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Mathematical modelling of bone remodelling cycles including the NF?B signalling pathway

Ji, Bing; Zhang, Yao; Zhen, Changqing; Fagan, Michael J.; Yang, Qing


Bing Ji

Yao Zhang

Changqing Zhen

Michael J. Fagan

Qing Yang


RANKL can promote the differentiation of osteoclast precursors into mature osteoclasts by binding to RANK expressed on the surfaces of osteoclast progenitor cells during bone remodelling. The NF-?B signalling pathway is downstream of RANKL and transmits the RANKL signal to nuclear promoter-bound protein complexes from cell surface receptors, which then regulates target gene expression to facilitate osteoclastogenesis. However, this important role of the NF-?B signalling pathway is usually ignored in published mathematical models of bone remodelling. This paper describes the construction of a mathematical model of bone remodelling in a normal bone microenvironment with inclusion of the NF-?B signalling pathway. The model consisted of a set of ordinary differential equations and reconstructed variations in the bone cells, resultant bone volume, and biochemical factors involved in the NF-?B signalling pathway over time. The model was used to investigate how the NF-?B pathway is activated in osteoclast precursors to promote osteoclastogenesis during bone remodelling. Model simulations agreed well with published experimental data. It is hoped that this model can improve our understanding of bone remodelling. It has the obvious potential to examine the influence of NF-?B dysregulation on bone remodelling, and even propose potential therapeutic strategies to combat related bone diseases in future research.


Ji, B., Zhang, Y., Zhen, C., Fagan, M. J., & Yang, Q. (2019). Mathematical modelling of bone remodelling cycles including the NF?B signalling pathway. Computers in biology and medicine, 107, 257-264.

Journal Article Type Article
Acceptance Date Mar 4, 2019
Online Publication Date Mar 8, 2019
Publication Date Apr 1, 2019
Deposit Date Mar 22, 2019
Publicly Available Date Mar 9, 2020
Journal Computers in Biology and Medicine
Print ISSN 0010-4825
Electronic ISSN 1879-0534
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 107
Pages 257-264
Keywords Health Informatics; Computer Science Applications
Public URL
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