### 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 language | English (US) |
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Title of host publication | Proceedings of the 1998 American Control Conference, ACC 1998 |

Pages | 3585-3589 |

Number of pages | 5 |

DOIs | |

State | Published - Dec 1 1998 |

Externally published | Yes |

Event | 1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States Duration: Jun 24 1998 → Jun 26 1998 |

### Publication series

Name | Proceedings of the American Control Conference |
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Volume | 6 |

ISSN (Print) | 0743-1619 |

### Other

Other | 1998 American Control Conference, ACC 1998 |
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Country | United States |

City | Philadelphia, PA |

Period | 6/24/98 → 6/26/98 |

### Keywords

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

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

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## Cite this

^{th}order nonlinear model of a physiological process. In

*Proceedings of the 1998 American Control Conference, ACC 1998*(pp. 3585-3589). [703280] (Proceedings of the American Control Conference; Vol. 6). https://doi.org/10.1109/ACC.1998.703280