NDLI: Parameter identification for an autonomous 11/sup th/ order nonlinear model of a physiological process

Content Provider	IEEE Xplore Digital Library
Author	Rundell, A. DeCarlo, R. Doerschuk, P. HogenEsch, H.
Copyright Year	1998
Description	Author affiliation: Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA (Rundell, A.)
Abstract	This paper sets forth and illustrates some techniques for parameter identification (PId) of a nonlinear state model that approximates the dynamical behavior of the humoral immune response of a human to Haemophilus influenzae Type-b. The natural physiological time-separation of the primary, late follicular, and secondary immune responses of this biological process allows one to divide the PId problem into a sequence of smaller PId sub-problems. To reduce the dimension of the PId even further, coupling effects are minimized or eliminated by temporarily replacing variables and/or certain other functions of variables by approximate a priori known time functions called exogenous inputs. This sequence of low dimensional PId problems entails matching a set of one or two parameters at each step to a time-attribute pair defined as a maximum or minimum measured concentration level in a given time window. The identification sub-problem solution reduces to the inverse of an approximate local parameter-to-measurement map. The techniques presented are applicable to other nonlinear systems which exhibit similar time-sequenced properties.
Starting Page	3585
Ending Page	3589
File Size	576500
Page Count	5
File Format	PDF
ISBN	0780345304
ISSN	07431619
DOI	10.1109/ACC.1998.703280
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-06-26
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Parameter estimation Immune system Biological system modeling Least squares approximation Least squares methods Humans Biological processes Delay Time measurement Nonlinear systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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