In the shoot apical meristem a population of stem cells are maintained throughout the life of the plant, cells at the periphery starts to differentiate into more specialized cell types, and new organs are initiated in spectacularly symmetric patterns. It is known that the dynamics and maintenance of the meristem is determined by gene regulatory networks, hormone signaling and mechanical forces. Our aim is to understand how these modules are integrated, act on a cellular level, and are producing a very organized regulation of a coordinated differentiation and morphogenesis. To address this we employ the method of Computational Morphodynamics, where live-imaging of the complete shoot is combined with mathematical modeling for iteratively improving the understanding of growth and differentiation. In this talk I will discuss several aspects of meristem dynamics. I will show that the radial patterning within the meristem can result from a gene regulatory network as well as from a purely mechanical model. I will continue to discuss how auxin and cytokinins can be involved in setting up the radial patterning and how this relates to early organ initiation.