A Computational Approach to Individual Cell-Based Decision Algorithms Involved in Bone Remodeling

Belén Serrano-Antón, Chloë Mian, Rocío Fuente, Federica Bertocchini, Miguel A. Herrero, José M. López, Gerardo E. Oleaga () and Clemente F. Arias ()
Additional contact information
Belén Serrano-Antón: FlowReserve Labs S.L., 15782 Santiago de Compostela, Spain
Chloë Mian: Institut Fourier, 38610 Gières, France
Rocío Fuente: Área de Pediatría, Departamento de Medicina, Universidad de Oviedo, 33006 Oviedo, Spain
Federica Bertocchini: Plasticentropy S.L., 28046 Madrid, Spain
Miguel A. Herrero: Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense, 28040 Madrid, Spain
José M. López: Departamento de Morfología y Biología Celular, Universidad de Oviedo, 33006 Oviedo, Spain
Gerardo E. Oleaga: Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense, 28040 Madrid, Spain
Clemente F. Arias: Grupo Interdisciplinar de Sistemas Complejos (GISC), 28911 Leganés, Spain

Mathematics, 2024, vol. 12, issue 3, 1-12

Abstract: This work is concerned with bone remodeling, an intriguing and efficient biological process that ensures the optimal compliance of the human skeleton by screening and replacing any single piece of it on a recursive basis. We propose here that a class of algorithms, which are simple enough to be implemented at an individual cell level, suffices to account for the two main features of such homeostatic process: thorough screening of the whole skeleton on the one hand and destruction and subsequent replacement of any single bone piece on the other. This last process is accomplished at a microscopic scale by special groups of cells, assembled for that purpose, called Bone Multicellular Units (BMUs). Moreover, it is shown that the algorithms proposed are robust, i.e, they remain functional in a wide range of biomechanical environments, thus allowing for different remodeling rates at different places.

Keywords: bone remodeling; mathematical modelling; cellular automata; sclerostin (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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