Effects of tumour heterogeneous properties on modelling the transport of radiative particles

Author:

Juma Victor Ogesa1ORCID,Sainz‐DeMena Diego1ORCID,Sánchez María Teresa23ORCID,García‐Aznar José Manuel1ORCID

Affiliation:

1. Mechanical Engineering Department, Multiscale in Mechanical and Biological Engineering Aragon Institute of Engineering Research (I3A), University of Zaragoza Zaragoza Spain

2. Centro Universitario de la Defensa de Zaragoza Zaragoza Spain

3. Instituto Universitario de Investigación en Matemáticas y Aplicaciones (IUMA) Universidad de Zaragoza Zaragoza Spain

Abstract

AbstractDose calculation plays a critical role in radiotherapy (RT) treatment planning, and there is a growing need to develop accurate dose deposition models that incorporate heterogeneous tumour properties. Deterministic models have demonstrated their capability in this regard, making them the focus of recent treatment planning studies as they serve as a basis for simplified models in RT treatment planning. In this study, we present a simplified deterministic model for photon transport based on the Boltzmann transport equation (BTE) as a proof‐of‐concept to illustrate the impact of heterogeneous tumour properties on RT treatment planning. We employ the finite element method (FEM) to simulate the photon flux and dose deposition in real cases of diffuse intrinsic pontine glioma (DIPG) and neuroblastoma (NB) tumours. Importantly, in light of the availability of pipelines capable of extracting tumour properties from magnetic resonance imaging (MRI) data, we highlight the significance of such data. Specifically, we utilise cellularity data extracted from DIPG and NB MRI images to demonstrate the importance of heterogeneity in dose calculation. Our model simplifies the process of simulating a RT treatment system and can serve as a useful starting point for further research. To simulate a full RT treatment system, one would need a comprehensive model that couples the transport of electrons and photons.

Funder

Ministerio de Ciencia e Innovación

Ministerio de Educación y Ciencias

Publisher

Wiley

Subject

Applied Mathematics,Computational Theory and Mathematics,Molecular Biology,Modeling and Simulation,Biomedical Engineering,Software

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