Numerical comparison of biofilm growth models using prominent modeling approaches
Proceedings in Applied Mathematics & Mechanics(2023)
Abstract
Abstract To make implants, especially oral implants, safer and more durable in patients bodies, in silico models proof to be a useful tool to investigate the growth behavior of harmful biofilms causing implant loss. In literature, most growth models fall into one of two categories: either the growth is calculated volumetricly or by adjusting the density of the growing biological body. The volumetric models perform a kinematic split F = F e F g in which the growth part of the deformation tensor is a direct function of the nutrient concentration F g = F g ( c ). The density based models, on the other hand, develop the density variable φ via an evolution equation. To make existing models more accurate and increase the predictability of those models, a combination of the existing growth models is presented. The model combines the volumetric growth model implemented by a kinematic split of the deformation tensor as a function of a growth parameter F g (α). The numerical example presented here shows sensible growing behaviour. The combined model thus makes a very promising approach in simulating growth more accurately.
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Key words
biofilm growth models
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