A Mathematical Model of Tumor Volume Changes during Radiotherapy

Purpose. To develop a clinically viable mathematical model that quantitatively predicts tumor volume change during radiotherapy in order to provide treatment response assessment for prognosis, treatment plan optimization, and adaptation. Method and Materials. The correction factors containing hypoxi...

Full description

Saved in:
Bibliographic Details
Main Authors: Ping Wang, Yuanming Feng
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/181070
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849415477800992768
author Ping Wang
Yuanming Feng
author_facet Ping Wang
Yuanming Feng
author_sort Ping Wang
collection DOAJ
description Purpose. To develop a clinically viable mathematical model that quantitatively predicts tumor volume change during radiotherapy in order to provide treatment response assessment for prognosis, treatment plan optimization, and adaptation. Method and Materials. The correction factors containing hypoxia, DNA single strand breaks, potentially lethal damage, and other factors were used to develop an improved cell survival model based on the popular linear-quadratic model of cell survival in radiotherapy. The four-level cell population model proposed by Chvetsov et al. was further simplified by removing the initial hypoxic fraction and reoxygenation parameter, which are hard to obtain in routine clinics, such that an easy-to-use model can be developed for clinical applications. The new model was validated with data of nine lung and cervical cancer patients. Results. Out of the nine cases, the new model can predict tumor volume change in six cases with a correlation index R2 greater than 0.9 and the rest of three with R2 greater than 0.85. Conclusion. Based on a four-level cell population model, a more practical and simplified cell survival curve was proposed to model the tumor volume changes during radiotherapy. Validation study with patient data demonstrated feasibility and clinical usefulness of the new model in predicting tumor volume change in radiotherapy.
format Article
id doaj-art-68b6f5a857a84a40b4efc10066cd4fe0
institution Kabale University
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-68b6f5a857a84a40b4efc10066cd4fe02025-08-20T03:33:31ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/181070181070A Mathematical Model of Tumor Volume Changes during RadiotherapyPing Wang0Yuanming Feng1Department of Radiation Oncology, Tianjin Medical University Cancer Institute and Hospital, Tianjin 300060, ChinaDepartment of Radiation Oncology, Tianjin Medical University Cancer Institute and Hospital, Tianjin 300060, ChinaPurpose. To develop a clinically viable mathematical model that quantitatively predicts tumor volume change during radiotherapy in order to provide treatment response assessment for prognosis, treatment plan optimization, and adaptation. Method and Materials. The correction factors containing hypoxia, DNA single strand breaks, potentially lethal damage, and other factors were used to develop an improved cell survival model based on the popular linear-quadratic model of cell survival in radiotherapy. The four-level cell population model proposed by Chvetsov et al. was further simplified by removing the initial hypoxic fraction and reoxygenation parameter, which are hard to obtain in routine clinics, such that an easy-to-use model can be developed for clinical applications. The new model was validated with data of nine lung and cervical cancer patients. Results. Out of the nine cases, the new model can predict tumor volume change in six cases with a correlation index R2 greater than 0.9 and the rest of three with R2 greater than 0.85. Conclusion. Based on a four-level cell population model, a more practical and simplified cell survival curve was proposed to model the tumor volume changes during radiotherapy. Validation study with patient data demonstrated feasibility and clinical usefulness of the new model in predicting tumor volume change in radiotherapy.http://dx.doi.org/10.1155/2013/181070
spellingShingle Ping Wang
Yuanming Feng
A Mathematical Model of Tumor Volume Changes during Radiotherapy
The Scientific World Journal
title A Mathematical Model of Tumor Volume Changes during Radiotherapy
title_full A Mathematical Model of Tumor Volume Changes during Radiotherapy
title_fullStr A Mathematical Model of Tumor Volume Changes during Radiotherapy
title_full_unstemmed A Mathematical Model of Tumor Volume Changes during Radiotherapy
title_short A Mathematical Model of Tumor Volume Changes during Radiotherapy
title_sort mathematical model of tumor volume changes during radiotherapy
url http://dx.doi.org/10.1155/2013/181070
work_keys_str_mv AT pingwang amathematicalmodeloftumorvolumechangesduringradiotherapy
AT yuanmingfeng amathematicalmodeloftumorvolumechangesduringradiotherapy
AT pingwang mathematicalmodeloftumorvolumechangesduringradiotherapy
AT yuanmingfeng mathematicalmodeloftumorvolumechangesduringradiotherapy