牙齿组织自体荧光光场仿真分析

利用有限元数值方法对扩散方程进行求解,将激发光场作为荧光传输扩散方程的光源,获得了二维牙齿模型内部自体荧光光场的分布。讨论了牙釉质和牙本质不同散射系数时牙齿上表面的荧光能量分布。发现牙齿上表面荧光能量随牙釉质散射系数的增大而降低,随牙本质散射系数的增大而增大。并对牙釉质和牙本质的散射系数的改变量对荧光能量的影响进行了定量分析,结果表明βe=2.62,βd=0.0502,牙釉质散射系数的改变对荧光能量的影响远远大于牙本质。利用Monte Carlo随机统计方法对牙齿组织自体荧光进行仿真,发现与有限元结果吻合较好,验证了有限元求解组织体荧光光场分布的正确性。

Simulation analysis of teeth auto-fluorescence field distribution

The auto-fluorescence field distribution inside 2D teeth model is obtained by solution of diffusion equation based on finite element method.The exciting light field is considered to be the light source of following fluorescence transportation equation.The fluorescence intensity distribution on upper surface of teeth model under condition of different scattering coefficients combination of dental enamel and dentine is discussed in detail.It reveals that increment of scattering coefficient of dental enamel will reduce fluorescence intensity of upper surface.In the case of dentine,the result goes in the opposite direction.The changing rate of fluorescence intensity to scattering coefficient β is defined and calculated.The results βe=2.62,βd=0.0502 show that variation of scattering coefficient of enamel has more effect on fluorescence intensity than dentine.Finally,Monte Carlo method of fluorescence is introduced and applied to simulate the same dental model.The comparison result shows that they agree well with each other,which verifies the feasibility of fluorescence distribution solution in tissue by FEA method.