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2011 - Europe Direct Iasi

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EUROINVENT <strong>2011</strong><br />

4.50.<br />

A new method for calculation acceleration in medical<br />

Title<br />

applications of diffuse optical tomography<br />

Authors Tomasz GRZYWACZ, Jan SIKORA<br />

Electrotechnical Institute, Department of Electric<br />

Institution<br />

Traction, Warsaw, Poland<br />

Patent no. Pending<br />

DOT is an imaging modality with the aim to recover the spatial<br />

distribution of the optical parameters, such as absorption and<br />

scattering coefficients, and to present them as 3-D images to the<br />

clinician. The optical parameters are related to physiologically<br />

relevant properties of blood and tissue oxygenation levels.<br />

The use of near-infrared light for imaging is quite difficult since<br />

it is strongly scattered by tissue, unlike the radiation in CT,<br />

which generally travels in straight lines through the body.<br />

Diffuse light propagation complicates image reconstruction.<br />

Light travelling between two points on the surface spreads out<br />

over a significant volume inside the tissue and therefore carries<br />

very little spatial information. To maximise the information<br />

contained in the measurements, one uses multiple detectors to<br />

sample the light emerging over a large surface area from the<br />

body for each source.<br />

DOT problem is highly nonlinear, and analytical solutions exist<br />

only for a limited number of simple geometries. Previous<br />

Description numerical solutions of the forward problem in DOT were based<br />

on a finite element method (FEM) as well as various hybrid<br />

approaches combining FEM with stochastic methods. Our<br />

proposal is to combine BEM with domain decomposition<br />

methods in order to solve this problem. This two methods are<br />

complementary. The system of equations derived from BEM<br />

describes distribution of the state function over a particular area.<br />

BEM provides not only potential of the state function but also its<br />

normal derivative in each node of the area. This property makes<br />

BEM really convenient to cooperate with domain decomposition<br />

methods. They are based on transfering boundary conditions<br />

(Dirichlet, Neumann or mixed) between successive regions of<br />

the decomposed area. Authors applied algorithms from two main<br />

groups of domain decomposition methods: overlapping and nonoverlapping<br />

ones. A diffusion approximation of the light<br />

propagation model based on Helmholtz equation was solved in<br />

spherical geometry. The results show significant reduction in<br />

computation time while solving forward problem in DOT but<br />

only for huge problems.<br />

Class 4<br />

85

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