The effect of viscous force on the prediction of muscle contractility in biohybrid cantilever-based experiments

The biohybrid cantilevers have been recently reported for high-throughput measurement of muscle contractility. In previous works, mechanical models were used to predict the contractile stress from the cantilever bending curvature. To derive those models, the cantilever bending process was considered as quasi-static and the viscous force was neglected. To ascertain the effect of the viscous force on the prediction of the muscle contractility in biohybrid cantilever-based experiments, we extend the modified Stoney's equation to a dynamic model that takes into account both the viscous force and the inertia force. Parametric studies show that, because the viscous force hinders the movement of the cantilever, use of static models result in a system error between the calculated and true contractile stresses. When using static models, the diastolic stress will be over-estimated while the peak systolic stress will be under-estimated. The present work suggests that dynamic models can be used in biohybrid cantilever assays to calculate the muscle contractility with higher accuracy, or can be used to optimize the experimental parameters such that the error due to the use of static models is minimized.