Murase Kenya
Department of Medical Physics and Engineering, Division of Medical Technology and Science, Course of Health Science, Graduate School of Medicine, Osaka University.
Igaku Butsuri. 2016;35(4):297-306. doi: 10.11323/jjmp.35.4_297.
In this issue, simultaneous differential equations were introduced. These differential equations are often used in the field of medical physics. The methods for solving them were also introduced, which include Laplace transform and matrix methods. Some examples were also introduced, in which Laplace transform and matrix methods were applied to solving simultaneous differential equations derived from a three-compartment kinetic model for analyzing the glucose metabolism in tissues and Bloch equations for describing the behavior of the macroscopic magnetization in magnetic resonance imaging.In the next (final) issue, partial differential equations and various methods for solving them will be introduced together with some examples in medical physics.
在本期中，介绍了联立微分方程。这些微分方程在医学物理领域经常被使用。还介绍了求解它们的方法，包括拉普拉斯变换和矩阵方法。还介绍了一些例子，其中拉普拉斯变换和矩阵方法被应用于求解从用于分析组织中葡萄糖代谢的三室动力学模型以及用于描述磁共振成像中宏观磁化行为的布洛赫方程导出的联立微分方程。在下一期（最后一期）中，将介绍偏微分方程及其各种求解方法，并结合医学物理中的一些例子。
