An unsteady analysis of arterial drug transport from half-embedded drug-eluting stent

Mandal, Arunava; Sarifuddin,; Mandal, Prashanta Kumar

doi:10.1016/j.amc.2015.06.033

Cited by 18 publications

(12 citation statements)

References 28 publications

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“…One interesting feature may be noted that the concentration profiles reveal asymmetric distribution between regions distal and proximal to the plaque due to the convective nature of drug transport as well as varying thickness and roughness of the domains. Simulations predicted that recirculation regions create pockets of stagnant drugladen blood that allow more drug accumulation at lumen-tissue interfaces, and eventually more uptake of drug from the luminal side into the arterial tissue [32]. All these findings are in conformity with the spatiotemporal patterns of drug concentration as depicted in Figure 8(a-c).…”

Section: Velocity Contour Wall Shear Stress and Streamlinessupporting

confidence: 71%

“…Here, δx and δy are the dimensions of the pixels. The discretized versions of the governing equations are not given here, for the sake of brevity, however, the interested readers may be referred to [32]. The discretized equation for calculating pressure-field as obtained from the discretized momentum and continuity equations is solved by Successive-over-Relaxation(SOR) method ehere the value of over-relaxation parameter is 1.2.…”

Section: The Mac Methodologymentioning

confidence: 99%

“…If the divergence does not satisfy the tolerance limit, then the pressure and velocity components are corrected. The discretized versions of the governing equations are not given here, for the sake of brevity, however, the interested readers may be referred to [32]. The computational code has successfully been programmed in FORTRAN language.…”

Section: The Mac Methodologymentioning

confidence: 99%

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Arterial pharmacokinetics in a patient-specific atherosclerotic artery-a simulation study

Biswas

Sarifuddin

Mandal

2021

GANIT: J. Bangladesh Math. Soc.

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Of concern in the paper is a numerical study of endovascular drug delivery in a patient-specific atherosclerotic artery through a mathematical model in which the luminal flow is governed by an incompressible vis- cous Newtonian fluid, and the transport of luminal as well as tissue concentration is modeled as an unsteady convection-diffusion process. An image processing technique has been successfully adopted to detect the edges of the computational domain extracted from an asymmetric (about the centerline of the artery) patient-specific atherosclerotic artery. Considering each pixel as a control volume, the Marker and Cell (MAC) method has been leveraged to get a quantitative insight of the model considered by exploiting physiologically realistic initial, boundary as well as interface conditions. Simulated results reveal that the number as well as the length of separation zone does increase with increasing Re, and the near-wall velocity contour might be important for estimating the near-wall residence time for the pool of drug molecules available for tissue uptake. Results also show that the more the tissue porosity and interface roughness do not necessarily imply the more the effective- ness of delivery, even though they enhance the averaged concentration in the tissue domains, and also the area under concentration diminishes with increasing Peclet number. Thus, the tissue porosity, the Peclet number and various geometrical shapes (interface roughness) play a pivotal role in the dispersion and the effectiveness of drug delivery. GANITJ. Bangladesh Math. Soc.41.1 (2021) 62-77

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Section: Velocity Contour Wall Shear Stress and Streamlinessupporting

confidence: 71%

Section: The Mac Methodologymentioning

confidence: 99%

Section: The Mac Methodologymentioning

confidence: 99%

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Arterial pharmacokinetics in a patient-specific atherosclerotic artery-a simulation study

Biswas

Sarifuddin

Mandal

2021

GANIT: J. Bangladesh Math. Soc.

