A Modeling Approach of Transversal Otolithic Membrane Deflections Evoked by the Linear Accelerations

Considered is the model of the transversal utricle membrane deflections evoked by the linear accelerations. The basic idea underlying this consideration is that the linear accelerations can cause both longitudinal and transversal deformations when acting along the membrane in the buckling way. The real 3 utricle membrane structure was simplified by considering its middle section and evaluating its elastic properties in space. The steady state transversal deflections along the membrane are analytically evaluated and numerically simulated using the elasticity theory. The transversal deflections are found to be more expressive and stronger as compared to the conventional longitudinal deformations. The maxima of longitudinal deformations and transversal deflections are observable in different regions of the utricle membrane. The revealed properties could be used for explanation of the transduction processes in the otolith organ. Based on the implemented modeling approach the new otolithic membrane mechanical properties are discussed and new explanations for the available experimental data are given. The otolithic membranes of utricle and sacculus are approximately orthogonal in space, what helps them decomposing the arbitrary linear accelerations into projections of the body reference systems.