Visual synchronization of two 3-variable Lotka-Volterra oscillators based on DNA strand displacement
Chengye Zou1, Xiaopeng Wei1, Qiang Zhang1,2
1School of Computer Science and Engineering, Dalian University of Technology Dalian 116024 China zhangq@dlut.edu.cn.
Abstract:
DNA strand displacement as a theoretic foundation is helpful in constructing reaction networks and DNA circuits. Research on chemical kinetics is significant to exploit the inherent potential property of biomolecular systems. In this study, we investigated two typical reactions and designed DNA strands with a fluorophore and dark quencher for reaction networks using a 3-variable Lotka-Volterra oscillator system as an example to show the convenience of and superiority for observation of dynamic trajectory using our design, and took advantage of the synchronization reaction module to synchronize two 3-variable Lotka-Volterra oscillators. The classical theory of chemical reaction networks can be used to represent biological processes for mathematical modeling. We used this method to simulate the nonlinear kinetics of a 3-variable Lotka-Volterra oscillator system.
Related Concept Videos
Oscillations about an Equilibrium Position
Oscillations In An LC Circuit
Damped Oscillations
Although friction and other non-conservative...
Forced Oscillations
Lagging Strand Synthesis
There are several major differences between synthesis of the leading strand and synthesis of the lagging strand. 1) Leading strand synthesis happens in the direction of replication fork opening, whereas lagging strand synthesis happens in the...
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...


