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用数值方法计算横纹肌的激光衍射强度

Calculation of the laser diffraction intensity of striated muscle by numerical methods.

作者信息

Leung A F

出版信息

Comput Programs Biomed. 1982 Dec;15(3):169-74. doi: 10.1016/0010-468x(82)90002-2.

Abstract

The diffraction of a laser beam by striated muscle was treated as Fraunhofer diffraction of a homogeneous system. Assuming that the striated muscle was a three-dimensional array of cylindrical sarcomeres, a set of diffraction equations in cylindrical reciprocal coordinates for calculating the diffraction intensity as a function of the polar and azimuthal angles was derived. After the positions and dimensions of the sarcomeres were specified, numerical calculations according to the diffraction equations yielded the intensity pattern on both the meridional and equatorial planes. As a sample calculation for the diffraction intensity, the sarcomere positions and dimensions derived from light microscopy and light diffractometry on living muscle fibers were used. The calculated diffraction intensity pattern of a skeletal muscle fiber correlated well with experimental measurements.

摘要

横纹肌对激光束的衍射被视为均匀系统的夫琅禾费衍射。假设横纹肌是由圆柱形肌节组成的三维阵列,推导了一组柱面倒易坐标下的衍射方程,用于计算作为极角和方位角函数的衍射强度。在确定了肌节的位置和尺寸后,根据衍射方程进行数值计算,得到了子午面和赤道面上的强度分布。作为衍射强度的一个示例计算,使用了从活肌纤维的光学显微镜和光衍射测量中得出的肌节位置和尺寸。计算得到的骨骼肌纤维衍射强度分布与实验测量结果吻合良好。

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