Mathematical Aspects of Pattern Formation in Biological Systems

1. Introduction
Juncheng Wei, Matthias Winter

2. Existence of Spikes for the Gierer-Meinhardt System in One Dimension
Juncheng Wei, Matthias Winter

3. The Nonlocal Eigenvalue Problem (NLEP)
Juncheng Wei, Matthias Winter

4. Stability of Spikes for the Gierer-Meinhardt System in One Dimension
Juncheng Wei, Matthias Winter

5. Existence of Spikes for the Shadow Gierer-Meinhardt System
Juncheng Wei, Matthias Winter

6. Existence and Stability of Spikes for the Gierer-Meinhardt System in Two Dimensions
Juncheng Wei, Matthias Winter

7. The Gierer-Meinhardt System with Inhomogeneous Coefficients
Juncheng Wei, Matthias Winter

8. Other Aspects of the Gierer-Meinhardt System
Juncheng Wei, Matthias Winter

9. The Gierer-Meinhardt System with Saturation
Juncheng Wei, Matthias Winter

10. Spikes for Other Two-Component Reaction-Diffusion Systems
Juncheng Wei, Matthias Winter

11. Reaction-Diffusion Systems with Many Components
Juncheng Wei, Matthias Winter

12. Biological Applications
Juncheng Wei, Matthias Winter

13. Appendix
Juncheng Wei, Matthias Winter

Keywords: Mathematics, Partial Differential Equations, Mathematical and Computational Biology, Genetics and Population Dynamics, Physiological, Cellular and Medical Topics