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Nucleic acid thermodynamics

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sequences containing mismatches; the number of DNA melting experiments needed to get reliable data for so many groups would be inconveniently high. However, other means exist to access thermodynamic parameters of nucleic acids: microarray technology allows hybridization monitoring of tens of thousands sequences in parallel. This data, in combination with molecular adsorption theory allows the determination of many thermodynamic parameters in a single experiment and to go beyond the nearest neighbor model. In general the predictions from the nearest neighbor method agree reasonably well with experimental results, but some unexpected outlying sequences, calling for further insights, do exist. Finally, we should also mention the increased accuracy provided by single molecule unzipping assays which provide a wealth of new insight into the thermodynamics of DNA hybridization and the validity of the nearest-neighbour model as well.
1133:°) are related to each other. From the observation of melting temperatures one can experimentally determine the thermodynamic parameters. Vice versa, and important for applications, when the thermodynamic parameters of a given nucleic acid sequence are known, the melting temperature can be predicted. It turns out that for oligonucleotides, these parameters can be well approximated by the nearest-neighbor model. 1986: 1972: 1935:
The nearest-neighbor model can be extended beyond the Watson-Crick pairs to include parameters for interactions between mismatches and neighboring base pairs. This allows the estimation of the thermodynamic parameters of sequences containing isolated mismatches, like e.g. (arrows indicating mismatch)
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values. Some formulas are more accurate in predicting melting temperatures of DNA duplexes. For DNA oligonucleotides, i.e. short sequences of DNA, the thermodynamics of hybridization can be accurately described as a two-state process. In this approximation one neglects the possibility of intermediate
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is used in laboratory practice. However, due to the different molecular geometries of the nucleotides, a single inconsistency between the two strands will make binding between them less energetically favorable. Measuring the effects of base incompatibility by quantifying the temperature at which two
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A more realistic way of modeling the behavior of nucleic acids would seem to be to have parameters that depend on the neighboring groups on both sides of a nucleotide, giving a table with entries like "TCG/AGC". However, this would involve around 32 groups for Watson-Crick pairing and even more for
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DNA denaturation can also be used to detect sequence differences between two different DNA sequences. DNA is heated and denatured into single-stranded state, and the mixture is cooled to allow strands to rehybridize. Hybrid molecules are formed between similar sequences and any differences between
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Except for the C/G initiation term, the first term represents the free energy of the first base pair, CG, in the absence of a nearest neighbor. The second term includes both the free energy of formation of the second base pair, GC, and stacking interaction between this base pair and the previous
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As mentioned, this equation is based on the assumption that only two states are involved in melting: the double stranded state and the random-coil state. However, nucleic acids may melt via several intermediate states. To account for such complicated behavior, the methods of
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partial binding states in the formation of a double strand state from two single stranded oligonucleotides. Under this assumption one can elegantly describe the thermodynamic parameters for forming double-stranded nucleic acid AB from single-stranded nucleic acids A and B.
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The process of DNA denaturation can be used to analyze some aspects of DNA. Because cytosine / guanine base-pairing is generally stronger than adenine / thymine base-pairing, the amount of cytosine and guanine in a genome is called its
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are important for determining the appropriate temperatures to use in a protocol. DNA melting temperatures can also be used as a proxy for equalizing the hybridization strengths of a set of molecules, e.g. the oligonucleotide probes of
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will bind to their complement under normal conditions, so two perfectly complementary strands will bind to each other readily. In order to reduce the diversity and obtain the most energetically preferred complexes, a technique called
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The parameters associated with the ten groups of neighbors shown in table 1 are determined from melting points of short oligonucleotide duplexes. It works out that only eight of the ten groups are independent.
1145:, the nearest-neighbor model treats a DNA helix as a string of interactions between 'neighboring' base pairs. So, for example, the DNA shown below has nearest-neighbor interactions indicated by the arrows. 183:. In the context of a single isolated region of DNA, denaturing gradient gels and temperature gradient gels can be used to detect the presence of small mismatches between two sequences, a process known as 2310:
Sponer, J; Sponer, JE; Mládek, A; Jurečka, P; Banáš, P; Otyepka, M (December 2013). "Nature and magnitude of aromatic base stacking in DNA and RNA: Quantum chemistry, molecular mechanics, and experiment".
1517: 658: 128:, also referred to as melting. In the absence of external negative factors, the processes of hybridization and melting may be repeated in succession indefinitely, which lays the ground for 1468: 155:. Both terms are used to refer to the process as it occurs when a mixture is heated, although "denaturation" can also refer to the separation of DNA strands induced by chemicals like 542: 437:
Stacking is the stabilizing interaction between the flat surfaces of adjacent bases. Stacking can happen with any face of the base, that is 5'-5', 3'-3', and vice versa.
