Optimal periodic control of a drug delivery system

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 37, Issue 9, 2004, Pages 989-994

  Varigonda, Subbarao ^a   Georgiou, Tryphon T ^b   Siegel, Ronald A ^b   Daoutidis, Prodromos ^c  

^a UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

^c University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DETERIORATION; DRUG INFUSION; TARGETED DRUG DELIVERY;

COMPUTATIONAL APPROACH; DIFFERENTIAL FLATNESS; DRUG DELIVERY STRATEGIES; DRUG DELIVERY SYSTEM; DYNAMIC OPTIMIZATION PROBLEM (DOP); OPTIMAL PERIODIC CONTROL; PHARMACOKINETIC PHARMACODYNAMIC MODELS; REPRESENTATIVE SET OF PARAMETERS;

CONTROLLED DRUG DELIVERY;

EID: 85083259966     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. Bernstein, D. S. and E. G. Gilbert (1980). Optimal periodic control: The π test revisited. IEEE Trans. Automat. Contr. AC-25(4), 673-684.
2. Bittanti, S. and G. Guardabassi (1986). Optimal periodic control and periodic systems analysis: An overview. In: Proc. of the IEEE CDC. Athens, Greece, pp. 1417-1423.
3. Bittanti, S., G. Fronza and G. Guardabassi (1973). Periodic control: A frequency domain approach. IEEE Trans. Automat. Contr. AC-18(1), 33-38.
4. Bryson, A. E. (1999). Dynamic Optimization. Addison Wesley.
5. Fliess, M. and et al. (1995). Flatness and defect of nonlinear systems: introductory theory and examples. Int. J. Control 61(6), 1327-1361.
6. Kansal, S., J. F. Forbes and M. Guay (2000). Constrained optimization of nonlinear, dynamic chemical processes-a normalized form approach. In: Preprints of IFAC ADCHEM. Vol. 2. Pisa, Italy, pp. 791-796.
7. Leroux, J-C. and R. A. Siegel (1999). Autonomous gel/enzyme oscillator fueled by glucose: Preliminary evidence for oscillations. Chaos 9(2), 267-275.
8. Mahadevan, R., S. K. Agrawal and F. J. Doyle III (2000). A flatness based approach to optimization in fed-batch bioreactors. In: Preprints of IFAC ADCHEM. Vol. 1. Pisa, Italy, pp. 111-116.
9. Martin, Ph., R. M. Murray and P. Rouchon (2003). Flat systems, equivalence and trajectory generation. Technical report. CDS Technical report.
10. Maurer, H., Ch. Büskens and G. Feichtinger (1998). Solution techniques for periodic control problems: A case study in production planning. Optimal Control Appl. and Methods 19(3), 185-203.
11. Oldenburg, J. and W. Marquardt (2000). Dynamic optimization based on higher order differential model representations. In: Preprints of IFAC ADCHEM. Vol. 2. Pisa, Italy. pp. 809-814.
12. Porchet, H. C, N. L. Benowitz and L. Sheiner (1988). Pharmacodynamic model of tolerance: application to nicotine. J. Pharmacol. Exp. Therap. 244, 231-236.
13. PSE (n.d.). gPROMS: General process modeling system, http://www.psenterprise.com.
14. Siegel, R. A. (1997). Controlled Drug Delivery, Challenges and Strategies. Chap. 25 (Modeling of Self-Regulating Oscillatory Drug Delivery). American Chemical Society. Washington D.C.. edited by Park, K.
15. van Nieuwstadt, M., M. Rathinam and R. M. Murray (1998). Differential flatness and absolute equivalence of nonlinear control systems. SIAM J. Control Optim. 36(4), 1225-1239.
16. Varigonda, S., T. T. Georgiou and P. Daoutidis (2004). Numerical solution of the optimal periodic control problem using differential flatness. IEEE Trans. Automat. Contr. 49(2), 271-5.
17. Zou, X. and R. A. Siegel (1999). Modeling of oscillatory dynamics of a simple enzyme-diffusion system with hysteresis, the case of lumped permeabilities. J. Chem. Phys. 110(4), 2267-79.