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On the modelling of finite growth considering the mechanics of cell division
Author(s) -
Bolea Albero Antonio,
Böl Markus
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610449
Subject(s) - division (mathematics) , finite element method , process (computing) , work (physics) , mechanics , cell division , growth model , volume (thermodynamics) , stress (linguistics) , mitosis , materials science , physics , mechanical engineering , chemistry , structural engineering , mathematics , engineering , cell , biology , computer science , microbiology and biotechnology , thermodynamics , arithmetic , biochemistry , mathematical economics , linguistics , philosophy , operating system
Abstract Mitotic cells grow in volume and divide themselves into two identical cells producing at macroscopic scale a volume expansion in living bodies. Due to inhomogeneous distributions of the growth factors, growth occurs at different rates and directions. Focusing into the direction of growth, some living bodies alter their growing behaviour influenced by mechanical loads. If loads appear during the growth process, cell division is reorientated following the main direction of the elastic deformations. Therefore, new cells will be created in this direction while relaxing the stress state of the body at the same time. In this work, we present a modelling approach for growing bodies which change their growth direction depending on mechanical loads. The model is implemented into a finite element framework to be an useful tool for predicting morphological changes in growing bodies. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)