癫痫患者99mTc-ECD弥散的数学模型

2019 International Conference on Engineering, Science, and Industrial Applications (ICESI) Pub Date : 2019-08-01 DOI:10.1109/ICESI.2019.8863025

Panittavee Yarnvitayalert, T. Saleewong, Kitiwat Khamwan, S. Bongsebandhu-Phubhakdi

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引用次数: 0

摘要

本研究建立扩散方程来描述癫痫患者脑SPECT图像中$^{99\math {m}}\text{Tc-ECD}$随时间的扩散行为。用中心差分近似法逼近稳态下的数值解。然后通过相对误差与可能致痫的感兴趣点周围的真实数据进行比较。结果表明，$^{99\ mathm {m}}\text{Tc-ECD}$脑区扩散速率常数$D_{1}= 1。计算的速率常数为$^{99\ mathm {m}}\text{Tc-ECD}$脑室区扩散$D_{2}=1$ unit2/min，相对误差在26.81%左右。数值解表明$^{99\ mathm {m}}\text{Tc-ECD}$在脑SPECT图像中的扩散是均匀扩散。

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A Mathematical Model of 99mTc-ECD Diffusion in Brain for Epileptic Patients

This research develops diffusion equation to describe behavior of the $^{99\mathrm{m}}\text{Tc-ECD}$ diffusion in epileptic patient's brain SPECT image over time. The equation was approximated the numerical solution at steady state by central difference approximation. Then they were compared with the real data around interested point that may be epileptogenic by relative error. In the result, the rate constant of $^{99\mathrm{m}}\text{Tc-ECD}$ diffusion in brain area $D_{1}= 1. 10657$ unit²/min and the rate constant of $^{99\mathrm{m}}\text{Tc-ECD}$ diffusion in ventricle area $D_{2}=1$ unit²/min that has relative error around 26.81%. The numerical solution show the $^{99\mathrm{m}}\text{Tc-ECD}$ diffusion in brain SPECT image is homogeneous diffusion.

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2019 International Conference on Engineering, Science, and Industrial Applications (ICESI)

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