# Time dependent dispersion of nanoparticles in blood vessels

@article{Gentile2010TimeDD, title={Time dependent dispersion of nanoparticles in blood vessels}, author={Francesco Gentile and Paolo Decuzzi}, journal={Journal of Biomedical Science and Engineering}, year={2010}, volume={03}, pages={517-524} }

The dispersion of intravasculary injected nanoparticles can be efficiently described by introducing an effective diffusion coefficient Deff which quantifies the longitudinal mass transport in blood vessels. Here, the original work of Gill and Sankarasubramanian was modified and extended to include 1) the variati- on over time of Deff; 2) the permeability of the blood vessels and 3) non-Newtonian rheology of blood. A general solution was provided for Deff depending on space (?), time (?), plug…

## Figures and Tables from this paper

## 13 Citations

Study of Transport of Nanoparticles with KL Model Through a Stenosed Microvessels

- Engineering, Biology
- 2018

The effective longitudinal diffusion of nanoparticles has been studied in stenosed blood vessel considering the contribution of molecular and convective diffusion based on Taylor's theory and it has been shown that for a given values of rheological parameter, stenosis height and plasma viscosity, fluid velocity is maximum at the central axis and flow rate is minimum at the axis of symmetry.

Dispersion Characteristics of non-Newtonian fluid during transportation of nanoparticles in permeable capillary

- Engineering
- 2016

The present analysis deals with the dispersion characteristics of blood described as HerschelBulkley fluid in capillary with permeable walls for fluid and impermeable for the nanoparticles. The…

Study of Transport of Nanoparticles with Power Law fluid Model for Blood Rheology in Capillaries

- Engineering, Biology
- 2016

The capillary walls are impermeable and not absorbent for the nanoparticles and the expressions for velocity profile, flow rate, mean velocity and concentration of the solute have been obtained and results have been discussed through graphs.

Characterization of Nanoparticle Dispersion in Red Blood Cell Suspension by the Lattice Boltzmann-Immersed Boundary Method

- EngineeringNanomaterials
- 2016

A numerical study on NP transport and dispersion in red blood cell suspensions under shear and channel flow conditions, utilizing an immersed boundary fluid-structure interaction model with a lattice Boltzmann fluid solver, an elastic cell membrane model and a particle motion model driven by both hydrodynamic loading and Brownian dynamics is presented.

Elucidating the rheological implications of adding particles in blood

- EngineeringRheologica Acta
- 2021

A continuum model for elaborating on the rheological implications of adding particles in blood is introduced using non-equilibrium thermodynamics to guarantee thermodynamic admissibility and is expected that the use of this model will allow for the testing of DCPs in virtual patients and for their tailor-design in treating various diseases.

Dispersion with wall absorption in non-Newtonian fluid flow subjected to external body acceleration

- Physics, Engineering
- 2021

The basic motive of this model is to understand the dispersion process of a solute in non-Newtonian fluid flow subjected to external body acceleration when taking into account the solute absorption…

Effects of non-newtonian properties of blood flow on magnetic nanoparticle targeted drug delivery

- Biology, Physics
- 2017

It is preferred in the simulation to model blood flow as a non-Newtonian fluid and uses one of Herschel- Bulkley or Power-law models, otherwise the simulation is far different from real phenomena.

EXACT ANALYSIS OF UNSTEADY CONVECTIVE DIFFUSION FOR BLOOD FLOW WITH INTERPHASE MASS TRANSFER IN MAGNETIC FIELD

- Physics, Engineering
- 2015

Abstract This paper deals with a mathematical model for exact analysis of miscible dispersion of solute with interphase mass transfer in a blood(couple stress fluid) flow bounded by porous beds under…

Mathematical analysis for unsteady dispersion of solute with chemical reaction in blood flow

- Physics, Engineering
- 2016

The effect of chemical reaction on the unsteady dispersion of solute in blood flow through a pipe and a channel between two parallel plates is analyzed mathematically, treating the blood as Casson…

Mathematical Modelling on an Electrically Conducting Fluid Flow in an Inclined Permeable Tube with Multiple Stenoses

- Physics, EngineeringInternational Journal of Innovative Technology and Exploring Engineering
- 2019

The effect of electrically conducting fluid flow in an inclined tube with permeable walls and having multiple stenosis through porous medium was studied. The Homotopy Perturbation Method is used to…

## References

SHOWING 1-10 OF 15 REFERENCES

The Transport of Nanoparticles in Blood Vessels: The Effect of Vessel Permeability and Blood Rheology

- BiologyAnnals of Biomedical Engineering
- 2007

Both the rheology of blood and the permeability of the vessels may constitute a physiological barrier to the intravascular delivery of nanoparticles.

The Effective Dispersion of Nanovectors Within the Tumor Microvasculature

- PhysicsAnnals of Biomedical Engineering
- 2005

It has been shown that the blood conduits with the largest effective longitudinal diffusivity could be preferentially targeted by the circulating vectors and it has been emphasized that the size of the vector should be selected depending on the body district where the tumoral mass is developing and on the type, malignancy, and state of the tumor.

Design of bio-mimetic particles with enhanced vascular interaction.

- PhysicsJournal of biomechanics
- 2009

Dispersion of soluble matter in solvent flowing slowly through a tube

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1953

When a soluble substance is introduced into a fluid flowing slowly through a small-bore tube it spreads out under the combined action of molecular diffusion and the variation of velocity over the…

Shear-augmented dispersion in non-Newtonian fluids

- PhysicsAnnals of Biomedical Engineering
- 2006

Under similar conditions in Casson and power law fluids, both simplified models for blood, and in Bingham fluids the same proportionalities are found, although the proportionality factor is dependent upon the specific rheology of the fluid.

Shear Augmented Dispersion of a Solute in a Casson Fluid Flowing in a Conduit

- PhysicsAnnals of Biomedical Engineering
- 2004

The model brings out mainly the effect of yield stress, or equivalently, the plug flow region in the conduit on the overall dispersion process, and can be used as a starting first approximate solution for studying the dispersion in the cardiovascular system or blood oxygenators.

Effect of Boundary Absorption in Dispersion in Casson Fluid Flow in a Tube

- PhysicsAnnals of Biomedical Engineering
- 2004

The study describes the development of dispersive transport following the injection of a tracer in terms of the three effective transport coefficients, viz., exchange, convection, and dispersion coefficients, and sees that the asymptotic dispersion coefficient decreases with increase in wall absorption parameter and yield stress of the fluid.

On the dispersion of a solute in a fluid flowing through a tube

- MathematicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1956

Sir Geoffrey Taylor has recently discussed the dispersion of a solute under the simultaneous action of molecular diffusion and variation of the velocity of the solvent. A new basis for his analysis…

Flow chamber analysis of size effects in the adhesion of spherical particles

- EngineeringInternational journal of nanomedicine
- 2007

The non-specific adhesion of spherical micro- and nano-particles to a cell substrate is investigated in a parallel plate flow chamber and the following hypothesis are generated: use the smallest possible particles in biomedical imaging and use the largest Possible particles in drug delivery.