Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications

Pérez-García, Víctor M; Bogdanska, Magdalena; Martínez-González, Alicia; Belmonte-Beitia, Juan; Schucht, Philippe; Pérez-Romasanta, Luis A (2015). Delay effects in the response of low-grade gliomas to radiotherapy: a mathematical model and its therapeutical implications. Mathematical Medicine and Biology, 32(3), pp. 307-329. Oxford University Press 10.1093/imammb/dqu009

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Low-grade gliomas (LGGs) are a group of primary brain tumours usually encountered in young patient populations. These tumours represent a difficult challenge because many patients survive a decade or more and may be at a higher risk for treatment-related complications. Specifically, radiation therapy is known to have a relevant effect on survival but in many cases it can be deferred to avoid side effects while maintaining its beneficial effect. However, a subset of LGGs manifests more aggressive clinical behaviour and requires earlier intervention. Moreover, the effectiveness of radiotherapy depends on the tumour characteristics. Recently Pallud et al. (2012. Neuro-Oncology, 14: , 1-10) studied patients with LGGs treated with radiation therapy as a first-line therapy and obtained the counterintuitive result that tumours with a fast response to the therapy had a worse prognosis than those responding late. In this paper, we construct a mathematical model describing the basic facts of glioma progression and response to radiotherapy. The model provides also an explanation to the observations of Pallud et al. Using the model, we propose radiation fractionation schemes that might be therapeutically useful by helping to evaluate tumour malignancy while at the same time reducing the toxicity associated to the treatment.

Item Type:

Journal Article (Original Article)


04 Faculty of Medicine > Department of Head Organs and Neurology (DKNS) > Clinic of Neurosurgery

UniBE Contributor:

Schucht, Philippe


600 Technology > 610 Medicine & health




Oxford University Press




Nicole Söll

Date Deposited:

13 Mar 2015 16:40

Last Modified:

26 Oct 2019 21:55

Publisher DOI:


PubMed ID:


Uncontrolled Keywords:

low-grade gliomas mathematical model of tumour response radiotherapy




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