Molecular system for an exponentially fast growing programmable synthetic polymer

Area of Science:

• Molecular Systems Engineering
• Synthetic Biology
• Computational Biology

Background:

• Conventional self-assembly methods face limitations in speed and scalability.
• Building complex molecular structures efficiently remains a significant challenge in nanotechnology.

Purpose of the Study:

• To demonstrate a novel molecular system for active self-assembly of linear DNA polymers.
• To achieve programmable exponential growth in real-time using internal parallel insertion.
• To explore the computational implications of molecular self-assembly.

Main Methods:

• Development of a molecular system for linear DNA polymer self-assembly.
• Implementation of internal parallel insertion for polymer growth.
• Experimental demonstration of polymer division via competitive DNA complex addition.

Main Results:

• Achieved the first active self-assembly linear DNA polymer with programmable exponential growth.
• Demonstrated internal parallel insertion, overcoming limitations of external layer addition.
• Showcased exponential population growth of polymers through controlled division.

Conclusions:

• The developed molecular system offers a pathway to efficient, rapid construction of 2D and 3D shapes.
• Active self-assembly models, like Push-Down Automata, can exhibit exponential growth, challenging conventional Turing machine limitations.
• An extended computational/physical theory is needed to analyze exponential growth in programmable physical systems.