1. Introduction to Computational Modeling of Complex Microstructures 2. Numerical Characterization of Micro and Nano-Composites 3. Numerical Realization and Characterization of Random Heterogeneous Materials 4. Numerical Characterization of Tissues 5. Numerical Characterization of Voronoi Based Microstructures 6. Numerical Modeling of Degraded Microstructures 7. Microstructure Hull and Design