A combined process algebraic and stochastic approach to bone remodeling

P. Liò, E. Merelli, N. Paoletti, M. Viceconti

Research output: Contribution to journalArticlepeer-review


In adult life the bone is continuously being resorbed and renewed. Here we present a stochastic model of the homeostatic nature of bone remodeling, where osteoclasts perform bone resorption which is equally balanced by bone formation performed by osteoblasts. The stochastic model is embedded in a process-algebraic specification based on the Shape Calculus, which provides an effective multiscale description of the process. Our model considers increasing dimensionality from RANKL molecular signaling to osteoclast/osteoblast stochastic dynamics within a basic multicellular unit (BMU) to bone mass formation. We show that after a micro-fracture the simulated bone remodeling dynamics is timescale consistent with the biological process. Our combined methodology provides a first effective stochastic model of the bone remodeling framework which could be used to test healthy and pathological conditions.

Original languageEnglish
Pages (from-to)41-52
Number of pages12
JournalElectronic Notes in Theoretical Computer Science
Issue number1
Publication statusPublished - Oct 27 2011


  • BMU
  • bone remodeling
  • dynamics
  • process algebra in biomechanics
  • Shape Calculus

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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