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

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

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