SINGLE-MOLECULE MECHANOANALYTICAL DNA DEVICE FOR ULTRASENSITIVE SENSING OF ANALYTES
20170314066 · 2017-11-02
Inventors
Cpc classification
C12Q2523/303
CHEMISTRY; METALLURGY
C12Q2525/173
CHEMISTRY; METALLURGY
C12Q2525/173
CHEMISTRY; METALLURGY
C12Q2523/303
CHEMISTRY; METALLURGY
International classification
Abstract
A single-molecule mechanoanalytical real-time sensing device (SMART) comprising a molecular trawl and a DNA stem-loop structure that serves as a molecular dipstick, said trawl and said DNA stem-loop structure anchored by handles to two optically-trapped bead templates; said molecular trawl comprising multiple analyte recognition elements that exist in each of two separate DNA (pair) strands that act as two pincers, said pincers each having a nucleobase capable of catching an analyte in a media; said DNA stem-loop structure comprising a plurality of nucleotides in said loop and multiple base pairs in said stem; and wherein said DNA stem-loop is located generally opposite to said molecular trawl that is capable of reporting an amount of bound analyte target via mechanochemical transient events.
Claims
1. A single-molecule mechanoanalytical real-time sensing device (SMART) comprising: a molecular trawl and a DNA stem-loop structure that serves as a molecular dipstick, said trawl and said DNA stem-loop structure capable of being anchored by handles to two optically-trapped beads; said molecular trawl comprising multiple analyte recognition elements that exist in each of two separate DNA strands that act as two pincers, said pincers each having an analyte recognition element capable of catching an analyte in a media; said DNA stem-loop structure comprising a plurality of nucleotides and multiple base pairs; and wherein said DNA stem-loop is located generally opposite to said molecular trawl that is capable of reporting an amount of bound analyte target via mechanochemical transient events.
2. The SMART device of claim 1, wherein said anchoring beads are essentially at a standstill and wherein a fluid is forced through said mechanoanalytical device, and wherein said bound analyte target is Hg.sup.2+, wherein said trawl and said stem-loop structures are anchored to said optical-trapped beads by two dsDNA handle strands.
3. The SMART device of claim 1, wherein each said two separate DNA trawl strands, independently, comprise one or more of an adenine (A), cytosine (C), quinine (G), or thiamine (T) nucleotide or any combination thereof, wherein each said two separate trawl DNA strands, independently, contain from 2 to about 200 nucleotides therein; wherein each said two separate trawl DNA strand contains a specific antigen element that is capable of recognizing a specific analyte; wherein said loop nucleotides comprise one or more adenine, cytosine, guanine, or thiamine, or any combination thereof, and wherein said stem base pairs nucleotides, independently, comprise one or more of adenine, cytosine, guanine, or thiamine, or any combination thereof, and wherein said loop nucleotides are different from said stem nucleotides but wherein the same are compatible with each other.
4. The SMART device of claim 3, wherein said analyte recognition element comprises a protein, or one or more nucleic acids or a separate sequence, in each said two separate DNA strands; wherein said loop (single stranded DNA) has from about 2 to about 20 nucleotides, and wherein said stem (double stranded DNA) has from about 8 to about 40 or about 60 total base pairs; and wherein each handle (double stranded DNA), independently, has from about 2,000 to about 4,000 base-pairs.
5. The SMART device of claim 4, wherein each said DNA trawl strand, independently, contains from about 10 to about 100 nucleotides, wherein said loop (single stranded DNA) has from about 2 to about 10 nucleotides, and wherein said stem (double stranded DNA) has from about 10 to about 25 total base pairs; wherein each handle (double stranded DNA), independently, has from about 2,000 to about 2,500 base-pairs.
6. The SMART device of claim 5, wherein said analyte recognition element comprises polythymine DNA strands, polycytosine DNA strands, said B-DNA strands, or said ssDNA strands labeled with a specific antigen.
7. The SMART device of claim 6, wherein each said DNA trawl strand, independently, contains from about 20 to about 50 nucleotides, wherein said loop (single stranded DNA) has from about 2 to about 6 nucleotides, and wherein said stem (double stranded DNA) has from about 15 to about 20 total base pairs.
8. The SMART device of claim 3, wherein said optically-trapped bead comprises glass, fused silica, boron nitride, a polymer, or any combination thereof; wherein said bead is optically-trapped by a laser, and wherein a force to unzip said stem-loop structure is from about 8 to about 20 pN.
