A linear code parameter search algorithm with applications to immunology

Gregory M. Constantine; John Bartels; Carson C. Chow; Gilles Clermont; Yoram Vodovotz

doi:10.1007/s10589-007-9118-9

A linear code parameter search algorithm with applications to immunology

Gregory M. Constantine, John Bartels, Carson C. Chow, Gilles Clermont, Yoram Vodovotz

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

Abstract

The immune system is modeled by way of a system of ordinary differential equations involving a large number of parameters, such as growth rates and initial conditions. Key to successful implementation of the model is the estimation of such parameters from available data. A parameter search algorithm based on linear codes is developed having as aim the identification of different regimes of behaviour of the model, the estimation of parameters in a high dimensional space, and the model calibration to data.

Original language	English
Pages (from-to)	155-171
Number of pages	17
Journal	Computational Optimization and Applications
Volume	42
Issue number	1
DOIs	https://doi.org/10.1007/s10589-007-9118-9
State	Published - Jan 2009
Externally published	Yes

Keywords

Differential equations
Dynamical system modeling
Immune system
Optimization

Access to Document

10.1007/s10589-007-9118-9

Cite this

@article{b00df4f2809d4b63a6d32e7d3f6aed72,

title = "A linear code parameter search algorithm with applications to immunology",

abstract = "The immune system is modeled by way of a system of ordinary differential equations involving a large number of parameters, such as growth rates and initial conditions. Key to successful implementation of the model is the estimation of such parameters from available data. A parameter search algorithm based on linear codes is developed having as aim the identification of different regimes of behaviour of the model, the estimation of parameters in a high dimensional space, and the model calibration to data.",

keywords = "Differential equations, Dynamical system modeling, Immune system, Optimization",

author = "Constantine, {Gregory M.} and John Bartels and Chow, {Carson C.} and Gilles Clermont and Yoram Vodovotz",

note = "Funding Information: This work was funded under the NIH grant GM67240.",

year = "2009",

month = jan,

doi = "10.1007/s10589-007-9118-9",

language = "English",

volume = "42",

pages = "155--171",

journal = "Computational Optimization and Applications",

issn = "0926-6003",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - A linear code parameter search algorithm with applications to immunology

AU - Constantine, Gregory M.

AU - Bartels, John

AU - Chow, Carson C.

AU - Clermont, Gilles

AU - Vodovotz, Yoram

N1 - Funding Information: This work was funded under the NIH grant GM67240.

PY - 2009/1

Y1 - 2009/1

N2 - The immune system is modeled by way of a system of ordinary differential equations involving a large number of parameters, such as growth rates and initial conditions. Key to successful implementation of the model is the estimation of such parameters from available data. A parameter search algorithm based on linear codes is developed having as aim the identification of different regimes of behaviour of the model, the estimation of parameters in a high dimensional space, and the model calibration to data.

AB - The immune system is modeled by way of a system of ordinary differential equations involving a large number of parameters, such as growth rates and initial conditions. Key to successful implementation of the model is the estimation of such parameters from available data. A parameter search algorithm based on linear codes is developed having as aim the identification of different regimes of behaviour of the model, the estimation of parameters in a high dimensional space, and the model calibration to data.

KW - Differential equations

KW - Dynamical system modeling

KW - Immune system

KW - Optimization

UR - http://www.scopus.com/inward/record.url?scp=58149508817&partnerID=8YFLogxK

U2 - 10.1007/s10589-007-9118-9

DO - 10.1007/s10589-007-9118-9

M3 - Article

AN - SCOPUS:58149508817

SN - 0926-6003

VL - 42

SP - 155

EP - 171

JO - Computational Optimization and Applications

JF - Computational Optimization and Applications

IS - 1

ER -

A linear code parameter search algorithm with applications to immunology

Abstract

Keywords

Access to Document

Fingerprint

Cite this