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Study and mathematical analysis of the novel fractional bone mineralization model.

Authors :
Agarwal, Ritu
Midha, Chhaya
Source :
Journal of Computational Analysis & Applications. Sep2024, Vol. 33 Issue 1, p289-310. 22p.
Publication Year :
2024

Abstract

Different biological models can be evaluated using mathematical models in both qualitative and quantitative ways. A fractional bone mineralization model involving Caputo’s fractional derivative is presented in this work. The fractional mathematical model is beneficial because of its memory carrying property. An appropriate fractional order of the derivative can be chosen that is more closely related to experimental or actual data. The dynamical system of equations for the process of bone mineralization is examined qualitatively and quantitatively in this article. A numerical simulation has been performed for the model. The model’s parameters have undergone sensitivity analysis and their effects on the model variables have been explored. By studying the mineralization patterns in bone, different diseases can be cured, and it can also be examined how the deviations from healthy mineral distributions lead to specific bone diseases. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15211398
Volume :
33
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Computational Analysis & Applications
Publication Type :
Academic Journal
Accession number :
175426165