Within an ever-increasing variety of applications for memristors, adaptive electronic circuits have attracted considerable attention lately. This paper extends previously published work on memristive filter design to include the potential of composite memristive devices as damping elements in LC-based sensing circuits. The collective response of several LC contours with different memristive damping is considered. A thorough study of the circuit properties is performed in an attempt to exploit the high sensitivity of the circuit, other than address it as a typical drawback. The simulated circuits could find application in bio-inspired information processing, whereas could lead to better behavioral models for biological organisms.