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Learning pharmacometric covariate model structures with symbolic regression networks

Wahlquist, Ylva LU ; Sundell, Jesper LU and Soltesz, Kristian LU orcid (2023) In Journal of Pharmacokinetics and Pharmacodynamics
Abstract
Efficiently finding covariate model structures that minimize the need for random effects to describe pharmacological data is challenging. The standard approach focuses on identification of relevant covariates, and present methodology lacks tools for automatic identification of covariate model structures. Although neural networks could potentially be used to approximate covariate-parameter relationships, such approximations are not human-readable and come at the risk of poor generalizability due to high model complexity. In the present study, a novel methodology for simultaneous selection of covariate model structure and optimization of its parameters is proposed. It is based on symbolic regression, posed as an optimization problem with... (More)
Efficiently finding covariate model structures that minimize the need for random effects to describe pharmacological data is challenging. The standard approach focuses on identification of relevant covariates, and present methodology lacks tools for automatic identification of covariate model structures. Although neural networks could potentially be used to approximate covariate-parameter relationships, such approximations are not human-readable and come at the risk of poor generalizability due to high model complexity. In the present study, a novel methodology for simultaneous selection of covariate model structure and optimization of its parameters is proposed. It is based on symbolic regression, posed as an optimization problem with smooth loss function. This enables training the model through back-propagation using efficient gradient computations. Feasibility and effectiveness is demonstrated by application to a clinical pharmacokinetic data set for propofol, containing infusion and blood sample time series from 1,031 individuals. The resulting model is compared to a published state-of-the-art model for the same data set. Our methodology finds a covariate model structure and corresponding parameter values with a slightly better fit, while relying on notably fewer covariates than the state-of the-art model. Unlike contemporary practice, finding the covariate model structure is achieved without an iterative procedure involving manual interactions. (Less)
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Pharmacokinetics and Pharmacodynamics
publisher
Springer
external identifiers
  • scopus:85174590660
  • pmid:37864654
ISSN
1567-567X
DOI
10.1007/s10928-023-09887-3
project
Learning pharmacometric model structures from data
language
English
LU publication?
yes
id
c153366c-3781-45f5-bb2b-411853e32320
alternative location
https://rdcu.be/dpaAv
date added to LUP
2023-06-21 09:33:59
date last changed
2023-12-21 03:00:39
@article{c153366c-3781-45f5-bb2b-411853e32320,
  abstract     = {{Efficiently finding covariate model structures that minimize the need for random effects to describe pharmacological data is challenging. The standard approach focuses on identification of relevant covariates, and present methodology lacks tools for automatic identification of covariate model structures. Although neural networks could potentially be used to approximate covariate-parameter relationships, such approximations are not human-readable and come at the risk of poor generalizability due to high model complexity. In the present study, a novel methodology for simultaneous selection of covariate model structure and optimization of its parameters is proposed. It is based on symbolic regression, posed as an optimization problem with smooth loss function. This enables training the model through back-propagation using efficient gradient computations. Feasibility and effectiveness is demonstrated by application to a clinical pharmacokinetic data set for propofol, containing infusion and blood sample time series from 1,031 individuals. The resulting model is compared to a published state-of-the-art model for the same data set. Our methodology finds a covariate model structure and corresponding parameter values with a slightly better fit, while relying on notably fewer covariates than the state-of the-art model. Unlike contemporary practice, finding the covariate model structure is achieved without an iterative procedure involving manual interactions.}},
  author       = {{Wahlquist, Ylva and Sundell, Jesper and Soltesz, Kristian}},
  issn         = {{1567-567X}},
  language     = {{eng}},
  publisher    = {{Springer}},
  series       = {{Journal of Pharmacokinetics and Pharmacodynamics}},
  title        = {{Learning pharmacometric covariate model structures with symbolic regression networks}},
  url          = {{http://dx.doi.org/10.1007/s10928-023-09887-3}},
  doi          = {{10.1007/s10928-023-09887-3}},
  year         = {{2023}},
}