9. The SMART device of claim 4, wherein said optical bead comprises a polymer; wherein said bead is optically-trapped by a laser, and wherein a force to unzip said stem-loop structure is from about 8 to about 20 pN.
10. The SMART device of claim 7, wherein said optical bead comprises a polymer; wherein said bead is optically-trapped by a laser, and wherein a force to unzip said stem-loop structure is from about 8 to about 20 pN.
11. The SMART device of claim 3, wherein said analyte comprises ATP; cocaine; melamine; a nucleic acid; an antibody; a bacteria; a toxic metal; or a disease biomarker; and any combination thereof.
12. The SMART device of claim 5, wherein said analyte comprises ATP; cocaine; melamine; a nucleic acid; an antibody; a bacteria; a toxic metal; or a disease biomarker; and any combination thereof.
13. The SMART device of claim 7, wherein said analyte comprises ATP; cocaine; melamine; a nucleic acid; an antibody; a bacteria comprising a mycobacterium ulcerans, or a Bordetella avium; a toxic metal comprising Pb, Ag, or As, or a disease biomarker comprising a HIV-1 protease, or hepatitis C virus helicase; or any combinations thereof.
14. The SMART device of claim 1, wherein said device is located in a media, and wherein the index of refraction of said bead is greater than the index of refraction of said media.
15. The SMART device of claim 3, wherein said device is located in a media, and wherein the index of refraction of said bead is greater than the index of refraction of said media.
16. The SMART device of claim 7, wherein said device is located in a media, wherein said media is water for an aqueous buffer system, and wherein the index of refraction of said bead is greater than the index of refraction of said media.
17. A process for measuring very small amounts of an analyte, comprising the steps of: forming a SMART device, said SMART device comprising: a molecular trawl and a DNA stem-loop structure that serves as a molecular dipstick, said trawl and said DNA stem-loop structure anchored by handles to two optically-trapped beads; said molecular trawl comprising multiple analyte recognition elements that exist in each of two separate DNA strands that act as two pincers, said pincers each having an analyte recognition element capable of catching an analyte in a media; said DNA stem-loop structure comprising a plurality of nucleotides and multiple base pairs; and wherein said DNA stem-loop is located generally opposite to said molecular trawl that is capable of reporting an amount of bound analyte target via mechanochemical transient events; and Calculating the amount of analyte captured by said SMART device.
18. The process of claim 17, wherein each said two separate DNA trawl strands, independently, comprise one or more of an adenine (A), cytosine (C), quinine (G), or thiamine (T) nucleotide or any combination thereof, wherein each said two separate trawl DNA strands, independently, contain from 2 to about 200 nucleotides therein; wherein each said two separate trawl DNA strand contains a specific antigen element that is capable of recognizing a specific analyte; wherein said loop nucleotides comprise one or more adenine, cytosine, guanine, or thiamine, or any combination thereof, and wherein said stem base pairs nucleotides, independently, comprise one or more of adenine, cytosine, guanine, or thiamine, or any combination thereof, and wherein said loop nucleotides are different from said stem nucleotides but wherein the same are compatible with each other.
19. The process of claim 18, wherein said analyte recognition element comprises a protein, or one or more nucleic acids, or a separate sequence, in each said two separate DNA strands; wherein said loop (single stranded DNA) has from about 2 to about 20 nucleotides, and wherein said stem (double stranded DNA) has from about 8 to about 40 or about 60 total base pairs; and wherein each handle (double stranded DNA), independently, has from about 2,000 to about 4,000 base-pairs.
20. The process of claim 19, wherein each said DNA trawl strand, independently, contains from about 10 to about 100 nucleotides, wherein said loop (single stranded DNA) has from about 2 to about 10 nucleotides, and wherein said stem (double stranded DNA) has from about 10 to about 25 total base pairs; wherein each handle (double stranded DNA), independently, has from about 2,000 to about 2,500 base-pairs.
Description
DESCRIPTION OF THE DRAWINGS
[0013] “The present patent application file contains at least 8 drawings executed in color. Copies of this patent or patent application publication with colored drawings will be provided by the Patent Office upon request and payment of the necessary fee”.
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DETAILED DESCRIPTION OF THE INVENTION
[0022] Single-Molecule Mechanoanalytical Real Time Sensing (SMARTS) Device.
