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Human linear growth trajectory defined
Anderson Mon1, Michael Cabana, Bonnie Halpern-Felsher
1Department of Radiology and Biomedical Imaging, University of California, San Francisco, California; NCIRE, Center for Imaging of Neurodegenerative Diseases, Veterans Administration Medical Center, San Francisco, California; Department of Biomedical Engineering, All Nations University College, Koforidua, Ghana.
Insights
A simple mathematical formula accurately predicts individual child linear growth, showing high precision across diverse demographics. This tool offers a valuable method for tracking human growth patterns.
Area of Science:
- Pediatrics
- Human Growth and Development
- Biomathematics
Background:
- Accurate prediction of individual child linear growth is crucial for monitoring development.
- Existing methods may be complex or lack precision for individual trajectories.
- A simple, precise growth prediction model is needed.
Purpose of the Study:
- To evaluate a straightforward mathematical formula for predicting individual child linear growth.
- The formula models height as a square root function of age, utilizing two constants (k and C).
Main Methods:
- Utilized retrospective serial height measurements from 137 healthy children.
- Determined formula constants (k and C) using initial measurements and time points for each child.
- Applied the formula with determined constants to predict individual growth trajectories.
Main Results:
- The study included a diverse cohort: 20% Hispanic, 23% African-American, 27% Caucasian, and 30% Asian.
- The formula successfully predicted growth trajectories for 136 out of 137 children.
- Observed minimal discrepancies between predicted and measured growth, with a mean difference of 0.8 cm.
Conclusions:
- The proposed formula is user-friendly and predicts individual child growth with high accuracy.
- Prediction accuracy is maintained irrespective of child's gender or ethnicity.
- The formula presents a valuable tool for human growth studies and potentially for other species' growth analysis.
Objectives:
The purpose of this study was to assess the applicability of a simple mathematical formula for prediction of individual child linear growth. The formula describes a square root dependence of height on age with only two constants, k and C.
Methods:
Retrospective serial height measurements of 137 healthy children (61 female), who attended clinic in the Pediatrics Department at the University of California, San Francisco were used. For each child, two of the initial measurements and their corresponding measurement times were used to determine the values of k and C. By substituting the determined values of k and C into the formula, the formula was then used to predict the trajectory of the child's growth.
Results:
The 137 children were comprised of 20% Hispanic, 23% African-American, 27% Caucasian and 30% Asian. The formula predicted growth trajectories of 136 out of the 137 children with minimal discrepancies between the measured data and the corresponding predicted data. The mean of the discrepancies was 0.8 cm.
Conclusions:
Our proposed formula is very easy to use and predicts individual child growth with high precision irrespective of gender or ethnicity. The formula will be a valuable tool for studying human growth and possibly growths of other animals.
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