One of the most important characteristics of red blood cells is their elasticity and ability to return to original biconcave shape after external forces stop acting on them. There are several conservation laws that together govern this return and one of them is the area conservation. In this paper, we focus on local area conservation and introduce a new way of modeling it using a spring network model. We take into account the current shape of the network triangles and find the proportional allocation of area conservation forces, which would for individual triangles preserve their shapes. Since the force contributions in each node are combined from all adjacent triangles, the final resulting shape might not be the same, but overall effect on the triangulations is positive in the sense that this approach tends to regularize them.
Skip Nav Destination
Article navigation
10 March 2015
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014)
22–28 September 2014
Rhodes, Greece
Research Article|
March 10 2015
A novel approach with non-uniform force allocation for area preservation in spring network models1)
Iveta Jančigová;
Iveta Jančigová
1
Cell-in-fluid Research Group, http://cell-in-fluid.fri.uniza.sk Faculty of Management Science and Informatics,
University of Žilina
Univerzitná 8215/1, 010 26 Žilina, Slovakia
Search for other works by this author on:
Ivan Cimrák
Ivan Cimrák
2
Cell-in-fluid Research Group, http://cell-in-fluid.fri.uniza.sk Faculty of Management Science and Informatics,
University of Žilina
Univerzitná 8215/1, 010 26 Žilina, Slovakia
Search for other works by this author on:
1
e-mail: [email protected]; The work of Iveta Jančigová was supported by the FVG 2014 grant of Faculty of Management Science and Informatics, University of Žilina.
2
e-mail: [email protected]; The work of Ivan Cimrák was supported by the Marie-Curie grant No. PCIG10-GA-2011-303580.
1)
This work was supported by the Slovak Research and Development Agency under the contract No. APVV-0441-11.
AIP Conf. Proc. 1648, 210004 (2015)
Citation
Iveta Jančigová, Ivan Cimrák; A novel approach with non-uniform force allocation for area preservation in spring network models. AIP Conf. Proc. 10 March 2015; 1648 (1): 210004. https://doi.org/10.1063/1.4912489
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Inkjet- and flextrail-printing of silicon polymer-based inks for local passivating contacts
Zohreh Kiaee, Andreas Lösel, et al.
Design of a 100 MW solar power plant on wetland in Bangladesh
Apu Kowsar, Sumon Chandra Debnath, et al.
Effect of coupling agent type on the self-cleaning and anti-reflective behaviour of advance nanocoating for PV panels application
Taha Tareq Mohammed, Hadia Kadhim Judran, et al.
Related Content
Local stress analysis of red blood cells in shear flow
AIP Conference Proceedings (March 2015)
A simplified model for dynamics of cell rolling and cell-surface adhesion
AIP Conference Proceedings (March 2015)
Preface of the “Symposium on modelling of biological cells, fluid flow and microfluidics”
AIP Conference Proceedings (March 2015)
Dynamics of magnetic particles in microfluidic channels
AIP Conference Proceedings (March 2015)
Simulation of circulating tumor cell transport and adhesion in cell suspensions in microfluidic devices
Biomicrofluidics (November 2019)