[0023] The SMARTS device is inspired by the trawling mechanism in fishing and the dipstick concept to gauge the level of the material (oil in particular) inside a closed container (
[0024] The handles are generally made of dsDNA (double stranded DNA), having from about 4,000 to about 8,000 nucleotides in each handle, desirably from about 4,000 to about 6,000, and preferably from about 4,000 to about 5,000 nucleotides. That is, about 2,000 to about 4,000, desirably from about 2,000 to about 3,000, and preferably from about 2,000 to about 2,500 based pairs (bp) are utilized. Generally a double stranded DNA is utilized because it is very stable and easy to prepare. Generally any type, sequence, etc., of dsDNA can be utilized as is known to the art and to the literature.
[0025] Catch of an analyte requires two elements from the two pincers. Instead of moving a trawl to catch fish using boats, here we keep the anchoring beads and therefore, molecular trawl, standstill, while forcing the solution to flow by. Quite often, the product of trawling is checked by visual inspection after a trawl is surfaced. At the level of individual molecules, such an inspection is not possible. Noticing dipsticks can check the level of materials (for example engine oil) in a container (
[0026] A DNA stem-loop structure (hairpin) has stem (double stranded) DNA strands containing cytosine, guanine, adenine, or thymine, or any combination thereof, and a loop (single stranded) DNA strand containing A, C, G or T, or any combination thereof. However, the DNA loop strands can be different from the DNA stem strands in any one SMART device, but they are compatible with each other. Thymine is preferred in the loop of a dipstick that is located opposite to the molecular trawl in the SMARTS. Generally the number of nucleotides in the loop (single stranded DNA) structure is from about 2 to about 20, desirably from about 2 to about 10, and preferably from 2 to about 6. The total number of complementary (double stranded) DNA base pairs in the stem is generally from about 8 to about 40 or 50, or 60, desirably from about 10 to about 25, and preferably from about 15 to about 20. When the hairpin is subject to ˜15 pN exerted by optical tweezers, the stem-loop is unraveled, which is accompanied by the unzipping of the two pincers in the molecular trawl (See
[0027] The design of molecular trawl can be rather versatile. Either protein or nucleic acids can be used in the SMARTS device to specifically recognize chemical analytes. Since DNA is more stable and more cost-effective than proteins, we chose individual B-DNA molecules as templates for SMARTS. The templates can be made of aptamers, which are DNA strands having different sequences to accommodate different targets. For example, polythymine DNA strands can bind Hg.sup.2+, DNA strands containing cytosine, guanine, adenine, and thymine can make a binding pocket for ATP or other small molecular targets, DNA strands labeled with specific antigens can specifically recognize antibodies. Although specific aptamers can be used as recognition elements for various targets ranging from small molecules, macromolecules, to whole cells, for its simplicity and environmental significance, we used T-T mismatch pairs to recognize Hg.sup.2+ ions through the T-Hg.sup.2+-T complex as the thymine residues bind to the Hg.sup.2+ through covalent nitrogen-Hg bonds.
[0028] Molecular Trawling in the SMARTS.
[0029] To evaluate the efficacy of the molecular trawls for Hg.sup.2+ detection, we varied the number of thymines in each trawl while using the same molecular dipstick reporter with a 20-bp (base pairs)-stem and a 4-nt (nucleotide) loop (
[0030] At low analyte concentrations, however, not every F-X curve shows the evidence of catching Hg.sup.2+ ions. This observation increases the uncertainty in the Hg.sup.2+ sensing if rupture force histograms, which reflect average results, are compared. It is likely that with sufficiently low Hg.sup.2+ concentration, the chance of Hg.sup.2+ binding is so low that a ΔL histogram will not show a difference compared to that in the Hg.sup.2+ free buffer. Therefore, we opted to determine the binding of Hg.sup.2+ to the molecular trawl from individual F-X traces. To this end, first, we obtained more than 15 ΔL measurements in the buffer channel as a reference, from which average ΔL.sub.average and standard deviation (σ) was obtained. After the SMARTS was transported to the Hg.sup.2+ channel, the binding of the Hg.sup.2+ was defined by the threshold value of ΔL.sub.average-3σ (
[0031] Molecular Dipsticks in the SMARTS.
