary differential equations ruling their dynamics are found. A comparison of the finite dimensional equations and the dynamics of the full partial differential equation is made showing a very good quantitative agreement with the dynamics of the partial differential equation. We also discuss some implications of our findings for the understanding of the growth progression of certain types of primary brain tumors and discuss possible extensions of our results to related equations arising in different modelling scenarios.

show abstract

Section: Radiotherapy Of Low Grade Gliomasmentioning

confidence: 99%

Effective particle methods for Fisher–Kolmogorov equations: Theory and applications to brain tumor dynamics

Belmonte-Beitia

Calvo

Pérez-Garcı́a

2014

Communications in Nonlinear Science and Numerical Simulation

View full text Add to dashboard Cite

show abstract

“…A simulation model of tumor response to other treatment modalities, such as chemotherapy has already been presented by our group (Stamatakos et al 2005). The chemotherapy model presented in this article provides a theoretical support for the observed superiority of the standard administration schedule of the Temozolomide agent commonly used to treat glioblastoma multiforme.…”

Section: Resultsmentioning

confidence: 99%

Applying a 4D Multiscale In Vivo Tumor Growth Model to the Exploration of Radiotherapy Scheduling: The Effects of Weekend Treatment Gaps and P53 Gene Status on the Response of Fast Growing Solid Tumors

Dionysiou

Stamatakos

2006

Cancer Inform

Self Cite

View full text Add to dashboard Cite

The present paper aims at demonstrating clinically oriented applications of the multiscale four dimensional in vivo tumor growth simulation model previously developed by our research group. To this end the effect of weekend radiotherapy treatment gaps and p53 gene status on two virtual glioblastoma tumors differing only in p53 gene status is investigated in silico. Tumor response predictions concerning two rather extreme dose fractionation schedules (daily dose of 4.5 Gy administered in 3 equal fractions) namely HART (Hyperfractionated Accelerated Radiotherapy weekend less) 54 Gy and CHART (Continuous HART) 54 Gy are presented and compared. The model predictions suggest that, for the same p53 status, HART 54 Gy and CHART 54 Gy have almost the same long term effects on locoregional tumor control. However, no data have been located in the literature concerning a comparison of HART and CHART radiotherapy schedules for glioblastoma. As non small cell lung carcinoma (NSCLC) may also be a fast growing and radiosensitive tumor, a comparison of the model predictions with the outcome of clinical studies concerning the response of NSCLC to HART 54 Gy and CHART 54 Gy is made. The model predictions are in accordance with corresponding clinical observations, thus strengthening the potential of the model.

show abstract

“…Simulating Chemotherapeutic Schemes for Individualization A novel patient individualized, spatiotemporal Monte Carlo simulation model of tumor response to chemotherapeutic schemes in vivo has been described (Stamatakos et al 2006 ). Treatment of GBM by temozolomide is considered as a paradigm.…”

Section: Molecular Determinants Of Response To Egfr Inhibitorsmentioning

confidence: 99%

Personalized Therapy of Cancer

Jain

2015

Textbook of Personalized Medicine

View full text Add to dashboard Cite

Simulating chemotherapeutic schemes in the individualized treatment context: The paradigm of glioblastoma multiforme treated by temozolomide in vivo

Cited by 18 publications

References 33 publications

Effective particle methods for Fisher–Kolmogorov equations: Theory and applications to brain tumor dynamics

Effective particle methods for Fisher–Kolmogorov equations: Theory and applications to brain tumor dynamics

Applying a 4D Multiscale In Vivo Tumor Growth Model to the Exploration of Radiotherapy Scheduling: The Effects of Weekend Treatment Gaps and P53 Gene Status on the Response of Fast Growing Solid Tumors

Personalized Therapy of Cancer

Contact Info

Product

Resources

About