Thermal fluctuations of nano cantilevers for the detection of the biological particles modifications

Measuring the mechanical properties of biological particles, such as bacteria, viruses and cells, is becoming the most widespread method to monitor their metabolic changes which are at the basis of mutations or diseases. By properly coupling the bioparticles with nano resonators, constituted by simple mechanical systems like beams or disks at the nano scales, it is possible to retrieve their mode of vibrations, which represent the access key to crucial properties as the mass, the stiffness and the damping of these particles. Moving from the most recent studies in this field, which are mainly focused on the mass change detection by means of nano cantilever sensors, or present the stiffness and the modal damping measurement by exploiting optomechanical disk resonators, we present a theoretical study of the thermal vibrations of a nano cantilever, which is coupled with a particle, with the aim to disclosure more insights about the dynamical properties of this kind of biological system.