Computational modeling of type I collagen fibers to determine the extracellular matrix structure of connective tissues

Abstract

A method is presented for generating computer models of biological tissues. The method uses properties of extracellular matrix proteins to predict the structure and physical chemistry of the elements that make up the tissue. The method begins with Protein Data Bank coordinate positions of amino acids as input into TissueLab software. From the amino acid sequence, a type I collagen-like triple helix backbone was computationally constructed and boundary spheres were added based on known chemical and physical properties of the amino acids. Boundary spheres determined the contact surface characteristics of the collagen molecules and intermolecular interactions were then determined by considering the relationships of the contact surfaces and by resolving the energy-minimum state using feasible sequential quadratic programming. From this, the software created fibrils that corresponded exactly to known collagen parameters and were further confirmed by finite element modeling. Computationally derived fibrils were then used to create collagen fibers and three-dimensional collagen matrices. By resolving the energy-minimum state, large complex components of the extracellular space as well as other structures can be determined to provide three-dimensional structure of molecules, molecular interactions and the tissues that they form.