Nose Y, Nakamura T, Nakamura M
Basic Res Cardiol. 1985 Jul-Aug;80(4):417-29. doi: 10.1007/BF01908186.
When microspheres are injected into the circulation, they are trapped in the arteriolar or capillary system within various organs. It has been confirmed in animal experiments that the number of microspheres in a myocardial sample approximately follows a Poisson distribution, under adequate experimental conditions. On the basis of this result, we arrived at the following hypothesis: When regional blood flow is measured under a steady state by the reference sample method, the 95% relative error can be approximated by +/- 196 square root 1/v + 1/w, where v and w represent the number of microspheres in blood sample and myocardial sample, respectively. The equation is valid if v and w are greater than 400 and 49, respectively. We obtained an expression of the relation among the percent of increase or decrease in regional blood flow being verified, the probability of increase or decrease, as a statistically significant variation and the number of microspheres in a myocardial sample. An investigator can work out an approximate experimental design using this expression. For instance, when the increase in regional blood flow required for verification is expected to be 20% and he wants this increase to be verified by 90%-probability and as a statistically significant increase, he can predict from this expression that the number of microspheres in a myocardial sample should be 472 and 567 before and after the experimental intervention on the coronary circulation, respectively. The expression is useful as index for experiments involving use of the microsphere method.
当微球被注入循环系统时,它们会被困在各个器官的小动脉或毛细血管系统中。动物实验已证实,在适当的实验条件下,心肌样本中的微球数量大致呈泊松分布。基于这一结果,我们得出了以下假设:当采用参比样本法在稳态下测量局部血流量时,95%的相对误差可近似为±196√(1/v + 1/w),其中v和w分别代表血样和心肌样本中的微球数量。如果v大于400且w大于49,该公式有效。我们得出了被验证的局部血流量增加或减少的百分比、作为统计学显著变化的增加或减少的概率以及心肌样本中微球数量之间的关系表达式。研究者可以使用该表达式制定一个近似的实验设计。例如,当预期被验证的局部血流量增加20%,且希望以90%的概率将这种增加验证为统计学显著增加时,他可以根据该表达式预测,在对冠状动脉循环进行实验干预之前和之后,心肌样本中的微球数量应分别为472和567。该表达式作为涉及使用微球法的实验指标很有用。