The article analyzes the progress of the Triple Helix innovative model, the reasons and conditions for its change. The original model considered the interaction of the state, business structures and the scientific (including university) community. The article demonstrates how the interaction of elements becomes more complex with the emergence of the fourth, called "public" (media, culture, creative industry, etc.). The role of this element in the Quadruple Helix innovative model is studied. The significance of the work lies in clarifying the characteristics and conditions for the complication of innovative interaction. The Fivefold Helix innovation model illustrates what qualitative changes occur in the relationships of innovation process participants. It accumulates ecological and social aspects of development.

The article examines the importance of the Triple Helix model for improving the efficiency of regional innovation systems. Based on the analysis of scientific works, it reveals the role of universities, business, and the government in shaping the region’s innovation environment. Special attention is paid to the entrepreneurial university, technological entrepreneurship, the commercialization of scientific developments, and regional innovation infrastructure. The conclusion is drawn that the Triple Helix model can improve the efficiency of regional innovations only if its participants interact in practice, rather than merely existing as separate formal institutions