Abstract

In this paper a forward solver software for the time domain and the CW domain based on the Born approximation for simulating the effect of small localized fluorophores embedded in a non-fluorescent biological tissue is proposed. The fluorescence emission is treated with a mathematical model that describes the migration of photons from the source to the fluorophore and of emitted fluorescent photons from the fluorophore to the detector for all those geometries for which Green’s functions are available. Subroutines written in FORTRAN that can be used for calculating the fluorescent signal for the infinite medium and for the slab are provided with a linked file. With these subroutines, quantities such as reflectance, transmittance, and fluence rate can be calculated.

Highlights

  • Fluorescence spectroscopy and imaging using near infrared light are methods of analysis that have become emerging and promising techniques when applied in medicine [1,2,3,4,5,6,7]

  • We proposed a perturbative forward solver software for the time domain and the continuous wave (CW) domain based on the Born approximation in order to simulate the effect of small localized fluorophores embedded inside a non-fluorescent biological tissue

  • The method has been implemented for the infinite medium and for the slab for which two subroutines (Homogeneous Fluence Fluorescence Infinite and Homogeneous Fluence Fluorescence Slab) written in FORTRAN language are provided with the linked file (Media 1)

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Summary

Introduction

Fluorescence spectroscopy and imaging using near infrared light are methods of analysis that have become emerging and promising techniques when applied in medicine [1,2,3,4,5,6,7]. For the inverse problem O’Leary et al [18] used a first-order perturbation model for the diffuse photon density waves emitted from a localized fluorophore inside an infinite medium. We propose a perturbative time domain and the CW domain forward solver software based on the Born approximation in order to simulate the effect of localized fluorophores embedded in a non fluorescent biological tissue. The software presented in this paper is a tool for photon migration studies that can be utilised when a fluorescent inclusion is present in tissue This is the case of optical molecular imaging that uses near-infrared fluorescent probes [14, 17].

Theory
Perturbative model based on the DE
Hybrid approach for the slab
Software and examples of use
Summary and discussion

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