Mineral and cross-linking in collagen fibrils: The mechanical behavior of bone tissue at the nano-scale

Julia Kamml, Claire Acevedo, David Kammer
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Abstract

The mineralized collagen fibril is the main building block of hard tissues and it directly affects the macroscopic mechanics of biological tissues such as bone. The mechanical behavior of the fibril itself is determined by its structure: the content of collagen molecules, minerals, and cross-links, and the mechanical interactions and properties of these components. Advanced-Glycation-Endproducts (AGEs) cross-linking between tropocollagen molecules within the collagen fibril is one important factor that is believed to have a major influence on the tissue. For instance, it has been shown that brittleness in bone correlates with increased AGEs densities. However, the underlying nano-scale mechanisms within the mineralized collagen fibril remain unknown. Here, we study the effect of mineral and AGEs cross-linking on fibril deformation and fracture behavior by performing destructive tensile tests using coarse-grained molecular dynamics simulations. Our results demonstrate that after exceeding a critical content of mineral, it induces stiffening of the collagen fibril at high strain levels. We show that mineral morphology and location affect collagen fibril mechanics: The mineral content at which this stiffening occurs depends on the mineral's location and morphology. Further, both, increasing AGEs density and mineral content lead to stiffening and increased peak stresses. At low mineral contents, the mechanical response of the fibril is dominated by the AGEs, while at high mineral contents, the mineral itself determines fibril mechanics.
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胶原纤维中的矿物和交联:纳米尺度的骨组织力学行为
矿化胶原纤维是硬组织的主要组成部分,它直接影响着骨等生物组织的宏观力学。胶原纤维本身的力学行为由其结构决定:胶原分子、矿物质和交联物的含量,以及这些成分的力学相互作用和特性。胶原纤维内滋养胶原分子之间的高级糖化终产物(AGEs)交联是一个重要因素,被认为对组织有重大影响。例如,研究表明骨骼的脆性与 AGEs 密度的增加有关。然而,矿化胶原纤维内部潜在的纳米尺度机制仍然未知。在这里,我们通过使用粗粒度分子动力学模拟进行破坏性拉伸试验,研究了矿物质和 AGEs 交联对纤维变形和断裂行为的影响。我们的结果表明,当矿物质含量超过临界值后,它会在高应变水平下导致胶原纤维变硬。我们表明,矿物形态和位置会影响胶原纤维力学:发生僵化的矿物质含量取决于矿物质的位置和形态。此外,AGEs 密度和矿物含量的增加都会导致僵化和峰值应力的增加。在矿物质含量较低时,纤维的力学响应主要由 AGEs 决定,而在矿物质含量较高时,矿物质本身决定了纤维的力学。
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