Computational Approach in Cardiac Arrhythmias to Analyse Potassium (K+) Concentration of Extracellular and Intracellular Fluids Effect in Purkinje Fibre Cell for Action Potential Repolarization Phase Generation Using Euler Integration Method. A Simulation Study

The aim of this study is to analyze synchronisation and coordination of purkinje fibre cells (PFC) with ventricular myocardium. In that particular focus on potassium
$(\mathbf{K}+)$
concentration is responsible for Action potential (AP) generation. Here this paper is based on the model of Human endocardial cell by Aslandi (ALD). The ALD model data is modified based on the experimental data of Han, describing the properties of potassium currents in human PFC. Euler integration protocol is used to analyze the human PFC model for different concentration failure conditions in the same group of 100 samples. The normal AP is -53.04 mV for normal Extracellular Potassium Concentration
$(\mathbf{K}+\mathbf{o}=5.4\mathbf{mM})$
and for different increasing levels of
$\mathbf{K}+\mathbf{o}$
in PFC like (10%=5.94mM, 25%=6.75mM, 50%=8.1mM, 100%=10.8mM) having AP as (10%= - 48.1521429mV, 25%= -36.2676717mV, 50%= -30.5840558mV, 100
^%
= -36.0935330mV). AP for different decreasing levels of
$\mathbf{k}+\mathbf{o}$
in PFC like (10%= 4.86mM, 25%=4.05mM, 50%=2.7mM, 100%=0.1mM) having (10%= -72.1777329mV, 25%= - 76.7477167mV, 50%= -77.3049273mV, 100%= -22.1758414mV). AP for different increasing level of intracellular potassium concentration
$(\mathbf{K}+\mathbf{i})$
in PFC like (10%=150.46009mM, 25
^%
=170.977375mM, 50%=155.17275mM, 100%=273.5638mM) having (10%=-72.0110289mV, 25
^%
=-75.5855409mV, 50%=-77.3125176mV, 100%=0.0001050626mV), AP for different decreasing levels of
$\mathbf{k}+\mathbf{i}$
in PFC like (10%=123.10271mM, 25
^%
=102.586425mM, 50%=88.39095mM, 100%=0.1mM) having (10%=0.0448173463mV, 25%=0.0837277623mV, 50%=0.0581266989mV, 100%= -0.500409712mV). Similarly its mean value of slow delayed rectifier current (Iks in Pico Ampere (pA)) and rapid delayed rectifier current (IKr in pA) are also varied according to different deviant conditions. Conclusion: The results of normal and abnormal concentration of
$\mathbf{K}+$
in intracellular and extracellular PFC affects the repolarization phase due to prolonged total cycle length of AP which leads to cardiac failure.