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Predicting the Role of Osteal Macrophages and Osteocytes in Bone Tissue Network Using a Mathematical Modeling

수학적 모델링을 이용한 골조직 세포 네트워크에서 Osteal Macrophage와 골세포의 역할 예측

  • Hwang, Soo-Jeong (Department of Dental Hygiene, College of Medical Science, Konyang University)
  • 황수정 (건양대학교 의과학대학 치위생학과)
  • Received : 2018.03.29
  • Accepted : 2018.04.12
  • Published : 2018.04.30

Abstract

The aim of this study was to investigate the role of osteal macrophages (osteomac) and osteocytes in bone remodeling using a mathematical model. We constructed the bone system with pre-osteoblasts, osteoclasts, osteocytes, and osteomac. Each link of the parameters and ordinary differential equations followed the Graham's model in 2013 except for the parameters of osteomac signaling and osteocytes signaling to link preosteoblasts and osteoblasts. We simulated the changes in each cell and bone volume according to the changes in the parameters of osteomac signaling and osteocytes signaling. The results showed bone volume was unstable and decreased gradually when the effectiveness of osteocytes and osteomac dropped below a certain level. When the parameters of osteomac signaling and osteocytes signaling to link preosteoblasts and osteoblasts had a value less than 1, bone volume increased with the increase in the parameter of osteomac signaling to link preosteoblasts and osteoblasts. Moreover, although the parameter of osteocytes signaling to link preosteoblasts and osteoblasts, increased in case of a small parameter of osteomac signaling, bone volulme decreased. If the parameters of osteomac signaling to link preosteoblasts and osteoblasts were over a certain level, bone volume was positively maintained, despite the parameter of osteocyte signaling to link preosteoblasts and osteoblasts. We suggested the osteomac may affect bone remodeling and may play an important role in bone cell network.

본 연구는 osteomac과 골세포가 골조직 개조과정에서 하는 역할을 조사하고자 수학적 모델링 방법을 사용하였다. 2013년에 발표된 Graham's model을 기반으로 하고 osteomac을 해당 네트워크에 추가하여 각 링크의 파라미터와 상미분방정식을 작성하였다. 컴퓨터 시뮬레이션 결과 osteomac과 골세포의 효율성이 일정 수치 이하인 경우 골조직 개조가 안정적이지 않고 감소하는 방향으로 이동하였다. 골세포의 효율성은 일정 수치 이상이 되어야 골조직 개조에도 골량이 유지되었으며 osteomac의 효율성의 수치가 증가함에 따라 골량도 함께 증가하는 것을 볼 수 있었다. Osteomac의 효율성이 골조직 개조와 골량 유지에 많은 영향을 미칠 수 있음을 제안한다.

Keywords

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