Radiation Protraction Schedules for Low-grade Gliomas: a Comparison Between Different Mathematical Models

Overview

Journal J R Soc Interface

Specialties Biology
Biomedical Engineering
Biophysics

Date 2019 Dec 12

PMID 31822220

Citations 6

Authors

I Budia

A Alvarez-Arenas

T E Woolley

G F Calvo

J Belmonte-Beitia

Affiliations

Soon will be listed here.

Abstract

We optimize radiotherapy (RT) administration strategies for treating low-grade gliomas. Specifically, we consider different tumour growth laws, both with and without spatial effects. In each scenario, we find the optimal treatment in the sense of maximizing the overall survival time of a virtual low-grade glioma patient, whose tumour progresses according to the examined growth laws. We discover that an extreme protraction therapeutic strategy, which amounts to substantially extending the time interval between RT sessions, may lead to better tumour control. The clinical implications of our results are also presented.

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References

Williams N, Rotondo R, Bradley J, Pincus D, Fort J, Wynn T . Late Effects After Radiotherapy for Childhood Low-grade Glioma. Am J Clin Oncol. 2016; 41(3):307-312. DOI: 10.1097/COC.0000000000000267. View

Wise S, Lowengrub J, Frieboes H, Cristini V . Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method. J Theor Biol. 2008; 253(3):524-43. PMC: 3472664. DOI: 10.1016/j.jtbi.2008.03.027. View

Perez-Garcia V, Ayala-Hernandez L, Belmonte-Beitia J, Schucht P, Murek M, Raabe A . Computational design of improved standardized chemotherapy protocols for grade II oligodendrogliomas. PLoS Comput Biol. 2019; 15(7):e1006778. PMC: 6629055. DOI: 10.1371/journal.pcbi.1006778. View

Barazzuol L, Burnet N, Jena R, Jones B, Jefferies S, Kirkby N . A mathematical model of brain tumour response to radiotherapy and chemotherapy considering radiobiological aspects. J Theor Biol. 2009; 262(3):553-65. DOI: 10.1016/j.jtbi.2009.10.021. View

Ellis H, Greenslade M, Powell B, Spiteri I, Sottoriva A, Kurian K . Current Challenges in Glioblastoma: Intratumour Heterogeneity, Residual Disease, and Models to Predict Disease Recurrence. Front Oncol. 2015; 5:251. PMC: 4644939. DOI: 10.3389/fonc.2015.00251. View

Buckner J, Shaw E, Pugh S, Chakravarti A, Gilbert M, Barger G . Radiation plus Procarbazine, CCNU, and Vincristine in Low-Grade Glioma. N Engl J Med. 2016; 374(14):1344-55. PMC: 5170873. DOI: 10.1056/NEJMoa1500925. View

Perez-Garcia V, Perez-Romasanta L . Extreme protraction for low-grade gliomas: theoretical proof of concept of a novel therapeutical strategy. Math Med Biol. 2015; 33(3):253-71. DOI: 10.1093/imammb/dqv017. View

Reifenberger G, Wirsching H, Knobbe-Thomsen C, Weller M . Advances in the molecular genetics of gliomas - implications for classification and therapy. Nat Rev Clin Oncol. 2016; 14(7):434-452. DOI: 10.1038/nrclinonc.2016.204. View

Belmonte-Beitia J, Woolley T, Scott J, Maini P, Gaffney E . Modelling biological invasions: Individual to population scales at interfaces. J Theor Biol. 2013; 334:1-12. DOI: 10.1016/j.jtbi.2013.05.033. View

10.

Baumert B, Hegi M, van den Bent M, von Deimling A, Gorlia T, Hoang-Xuan K . Temozolomide chemotherapy versus radiotherapy in high-risk low-grade glioma (EORTC 22033-26033): a randomised, open-label, phase 3 intergroup study. Lancet Oncol. 2016; 17(11):1521-1532. PMC: 5124485. DOI: 10.1016/S1470-2045(16)30313-8. View

11.

Konukoglu E, Clatz O, Bondiau P, Delingette H, Ayache N . Extrapolating glioma invasion margin in brain magnetic resonance images: suggesting new irradiation margins. Med Image Anal. 2010; 14(2):111-25. DOI: 10.1016/j.media.2009.11.005. View

12.

Leder K, Pitter K, LaPlant Q, Hambardzumyan D, Ross B, Chan T . Mathematical modeling of PDGF-driven glioblastoma reveals optimized radiation dosing schedules. Cell. 2014; 156(3):603-616. PMC: 3923371. DOI: 10.1016/j.cell.2013.12.029. View

13.

Ribba B, Kaloshi G, Peyre M, Ricard D, Calvez V, Tod M . A tumor growth inhibition model for low-grade glioma treated with chemotherapy or radiotherapy. Clin Cancer Res. 2012; 18(18):5071-80. DOI: 10.1158/1078-0432.CCR-12-0084. View

14.

Jung E, de Los Reyes V A, Pumares K, Kim Y . Strategies in regulating glioblastoma signaling pathways and anti-invasion therapy. PLoS One. 2019; 14(4):e0215547. PMC: 6476530. DOI: 10.1371/journal.pone.0215547. View

15.

Benzekry S, Lamont C, Beheshti A, Tracz A, Ebos J, Hlatky L . Classical mathematical models for description and prediction of experimental tumor growth. PLoS Comput Biol. 2014; 10(8):e1003800. PMC: 4148196. DOI: 10.1371/journal.pcbi.1003800. View

16.

Woolley T, Belmonte-Beitia J, Calvo G, Hopewell J, Gaffney E, Jones B . Changes in the retreatment radiation tolerance of the spinal cord with time after the initial treatment. Int J Radiat Biol. 2018; 94(6):515-531. DOI: 10.1080/09553002.2018.1430911. View

17.

Perez-Garcia V, Calvo G, Belmonte-Beitia J, Diego D, Perez-Romasanta L . Bright solitary waves in malignant gliomas. Phys Rev E Stat Nonlin Soft Matter Phys. 2011; 84(2 Pt 1):021921. DOI: 10.1103/PhysRevE.84.021921. View

18.

Murphy E, Leyrer C, Parsons M, Suh J, Chao S, Yu J . Risk Factors for Malignant Transformation of Low-Grade Glioma. Int J Radiat Oncol Biol Phys. 2018; 100(4):965-971. DOI: 10.1016/j.ijrobp.2017.12.258. View

19.

Jbabdi S, Mandonnet E, Duffau H, Capelle L, Swanson K, Pelegrini-Issac M . Simulation of anisotropic growth of low-grade gliomas using diffusion tensor imaging. Magn Reson Med. 2005; 54(3):616-24. DOI: 10.1002/mrm.20625. View

20.

Powathil G, Kohandel M, Sivaloganathan S, Oza A, Milosevic M . Mathematical modeling of brain tumors: effects of radiotherapy and chemotherapy. Phys Med Biol. 2007; 52(11):3291-306. DOI: 10.1088/0031-9155/52/11/023. View