A mathematical analysis of the U-shaped hybrid artificial pancreas--a novel insulin release rate equation.
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.
Mullon
C J
CJ
W. R. Grace & Co.-Conn., Research Division, Lexington, Massachusetts 02173.
Norton
C A
CA
D000818:Animals; D001187:Artificial Organs; D005947:Glucose / Q000378:metabolism; D006801:Humans; D007328:Insulin / Q000378:metabolism*; D008433:Mathematics; D008954:Models, Biological; D010179:Pancreas / Q000378:metabolism*
D007328:Insulin; D005947:Glucose