Entropic elasticity controls nanomechanics of single tropocollagen molecules

¹ Massachusetts Institute of Technology

^* To whom correspondence should be addressed. E-mail: mbuehler{at}mit.edu.

Submitted on December 6, 2006
Revised on January 14, 2007
Accepted on 22 February 2007

	Abstract

We report molecular modeling of stretching single molecules of tropocollagen, the building block of collagen fibrils and fibers that provide mechanical support in connective tissues. For small deformation, we observe a dominance of entropic elasticity. At larger deformation, we find a transition to energetic elasticity, which is characterized by first stretching and breaking of hydrogen bonds, followed by deformation of covalent bonds in the protein backbone, eventually leading to molecular fracture. Our force-displacement curves at small forces show excellent quantitative agreement with optical tweezer experiments. Our model predicts a persistence length _p 16 nm, confirming experimental results suggesting that tropocollagen molecules are very flexible elastic entities. We demonstrate that assembly of single TC molecules into fibrils significantly decreases their bending flexibility, leading to decreased contributions of entropic effects during deformation. The molecular simulation results are used to develop a simple continuum model capable of describing entire deformation range of TC molecules. Our molecular model is capable of describing different regimes of elastic and permanent deformation, without relying on empirical parameters, including a transition from entropic to energetic elasticity.

Key Words: deformation, fracture, hierarchical modeling, hyperelasticity, mechanics, persistence length

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