Mandelis Andreas, Kwan Chi-Hang, Matvienko Anna
Department of Mechanical and Industrial Engineering, Center for Advanced Diffusion-Wave Technologies, University of Toronto, Toronto, Ontario, Canada M5S 3G8.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 1):021920. doi: 10.1103/PhysRevE.80.021920. Epub 2009 Aug 19.
The technique of modulated luminescence of bones was developed experimentally and theoretically and was subsequently used to interpret measurements performed on the cortical layer of human skull bones. The photophysical theory is based on the optical excitation and decay rate equations of the fluorescent endogenous chromophore and on the molecular interaction parameter with the photon field density in the matrix of the bone. An effective mean relaxation lifetime, tau(M), of skull cortical bone was derived theoretically and was found to depend on the endogenous chromophore decay lifetime, tau(2), in the upper energy state, on the generated luminescence field density through its dependence on the incident photon field density and on the thickness of the bone. A linear dependence of tau(M) on laser beam intensity, I0, was found and sensitivity of the value of tau(M) to bone thickness, L, was observed for L < or = 6.2 mm. Both experimental dependencies of tau(M) on I0 and L were in excellent agreement with the theoretical model. The unusually long relaxation luminescence lifetime was accounted for theoretically by means of an excited-state manifold invoking intersystem crossing to a forbidden state followed by decay to the ground state of the chromophore. Best fits to the data were able to yield measurements of the following chromophore and photon field parameters: tau(2)=19.7 ms , optical scattering coefficient mu(s)(659 nm)=44,340 m(-1), optical absorption coefficient mu(a)(659 nm)=13 m(-1), and coupling coefficient B(21)= 1.6 x 10(4) m(3) J(-1) s(-1), the decay coupling coefficient of the endogenous chromophore participating in the optical interaction in the form of stimulated luminescence emission mediated by the luminescence photon field between the long-lived excited state E2 and the lower (ground) state E1. The method of modulated luminescence can be used to measure photophysical properties of the chromophore in cortical skull bones, being a sensitive marker of bone diseases, namely, osteoporosis and cancer.
骨调制发光技术在实验和理论上得到了发展,随后被用于解释对人类颅骨皮质层进行的测量。光物理理论基于荧光内源性发色团的光激发和衰减速率方程以及与骨基质中光子场密度的分子相互作用参数。从理论上推导了颅骨皮质骨的有效平均弛豫寿命tau(M),发现它取决于处于较高能态的内源性发色团衰减寿命tau(2)、通过对入射光子场密度的依赖而产生的发光场密度以及骨的厚度。发现tau(M)与激光束强度I0呈线性关系,并且在L≤6.2mm时观察到tau(M)值对骨厚度L的敏感性。tau(M)对I0和L的实验依赖性均与理论模型高度吻合。理论上通过激发态流形解释了异常长的弛豫发光寿命,该激发态流形涉及到系间窜越到禁戒态,随后衰减到发色团的基态。对数据的最佳拟合能够得出以下发色团和光子场参数的测量值:tau(2)=19.7ms,光学散射系数mu(s)(659nm)=44340m(-1),光学吸收系数mu(a)(659nm)=13m(-1),以及耦合系数B(21)=1.6×10(4)m(3)J(-1)s(-1),即内源性发色团以长寿命激发态E2和较低(基)态E1之间由发光光子场介导的受激发光发射形式参与光学相互作用的衰减耦合系数。调制发光方法可用于测量颅骨皮质骨中发色团的光物理性质,发色团是骨疾病(即骨质疏松症和癌症)的敏感标志物。