Mechanically driven accumulation of microscale material at coupled solid–fluid interfaces in biological channels

Abstract

The accumulation of microscale materials at solid-fluid interfaces in biological channels is often the initial stage of certain growth processes, which are present in some forms of atherosclerosis. The objective of this work is to develop a relatively simple model for such accumulation, which researchers can use to qualitatively guide their analyses. Specifically, the approach is to construct rate equations for the accumulation at the solid-fluid interface as a function of the intensity of the shear stress. The accumulation of material subsequently reduces the cross-sectional area of the channel until the fluid-induced shear stress at the solid-fluid interface reaches a critical value, which terminates the accumulation rate. Characteristics of the model are explored analytically and numerically.

Coronary artery plaque growth: A two‐way coupled shear stress–driven model

“…Second, low WSS has been shown to be correlated with near‐wall biochemical accumulation and stagnation, which may promote atherosclerosis. Based on similar observations, Zohdi developed a very simple ODE model to simulate WSS‐driven plaque growth . Herein, we will extend this model to enable spatial growth driven by realistic WSS values.…”

“…These studies incorporate systems biology models to account for the interaction between the prominent biochemicals and cells that lead to plaque formation and growth. In ODE models, the coupling of biological processes with hemodynamics is either ignored or done using the Poiseuille law, whereas in PDE models, the hemodynamic processes could be modeled via biological transport equations and WSS‐mediated endothelial permeability (see Avgerinos and Neofytou for a recent comprehensive review). While modeling spatiotemporal plaque evolution is favorable, PDE models are numerically challenging as they involve computationally expensive and challenging high‐Peclet‐number advection‐diffusion transport equations .…”

On the biomechanical analysis of the calories expended in a straight boxing jab

“…Finally, a further point of investigation is the correlation of body blows to accelerated atherosclerosis and general artery stenosis in ageing boxers (as well as in participants in other contact sports). The approach is to couple recent models found in [22][23][24][25], which describe the accumulation of microscale materials at solid -fluid interfaces in biological channels. This is often the initial stage of biochannel occlusive growth processes [26 -30].…”

On Necessary Pumping Pressures for Industrial Process-Driven Particle-Laden Fluid Flows

“…Finally, we mention that oftentimes the detrimental growth of channel walls (thus clogging feed lines) starts with the adhesion of particles to the surfaces. This is a complex process, which is likely to involve low fluid-induced shear stress (allowing particles stick to the walls, Zohdi [27,28], Zohdi et al [29]) and strongly coupled diffusive, chemical effects and thermal effects. The application of such computational procedures to the problems considered in this paper is under current investigation by the author.…”