How the Formation of the Turing Pattern Could Be Used in a Bio‐Mechano‐Chemical Framework for Describing Development of Bones and Joints

Abstract

In this conference, we will show our mathematical models for interpreting different biological, biomechanical, and biochemical processes that are fundamental on bone and joints formation. In order to do this description, we use a set of reaction‐diffusion equations that are widely used in morphogenesis, in which biochemical factors are assumed to be secreted by precursor cells, mesenchymal cells, chondrocytes, and osteoblasts, in endochondral and intramembranous ossification, respectively. The solution leads to the so‐called Turing patterns, which represent these processes of ossification approximately. Besides, it has been included the mechanical effects on the growth and form in the development of joints, primary and secondary ossification centers, and bones. Those models have the property of describing the development and shape of bones and joints accurately. In this presentation, we will show the model and hypotheses used for describing the development of the skull, clavicle, patella, and finger joints. Also, we will present some of the research that we are doing around experimental and mathematical problems in biomedical engineering at Universidad Nacional de Colombia.This abstract is from the Experimental Biology 2019 Meeting. There is no full text article associated with this abstract published in The FASEB Journal.