Solutions for determining equibiaxial substrate strain for dynamic cell culture |
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| Authors: | Martin YM Chiang Tianle Cheng Lisa Pakstis Joy Dunkers |
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| Institution: | 1. Forschungszentrum Jülich GmbH, Institute of Energy and Climate Research, Leo-Brandt-Str. 1, D-52425 Jülich, Germany;2. Jülich Aachen Research Alliance – JARA Energy, Germany;1. Space Research Centre, Department of Physics and Astronomy, University of Leicester, University Road, Leicester LE1 7RH, UK;2. School of Engineering and Materials Science, Queen Mary, University of London, Mile End Road, London E1 4NS, UK;3. European Space Agency, ESTEC TEC-EP, Keplerlaan 1, 2201AZ Noordwijk, The Netherlands;1. College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha 410073, PR China;2. Advanced Composites Centre for Innovation and Science (ACCIS), Department of Aerospace Engineering, University of Bristol, Bristol BS8 1TR, UK;3. Beijing Aeronautical Technology Research Centre, Beijing 100076, PR China |
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| Abstract: | In this work, empirical and analytical solutions of equibiaxial strain on a flexible substrate are derived for a dynamic cell culture system. The empirical formula, which fulfills the mechanistic conditions of the culture system, is based on a regression analysis from finite element analyses for a substrate undergoing large strains (<15%). The analytical (closed-form) solution is derived from the superposition of two elastic responses induced in the equibiaxial strain culture system after applying pressure to a substrate undergoing small strains (microstrains). There is good agreement between the strain predicted from the solutions and from the direct measurement. Using material and geometric properties of the culture system, the solutions developed here are straightforward and can be used to circumvent experimental measurements or finite element analysis to establish substrate pressure–strain relationships. |
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