Abstract

Monte Carlo (MC) simulation is recognized as the “gold standard” for biophotonic simulation, capturing all relevant physics and material properties at the perceived cost of high computing demands. Tetrahedral-mesh-based MC simulations particularly are attractive due to the ability to refine the mesh at will to conform to complicated geometries or user-defined resolution requirements. Since no approximations of material or light-source properties are required, MC methods are applicable to the broadest set of biophotonic simulation problems. MC methods also have other implementation features including inherent parallelism, and permit a continuously-variable quality-runtime tradeoff. We demonstrate here a complete MC-based prospective fluence dose evaluation system for interstitial PDT to generate dose-volume histograms on a tetrahedral mesh geometry description. To our knowledge, this is the first such system for general interstitial photodynamic therapy employing MC methods and is therefore applicable to a very broad cross-section of anatomy and material properties. We demonstrate that evaluation of dose-volume histograms is an effective variance-reduction scheme in its own right which greatly reduces the number of packets required and hence runtime required to achieve acceptable result confidence. We conclude that MC methods are feasible for general PDT treatment evaluation and planning, and considerably less costly than widely believed.

Highlights

  • Photodynamic Therapy (PDT) is an emerging treatment modality for cancerous lesions in a variety of indications

  • We demonstrate below a software implementation “FullMonte” which meets all these criteria using a tetrahedral mesh description of the planning volume, and a Monte Carlo simulation to solve for the light distribution

  • We show that the use of dose-volume histograms for assessing a proposed treatment geometry acts as a variance reduction scheme which greatly reduces the computational cost of Monte Carlo simulations

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Summary

Introduction

Photodynamic Therapy (PDT) is an emerging treatment modality for cancerous lesions in a variety of indications. We focus on the first loop: simulation and evaluation, in which the simulator calculates the light fluence within the planning volume resulting from the specified treatment geometry (patient anatomy, optical properties, source(s) with positions and emission patterns). Based on those simulations of the fluence field, the second component generates measures of the resulting plan’s quality using the prescribed target characteristics. Solution techniques can be classified into three groups: analytic and finite-element numerical solutions using the diffusion approximation (the simplest and least accurate method); other numerical methods to solve the RTE directly; and Monte Carlo methods

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