In simulation of I-V response using analytical equations Eq 2 and Eq 3 in comparison to numerical integration Eq 1, the same parameters were adopted i.e. coupling strength (Γ), energy offset (εo) and the bias voltage (V) window. Plotting I-V data provides an overview of the general appearance of the I-V curves and how the shape of the curves differ from each other at different transport parameters using the above three tunneling equations.