Team:SEU/Model

Demonstrate

In this page, we provide simulation results along with experiment results. Simulations are based on a Mathematica numerical simulation package CRNsimulator [1]. Unitless concentrations and rate constants are utilized to simplify the model. For more details, please refer to our Model Page.

Dry Experiments

1.The simulation results of each calculation operation.

Addition:

The figure below shows the numerical simulation result of a set of reactions:\(A_1 \xrightarrow{k} O,\quad A_2 \xrightarrow{k_2} O, \quad A_3 \xrightarrow{k_3} O\) which perform addition calculation. The initial concentrations (input values) are 1, 2 and 3, respectively (dashed lines in the figure). The output result is the sum of such values (solid red line in the figure).

Subtraction:

The figure below shows the reaction \(A+B \xrightarrow{k} \phi\) which is a subtractor. There are two tests shown in this figure: \([A_1](0)=3, [B_1](0)=2\) and \([A_2](0)=2, [B_2](0)=4\).

Multiplication:

The numerical results of reactions \(\alpha \xrightarrow{k_1} \phi, A+B+\alpha \xrightarrow{k_2} A+B+\alpha+C\) are shown in the figure below. Initial concentrations are \([A](0)=4, [B](0)=3\). The result shows that the final concentration of \(C\) reaches \(4 \times 3=12\).

2.We use such a model to construct a chemical neuron.

A pattern recognition example in computer simulation is shown here. The DNA-based neuron is trained to recognize a 'T' in a \(3 \times 3\) grid. Only after 10 times of training, the neuron can successfully recognize the target 'T'.

Wet Experiment

3.The DNA experment results of our calculation operations.

References

[1] CRNsimulator.