论文标题

相田胶原纤维:耦合手性和密度调制

Phase-field collagen fibrils: Coupling chirality and density modulations

论文作者

Cameron, Samuel, Kreplak, Laurent, Rutenberg, Andrew D.

论文摘要

为了描述沿胶原原纤维(D波段)与分子取向的径向扭曲场(双扭扭)之间的相互作用,我们将相位晶状体晶体(PFC)与液晶自由抗体与平衡胶原胶原纤维纤维纤维纤维结构的混合模型相结合。我们从数值上计算所得的轴向和径向结构。我们发现两个不同的纤维阶段`l'和`c',并存线,以类似Ising的临界点结尾。我们建议这些阶段之间的共存可以解释肌腱组织中已广泛报道的原纤维半径的双峰分布。施加到我们的模型原纤维的拉伸应变会使平均原纤维扭曲拉直,并使D波段调制变平。我们的PFC方法应直接应用于其他纵向调节的手性丝,例如纤维蛋白和中间丝。

To describe the interaction between longitudinal density modulations along collagen fibrils (the D-band) with the radial twist-field of molecular orientation (double-twist), we couple phase-field-crystal (PFC) with liquid-crystalline free-energies to obtain a hybrid model of equilibrium collagen fibril structure. We numerically compute the resulting axial and radial structure. We find two distinct fibrillar phases, `L' and `C', with a coexistence line that ends in an Ising-like critical point. We propose that coexistence between these phases can explain the bimodal distribution of fibril radii that has been widely reported within tendon tissues. Tensile strain applied to our model fibrils straightens the average fibrillar twist and flattens the D-band modulation. Our PFC approach should apply directly to other longitudinally-modulated chiral filaments, such as fibrin and intermediate filaments.

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