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 method for the description of red blood cells and other components of blood. One of the four key mechanisms governing the elastic behaviour of a red blood cell is the in-plane shear modulus of elasticity. The membrane of red blood cell is modeled with a triangular network of springs with stretching coefficient k. Physical properties of the membrane is given by the in-plane shear modulus of elasticity µ. We study the dependence of the stretching coefficients of the springs on the in-plane shear modulus. First we derive analytical results for regular two dimensional networks. For networks, or meshes, covering the surface of three dimensional objects we first define the mesh density. Then we state the hypothesis deriving the relation between µ and k and finally we verify the hypothesis by numerous simulations

Statistics for comparison of simulations and experiments of flow of blood cells

In this article we propose statistical method for comparison of simulation and real biological experiments of elastic objects moving in fluid. Our work is focused on future optimization of microfluidic devices used for capture of circulating tumor cells from blood samples. Since the design optimization using biological experiments is both time consuming and expensive, in silico experiments with a broad spectrum of complex and computationally simulations are intensely performed. Necessary verification if simulation models, hitherto mainly realised by comparision of individual cells properties must be extended to more complex simulations. We present our first results with characteristics designed for this purpose

Statistics for comparison of simulations and experiments of flow of blood cells

In this article we propose statistical method for comparison of simulation and real biological experiments of elastic objects moving in fluid. Our work is focused on future optimization of microfluidic devices used for capture of circulating tumor cells from blood samples. Since the design optimization using biological experiments is both time consuming and expensive, in silico experiments with a broad spectrum of complex and computationally simulations are intensely performed. Necessary verification if simulation models, hitherto mainly realised by comparision of individual cells properties must be extended to more complex simulations. We present our first results with characteristics designed for this purpose

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 method for the description of red blood cells and other components of blood. One of the four key mechanisms governing the elastic behaviour of a red blood cell is the in-plane shear modulus of elasticity. The membrane of red blood cell is modeled with a triangular network of springs with stretching coefficient k. Physical properties of the membrane is given by the in-plane shear modulus of elasticity µ. We study the dependence of the stretching coefficients of the springs on the in-plane shear modulus. First we derive analytical results for regular two dimensional networks. For networks, or meshes, covering the surface of three dimensional objects we first define the mesh density. Then we state the hypothesis deriving the relation between µ and k and finally we verify the hypothesis by numerous simulations