Karagiannis, G. and Hao, W. and 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). e3329.
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (516Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1002/cnm.3329 |
| Publisher 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 |
| Date accepted: | 23 February 2020 |
| Date deposited: | 15 January 2021 |
| Date of first online publication: | 26 February 2020 |
| Date first made open access: | 26 February 2021 |
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