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“…Once detected as such, there are a number of interventional ways (invasive, non-invasive or minimally invasive) to alleviate plaque in an artery. The first such invasive procedure was coronary artery bypass graft (CABG) surgery, followed by minimally invasive procedures like the implantation of bare-metal stent (BMS) and drug-eluting stent (DES) [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Despite this, CABG is a procedure still used today as not every patient is eligible for minimally invasive surgery such as percutaneous transluminal coronary angioplasty (PTCA) due to highly tortuous or extensively blocked arteries.…”

Section: Introductionmentioning

confidence: 99%

An unsteady analysis of two-phase binding of drug in an asymmetric stenosed vessel

Biswas¹,

Sarifuddin²,

Mandal³

2021

Biomed. Phys. Eng. Express

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In this paper, we investigate endovascular delivery to get a step ahead of the pharmacological limitations it has due to the complexity of dealing with a patient-specific vessel through a mathematical model. We divide the domain of computation into four sub-domains: the lumen, the lumen-tissue interface, the upper tissue and the lower tissue which are extracted from an asymmetric atherosclerotic image derived by the intravascular ultrasound (IVUS) technique. The injected drug at the luminal inlet is transported with the streaming blood which is considered Newtonian. An irreversible uptake kinetics of the injected drug at the lumen-tissue interface from the luminal side to the tissue domains is assumed. Subsequently, the drug is dispersed within the tissue followed by its retention in the extracellular matrix (ECM) and by receptor-mediated binding. The Marker and Cell (MAC) method has been leveraged to get a quantitative insight into the model considered. The effect of the wall absorption parameter on the concentration of all drug forms (free as well as two-phase bound) has been thoroughly investigated, and some other important factors, such as the averaged concentration, the tissue content, the fractional effect, the concentration variance and the effectiveness of drug have been graphically analyzed to gain a clear understanding of endovascular delivery. The simulated results predict that with increasing values of the absorption parameter, the averaged concentrations of all drug forms do decrease. An early saturation of binding sites takes place for smaller values of the absorption parameter, and also rapid saturation of ECM binding sites occurs as compared to receptor binding sites. Results also predict the influence of surface roughness as well as asymmetry of the domain about the centerline on the distribution and retention of drug. A thorough sensitivity analysis has been carried out to determine the influence of some parameters involved.

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“…One-dimensional models represent a mathematical idealization of the three-dimensional stent geometry; nevertheless, they dominate the theoretical literature on the subject because the drug release is predominately along the normal direction to the stent axis whose dimension (the stent thickness) is much smaller then the lateral dimension (the stent radius). More complex one-dimensional models give weight to other phenomena and factors such as chemical reactions between the drug and the arterial wall [7][8][9][10][11][12][13][14][15], directed advection of the drug [7][8][9][12][13][14][15][16][17][18][19][20][21], cell metabolism [16,19], and the drug topcoat membrane permeability [6,12,14,22,23]. These phenomena and factors amend the partial differential equations (PDEs) that describe the transport of the drug.…”

Section: Introductionmentioning

confidence: 99%

Application of underdamped Langevin dynamics simulations for the study of diffusion from a drug-eluting stent

Regev¹,

Farago²

2018

Physica A: Statistical Mechanics and its Applications

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We use a one-dimensional two layer model with a semi-permeable membrane to study the diffusion of a therapeutic drug delivered from a drug-eluting stent (DES). The rate of drug transfer from the stent coating to the arterial wall is calculated by using underdamped Langevin dynamics simulations. Our results reveal that the membrane has virtually no delay effect on the rate of delivery from the DES. The work demonstrates the great potential of underdamped Langevin dynamics simulations as an easy to implement, efficient, method for solving complicated diffusion problems in systems with a spatially-dependent diffusion coefficient.

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An unsteady analysis of arterial drug transport from half-embedded drug-eluting stent

Cited by 18 publications

References 28 publications

Arterial pharmacokinetics in a patient-specific atherosclerotic artery-a simulation study

Arterial pharmacokinetics in a patient-specific atherosclerotic artery-a simulation study

An unsteady analysis of two-phase binding of drug in an asymmetric stenosed vessel

Application of underdamped Langevin dynamics simulations for the study of diffusion from a drug-eluting stent

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