A Simple Mathematical Model of Cytokine Capture Using a Hemoadsorption Device

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Sepsis is a systemic response to infection characterized by increased production of inflammatory mediators including cytokines. Increased production of cytokines such as interleukin-6 (IL-6), interleukin-10 (IL-10), and tumor necrosis factor (TNF) can have deleterious effects. Removal of cytokines via adsorption onto porous polymer substrates using an extracorporeal device may be a potential therapy for sepsis. We are developing a cytokine adsorption device (CAD) containing microporous polymer beads that will be used to decrease circulating levels of IL-6, TNF, and IL-10. In this paper we present a mathematical model of cytokine adsorption within such a device. The model accounts for macroscale transport through the device and internal diffusion and adsorption within the microporous beads. The analysis results in a simple analytic expression for the removal rate of individual cytokines that depends on a single cytokine-polymer specific parameter, Γi. This model was fit to experimental data and the value of Γi was determined via nonlinear regression for IL-6, TNF, and IL-10. The model agreed well with the experimental data on the time course of cytokine removal. The model of the CAD and the values of Γi will be applied in mathematical models of the inflammatory process and treatment of patients with sepsis.

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