Design and Analysis of Microchannel for Plasma Separation from Blood

Microchannel device is important and having great use in field of biological research. The micro channels having some advantages like reduction in the sample processing time, consumption of costly reagents and sample volumes. The current work for microchannel is based on the Zwiefach- fung bifurcation law which used to study for separation process. The microchannel based plasma separation is far better and rapid than conventional plasma separation techniques like centrifugation, filtration. Microchannel flow simulation is carried out using CFD software. The analysis is done for different type channel with combination of various sets of different shape and size of obstacles placed along the channel walls. For this analysis we used computational fluid dynamic tool known as COMSOL MULTIPHYSICS 5.0, to study different configurations on pressure and velocity drop. Also, the effect of geometry, cross sectional area are studied. While analysis different obstacles placed along the channel like rectangular, semicircle and triangular are used. The analysis is done for each shape obstacle and observation are recorded while analysis it is observed of that pressure is decreases with increase in number of obstacles.

Simulation and Analysis of Three-Dimensional Arterial Trees

For hemodynamic simulation and heat transfer analysis of blood, it is necessary to generate a three-dimensional model of arterial tree. Referring to the approach of Constrained Constructive Optimization (CCO), a new method based on bifurcation law, Poiseuilles law and mass conservation was proposed to model arterial trees directly in simulation objects. The formulas for calculating the bifurcation ratios and the way to determine the location of bifurcation point were presented in the paper. In this model, the radius of the root segment was constant, the terminal pressure was unknown and the bifurcation exponent was variable. In order to demonstrate the feasibility of this method, an arterial tree was constructed in a spherical tissue.

ON TWO-DIMENSIONAL DYNAMICAL SYSTEMS ASSOCIATED WITH MEMBRANE KINETICS UNDERLYING CARDIAC ARRHYTHMIAS

We study the orbits, stability and coexistence of orbits in the two-dimensional dynamical system introduced by Kline and Baker to model cardiac rhythmic response to periodic stimulation — as a function of (a) kinetic parameters (two amplitudes, two rate constants) and (b) stimulus period. The original paper focused mostly on the one-dimensional version of this model (one amplitude, one rate constant), whose orbits, stability properties, and bifurcations were analyzed via the theory of skew-tent (hence unimodal) maps; the principal family of orbits were so-called "n-escalators", with n a positive integer. The two-dimensional analog (motivated by experimental results) has led to the current study of continuous, piecewise smooth maps of a polygonal planar region into itself, whose dynamical behavior includes the coexistence of stable orbits. Our principal results show (1) how the amplitude parameters control which escalators can come into existence, (2) escalator bifurcation behavior as the stimulus period is lowered — leading to a "1/n bifurcation law", and (3) the existence of basins of attraction via the coexistence of three orbits (two of them stable, one unstable) at the first (largest stimulus period) bifurcation. We consider the latter result our most important, as it is conjectured to be connected with arrhythmia.