Kovács, Laura and Paláncz, Béla and Kovács, Levente (2012) Solving Robust Glucose-Insulin Control by Dixon Resultant Computations. In: Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2012 14th International Symposium on. IEEE, Seattle, pp. 53-61. ISBN 978-1-4673-5026-6
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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.
| Item Type: | Book Section |
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| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 25 Sep 2015 08:01 |
| Last Modified: | 25 Sep 2015 08:01 |
| URI: | http://real.mtak.hu/id/eprint/27833 |
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