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

Georgios Karagiannis, Wenrui Hao, Guang Lin

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article numbere3329
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Volume36
Issue number5
DOIs
StatePublished - May 1 2020

All Science Journal Classification (ASJC) codes

  • Software
  • Biomedical Engineering
  • Modeling and Simulation
  • Molecular Biology
  • Computational Theory and Mathematics
  • Applied Mathematics

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