Parameter identification for an autonomous 11th order nonlinear model of a physiological process

A. Rundell, R. DeCarlo, P. Doerschuk, Harm HogenEsch

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

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 us 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 herein are applicable to other nonlinear systems which exhibit similar time-sequenced properties.

Original languageEnglish (US)
Title of host publicationProceedings of the 1998 American Control Conference, ACC 1998
Pages3585-3589
Number of pages5
Volume6
DOIs
StatePublished - 1998
Externally publishedYes
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: Jun 24 1998Jun 26 1998

Other

Other1998 American Control Conference, ACC 1998
CountryUnited States
CityPhiladelphia, PA
Period6/24/986/26/98

Fingerprint

Identification (control systems)
Nonlinear systems

Keywords

  • Biological process
  • Humoral immune response
  • Identification
  • Nonlinear model
  • Simulation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Rundell, A., DeCarlo, R., Doerschuk, P., & HogenEsch, H. (1998). Parameter identification for an autonomous 11th order nonlinear model of a physiological process. In Proceedings of the 1998 American Control Conference, ACC 1998 (Vol. 6, pp. 3585-3589). [703280] https://doi.org/10.1109/ACC.1998.703280

Parameter identification for an autonomous 11th order nonlinear model of a physiological process. / Rundell, A.; DeCarlo, R.; Doerschuk, P.; HogenEsch, Harm.

Proceedings of the 1998 American Control Conference, ACC 1998. Vol. 6 1998. p. 3585-3589 703280.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rundell, A, DeCarlo, R, Doerschuk, P & HogenEsch, H 1998, Parameter identification for an autonomous 11th order nonlinear model of a physiological process. in Proceedings of the 1998 American Control Conference, ACC 1998. vol. 6, 703280, pp. 3585-3589, 1998 American Control Conference, ACC 1998, Philadelphia, PA, United States, 6/24/98. https://doi.org/10.1109/ACC.1998.703280
Rundell A, DeCarlo R, Doerschuk P, HogenEsch H. Parameter identification for an autonomous 11th order nonlinear model of a physiological process. In Proceedings of the 1998 American Control Conference, ACC 1998. Vol. 6. 1998. p. 3585-3589. 703280 https://doi.org/10.1109/ACC.1998.703280
Rundell, A. ; DeCarlo, R. ; Doerschuk, P. ; HogenEsch, Harm. / Parameter identification for an autonomous 11th order nonlinear model of a physiological process. Proceedings of the 1998 American Control Conference, ACC 1998. Vol. 6 1998. pp. 3585-3589
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