Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.

Variability is an intrinsic property of biological systems and is often at the heart of their complex behaviour. Examples range from cell-to-cell variability in cell signalling pathways to variability in the response to treatment across patients. A popular approach to model and understand this varia...

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Main Authors: David Augustin, Ben Lambert, Ken Wang, Antje-Christine Walz, Martin Robinson, David Gavaghan
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-05-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1011135
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author David Augustin
Ben Lambert
Ken Wang
Antje-Christine Walz
Martin Robinson
David Gavaghan
author_facet David Augustin
Ben Lambert
Ken Wang
Antje-Christine Walz
Martin Robinson
David Gavaghan
author_sort David Augustin
collection DOAJ
description Variability is an intrinsic property of biological systems and is often at the heart of their complex behaviour. Examples range from cell-to-cell variability in cell signalling pathways to variability in the response to treatment across patients. A popular approach to model and understand this variability is nonlinear mixed effects (NLME) modelling. However, estimating the parameters of NLME models from measurements quickly becomes computationally expensive as the number of measured individuals grows, making NLME inference intractable for datasets with thousands of measured individuals. This shortcoming is particularly limiting for snapshot datasets, common e.g. in cell biology, where high-throughput measurement techniques provide large numbers of single cell measurements. We introduce a novel approach for the estimation of NLME model parameters from snapshot measurements, which we call filter inference. Filter inference uses measurements of simulated individuals to define an approximate likelihood for the model parameters, avoiding the computational limitations of traditional NLME inference approaches and making efficient inferences from snapshot measurements possible. Filter inference also scales well with the number of model parameters, using state-of-the-art gradient-based MCMC algorithms such as the No-U-Turn Sampler (NUTS). We demonstrate the properties of filter inference using examples from early cancer growth modelling and from epidermal growth factor signalling pathway modelling.
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spelling doaj.art-984f3332f1044c98ae97de2b067c856a2023-06-16T05:30:40ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582023-05-01195e101113510.1371/journal.pcbi.1011135Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.David AugustinBen LambertKen WangAntje-Christine WalzMartin RobinsonDavid GavaghanVariability is an intrinsic property of biological systems and is often at the heart of their complex behaviour. Examples range from cell-to-cell variability in cell signalling pathways to variability in the response to treatment across patients. A popular approach to model and understand this variability is nonlinear mixed effects (NLME) modelling. However, estimating the parameters of NLME models from measurements quickly becomes computationally expensive as the number of measured individuals grows, making NLME inference intractable for datasets with thousands of measured individuals. This shortcoming is particularly limiting for snapshot datasets, common e.g. in cell biology, where high-throughput measurement techniques provide large numbers of single cell measurements. We introduce a novel approach for the estimation of NLME model parameters from snapshot measurements, which we call filter inference. Filter inference uses measurements of simulated individuals to define an approximate likelihood for the model parameters, avoiding the computational limitations of traditional NLME inference approaches and making efficient inferences from snapshot measurements possible. Filter inference also scales well with the number of model parameters, using state-of-the-art gradient-based MCMC algorithms such as the No-U-Turn Sampler (NUTS). We demonstrate the properties of filter inference using examples from early cancer growth modelling and from epidermal growth factor signalling pathway modelling.https://doi.org/10.1371/journal.pcbi.1011135
spellingShingle David Augustin
Ben Lambert
Ken Wang
Antje-Christine Walz
Martin Robinson
David Gavaghan
Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.
PLoS Computational Biology
title Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.
title_full Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.
title_fullStr Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.
title_full_unstemmed Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.
title_short Filter inference: A scalable nonlinear mixed effects inference approach for snapshot time series data.
title_sort filter inference a scalable nonlinear mixed effects inference approach for snapshot time series data
url https://doi.org/10.1371/journal.pcbi.1011135
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