[0032] The hairpin dipstick we used for the 50T SMARTS device only contained 44 nucleotides (a 20-bp stem and a 4-nt loop). This dipstick may not be able to probe beyond 22 thymines in the molecular trawl, irrespective of the binding of Hg.sup.2+ in this region. In the next step, we increased the length of the hairpin dipstick to 108 nucleotides (a 52-bp stem and a 4-nt loop) so that it can reach the bottom of the 50T* molecular trawl (
[0033] When hairpin becomes long, the unfolding transition of the hairpin is no longer cooperative.sup.23. Instead, the sawteeth unfolding features with a plateau force of ˜15 pN could be observed, which leads to the unfolding of the Hg.sup.2+ ions as discussed above. To serve as an effective reporter for analyte binding in the molecular trawling strategy, therefore, long hairpin dipsticks (about 52 total base pairs stems) are avoided. In an alternative approach, we designed two short hairpin dipsticks to gauge the binding of Hg.sup.2+ (
[0034] Compared to the most sensitive methods of Hg.sup.2+ sensing (˜100 fM).sup.9, our approach presents at least about 2 orders of magnitude lower, desirably at least about 2.5, and preferably at least about 3 orders of magnitude lower in detection limit with a much simpler sample preparation. It is noteworthy that the detection limit can be further improved by using a longer time window preferably from 30 to about 45 min, with longer molecular trawling preferably from 100 to about 200 bp, or employing more trawls preferably from 4 to about 6 in the SMARTS. Given that the affinity (K.sub.d) of Hg.sup.2+ binding to a single T-T mismatch pair is in the μM ranges.sup.24 it is surprising that femtomolar Hg.sup.2+ concentration was detected here. This superb detection limit can be ascribed to three factors. First, the T-T mismatch pairs in the molecular trawling device are arranged in a polyvalent manner, which has a well-known entropic effect to increase the binding affinity.sup.25. Second, the multiple T-T pairs increased the effective local concentrations, increasing the k.sub.on for Hg.sup.2+ binding. Finally, the 50T** SMARTS device can reach deeper into a solution, increasing the interaction area for Hg.sup.2+ binding in a fixed time window.
[0035] Quantification of Hg.sup.2+ in Field Samples.
[0036] Before testing field samples using these SMARTS devices, next, we evaluated its specificity. Using the similar approach as described in
[0037] To quantify the concentration of Hg.sup.2+ using the SMARTS device, we constructed calibration curves in which the observation time for the first binding event was plotted against the known Hg.sup.2+ concentration. For the 50T** SMARTS with two hairpin dipsticks, we found the observation time decreased significantly with concentration in the dynamic range of 1 fM-100 pM (
[0038] With the specificity and the quantification procedures firmly established, finally, we measured Hg.sup.2+ concentration in Lake Erie. We first filtered Lake Erie water (Huntington Beach, Aug. 20, 2015) with a 200 nm-pore polystyrene filter, followed by direct injection into the microfluidic chamber (see Methods). By recording the time for the first binding events, we found 1.2±0.4 fM Hg.sup.2+ (2.4×10.sup.−4±0.8×10.sup.−4 ppt) in the field sample using exponential fitting equation (
[0039] In view of the above, the present invention relates to a SMART device for measuring very small amounts of an analyte. Various analytes have been set forth above as well as the important aspects of the device such as two optical trapped beads that position the SMART device, handles that are connected to the optical trapped beads and are connected to a loop and stem made of DNA strands, and also attached to two separate DNA strands that constitute a trawl. In one embodiment, the SMART device can be placed in an aqueous medium such as water and dragged through the same whereby the above-noted structure calculates the amount of an analyte in said fluid, or antipodally, where a fluid is forced through a stationary SMART device.
[0040] In summary, we have successfully demonstrated first-in-class single-molecule mechanoanalytical real time sensing (SMARTS) devices. With the incorporation of molecular trawls for Hg.sup.2+ recognition and molecular dipsticks to report Hg.sup.2+ binding, an unprecedented detection limit of 1 fM Hg.sup.2+ (2×10.sup.−4 ppt) was achieved in 20 minutes, which is two orders of magnitude lower than the best Hg.sup.2+ detection method reported..sup.9 This detection limit is nine orders of magnitude lower than the K.sub.d, which represents an improvement of three orders of magnitude compared to amplification based biosensing methods.sup.21. The SMARTS can have high versatility to detect a range of different analytes, which include small molecules as well as proteins and nucleic acids. As an example, we were able to detect 100 pM antibody in serum within 30 minutes using antigens as the sensing probe.sup.22. However, the novel concept of mechanoanalytical devices described here provides a key contribution to the mechanoanalytical chemistry.sup.26, a new field that uses mechanochemical principles for chemical analyses.
