Control of self-replicating patterns in a model reaction-diffusion system

Abstract

Spatiotemporal patterns, e.g., spots, which replicate, grow, and die as solutions of nonlinear reaction-diffusion models are interesting because of their striking resemblance to the self-replicating phenomena observed in many important physical, chemical, and biological processes, e.g., micelles, living cells, and DNA. With this viewpoint we considered the characterization of a model self-replicating system from limited and inaccurate system information. We also addressed control goals that are relevant to many natural processes exhibiting this phenomenon, such as altering and arresting the growth of replication.