A time-varying biased random walk approach to human growth

Abstract Growth and development are dominated by gene-environment interactions. Many approaches have been proposed to model growth, but most are either descriptive or describe population level phenomena. We present a random walk-based growth model capable of predicting individual height, in which th...

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Main Authors: Béla Suki, Urs Frey
Format: Article
Language:English
Published: Nature Portfolio 2017-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-017-07725-4
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author Béla Suki
Urs Frey
author_facet Béla Suki
Urs Frey
author_sort Béla Suki
collection DOAJ
description Abstract Growth and development are dominated by gene-environment interactions. Many approaches have been proposed to model growth, but most are either descriptive or describe population level phenomena. We present a random walk-based growth model capable of predicting individual height, in which the growth increments are taken from time varying distributions mimicking the bursting behaviour of observed saltatory growth. We derive analytic equations and also develop a computational model of such growth that takes into account gene-environment interactions. Using an independent prospective birth cohort study of 190 infants, we predict height at 6 years of age. In a subset of 27 subjects, we adaptively train the model to account for growth between birth and 1 year of age using a Bayesian approach. The 5-year predicted heights compare well with actual data (measured height = 0.838*predicted height + 18.3; R2 = 0.51) with an average error of 3.3%. In one patient, we also exemplify how our growth prediction model can be used for the early detection of growth deficiency and the evaluation of the effectiveness of growth hormone therapy.
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spelling doaj.art-ca9d87fe95fd4686a0218e81f22464362022-12-21T19:08:17ZengNature PortfolioScientific Reports2045-23222017-08-017111110.1038/s41598-017-07725-4A time-varying biased random walk approach to human growthBéla Suki0Urs Frey1Department of Biomedical Engineering, Boston UniversityUniversity Children’s Hospital Basel, UKBB, University of Basel, SpitalstrasseAbstract Growth and development are dominated by gene-environment interactions. Many approaches have been proposed to model growth, but most are either descriptive or describe population level phenomena. We present a random walk-based growth model capable of predicting individual height, in which the growth increments are taken from time varying distributions mimicking the bursting behaviour of observed saltatory growth. We derive analytic equations and also develop a computational model of such growth that takes into account gene-environment interactions. Using an independent prospective birth cohort study of 190 infants, we predict height at 6 years of age. In a subset of 27 subjects, we adaptively train the model to account for growth between birth and 1 year of age using a Bayesian approach. The 5-year predicted heights compare well with actual data (measured height = 0.838*predicted height + 18.3; R2 = 0.51) with an average error of 3.3%. In one patient, we also exemplify how our growth prediction model can be used for the early detection of growth deficiency and the evaluation of the effectiveness of growth hormone therapy.https://doi.org/10.1038/s41598-017-07725-4
spellingShingle Béla Suki
Urs Frey
A time-varying biased random walk approach to human growth
Scientific Reports
title A time-varying biased random walk approach to human growth
title_full A time-varying biased random walk approach to human growth
title_fullStr A time-varying biased random walk approach to human growth
title_full_unstemmed A time-varying biased random walk approach to human growth
title_short A time-varying biased random walk approach to human growth
title_sort time varying biased random walk approach to human growth
url https://doi.org/10.1038/s41598-017-07725-4
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