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Owczarzy R.; Vallone P.M.; Gallo F.J.; Paner T.M.; Lane M.J.; Benight A.S (1997). "Predicting sequence-dependent melting stability of short duplex DNA oligomers".
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The interaction between bases on different strands depends somewhat on the neighboring bases. Instead of treating a DNA helix as a string of interactions between
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strands anneal can provide information as to the similarity in base sequence between the two strands being annealed. The complexes may be dissociated by thermal
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sequence. DNA, when in a state where its two strands are dissociated (i.e., the dsDNA molecule exists as two independent strands), is referred to as having been
2200:"Double-stranded cucumovirus associated RNA 5: experimental analysis of necrogenic and non-necrogenic variants by temperature-gradient gel electrophoresis" 946:° are usually given for the association and not the dissociation reaction (see the nearest-neighbor method for example). This formula then turns into: 1416:{\displaystyle \Delta G_{37}^{\circ }(\mathrm {total} )=\Delta G_{37}^{\circ }(\mathrm {initiations} )+\sum _{i=1}^{10}n_{i}\Delta G_{37}^{\circ }(i)} 679: 184: 2174: 2084: 1956:
These parameters have been fitted from melting experiments and an extension of Table 1 which includes mismatches can be found in literature.
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those sequences will result in a disruption of the base-pairing. On a genomic scale, the method has been used by researchers to estimate the
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and can be estimated by measuring the temperature at which the genomic DNA melts. Higher temperatures are associated with high GC content.
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Contribution of stacking to the free energy of the molecule can be experimentally estimated by observing the bent-stacked equilibrium in
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Methods of DNA analysis based on melting temperature have the disadvantage of being proxies for studying the underlying sequence;
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Nearest Neighbor Database: Provides a description of RNA-RNA interaction nearest neighbor parameters and examples of their use.
1633:{\displaystyle \Delta G^{\circ }(\mathrm {total} )=\Delta H_{\mathrm {total} }^{\circ }-T\Delta S_{\mathrm {total} }^{\circ }} 2890: 577: 2895: 1651:° have been determined for the ten possible pairs of interactions. These are given in Table 1, along with the value of Δ 3019: 3009: 1240:
base pair. The remaining terms are similarly defined. In general, the free energy of forming a nucleic acid duplex is
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C.G. Sibley; J.E. Ahlquist (1984). "The Phylogeny of the Hominoid Primates, as Indicated by DNA-DNA Hybridization".
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Protozanova E, Yakovchuk P, Frank-Kamenetskii MD (2004). "Stacked–Unstacked Equilibrium at the Nick Site of DNA".
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contributes and helps in formation of a helix. Stacking is the main stabilizing factor in the DNA double helix.
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represents the free energy associated with one of the ten possible the nearest-neighbor nucleotide pairs, and
2648:"The effects of mismatches on hybridization in DNA microarrays: Determination of nearest neighbor parameters" 2448: 1662:° for the DNA duplex shown above is calculated to be −22.4 kJ/mol. The experimental value is −21.8 kJ/mol. 2871: 3176: 3166: 3039: 3029: 2978: 2064:
Use of Ultraviolet Absorbance-Temperature Profile for Determining the Guanine plus Cytosine Content of DNA
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to allow proper hydrogen bonding to occur. The term annealing is often used to describe the binding of a
3047: 1110: 180: 144: 132:. Most commonly, the pairs of nucleic bases A=T and G≡C are formed, of which the latter is more stable. 269:) of reverse-complementary strands that were separated by heat (thermally denatured). Proteins such as 2780: 2565: 2411: 2109: 445: 441: 201:. Although the temperature of DNA melting is not diagnostic in the technique, methods for estimating 2611:
John SantaLucia Jr., John; Donald Hicks (June 2004). "The thermodynamics of DNA structural motifs".
