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Mathematical commentary of external excitation in bone cell population models

Simonovic, Julijana 2019. Mathematical commentary of external excitation in bone cell population models. Presented at: EMBL/EMBO Symposium- Mechanical Forces in Development, Heidelberg, Germany, 2-6 July 2019.

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Abstract

Equations of bone turnover balance between bone resorption and formation together with time changes of bone resorbing and forming cells numbers form the mathematical model of the system of ordinary differential equations (ODEs). The model comprises of the nonhomogeneous system of coupled ODEs with power-law nonlinearity terms that describe autocrine and paracrine signalling of the cell lineages inside BMU. The level of complexity depends on the number of cell lineages involved in signalling processes and the number of parameters that describe biochemical changes in mechanotransduction of the signals. This paper will introduce an external periodic signal into the equations and analysed the phenomena of forced oscillation of the cells. In which extent the model is capable to describe the process of externally driven bone remodelling inside one bone multicellular unit (BMU) or compartment (BMC) will be discussed based on the deterministic and stochastic findings. Currently known results published elsewhere from histopathological bone cell sections will be included as model parameter constraints to explore interesting phenomena of stability of process changes due to the external excitation magnitude and frequencies’ variations. The model is explored in numerous numerical (in-silico) experiments to represent the prediction strength of mathematical modelling of this particular bone cellular response to periodic load.

Item Type: Conference or Workshop Item (Speech)
Date Type: Completion
Status: Unpublished
Schools: Engineering
Subjects: Q Science > QA Mathematics
Q Science > QR Microbiology
Funders: European Union's H2020 MGA MSCA-IF-2016 under grant agreement No. 752793.
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Last Modified: 05 Feb 2020 03:16
URI: http://orca.cf.ac.uk/id/eprint/124227

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