Gating-spring stiffness increases outer-hair-cell bundle stiffness, damping, and receptor current

In our ears, outer-hair-cell bundles (OHBs) convert sound-induced forces into receptor currents that drive cochlear amplification, the process responsible for the micropascal-scale threshold and million-fold dynamic range of hearing. OHBs rely on gating springs to open mechanoelectrical-transduction (MET) ion channels, through which the receptor current flows. OHBs have larger gating-spring stiffnesses than other types of hair bundles, but we have a poor understanding of how gating-spring stiffness contributes to OHB mechanics and receptor-current regulation. Using experimentally-constrained mathematical models of the OHB, we show that the increased gating-spring stiffness in an OHB increases its stiffness and damping. The OHB's 3D morphology reduces the contribution of gating-spring stiffness to OHB stiffness, reduces the contribution of MET-channel gating to OHB stiffness and damping, but causes additional OHB damping that rises with gating-spring stiffness. Gating-spring stiffness increases the OHB's receptor current but decreases its displacement-current dynamic range. Strikingly, the OHB's 3D morphology causes its force-current dynamic range to decrease with gating-spring stiffness. Our results suggest a trade-off between threshold and dynamic range regulated by OHB gating-spring stiffness. The mathematical modeling code supporting the results is provided here. Three types of mathematical models are included, a 3D wild-type OHB model, 3D OHB models with different gating-spring stiffnesses, and identical-columns OHB models with different gating-spring stiffnesses. The code generated three data files.

Methods
Mathematical modeling code was written in Mathematica 13.3 and the data from the code was saved in mx files. The data from the mx files was exported to CSV files, which can be read using free software.