4.3 Article

A proposed screening algorithm for bone remodelling

Journal

EUROPEAN JOURNAL OF APPLIED MATHEMATICS
Volume 32, Issue 5, Pages 806-819

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0956792520000418

Keywords

Mathematical modelling and simulation; bone remodelling; biological algorithms; cellular automata; osteocytes

Funding

  1. MINECO [MTM2017-85020-P]
  2. Instituto de Salud Carlos III (Madrid, Spain) [PI18/01757]
  3. Roechling Foundation

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The process of bone remodelling involves continuous renewal of bone at a microscopic scale to maintain mechanical compliance of the skeleton. This process can be represented at an algorithmic level as the interplay of screening and renovation mechanisms, with efficient screening achieved through simple local rules inspired by individual bone cells computing signals from their nearest local neighbours.
One of the most remarkable aspects of human homoeostasis is bone remodelling. This term denotes the continuous renewal of bone that takes place at a microscopic scale and ensures that our skeleton preserves its full mechanical compliance during our lives. We propose here that a renewal process of this type can be represented at an algorithmic level as the interplay of two different but related mechanisms. The first of them is a preliminary screening process, by means of which the whole skeleton is thoroughly and continuously explored. This is followed by a renovation process, whereby regions previously marked for renewal are first destroyed and then rebuilt, in such a way that global mechanical compliance is never compromised. In this work, we pay attention to the first of these two stages. In particular, we show that an efficient screening mechanism may arise out of simple local rules, which at the biological level are inspired by the possibility that individual bone cells compute signals from their nearest local neighbours. This is shown to be enough to put in place a process which thoroughly explores the region where such mechanism operates.

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