Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]

Background: Growth trajectories are highly variable between children, making epidemiological analyses challenging both to the identification of malnutrition interventions at the population level and also risk assessment at individual level. We introduce stochastic differential equation (SDE) models...

Full description

Bibliographic Details
Main Authors: Fraser I Lewis, Godfrey Guga, Paschal Mdoe, Esto Mduma, Cloupas Mahopo, Pascal Bessong, Stephanie A Richard, Benjamin J J McCormick
Format: Article
Language:English
Published: F1000 Research Ltd 2020-11-01
Series:Gates Open Research
Online Access:https://gatesopenresearch.org/articles/4-71/v2
_version_ 1818666180336943104
author Fraser I Lewis
Godfrey Guga
Paschal Mdoe
Esto Mduma
Cloupas Mahopo
Pascal Bessong
Stephanie A Richard
Benjamin J J McCormick
author_facet Fraser I Lewis
Godfrey Guga
Paschal Mdoe
Esto Mduma
Cloupas Mahopo
Pascal Bessong
Stephanie A Richard
Benjamin J J McCormick
author_sort Fraser I Lewis
collection DOAJ
description Background: Growth trajectories are highly variable between children, making epidemiological analyses challenging both to the identification of malnutrition interventions at the population level and also risk assessment at individual level. We introduce stochastic differential equation (SDE) models into child growth research. SDEs describe flexible dynamic processes comprising: drift - gradual smooth changes – such as physiology or gut microbiome, and diffusion - sudden perturbations, such as illness or infection. Methods: We present a case study applying SDE models to child growth trajectory data from the Haydom, Tanzania and Venda, South Africa sites within the MAL-ED cohort. These data comprise n=460 children aged 0-24 months. A comparison with classical curve fitting (linear mixed models) is also presented. Results: The SDE models offered a wide range of new flexible shapes and parameterizations compared to classical additive models, with performance as good or better than standard approaches. The predictions from the SDE models suggest distinct longitudinal clusters that form distinct ‘streams’ hidden by the large between-child variability. Conclusions: Using SDE models to predict future growth trajectories revealed new insights in the observed data, where trajectories appear to cluster together in bands, which may have a future risk assessment application. SDEs offer an attractive approach for child growth modelling and potentially offer new insights.
first_indexed 2024-12-17T06:00:26Z
format Article
id doaj.art-ab036e29f3574cc9b5a5c365fcafcfb2
institution Directory Open Access Journal
issn 2572-4754
language English
last_indexed 2024-12-17T06:00:26Z
publishDate 2020-11-01
publisher F1000 Research Ltd
record_format Article
series Gates Open Research
spelling doaj.art-ab036e29f3574cc9b5a5c365fcafcfb22022-12-21T22:00:54ZengF1000 Research LtdGates Open Research2572-47542020-11-01410.12688/gatesopenres.13123.214421Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]Fraser I Lewis0Godfrey Guga1Paschal Mdoe2Esto Mduma3Cloupas Mahopo4Pascal Bessong5Stephanie A Richard6Benjamin J J McCormick7Independent Researcher, Utrecht, The NetherlandsHaydom Lutheran Hospital, Haydom, TanzaniaHaydom Lutheran Hospital, Haydom, TanzaniaHaydom Lutheran Hospital, Haydom, TanzaniaUniversity of Venda, Thohoyandou, 0950, South AfricaUniversity of Venda, Thohoyandou, 0950, South AfricaFogarty International Center, Bethesda, MD, USAFogarty International Center, Bethesda, MD, USABackground: Growth trajectories are highly variable between children, making epidemiological analyses challenging both to the identification of malnutrition interventions at the population level and also risk assessment at individual level. We introduce stochastic differential equation (SDE) models into child growth research. SDEs describe flexible dynamic processes comprising: drift - gradual smooth changes – such as physiology or gut microbiome, and diffusion - sudden perturbations, such as illness or infection. Methods: We present a case study applying SDE models to child growth trajectory data from the Haydom, Tanzania and Venda, South Africa sites within the MAL-ED cohort. These data comprise n=460 children aged 0-24 months. A comparison with classical curve fitting (linear mixed models) is also presented. Results: The SDE models offered a wide range of new flexible shapes and parameterizations compared to classical additive models, with performance as good or better than standard approaches. The predictions from the SDE models suggest distinct longitudinal clusters that form distinct ‘streams’ hidden by the large between-child variability. Conclusions: Using SDE models to predict future growth trajectories revealed new insights in the observed data, where trajectories appear to cluster together in bands, which may have a future risk assessment application. SDEs offer an attractive approach for child growth modelling and potentially offer new insights.https://gatesopenresearch.org/articles/4-71/v2
spellingShingle Fraser I Lewis
Godfrey Guga
Paschal Mdoe
Esto Mduma
Cloupas Mahopo
Pascal Bessong
Stephanie A Richard
Benjamin J J McCormick
Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]
Gates Open Research
title Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]
title_full Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]
title_fullStr Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]
title_full_unstemmed Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]
title_short Introducing a drift and diffusion framework for childhood growth research [version 2; peer review: 2 approved]
title_sort introducing a drift and diffusion framework for childhood growth research version 2 peer review 2 approved
url https://gatesopenresearch.org/articles/4-71/v2
work_keys_str_mv AT fraserilewis introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT godfreyguga introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT paschalmdoe introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT estomduma introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT cloupasmahopo introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT pascalbessong introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT stephaniearichard introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved
AT benjaminjjmccormick introducingadriftanddiffusionframeworkforchildhoodgrowthresearchversion2peerreview2approved