The level of physical stress rules the adaptative response of peripheral nerves, which is crucial to assess their physiological and pathological states. To this aim, in this work, a hybrid computational approach was presented to model the stress response of in vitro peripheral nerves undergoing longitudinal stretch. In addition, the rate of change of stiffness with strain was investigated and quantified through the secant modulus in order to achieve a quantitative framework, providing crucial information for both physical rehabilitation and biomaterial science