A hypothesis on the formation of the primary ossification centers in the membranous neurocranium: a mathematical and computational model
Related Experiment Video
Updated: May 18, 2026

Midface Hypoplasia and Cranial Base Morphology in Syndromic Craniosynostosis: A Comparative Analysis Study Using a Predictive Regression Model
Published on: November 4, 2025
1Research Group on Numerical Methods for Engineering (GNUM), Departament of Mechanical and Mechatronical Engineering, Universidad Nacional de Colombia, Colombia. dagarzona@unal.edu.co
Abstract:
This article develops a model of the appearance and location of the primary centers of ossification in the calvaria. The model uses a system of reaction-diffusion equations of two molecules (BMP and Noggin) whose behavior is of type activator-substrate and its solution produces Turing patterns, which represents the primary ossification centers. Additionally, the model includes the level of cell maturation as a function of the location of mesenchymal cells. Thus the mature cells can become osteoblasts due to the action of BMP2. Therefore, with this model, we can have two frontal primary centers, two parietal, and one, two or more occipital centers. The location of these centers in the simplified computational model is highly consistent with those centers found at an embryonic level.
Related Concept Videos
Bone Formation by Intramembranous Ossification
The process begins when mesenchymal cells in the embryonic skeleton gather together and differentiate into osteogenic cells, which then develop into...
Bone Formation by Endochondral Ossification
Neurulation
Sutures of the Skull
Sutures are immobile joints between adjacent bones of the skull. The narrow gap between the bones is filled with dense, fibrous connective tissue that unites the bones. The long sutures located between the skull bones are not straight but instead follow irregular, tightly twisting paths. These twisting lines tightly...
Cranial Bones: Superior and Posterior View
The frontal bone is the single bone that forms the forehead. At its anterior midline, between the eyebrows, there is a slight depression called the glabella. The frontal bone also forms the supraorbital margin of the orbit. Near the middle of this margin is the supraorbital foramen, the opening that provides passage for a sensory nerve to the forehead. The frontal bone is thickened just above each supraorbital margin,...
Development of the Limb Synovial Joints
The mesenchymal stem cells differentiate into chondrocytes that form the hyaline cartilage, and later the cartilaginous model of the bone. This model further transforms into a bone. This process is known as endochondral ossification.
During development, the limbs...

