Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor
Abstract
:1. Introduction
2. Materials and Methods
2.1. Mathematical Model of Acoustic Wave Biosensor
- 1.
- On the interfaces between two solid layers, the continuity of the displacements and the equilibrium of normal pressures must hold.
- 2.
- The electric displacement and the tangent component of the electric field must be zero on the interface between the piezoelectric substrate and the guiding layer.
- 3.
- The equilibrium of the pressures and a no-slip condition is required on the interface between the fluid and homogenized bristle structure (glycocalyx).
2.2. Computer Program for the Calculation of the Acoustic Wave Velocity
3. Results
3.1. Geometrical and Physical Characteristics of Glycocalyx
3.2. Numerical Simulations and Discussion
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Layer | Material | Density [kg/m] | Other Parameters |
---|---|---|---|
Fluid | Blood | = 1060 | Dynamic viscosity, = 0.0034 [N·s/m] |
Volume viscosity, = 0.00384 [N·s/m] | |||
Compressibility, = 3.787e-10 [1/Pa] | |||
Glycocalyx | Homogenized substance | = 1280 | Young’s modulus = 500 [Pa] |
Poisson’s ratio = 0.3 | |||
Shielding | Gold | = 19300 | Young’s modulus E = 78 [GPa] |
Poisson’s ratio = 0.44 | |||
Guiding | SiO | = 2200 | Young’s modulus E = 72 [GPa] |
Poisson’s ratio = 0.17 | |||
Substrate | -quarz | = 2650 | Stiffness tensor C [ N/m]: |
Piezoelectric tensor e [C/m]: | |||
Dielectric tensor [ F/m]: | |||
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Turova, V.; Kovtanyuk, A.; Pykhteev, O.; Sidorenko, I.; Lampe, R. Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor. Bioengineering 2022, 9, 462. https://doi.org/10.3390/bioengineering9090462
Turova V, Kovtanyuk A, Pykhteev O, Sidorenko I, Lampe R. Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor. Bioengineering. 2022; 9(9):462. https://doi.org/10.3390/bioengineering9090462
Chicago/Turabian StyleTurova, Varvara, Andrey Kovtanyuk, Oleg Pykhteev, Irina Sidorenko, and Renée Lampe. 2022. "Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor" Bioengineering 9, no. 9: 462. https://doi.org/10.3390/bioengineering9090462