Title
Solving Robust Glucose-Insulin Control by Dixon Resultant Computations
Abstract
We present a symbolic approach towards solving the Bergman three-state minimal patient model of glucose metabolism. Our work first translates the Bergman three state minimal patient model into the modified control algebraic Riccati equation. Next, the modified control algebraic Ricatti equation is reduced to a system of polynomial equations, and an optimal (minimal) solution of these polynomials is computed using Dixon resultants. We demonstrate the use of our method by reporting on three case studies over glucose metabolism.
Year
DOI
Venue
2012
10.1109/SYNASC.2012.54
SYNASC
Keywords
Field
DocType
polynomials
Discrete mathematics,Algebraic number,Polynomial,Algebra,System of polynomial equations,Algebraic Riccati equation,Riccati equation,Mathematics,Computation
Conference
ISSN
Citations 
PageRank 
2470-8801
0
0.34
References 
Authors
1
3
Name
Order
Citations
PageRank
Laura Kovács149436.97
Béla Paláncz284.25
Levente Kovács39838.25