Cerebral blood flow and perfusion can be estimated using tracer dilution experiments. Accurate estimation of blood flow parameters is a crucial part of medical imaging for effective diagnosis and treatment. This study explores two themes: (i) the derivation of the gamma variate function as a response tracer infusion and (ii) the estimation of impulse and residue functions from tracer dilution curves parameters via the least squares method.

翻译：脑血流量与灌注可通过示踪剂稀释实验进行估算。血流参数的准确估计是医学影像中实现有效诊断与治疗的关键环节。本研究探讨两个主题：（i）伽马变异函数作为响应示踪剂输注的推导过程，以及（ii）通过最小二乘法从示踪剂稀释曲线参数中估计脉冲函数与残差函数。