Kinetic modelling in haemodialysis is usually based upon the resolution of volume-defined compartment models. The interaction among these compartments is described by purely diffusive processes. In this paper we present an alternative kinetic model for uremic toxins in post-dilutional haemodiafiltration treatments by means of a unidimensional diffusion equation. A wide range of solutes such as urea, creatinine, $\beta _{2}$-microglobulin, myoglobin and prolactin were studied by imposing appropriate boundary and initial conditions in a virtual [0,1] domain. The diffusivity along the domain and the extraction rate at the dialyser are the kinetic parameters which were fitted by least-squares for every studied solute. The accuracy of the presented volumeless model as well as the behavior of the proposed kinetic parameters could be an alternative to the compartment description for a variety of molecular weight uremic toxins undergoing different treatment configurations.

中文翻译：

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一维扩散模型应用于血液透析滤过治疗中的尿毒症毒素动力学。

血液透析中的动力学建模通常基于体积定义的腔室模型的分辨率。这些隔室之间的相互作用通过纯扩散过程来描述。在本文中，我们通过一维扩散方程介绍了稀释后血液透析滤过治疗中尿毒症毒素的替代动力学模型。通过在虚拟[0,1]域中施加适当的边界和初始条件，研究了各种溶质，例如尿素，肌酐，$ \β_ {2} $-微球蛋白，肌红蛋白和催乳激素。沿畴的扩散率和在透析器处的萃取速率是动力学参数，其由每种研究溶质的最小二乘拟合。