The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows

L. J. White; N. D. Evans; T. J G M Lam; Y. H. Schukken; G. F. Medley; K. R. Godfrey; M. J. Chappell

doi:10.1016/S0025-5564(01)00080-3

The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows

L. J. White^*, N. D. Evans, T. J G M Lam, Y. H. Schukken, G. F. Medley, K. R. Godfrey, M. J. Chappell

^*Corresponding author for this work

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

Abstract

A structural identifiability analysis is performed on a mathematical model for the coupled transmission of two classes of pathogen. The pathogens, classified as major and minor, are aetiological agents of mastitis in dairy cows that interact directly and via the immunological reaction in their hosts. Parameter estimates are available from experimental data for all but four of the parameters in the model. Data from a longitudinal study of infection are used to estimate these unknown parameters. A novel approach and application of structural identifiability analysis is combined in this paper with the estimation of cross-protection parameters using epidemiological data.

Original language	English
Pages (from-to)	77-90
Number of pages	14
Journal	Mathematical Biosciences
Volume	174
Issue number	2
DOIs	https://doi.org/10.1016/S0025-5564(01)00080-3
Publication status	Published - 1 Dec 2001

Keywords

Cross-protection
Mastitis
Mathematical model
Multispecies
Multistrain
Structural identifiability

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10.1016/S0025-5564(01)00080-3

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title = "The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows",

abstract = "A structural identifiability analysis is performed on a mathematical model for the coupled transmission of two classes of pathogen. The pathogens, classified as major and minor, are aetiological agents of mastitis in dairy cows that interact directly and via the immunological reaction in their hosts. Parameter estimates are available from experimental data for all but four of the parameters in the model. Data from a longitudinal study of infection are used to estimate these unknown parameters. A novel approach and application of structural identifiability analysis is combined in this paper with the estimation of cross-protection parameters using epidemiological data.",

keywords = "Cross-protection, Mastitis, Mathematical model, Multispecies, Multistrain, Structural identifiability",

author = "White, {L. J.} and Evans, {N. D.} and Lam, {T. J G M} and Schukken, {Y. H.} and Medley, {G. F.} and Godfrey, {K. R.} and Chappell, {M. J.}",

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T1 - The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows

AU - White, L. J.

AU - Evans, N. D.

AU - Lam, T. J G M

AU - Schukken, Y. H.

AU - Medley, G. F.

AU - Godfrey, K. R.

AU - Chappell, M. J.

PY - 2001/12/1

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N2 - A structural identifiability analysis is performed on a mathematical model for the coupled transmission of two classes of pathogen. The pathogens, classified as major and minor, are aetiological agents of mastitis in dairy cows that interact directly and via the immunological reaction in their hosts. Parameter estimates are available from experimental data for all but four of the parameters in the model. Data from a longitudinal study of infection are used to estimate these unknown parameters. A novel approach and application of structural identifiability analysis is combined in this paper with the estimation of cross-protection parameters using epidemiological data.

AB - A structural identifiability analysis is performed on a mathematical model for the coupled transmission of two classes of pathogen. The pathogens, classified as major and minor, are aetiological agents of mastitis in dairy cows that interact directly and via the immunological reaction in their hosts. Parameter estimates are available from experimental data for all but four of the parameters in the model. Data from a longitudinal study of infection are used to estimate these unknown parameters. A novel approach and application of structural identifiability analysis is combined in this paper with the estimation of cross-protection parameters using epidemiological data.

KW - Cross-protection

KW - Mastitis

KW - Mathematical model

KW - Multispecies

KW - Multistrain

KW - Structural identifiability

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C2 - 11730858

AN - SCOPUS:0035671987

SN - 0025-5564

VL - 174

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EP - 90

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 2

ER -

The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows

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Keywords

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