Effects of time delays in a mathematical bone model

• 来源期刊: 中国物理B（英文版）
• 关键词: time delays oscillation model of bone remodeling
• 年，卷（期）: 2017,（3）
• 页码范围: 251-257
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/3/030503

摘要

In this paper we propose a mathematical model of bone remodeling with time delays of both osteoclast-derived paracrine signaling of tumor and tumor-derived paracrine signaling of osteoclast.The effects of time delays on the growth of tumor cells and bone system are studied in multiple myeloma-induced bone disease.In the case of small osteoclast-derived paracrine signaling,it is found that the growth of tumor cells slows down,the oscillation period of the ratio of osteoclasts to osteoblasts is extended with increasing time delay,and there is a competition between the delay and osteoclast-derived paracrine signaling.In the case of large tumor-derived paracrine signaling,the tumor-derived paracrine signaling can induce a more significant decline in tumor growth for long time delay,and thus slowing down the progression of bone disease.There is an optimal coupling between the tumor-derived paracrine signaling of osteoclasts and time delay during the progressions of bone diseases,which suppresses the tumor growth and the regression of bone disease.