Non‐uniform force allocation for area preservation in spring network models

@article{Janigov2016NonuniformFA,
  title={Non‐uniform force allocation for area preservation in spring network models},
  author={Iveta Jan{\vc}igov{\'a} and Ivan Cimr{\'a}k},
  journal={International Journal for Numerical Methods in Biomedical Engineering},
  year={2016},
  volume={32},
  pages={n/a}
}
  • I. Jančigová, I. Cimrák
  • Published 4 February 2016
  • Mathematics, Engineering
  • International Journal for Numerical Methods in Biomedical Engineering
In modeling of elastic objects in a flow such as red blood cells, white blood cells, or tumor cells, several elastic moduli are involved. One of them is the area conservation modulus. In this paper, we focus on spring network models, and we introduce a new way of modeling the area preservation modulus. We take into account the current shape of the individual triangles and find the proportional allocation of area conservation forces, which would for individual triangles preserve their shapes… 
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References

SHOWING 1-10 OF 27 REFERENCES
Calibration of elastic coefficients for spring-network model of red blood cell
Spring network models are a useful tool when modeling elastic objects, such as red blood cells flowing in fluid, because the elastic moduli can be effectively modeled by springs or spring-like bonds
ON ELASTICITY OF SPRING NETWORK MODELS USED IN BLOOD FLOW SIMULATIONS IN ESPRESSO
For the proper simulation of processes inside microfluidic devices, proper model for blood flow must be used. We use the lattice-Boltzmann method for the blood plasma flow and the immersed boundary
Scalability of forces in mesh-based models of elastic objects
TLDR
This work discusses which elastic forces in this model are scalable, which are not and demonstrates that mesh differences and characteristics of simulation experiments have to be taken into account when calibrating elastic coefficients.
Energy contributions of different elastic moduli in mesh-based modeling of deformable objects
TLDR
A mesh-based model of elastic objects that can be used in blood flow applications and a new approach to evaluation of energy contributions that correspond to different types of elastic forces in this model are presented.
Guaranteed-quality mesh generation for curved surfaces
  • L. Chew
  • Computer Science
    SCG '93
  • 1993
TLDR
This paper presents a technique for creating high-quality triangular meshes for regions on curved surfaces, an extension of previous methods developed for regions in the plane.
Modeling the flow of dense suspensions of deformable particles in three dimensions.
TLDR
The model is highly scalable and efficient compared to other models of blood cells in flow, making it an ideal and unique tool for studying blood flow in microvessels or vesicle or capsule flow (or a mixture of different particles).
Investigation of membrane mechanics using spring networks: application to red-blood-cell modelling.
  • Mingzhu Chen, F. Boyle
  • Engineering
    Materials science & engineering. C, Materials for biological applications
  • 2014
Analysis of Initial Cell Spreading Using Mechanistic Contact Formulations for a Deformable Cell Model
TLDR
The presented model suggests that the initial slope of the spreading curve with time results from a purely geometrical effect facilitated mainly by dissipation upon contact, and the spreading rate decreases due to increasing tension and dissipation in the cell's cortex as the cell spreads more and more.
Surface mesh quality evaluation
This paper proposes a method to evaluate the size quality as well as the shape quality of constrained surface meshes, the constraint being either a given metric or the geometric metric associated
Modeling and Simulation of Capsules and Biological Cells
TLDR
This book features a collection of chapters contributed by acknowledged leaders in the field who explore topics related to the modeling and numerical simulation of capsule fluid dynamics and cell biomechanics.
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