Effective drug dosage design for treatment of infectious diseases using dynamic inversion

Bhardhwaj, Jayender R and Padhi, Radhakant (2006) Effective drug dosage design for treatment of infectious diseases using dynamic inversion. In: Journal of the Indian Institute of Science, 86 (3). pp. 377-388.

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Abstract

A generic nonlinear mathematical model describing the human immunological dynamics is used to design an effective automatic drug administration scheme. Even though the model describes the effects of various drugs on the dynamic system, this work is confined to the drugs that kill the invading pathogen and heal the affected organ. From a system theoretic point of view, the drug inputs can be interpreted as control inputs, which can be designed based on control theoretic concepts. The controller is designed based on the principle of dynamic inversion and is found to be effective in curing the �nominal model patient� by killing the invading microbes and healing the damaged organ. A major advantage of this technique is that it leads to a closed-form state feedback form of control. It is also proved from a rigorous mathematical analysis that the internal dynamics of the system remains stable when the proposed controller is applied. A robustness study is also carried out for testing the effectiveness of the drug administration scheme for parameter uncertainties. It is observed from simulation studies that the technique has adequate robustness for many �realistic model patients� having off-nominal parameter values as well.

Item Type:	Journal Article
Publication:	Journal of the Indian Institute of Science
Publisher:	The Indian Institute of Science (IISc)
Additional Information:	Copyright of this article belongs to The Indian Institute of Science (IISc).
Keywords:	Infectious disease;drug administration;dynamic inversion
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	26 Apr 2011 05:52
Last Modified:	26 Apr 2011 05:52
URI:	http://eprints.iisc.ac.in/id/eprint/37026

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