[0041] Material and Methods
[0042] The DNA construct for single-molecule mechanochemical sensing (SMMS).sup.5 was prepared by sandwiching a DNA hairpin between two dsDNA handles (2690 and 2028 bp). Opposite to the hairpin, poly-thymine anti-parallel DNA oligomers were introduced to serve as molecular recognition unit for Hg.sup.2+ binding (
[0043] The 2690 bp dsDNA handle was constructed by SacI (NEB) and EagI (NEB) digestions of a pEGFP plasmid (Clontech, Mountain View, Calif.). The handle was gel purified and subsequently labeled at the 3′ end by digoxigenin (Dig) using 18 μM Dig-dUTP (Roche, Indianapolis, Ind.) and terminal transferase (Fermentas, Glen Burnie, Md.). The Dig-labeled 2690 handle was purified by ethanol precipitation. The biotin labeled 2028 bp dsDNA handle was prepared by PCR amplification using a pBR322 template (New England Biolab, NEB) and a 5′ biotinylated primer 5′-GCATTAGGAAGCAGCCCAGTAGTA GG-3′ (IDT, Coralville, Iowa). The PCR product was purified with PCR purification kit (Qiagen, Germantown, Md.) and subsequently digested with XbaI restriction enzyme (NEB). The digested 2028 bp handle was gel purified using a kit (Midsci, St. Louis, Mo.). To optimize the single-molecule mechanoanalytical device, DNA constructs with different sensing probes were synthesized and compared for their sensing capacities (see
[0044] In general, to synthesize the 1TDNA construct, an oligonucleotide 5′CTAG TG CAT TAG GAAGCAGCC CAG AAA GGTGCA CC 3′ (Oligo-B1) which contained a part of the hairpin stem (8 nts, underlined) was annealed with an oligonucleotide 5′ T TTTCTGGGCTGCTTC CTA ATG CA 3′ (Oligo-B5.1) at 97° C. for 5 min and slowly cooled to room temperature for 6 hours.
[0045] This fragment was ligated with the 2028 bp DNA handle by T4DNA ligase (NEB) and gel purified using a kit (Midsci, St. Louis, Mo.). On the other side of the DNA construct, oligonucleotides 5′ GGACGGTGC ACC AAA AGCAAGACG TAG CCC AGCGCG 3′ (Oligo-B3) containing another part of the hairpin stem (12 nts, underlined) was annealed with oligonucleotides, 5′ GGCC CGCGCTGGG CTA CGT CTT GCTTTT T 3′ (Oligo-B4.1). This fragment was ligated with the 2690 bp handle and gel purified. The final DNA construct was synthesized using T4DNA ligase (NEB) through three-piece ligation of the 2028 and 2690 bp DNA handles and an ssDNA fragment, 5′ GTCCGG ACC CTGTTTTCAGGGT CC 3′(Oligo-B2), which contained a tetrathymine loop with underlined regions representing the complementary regions of the hairpin stem. Other DNA constructs such as 2T, 4T, 10T, 50T, 50T* and 50T** (
TABLE-US-00001 TABLE 1 Oligonucleotides used to synthesize different DNA constructs for SMARTS devices. Sensing Length probe Oligo Sequence (5′-3′) (nt) 1T B 1 CTAG TG CAT TAG GAAGCAGCC CAG AAA GGTGCA CC 35 B 2 GTCCGG ACC CTGTTTT CAG GGT CC 24 B 3 GGACGGTGC ACC AAA AGCAAGACG TAG CCC AGCGCG 36 B 4.1 GGCC CGCGCTGGG CTA CGT CTT GCTTTT T 29 B 5.1 T TTTCTGGGCTGCTTC CTA ATG CA 24 2 T B 4.2 GGCC CGCGCTGGG CTA CGT CTT GCT CTT T 29 B 5.2 T TAG CTGGGCTGCTTC CTA ATG CA 24 4 T B 4.3 GGCC CGCGCTGGG CTA CGT CTT GCT CTT TGTGTT C 35 B 5.3 G TTC ACT TAG CTGGGCTGCTTC CTA ATG CA 30 10 T B 4.4 GGCC CGCGCTGGG CTA CGT CTT GCT CT TTTTTTTTTT 37 B 5.4 TTTTTTTTTT AG CTGGGCTGCTTC CTA ATG CA 32 50 T B 4.5 GGCC CGCGCTGGG CTA CGT CTT GCT CT 77 TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT B 5.5 TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT 72 AG CTGGGCTGCTTC CTA ATG CA 50 T* B 1* CTAG TG CAT TAG GAAGCAGCC CAG AAA GAT CAG TAG 67 CGAGGCTGCAGTGTACGGAGGTCG GTG CAT C B 2* GTCCGG ACC CTGTTTT CAG GGT CC 24 B 3* GGAC G ATG CAC CGACCT CCG TAC ACT GCAGCCTCG CTA 68 CTG ATC AAA AGCAAGACG TAG CCC AG CGCG 50 T** B 1** CTAG TG CAT TAG GAAGCAGCC CAG AAA GCAGGA ACA 89 GGG AAT GCC CG TTTT CG GGC ATT CCC TGTTCCTGCCTAT CT AACTGGTGCA CC B 2** GTCCGG ACC CTGTTTT CAG GGT CC 24 B 3** GGACGGTGC ACC AAA AGCAAGACG TAG CCC AGCGCG 36