486: 3108: 3077: 120: 2770: 2711: 2700:"Probing hybridization parameters from microarray experiments: Nearest-neighbor model and beyond" 2133: 928:{\displaystyle T_{m}={\frac {\Delta H^{\circ }}{\Delta S^{\circ }-R\ln {\frac {_{initial}}{2}}}}} 449: 152: 2880: 2843: 3014: 2986: 2808: 2739: 2677: 2628: 2593: 2554:"A unified view of polymer, dumbbell, and oligonucleotide DNA nearest-neighbor thermodynamics" 2526: 2491: 2439: 2380: 2328: 2267: 2229: 2180: 2170: 2158: 2152: 2125: 2080: 2021: 1991: 1732: 1705: 1678: 1090:{\displaystyle T_{m}={\frac {\Delta H^{\circ }}{\Delta S^{\circ }+R\ln(_{total}-_{total}/2)}}} 2858: 2624: 2351:"Base-stacking and base-pairing contributions into thermal stability of the DNA double helix" 3133: 2918: 2798: 2788: 2729: 2721: 2667: 2659: 2620: 2583: 2573: 2518: 2481: 2473: 2429: 2419: 2370: 2362: 2320: 2259: 2219: 2211: 2162: 2154:
Detection and Localization of Single Base Changes by Denaturing Gradient Gel Electrophoresis
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Huguet, J. M.; Bizarro, C. V.; Forns, N.; Smith, S. B.; Bustamante, C.; Ritort, F. (2010).
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https://web.archive.org/web/20080516194508/http://www.promega.com/biomath/calc11.htm#disc
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The process of DNA melting is also used in molecular biology techniques, notably in the
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is the kelvin temperature of the reaction. This gives, for the nucleic acid system,
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The previous paragraph shows how melting temperature and thermodynamic parameters (Δ
3161: 3118: 2137: 2026: 99: 91: 17: 2923: 778:{\displaystyle T_{m}=-{\frac {\Delta G^{\circ }}{R\ln {\frac {_{initial}}{2}}}}} 148: 53: 34: 1971: 3113: 2263: 1985: 1967: 674:. This gives an expression for the melting point of a nucleic acid duplex of 456: 242: 168: 64: 2759:"Single-molecule derivation of salt dependent base-pair free energies in DNA" 2477: 2215: 2793: 2424: 2016: 1142: 544:. According to the Van´t Hoff equation, the relation between free energy, Δ 254: 156: 102:
into a single complex, which in the case of two strands is referred to as a
52:) is defined as the temperature at which half of the DNA strands are in the 2812: 2743: 2681: 2632: 2578: 2384: 2332: 2271: 147:
unwinds and separates into single-stranded strands through the breaking of
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Table 1. Nearest-neighbor parameters for DNA/DNA duplexes in 1 M NaCl.
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can help DNA anneal. DNA strand annealing is a key step in pathways of
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Hadiwikarta, W. W.; Walter, J. C.; Hooyberghs, J.; Carlon, E. (2012).
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10.1002/(SICI)1097-0282(1997)44:3<217::AID-BIP3>3.0.CO;2-Y
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Breslauer, K.J.; Frank, R; Blöcker, H; Marky, LA; et al. (1986).
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Stacking in "free" nucleic acid molecules is mainly contributed by
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The free energy of forming this DNA from the individual strands, Δ
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must be used, which is especially relevant for long sequences.
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Estimating thermodynamic properties from nucleic acid sequence
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T. Po; G. Steger; V. Rosenbaum; J. Kaper; D. Riesner (1987).
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Yakovchuk, P; Protozanova, E; Frank-Kamenetskii, MD (2006).
2937: 265:. The term is also often used to describe the reformation ( 63:
depends on the length of the DNA molecule and its specific
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Study of how temperature affects the nucleic acid structure
2400:"Predicting DNA Duplex Stability from the Base Sequence" 2876:, melting profile, mismatches, free energy calculations 2613:
Annual Review of Biophysics and Biomolecular Structure
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Hooyberghs, J.; Van Hummelen, P.; Carlon, E. (2009).
1735: 1708: 1681: 1520: 1476: 1432: 1248: 954: 819: 682: 653:{\displaystyle \Delta G^{\circ }=-RT\ln {\frac {}{}}} 580: 489: 94:, sequence-specific interaction between two or more 3091: 3038: 2985: 2460:Rychlik, W.; Spencer, W. J.; Rhoads, R. E. (1990). 1744: 1717: 1690: 1632: 1489: 1462: 1415: 1089: 927: 777: 652: 536: 448:. For biological systems with water as a solvent, 2245: 2243: 2157:. Methods in Enzymology. Vol. 155. pp.  2067:. Methods in Enzymology. Vol. 12. pp.  285:is a major pathway of homologous recombination. 194:is generally considered a more accurate method. 90:Hybridization is the process of establishing a 2909:calculation using the Nearest-neighbour method 2344: 2342: 483:The equilibrium constant for this reaction is 294:Melting stability of base pair stacks (B DNA) 2963: 2547: 2545: 2543: 2151:R.M. