Proposed spring network cell model based on a minimum energy concept

Annals of Biomedical Engineering
Yoshihiro UjiharaShigeo Wada

Abstract

We developed a mechano-cell model incorporating a cell membrane, a nuclear envelope, and actin filaments to simulate the mechanical behavior of a cell during tensile tests. The computational model depicts a cell as a combination of various spring elements in the framework of the minimum energy concept. A cell membrane and a nuclear envelope are both modeled as shells of a spring network that express elastic resistance to changes in bending, stretching, and surface area. A bundle of actin filaments is represented by a mechanical spring that generates a force as a function of its extension. The interaction between the nuclear envelope and the cell membrane is expressed by a potential energy function with respect to the distance between them. Incompressibility of a cell is assured by a volume elastic energy function. The cell shape during a tensile test is determined by a quasi-static approach, such that the total elastic energy converges to the minimum. The load-deformation curve obtained from the simulation shows a significant increase in stretching load with deformation of the cell and lies within a range of experimentally obtained load-deformation curves. The total elastic energy is dominated by the energy stored in the actin ...Continue Reading

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Citations

Jul 19, 2011·Neural Networks : the Official Journal of the International Neural Network Society·Seigo NonakaShin Ishii
Dec 24, 2014·International Journal for Numerical Methods in Biomedical Engineering·Seetha PothapragadaDanny Bluestein
Apr 25, 2013·IEEE Transactions on Bio-medical Engineering·Hamid LadjalAntoine Ferreira
Oct 3, 2012·Journal of the Mechanical Behavior of Biomedical Materials·Yoshihiro UjiharaShigeo Wada
Aug 11, 2016·Biophysical Journal·Hiroshi KoyamaToshihiko Fujimori
Nov 18, 2015·International Journal for Numerical Methods in Biomedical Engineering·Iveta Jančigová, Ivan Cimrák
Apr 8, 2020·Journal of Biomechanical Engineering·Wonyeong JungTaeyoon Kim
Feb 23, 2017·Biomechanics and Modeling in Mechanobiology·M Vassaux, J L Milan
May 14, 2016·Physical Review. E·Yuqiang Fang, King W C Lai
Jul 22, 2018·Journal of Biomechanical Engineering·Yogesh Deepak BansodJiri Bursa
Mar 9, 2021·BioMed Research International·Veera Venkata Satya Varaprasad Jakka, Jiri Bursa
Mar 26, 2021·Biomechanics and Modeling in Mechanobiology·Daniel F PuleriAmanda Randles
Dec 12, 2020·Wiley Interdisciplinary Reviews. Systems Biology and Medicine·Kathleen T DiNapoliPablo A Iglesias
Jul 24, 2021·Cellular and Molecular Bioengineering·Yoshihiro UjiharaMasanori Nakamura

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