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Derivation and Development of a Mathematical Model for Long Bone Growth
Conference proceeding

Derivation and Development of a Mathematical Model for Long Bone Growth

Suneil R. Seetharam, Sujata K. Bhatia and IEEE
2012 38TH ANNUAL NORTHEAST BIOENGINEERING CONFERENCE (NEBEC), pp 329-330
01 Jan 2012

Abstract

Engineering Engineering, Biomedical Engineering, Electrical & Electronic Science & Technology Technology
The objective of this work is to derive and develop a mathematical model that can be used to better understand long bone growth, specifically in the tibia. A cell balance was performed on the three regions of the growth plate, in order to determine the variables (number of proliferating cells and cell division rate of the proliferating cells) that influence the tibia growth rate as well as their relationship to the growth rate. Once this relationship was established, previously collected data were used to understand how the tibia growth rate and number of proliferating cells changes with time. These equations were then inserted into the model in order to determine how the cell division rate changes with time. Using these three equations, this model can be applied to determine how limb asymmetry occurs along with how various factors, including vitamins and hormones, can affect the tibia bone growth rate.

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2 citations in Scopus

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Web of Science research areas
Engineering, Biomedical
Engineering, Electrical & Electronic
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