We present a new theory for modeling forced indentation spectral lineshapesof biological particles, which considers non-linear Hertzian deformation due toan indenter-particle physical contact and bending deformations of curved beamsmodeling the particle structure. The bending of beams beyond the critical pointtriggers the particle dynamic transition to the collapsed state, an extremeevent leading to the catastrophic force drop as observed in the force(F)-deformation (X) spectra. The theory interprets fine features of thespectra: the slope of the FX curves and the position of force-peak signal, interms of mechanical characteristics --- the Young's moduli for Hertzian andbending deformations E_H and E_b, and the probability distribution of themaximum strength with the strength of the strongest beam F_b^* and the beams'failure rate m. The theory is applied to successfully characterize the $FX$curves for spherical virus particles --- CCMV, TrV, and AdV.
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机译：我们提出了一种新的理论来建模生物颗粒的强制压痕谱线形状，该理论考虑了由于压头-颗粒物理接触而产生的非线性赫兹变形以及对颗粒结构进行建模的弯曲梁的弯曲变形。超过临界点的光束弯曲触发粒子动态转变为塌陷状态，这是导致在力（F）-变形（X）光谱中观察到的灾难性力下降的极端事件。该理论解释了光谱的优良特征：FX曲线的斜率和力峰信号的位置，机械特性的项---赫兹和弯曲变形E_H和E_b的杨氏模量，以及最大强度随概率变化的概率分布。最强光束的强度F_b ^ *和光束的失效率m。该理论适用于成功表征球形病毒颗粒的$ FX $曲线-CCMV，TrV和AdV。
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