Phase diagrams of bone remodeling using a 3D stochastic cellular automaton

PLoS One. 2024 Jun 11;19(6):e0304694. doi: 10.1371/journal.pone.0304694. eCollection 2024.

Abstract

We propose a 3D stochastic cellular automaton model, governed by evolutionary game theory, to simulate bone remodeling dynamics. The model includes four voxel states: Formation, Quiescence, Resorption, and Environment. We simulate the Resorption and Formation processes on separate time scales to explore the parameter space and derive a phase diagram that illustrates the sensitivity of these processes to parameter changes. Combining these results, we simulate a full bone remodeling cycle. Furthermore, we show the importance of modeling small neighborhoods for studying local bone microenvironment controls. This model can guide experimental design and, in combination with other models, it could assist to further explore external impacts on bone remodeling. Consequently, this model contributes to an improved understanding of complex dynamics in bone remodeling dynamics and exploring alterations due to disease or drug treatment.

MeSH terms

  • Bone Remodeling* / physiology
  • Bone Resorption
  • Computer Simulation
  • Humans
  • Models, Biological
  • Stochastic Processes*

Grants and funding

A. Heller thanks the International Max Planck Research School (IMPRS) on Multiscale Bio-Systems for financial support. A. Cipitria acknowledges the funding by the Deutsche Forschungsgemeinschaft (DFG) Emmy Noether Grant CI 203/2-1 and the IKERBASQUE Basque Foundation for Science. We thank open access funding provided by the Max Planck Society. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.