Biomod/2011/Caltech/DeoxyriboNucleicAwesome/SPEX Results

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(Detection of Potential Leak Reactions)
(Random Walking with Different Starting Positions)
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==Random Walking with Different Starting Positions==
==Random Walking with Different Starting Positions==
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[[Image:SPEX_RW_1.PNG‎ |thumb|right|500px|Figure 1. Unnormalized SPEX results for different lengths of tracks and space walking. Excess of walker triggers were added at 4000s to activate all the walkers. Excess of walkers tagged with quenchers were added at the end to terminate all the reactions.]]
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Figure 1 shows the original unnormalized SPEX data. The walkers reached their destinations faster on shorter tracks.But this is not enough to show that the walkers were randomly walking on the surface of origami, because there was 5-fold excess of tracks in solution that the walker can strand displace onto from origami. We refer to this hypothetical process as 'space walking'. To test for this we designed a playground without any probes except for the one on the starting position of the walker (SP10) and that of the walker goal,but with 5-fold excess of tracks in solution, and we compared this to results of the walker on the regular playground at different starting positions.
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As can be seen from the graph, space walking was the slowest process. As the rate of SW depends on the concentration of free floating tracks as well as the concentration of origami, the effect of SW on the overall rate of fluorophore quenching can be reduced by diluting free floating tracks and origami (data not shown). It was shown that the random walks all went to around 50% completion instead of 100%. This phenomenon could be attributed to malformed origami, misplanted tracks on the origami, or failure in planting walkers/walker goals.
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This graph was normalized so the point at which the walker trigger was released starts at 1, and the point at where the fluorophores are assumed to be fully quenched is 0 (Figure 2). A similar trend was obtained: the rate of quenching was higher when the distance between starting point and walker goal was decreased.  This is characteristic of a two dimensional random walk, but could not be used to confirm random walk, as a random walk is defined to be unbiased. Hence Matlab simulation and a mathematical model were employed to verify the occurrence of random walking on the origami.
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[[Image:SPEX_RW_2.PNG‎ |thumb|center|800px|Figure 2. Normalized fluorescent data. The point at which the walker trigger was released starts at 1, and the point where the fluorophores are assumed to be fully quenched is 0.]]
=Data Analysis=
=Data Analysis=

Revision as of 09:08, 2 November 2011

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Sunday, July 13, 2014

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SPEX Results

As discussed in SPEX Experimental Design, two sets of experiments were conducted to verify the random walking mechanism. The first set was performed to detect potential leak reactions in the system, while the second set of experiments were used to verify the random walking mechanism.

Detection of Potential Leak Reactions

To verify that the walker walks on the origami using the intended mechanisms, we set up control groups where either tracks (TR), except for the one that the walker is bound to, or walker triggers (WT), or both, were missing in the reactions. Walkers are not expected to perform random walking under such conditions. As shown in Figure 1, no decrease in fluorescent signals were observed unless both tracks and walker triggers were added into the system. Hence potential leak reactions are negligible.

Figure 1. Detection of Potential Leak Reactions. No decrease in fluorescent signals were observed unless both tracks and walker triggers were added into the reaction system. Different fluorescent levels could be attributed to pipetting errors. The gradual increase in fluorescent signals in three control groups was due to increase in fluorophore concentration caused by the evaporation of buffer.
Figure 1. Detection of Potential Leak Reactions. No decrease in fluorescent signals were observed unless both tracks and walker triggers were added into the reaction system. Different fluorescent levels could be attributed to pipetting errors. The gradual increase in fluorescent signals in three control groups was due to increase in fluorophore concentration caused by the evaporation of buffer.

Random Walking with Different Starting Positions

Figure 1. Unnormalized SPEX results for different lengths of tracks and space walking. Excess of walker triggers were added at 4000s to activate all the walkers. Excess of walkers tagged with quenchers were added at the end to terminate all the reactions.
Figure 1. Unnormalized SPEX results for different lengths of tracks and space walking. Excess of walker triggers were added at 4000s to activate all the walkers. Excess of walkers tagged with quenchers were added at the end to terminate all the reactions.

Figure 1 shows the original unnormalized SPEX data. The walkers reached their destinations faster on shorter tracks.But this is not enough to show that the walkers were randomly walking on the surface of origami, because there was 5-fold excess of tracks in solution that the walker can strand displace onto from origami. We refer to this hypothetical process as 'space walking'. To test for this we designed a playground without any probes except for the one on the starting position of the walker (SP10) and that of the walker goal,but with 5-fold excess of tracks in solution, and we compared this to results of the walker on the regular playground at different starting positions.

As can be seen from the graph, space walking was the slowest process. As the rate of SW depends on the concentration of free floating tracks as well as the concentration of origami, the effect of SW on the overall rate of fluorophore quenching can be reduced by diluting free floating tracks and origami (data not shown). It was shown that the random walks all went to around 50% completion instead of 100%. This phenomenon could be attributed to malformed origami, misplanted tracks on the origami, or failure in planting walkers/walker goals.

This graph was normalized so the point at which the walker trigger was released starts at 1, and the point at where the fluorophores are assumed to be fully quenched is 0 (Figure 2). A similar trend was obtained: the rate of quenching was higher when the distance between starting point and walker goal was decreased. This is characteristic of a two dimensional random walk, but could not be used to confirm random walk, as a random walk is defined to be unbiased. Hence Matlab simulation and a mathematical model were employed to verify the occurrence of random walking on the origami.

Figure 2. Normalized fluorescent data. The point at which the walker trigger was released starts at 1, and the point where the fluorophores are assumed to be fully quenched is 0.
Figure 2. Normalized fluorescent data. The point at which the walker trigger was released starts at 1, and the point where the fluorophores are assumed to be fully quenched is 0.

Data Analysis

Matlab Simulation

Mathematical Formulae

Conclusion

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