Name
Title | ||
|---|---|---|
Periodic optimization of a class of bilinear systems with application to control of cell proliferation and cancer therapy. |
Abstract | ||
|---|---|---|
The authors are concerned with the optimization of a class of bilinear systems under an exponential stability constraint by periodic control functions. Such problems arise in many practical applications, a typical one being the design of optimal strategies for cancer chemotherapy by a suitable control of the proliferation kinetics of cell populations. To provide a focus to the approach used for optimization and the utility of periodic controls, this particular application is discussed in detail. An integration of a pharmacokinetic model with a multicompartmental model for cell proliferation is made. This is done in order to obtain a mathematical formulation of the problem of designing treatment strategies as a parameter optimization problem of determining the optimal dose and the optimal period for minimizing the total quantity of drug administered (and hence the host toxicity) under a specified rate of cure constraint. A procedure for solving this problem is developed, and an illustration is made by designing strategies for administering the phase-specific drug ara-c on L1210 leukemia. |
Year | DOI | Venue |
|---|---|---|
1985 | 10.1109/TSMC.1985.6313398 | IEEE Transactions on Systems, Man and Cybernetics |
Keywords | Field | DocType |
biocybernetics | Mathematical optimization,Cancer chemotherapy,Control theory,Computer science,Bilinear systems,Cancer therapy,Exponential stability,Periodic graph (geometry),Optimization problem,Biocybernetics,Patient treatment | Journal |
Volume | Issue | ISSN |
15 | 1 | 0018-9472 |
Citations | PageRank | References |
4 | 7.10 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Malur K. Sundareshan | 1 | 197 | 55.32 |
| Richard S. Fundakowski | 2 | 4 | 7.10 |