title: The influence of hydrostatic pressure on tissue engineered bone development.
abstract: The hydrostatic pressure stimulation of an appropriately cell-seeded porous scaffold within a bioreactor is a promising method for engineering bone tissue external to the body. We propose a mathematical model, and employ a suite of candidate constitutive laws, to qualitatively describe the effect of applied hydrostatic pressure on the quantity of minerals deposited in such an experimental setup. By comparing data from numerical simulations with experimental observations under a number of stimulation protocols, we suggest that the response of bone cells to an applied pressure requires consideration of two components; (i) a component describing the cell memory of the applied stimulation, and (ii) a recovery component, capturing the time cells require to recover from high rates of mineralisation.
authors.affiliation: Department of Mathematics, University of Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany; Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD, UK. Electronic address: knessler@mathematik.uni-kl.de.
authors.forename: K H L
authors.initials: KHL
authors.lastname: Neßler
authors.affiliation: Institute of Ageing and Chronic Disease, University of Liverpool, Apex Building, West Derby Street, Liverpool L7 8TX, UK; Institute for Science & Technology in Medicine, Keele University, Guy Hilton Research Centre, Thornburrow Drive, Hartshill, Stoke-on-Trent ST4 7QB, UK. Electronic address: j.r.henstock@liverpool.ac.uk.
authors.forename: J R
authors.initials: JR
authors.lastname: Henstock
authors.affiliation: Institute for Science & Technology in Medicine, Keele University, Guy Hilton Research Centre, Thornburrow Drive, Hartshill, Stoke-on-Trent ST4 7QB, UK. Electronic address: a.j.el.haj@keele.ac.uk.
authors.forename: A J
authors.initials: AJ
authors.lastname: El Haj
authors.affiliation: Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK. Electronic address: waters@maths.ox.ac.uk.
authors.forename: S L
authors.initials: SL
authors.lastname: Waters
authors.affiliation: Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD, UK. Electronic address: jonathan.whiteley@cs.ox.ac.uk.
authors.forename: J P
authors.initials: JP
authors.lastname: Whiteley
authors.affiliation: Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD, UK; School of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010, Australia. Electronic address: jmosborne@unimelb.edu.au.
authors.forename: J M
authors.initials: JM
authors.lastname: Osborne
mesh_terms: D001846:Bone Development; D002113:Calcification, Physiologic; D003198:Computer Simulation; D006874:Hydrostatic Pressure; D008903:Minerals / Q000378:metabolism; D008954:Models, Biological; D023822:Tissue Engineering / Q000379:methods*
chemical_list: D008903:Minerals
keywords: Biomechanical response; Modelling; Ordinary differential equation; Tissue engineering