Topological Investigation of Protein Folding and Intrinsic Disorder

Mapping protein conformations into a space of fold topologies offers an unprecedented perspective on the long-standing protein folding problem. In this study, we apply circuit topology to investigate the folding landscape of both stably folded and intrinsically disordered proteins. This topological approach quantifies intrachain contact arrangements within a polypeptide chain. We demonstrate that ordered and disordered proteins can be distinguished by their topological organization, and that a topology-based model can predict chain compaction and folding state. Furthermore, topology relates to folding and unfolding kinetics and thermodynamics. These findings establish topology as a fundamental concept for understanding protein folding and disorder.