Understanding the collective behaviors in nature and its potential links to engineering the collective artificial behaviors in swarm robotics have attracted the attention among researchers. They have various impacts on different domains such as cell-biology, cancer study, a swarm of drones and unmanned robots. Since the cancer cells share similar collective behaviors, the biomedicine researchers look into different examples from nature to design anti-cancer drugs to shrink tumors in human bodies. An interesting form of collective system is demonstrated by Dictyostelium discoideum. The Ph.D. thesis project aims in the study and understanding of different phases of D. discoideum1 from simple computational models to the concept of multi-agent systems and swarms robotics.