Modelling energy deposition in nanoscintillators to predict the efficiency of the X-ray-induced photodynamic effect

Bulin, Anne-Laure; Vasil’ev, A. N.; Belsky, A.; Amans, David; Ledoux, Gilles; Dujardin, Christophe

doi:10.1039/c4nr07444k

Cited by 71 publications

(64 citation statements)

References 38 publications

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“…and, provided the integral converges, we obtain for Equation (18) the following vanishing at infinite time solution:…”

Section: Operational Solution Of the Hyperbolic Heat Conduction Equationmentioning

confidence: 99%

“…Let us first of all considerε(x) = ε = const andD(x) = α∂ 2 x + κ, keeping the linear term κ in the r.h.s. of Equation (18). Then we end with the telegraph equation, also known as a hyperbolic heat conduction equation (HHE):…”

Section: Operational Solution Of the Hyperbolic Heat Conduction Equationmentioning

confidence: 99%

“…A good description of the major numerical methods is given, for example, in [1][2][3][4][5][6]. Here they allow numerical modelling of complicated physical processes [7][8][9][10][11][12][13][14][15][16][17][18][19], including multidimensional heat transfer in rectangles and cylinders [20][21][22][23]. However, proper understanding of the solutions and of the obtained results can be best done when they are obtained in analytical form.…”

Section: Introductionmentioning

confidence: 99%

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Operational Approach and Solutions of Hyperbolic Heat Conduction Equations

Zhukovsky

2016

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Abstract:We studied physical problems related to heat transport and the corresponding differential equations, which describe a wider range of physical processes. The operational method was employed to construct particular solutions for them. Inverse differential operators and operational exponent as well as operational definitions and operational rules for generalized orthogonal polynomials were used together with integral transforms and special functions. Examples of an electric charge in a constant electric field passing under a potential barrier and of heat diffusion were compared and explored in two dimensions. Non-Fourier heat propagation models were studied and compared with each other and with Fourier heat transfer. Exact analytical solutions for the hyperbolic heat equation and for its extensions were explored. The exact analytical solution for the Guyer-Krumhansl type heat equation was derived. Using the latter, the heat surge propagation and relaxation was studied for the Guyer-Krumhansl heat transport model, for the Cattaneo and for the Fourier models. The comparison between them was drawn. Space-time propagation of a power-exponential function and of a periodic signal, obeying the Fourier law, the hyperbolic heat equation and its extended Guyer-Krumhansl form were studied by the operational technique. The role of various terms in the equations was explored and their influence on the solutions demonstrated. The accordance of the solutions with maximum principle is discussed. The application of our theoretical study for heat propagation in thin films is considered. The examples of the relaxation of the initial laser flash, the wide heat spot, and the harmonic function are considered and solved analytically.

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“…and, provided the integral converges, we obtain for Equation (18) the following vanishing at infinite time solution:…”

Section: Operational Solution Of the Hyperbolic Heat Conduction Equationmentioning

confidence: 99%

Section: Operational Solution Of the Hyperbolic Heat Conduction Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Operational Approach and Solutions of Hyperbolic Heat Conduction Equations

Zhukovsky

2016

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“…Based on their model, Morgan et al came to the conclusion that only X-rays with energy below 300 keV, such as those used for brachytherapy, could induce sufficient cytotoxicity. Recently, these calculations were further refined using Monte Carlo simulations and a more accurate estimation of the energy deposited in nanoscintillator was provided by Bulin et al 110. Each of these simulation tools could efficiently be used to design the next nanoscintillators to use as local light source in combination with a PS to induce PDT in deep tissue.…”

Section: Forward Looking Methodologies For Deep Tissue Pdtmentioning

confidence: 99%

Beyond the Barriers of Light Penetration: Strategies, Perspectives and Possibilities for Photodynamic Therapy

Mallidi¹,

Anbil

Bulin³

et al. 2016

Theranostics

Self Cite

315

216

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Photodynamic therapy (PDT) is a photochemistry based treatment modality that involves the generation of cytotoxic species through the interactions of a photosensitizer molecule with light irradiation of an appropriate wavelength. PDT is an approved therapeutic modality for several cancers globally and in several cases has proved to be effective where traditional treatments have failed. The key parameters that determine PDT efficacy are 1. the photosensitizer (nature of the molecules, selectivity, and macroscopic and microscopic localization etc.), 2. light application (wavelength, fluence, fluence rate, irradiation regimes etc.) and 3. the microenvironment (vascularity, hypoxic regions, stromal tissue density, molecular heterogeneity etc.). Over the years, several groups aimed to monitor and manipulate the components of these critical parameters to improve the effectiveness of PDT treatments. However, PDT is still misconstrued to be a surface treatment primarily due to the limited depths of light penetration. In this review, we present the recent advances, strategies and perspectives in PDT approaches, particularly in cancer treatment, that focus on increasing the 'damage zone' beyond the reach of light in the body. This is enabled by a spectrum of approaches that range from innovative photosensitizer excitation strategies, increased specificity of phototoxicity, and biomodulatory approaches that amplify the biotherapeutic effects induced by photodynamic action. Along with the increasing depth of understanding of the underlying physical, chemical and physiological mechanisms, it is anticipated that with the convergence of these strategies, the clinical utility of PDT will be expanded to a powerful modality in the armamentarium for the management of cancer.

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“…Although scintillating nanoparticles have been studied in PDT [13, 15, 18], to the best of the authors’ knowledge, the non-invasive PDT concept of using scintillating nanoparticles in brain cancer cells has not been described.…”

Section: Introductionmentioning

confidence: 99%

Non-invasive Photodynamic Therapy in Brain Cancer by Use of Tb3+-Doped LaF3 Nanoparticles in Combination with Photosensitizer Through X-ray Irradiation: A Proof-of-Concept Study

Chen

Jenh

et al. 2017

Nanoscale Res Lett

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The use of photodynamic therapy (PDT) in the treatment of brain cancer has produced exciting results in clinical trials over the past decade. PDT is based on the concept that a photosensitizer exposed to a specific light wavelength produces the predominant cytotoxic agent, to destroy tumor cells. However, delivering an efficient light source to the brain tumor site is still a challenge. The light source should be delivered by placing external optical fibers into the brain at the time of surgical debulking of the tumor. Consequently, there exists the need for a minimally invasive treatment for brain cancer PDT. In this study, we investigated an attractive non-invasive option on glioma cell line by using Tb3+-doped LaF3 scintillating nanoparticles (LaF3:Tb) in combination with photosensitizer, meso-tetra(4-carboxyphenyl)porphyrin (MTCP), followed by activation with soft X-ray (80 kVp). Scintillating LaF3:Tb nanoparticles, with sizes of approximately 25 nm, were fabricated. The particles have a good dispersibility in aqueous solution and possess high biocompatibility. However, significant cytotoxicity was observed in the glioma cells while the LaF3:Tb nanoparticles with MTCP were exposed under X-ray irradiation. The study has demonstrated a proof of concept as a non-invasive way to treat brain cancer in the future.

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Modelling energy deposition in nanoscintillators to predict the efficiency of the X-ray-induced photodynamic effect

Cited by 71 publications

References 38 publications

Operational Approach and Solutions of Hyperbolic Heat Conduction Equations

Operational Approach and Solutions of Hyperbolic Heat Conduction Equations

Beyond the Barriers of Light Penetration: Strategies, Perspectives and Possibilities for Photodynamic Therapy

Non-invasive Photodynamic Therapy in Brain Cancer by Use of Tb3+-Doped LaF3 Nanoparticles in Combination with Photosensitizer Through X-ray Irradiation: A Proof-of-Concept Study

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