A Review on Mathematical Models for Nanoparticle Delivery in the Blood

Abstract

One of the ubiquitous causes of deaths are the Cardio Vascular Diseases or CVDs. The implementation of nanotechnology in the treatment of CVDs has evinced better bio-compatibility and enhanced cell interactions. This provides a strong potential for their mathematical modeling with the diseased blood vessels. In our current study we have reported various mathematical models used for the treatment of CVDs employing nanotechnology. Mathematical modeling provides a tool to comprehend the type, shape and size of the nanoparticles that can be employed as possible drug delivery systems. Mathematical models help to predict how nano-drugs have many improvements like expanded drug loading capacity and programmable pharmo-kinetic properties over the conventional drugs. The amalgamation of mathematical models with clinical data provides for designing these optimal therapies. This review encapsulates the current state of mathematical modeling approaches to treat CVDs using nanoparticle targeted drug delivery.

Study of Nanoparticle Diffusion in Capillary-Tissue Exchange System using Jeffrey Nanofluid Model: Effects of Shapes of Nanoparticles

“…Nanoparticle based targeted drug delivery or nanodrugs aim at commuting drugs to the diseased site in effective concentrations. Nanotechnology offers promising therapeutical effects than conventional methods, considerably reducing the side effects [4]. Nanoparticles are inoculated into the patient's body by intertumoral administration.…”

Study of Effect of Different Shapes of Nanoparticles in Three-Layer Model for Blood Flow in Arterioles

“…Owing to the benefits of this pioneering technology, nanoparticles evolved, which are defined as particles with dimensions of at least one nanoscale. Researchers are working greatly toward using nanoparticles for the curing of cardiovascular diseases [9]. Nanoparticles offer a robust mechanism in therapeutics of cardiovascular diseases due to their capability of interacting with the cellular processes and influencing their functions.…”

“…Nanoparticles offer a robust mechanism in therapeutics of cardiovascular diseases due to their capability of interacting with the cellular processes and influencing their functions. Pharmaceutical nanotechnology offers sustained and controlled delivery systems [9].…”