Group of Mathematical Modeling and Numerical Methods GNUM-UN, Faculty of Engineering, National University of Colombia, Bogota, Colombia.
Comput Methods Programs Biomed. 2011 Mar;101(3):297-314. doi: 10.1016/j.cmpb.2010.11.007. Epub 2010 Dec 22.
The aim of this paper is to introduce a new mathematical model using a mechanobiological approach describing the process of osseointegration at the bone-dental implant interface in terms of biological and mechanical factors and the implant surface. The model has been computationally implemented by using the finite element method. The results show the spatial-temporal patterns distribution at the bone-dental implant interface and demonstrate the ability of the model to reproduce features of the wound healing process such as blood clotting, osteogenic cell migration, granulation tissue formation, collagen-like matrix displacements and new osteoid formation. The model might be used as a methodological basis for designing a dental tool useful to predict the degree of osseointegration of dental implants and subsequent formulation of mathematical models associated with different types of bone injuries and different types of implantable devices.
本文旨在介绍一种新的数学模型，该模型采用机械生物学方法，从生物学和力学因素以及植入物表面等方面描述了骨-牙种植体界面的骨整合过程。该模型已通过有限元方法进行了计算实现。结果显示了骨-牙种植体界面的时空模式分布，并证明了该模型能够再现伤口愈合过程的特征，如凝血、成骨细胞迁移、肉芽组织形成、类似胶原基质的位移和新骨形成。该模型可作为设计牙科工具的方法学基础，有助于预测牙种植体的骨整合程度，并随后制定与不同类型的骨损伤和不同类型的植入装置相关的数学模型。
