1 Introduction Abstract 1.1 Concluding Remarks References 2 The Finite Element Approach Abstract 2.1 History behind the Approach 2.2 Mesh and Mesh-Free 2.3 General Principles 2.4 Constructing the Model 2.5 Assigning Materials Properties of Bone 2.6 Issue with Non-Linearity 2.

7 Accuracy of FEM 2.8 Concluding Remarks References 3 Understanding the Biomechanics Abstract 3.1 Biomechanics of the Mandible 3.1.1 Hypotheses based on Non-Lever Action 3.2 Biomechanics of the Temporomandibular Joint 3.3 Concluding Remarks References 4 Mathematical Analysis of the Mandible Abstract 4.1 Tooth Contact and the Biting Force 4.

2 Calculating Forces at the TMJ 4.3 Barbenel's Analysis 4.4 Pruim, De Jongh, Ten Bosch's Analysis 4.5 Throckmorton and Throckmorton's Analysis 4.6 Concluding Remarks References 5 Understanding Bone Structures Abstract 5.1 Bone Healing Process 5.2 Fracture Healing and Numerical Simulation 5.3 Bone Remodeling around Dental Implants 5.

3.1 Strain Energy Density 5.3.2 Mechanobiological Approach 5.3.3 Stanford Theory 5.4 Concluding Remarks References 6 Patient-Specific Modeling Abstract 6.1 Mechanical Properties of Bone Tissue from CT Scans 6.

1.1 Hounsfield Units to Density 6.1.2 Cortical Bone 6.1.3 Cancellous Bone 6.2 Muscle Forces and other Boundary Conditions 6.3 Concluding Remarks References 7 Artificial Intelligence, Machine Learning, and Neural Network Abstract 7.

1 Fuzzy Logic 7.2 Machine Learning and Neural Network 7.2.1 Predicting the Osseointegration Process 7.2.2 Design Optimization 7.2.3 Bone Healing and Remodeling 7.

3 Concluding Remarks References.