Low-density lipoprotein transport through an arterial wall under hyperthermia and hypertension conditions – An analytical solution

Peristaltic Transport with Viscous Dissipation Effect in a Multi-stenosed Artery

“…[38] investigated the role of plaque removal on blood flow in a popliteal artery using experimental and numerical approaches, and observed that the removal of plaque increases the blood flow rate through the artery; there is a major reduction of pressure loss through the lesion. Even so, [39] studied analytically the transport of Low-Density Lipoprotein through an arterial wall under hyperthermia conditions using a four-layer model, and had results that are in excellent agreement with existing numerical and analytical literature data under isothermal conditions. [40] considered blood flow through arteries under atherectomy situation using an unsteady computational fluid dynamic solver, and found that the atherectomy procedure tends to increase the flow through the stenotic zone.…”

Multiscale Boundary Conditions for Non-Fickian Diffusion Applied to Drug-Eluting Stents

“…In this work, we consider as regions of interest the intima with the presence of a soft lipid plaque and the media, separated by the internal elastic lamina (IEL). For brief reviews on the modeling of LDL accumulation on the arterial wall, we refer the reader to [20,21]. Figure 3 shows a truncated portion of a stented coronary artery.…”

“…Assuming that most of the drug delivery occurs in the direction normal to the stent coating, we can calculate an analytical solution for a one-dimensional diffusion problem in the coating and obtain a Robyn boundary condition to approximate the problem (2), (8) with interface conditions (21) and (22). In this way, we significantly reduce the computational cost of modeling the drug delivery process over realistic three-dimensional stent geometries, as will be shown in section 8.…”

Transcutaneous Recharge: A Comparison of Numerical Simulation to In Vivo Experiments

“…For instance, Refs. ( and ) have used increased local tissue temperatures to carefully account for the influence of temperature on mass transport processes within arterial geometries such as the artery wall. Multiple studies have used modeling to account for and select materials and therapy protocols for tissue impregnated with nanomaterials that are then heated for cancer treatment (e.g., Ref.…”