A fully analytical approach to investigate the electro-viscous effect of the endothelial glycocalyx layer on the microvascular blood flow

摘要

Abstract Background Recently, the glycocalyx lining the endothelial surface has emerged as a structure of fundamental importance to a wide range of phenomena that has undeniable effect on cardiovascular health and disease. With respect to the blood flow in small vessels, it has been experimentally reported that the glycocalyx layer causes additional resistance to the flow. Methods The hypothesis of glycocalyx resistance against the blood flow, considered as two-phase layer fluid through a small blood vessel, was theoretically evaluated. To do that, a very thin electric double layer (EDL) was considered and the fluid flow was modeled by the well-known Poisson and Boltzmann equations in micro-fluidics alongside the general Navier-Stokes equation. Finally, a complete analytical solution for this particular case was developed. Results The results confirmed the previous findings indicated that the negatively charged glycocalyx layer has no effect on the macro/micro scale blood flow. Here and in the nano-scale, slightly influence was observed and reported in this study. Conclusion Moreover, more details about the thin electrically significant layer, close to the EDL, would be delineate to better recognition of electro-viscous effect caused by the endothelial glycocalyx near microvascular walls. Highlights ? The glycocalyx layer causes additional resistance to the flow. ? The resistance of the glycocalyx against the blood flow via the two-phase layer fluid ? A very thin electric double layer was considered via an analytical solution. ? The negatively charged endothelial glycocalyx layer has no remarkable effect on the blood flow in the micro-vessels. ? An interesting electro-mechanical phenomenon occurred near the EDL. ]]>