<p>Memristor sparks interest in neuromorphic and bioinspired systems owing to its dynamic conductance, which resembles chemical synapse. However, the conductivity of a memristor depends strongly on the amount and direction of the flowing charge through it, and it is primarily due to its intrinsic asymmetry. This phenomenon becomes disadvantageous and a massive hindrance to consider memristors in some biomimetic networks, such as memristive grid networks, where sensitivity of direction is important. This drawback can be avoided by using memristor fuse which is formed by connecting two identical memristors anti-serially. To effectively compare the polarity reversal effect of these circuit elements, a network of 2 RC cells in the form of passive neurons coupled by a memristor and then a memristor fuse is considered, thereby allowing to observe and compare the interaction of these circuit elements bidirectionally. The system is studied analytically and the result is visualized in the phase plane. The comparison is done by observing the evolution patterns of the trajectories with respect to the direction of flow of the charge through these circuit elements. In terms of functionality as demonstrated in this paper, the memristor fuse shows a promising symmetry with respect to the quantity and direction of the flowing charge through it.</p>