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Calibrations and validations of biological models with an application on the renal fibrosis

Karagiannis, G.; Hao, W.; Lin, G.

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Authors

W. Hao

G. Lin



Abstract

We calibrate a mathematical model of renal tubulointerstitial fibrosis by Hao et al which is used to explore potential drugs for Lupus Nephritis, against a real data set of 84 patients. For this purpose, we present a general calibration procedure which can be used for the calibration analysis of other biological systems as well. Central to the procedure is the idea of designing a Bayesian Gaussian process (GP) emulator that can be used as a surrogate of the fibrosis mathematical model which is computationally expensive to run massively at every input value. The procedure relies on detecting influential model parameters by a GP‐based sensitivity analysis, and calibrating them by specifying a maximum likelihood criterion, tailored to the application, which is optimized via Bayesian global optimization.

Citation

Karagiannis, G., Hao, W., & Lin, G. (2020). Calibrations and validations of biological models with an application on the renal fibrosis. International Journal for Numerical Methods in Biomedical Engineering, 36(5), Article e3329. https://doi.org/10.1002/cnm.3329

Journal Article Type Article
Acceptance Date Feb 23, 2020
Online Publication Date Feb 26, 2020
Publication Date 2020-05
Deposit Date Aug 15, 2020
Publicly Available Date Feb 26, 2021
Journal International Journal for Numerical Methods in Biomedical Engineering
Print ISSN 2040-7939
Electronic ISSN 2040-7947
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 36
Issue 5
Article Number e3329
DOI https://doi.org/10.1002/cnm.3329
Public URL https://durham-repository.worktribe.com/output/1263610

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Copyright Statement
This is the peer reviewed version of the following article: Karagiannis G, Hao W, Lin G. Calibrations and validations of biological models with
an application on the renal fibrosis. Int J Numer Meth Biomed Engng. 2020;36:e3329, which has been published in final form at https://doi.org/10.1002/cnm.3329. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions





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