[0046] The single-molecule mechanochemical studies were performed in a microfluidic channel within laser tweezers instrument. The microfluidic patterns (
[0047] Detailed description of the laser tweezers instrument has been reported elsewhere.sup.27. In brief, a diode pumped solid-state laser source (DPSS, 1,064 nm wavelengths in continuous-wave mode, BL-106C, Spectra-physics) was used to generate P- and S-polarized laser beams for two laser traps. The position of each trap was detected separately using two position-sensitive photo detectors (DL100, Pacific Silicon Sensor). A steerable mirror (Nano-MTA, Mad City Laboratories) was used to control the S-polarized light at the plane conjugate to the back focal plane of a focusing objective (Nikon CFI-Plan-Apochromat ×60, NA=1.2, water immersion, working distance ˜320 μm). During the experiments, the tension inside the DNA construct was varied by the movement of the steerable mirror using the LabView 8 program (National Instruments Corporation).
[0048] To start the sensing experiments, the DNA construct was first immobilized onto the surface of the anti-digoxigenin antibody-coated polystyrene beads (diameter: 2.10 μm) through the antibody-antigen complex formation. The incubated sample was further diluted to 1 mL in a 10 mM Tris buffer with 100 mM KCl (pH 7.4). The streptavidin coated polystyrene beads (diameter: 1.87 μm) were also dispersed into the same buffer and injected into the microfluidic chamber. A 10 mM Tris buffer containing 100 mM KCl and 5 mM EDTA without Hg.sup.2+ was flowed in the top (buffer) channel. The same buffer containing Hg.sup.2+ without EDTA was injected in the bottom (target) channel. Two separate laser beams were used to trap two different types of beads (see above). By escorting one of the trapped beads closer to another using the steerable mirror, the DNA was tethered between the two trapped beads in the buffer channel. After the tethering, one of the trapped beads was moved away from another with a loading speed of ˜5.5 pN/s. This rate allowed us to collect significant amount of data in a reasonable timescale at a condition close to the unfolding equilibrium of a free DNA hairpin. An unfolding event was identified as a sudden change in the end-to-end distance during the force ramping. The unfolding force was measured directly from the F-X curves while the change-in-contour-length (ΔL) due to the unfolding was calculated by the data points flanking the rupture event using an extensible worm-like chain (WLC) model (Equation 1).sup.28,29.
where Δx is the change in extension between the data points of the stretching and relaxing curves at the same force (F), k.sub.B is the Boltzmann constant, T is absolute temperature, P is the persistent length (50.8±1.5 nm).sup.30, and S is the elastic stretch modulus (1243±63 pN).sup.30. The stochastic bi-state transition (or mechanoescence) of the hairpin was observed with a fixed tension in the DNA template (see
ΔL=L−Δx=N×L.sub.nt−Δx (2)
where N is the number of nucleotides contained in the structure, L.sub.nt is the contour length per nucleotide (˜0.45 nm).sup.31, and Axis the end-to-end distance (˜2 nm, the diameter dsDNA).sup.32.
[0049] While in accordance with the patent statutes, the best mode and preferred embodiment have been set forth, the scope of the invention is not limited thereto, but rather by the scope of the attached claims.
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