Compartmental modelling refers to modelling the transport of substances in a system consisting of multiple compartments, which is characterized by the transfer rates among the relevant compartments. In a generalized compartmental system, recycling of substances among the compartments is allowed. Compartmental modelling is a generic technique which is needed in many branches of applied physics. The most challenging task is to determine the transfer rates. The present work described the use of the Hooke and Jeeves (HJ) derivative free direct search method in determining the transfer rates to construct a multi-compartmental model with recycling among the compartments. The use of a direct search method ensures the applicability of the model to functions which are not continuous or differentiable. The present model was successfully validated using previously reported experimental data for distribution of trace elements in four compartments in an animal.

中文翻译：

---

使用Hooke和Jeeves直接搜索方法对多室数据进行非线性拟合

隔室建模是指对由多个隔室组成的系统中的物质传输进行建模，其特征在于相关隔室之间的传输速率。在通用隔室系统中，允许在隔室之间回收物质。隔室建模是应用物理学的许多分支所需要的通用技术。最具挑战性的任务是确定传输速率。本工作描述了在确定传输速率时使用Hooke and Jeeves（HJ）无导数直接搜索方法来构建具有隔间循环的多隔室模型的方法。直接搜索方法的使用确保了模型对不连续或不可微的函数的适用性。