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<p style="font-size=36px">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. </p> | <p style="font-size=36px">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. </p> | ||
− | < | + | <h3>1.The simulation results of each calculation operation. </h3> |
<h4>Addition:</h4> | <h4>Addition:</h4> | ||
<p>The figure below shows the numerical simulation result of a set of reactions:\(A_1 \xrightarrow{k} O,\quad A_2 \xrightarrow{k_2} O, \quad A_2 \xrightarrow{k_3} O\) 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).</p> | <p>The figure below shows the numerical simulation result of a set of reactions:\(A_1 \xrightarrow{k} O,\quad A_2 \xrightarrow{k_2} O, \quad A_2 \xrightarrow{k_3} O\) 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).</p> | ||
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<img src="https://static.igem.org/mediawiki/2019/9/93/T--SEU--subtractionSim.png" width="310" height="141" ></center> | <img src="https://static.igem.org/mediawiki/2019/9/93/T--SEU--subtractionSim.png" width="310" height="141" ></center> | ||
<h4>Multiplication</h4> | <h4>Multiplication</h4> | ||
+ | <p>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 \(3 \times 4=12\).</p> | ||
<center> | <center> | ||
<img src="https://static.igem.org/mediawiki/2019/b/bb/T--SEU--multiplicationSim.png" width="310" height="154" ></center> | <img src="https://static.igem.org/mediawiki/2019/b/bb/T--SEU--multiplicationSim.png" width="310" height="154" ></center> | ||
− | < | + | <h3>2.We use such a model to construct a chemical neuron. A pattern recognition example is shown here.</h3> |
<center><img src="https://static.igem.org/mediawiki/2019/5/5c/T--SEU--pattern.png" width="620" height="691" ></center> | <center><img src="https://static.igem.org/mediawiki/2019/5/5c/T--SEU--pattern.png" width="620" height="691" ></center> | ||
− | < | + | <h3>3.The DNA experment results of our calculation operations.</h3> |
<h3>References</h3> | <h3>References</h3> |
Revision as of 06:31, 3 October 2019
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.
1.The simulation results of each calculation operation.
Addition:
The figure below shows the numerical simulation result of a set of reactions:\(A_1 \xrightarrow{k} O,\quad A_2 \xrightarrow{k_2} O, \quad A_2 \xrightarrow{k_3} O\) 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 \(3 \times 4=12\).
2.We use such a model to construct a chemical neuron. A pattern recognition example is shown here.
3.The DNA experment results of our calculation operations.
References
[1] CRNsimulator.