Pharmacokinetics with uncertainties in rate constants- II: Sensitivity analysis and optimal dosage control

T. T. Soong

doi:10.1016/0025-5564(72)90057-0

Pharmacokinetics with uncertainties in rate constants- II: Sensitivity analysis and optimal dosage control

T. T. Soong

Department of Civil, Structural & Environmental Engineering

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

Based upon compartment models, the effect of random variations in the rate constants on the optimal drug dosage control is considered. An expected relative sensitivity function of control is defined and, using the notion of Kronecker products, it is shown that a direct evaluation of the sensitivity function is possible in terms of the statistics of the rate constants.

Original language	English
Pages (from-to)	391-396
Number of pages	6
Journal	Mathematical Biosciences
Volume	13
Issue number	3-4
DOIs	https://doi.org/10.1016/0025-5564(72)90057-0
State	Published - Apr 1972

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title = "Pharmacokinetics with uncertainties in rate constants- II: Sensitivity analysis and optimal dosage control",

abstract = "Based upon compartment models, the effect of random variations in the rate constants on the optimal drug dosage control is considered. An expected relative sensitivity function of control is defined and, using the notion of Kronecker products, it is shown that a direct evaluation of the sensitivity function is possible in terms of the statistics of the rate constants.",

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AB - Based upon compartment models, the effect of random variations in the rate constants on the optimal drug dosage control is considered. An expected relative sensitivity function of control is defined and, using the notion of Kronecker products, it is shown that a direct evaluation of the sensitivity function is possible in terms of the statistics of the rate constants.

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DO - 10.1016/0025-5564(72)90057-0

M3 - Article

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VL - 13

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JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 3-4

ER -

Pharmacokinetics with uncertainties in rate constants- II: Sensitivity analysis and optimal dosage control

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