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Updated: Sep 30, 2026

A Multi-Parametric Islet Perifusion System within a Microfluidic Perifusion Device
Published on: January 26, 2010
A mathematical analysis of the U-shaped hybrid artificial pancreas--a novel insulin release rate equation
1W. R. Grace & Co.-Conn., Research Division, Lexington, Massachusetts 02173.
Abstract:
While most artificial pancreases rely mainly on diffusive transport of solutes, Reach et al. (1) proposed a U-shaped device which combines diffusive and convective transports to shorten the lag time between insulin release and a rise in blood glucose concentration. This paper presents a mathematical model which predicts well the performance of the U-shaped hybrid artificial pancreas for both square-wave and ramp glucose stimulations. The model uses a novel insulin secretion equation, and a possible inhibition mechanism regulating insulin secretion is also discussed.
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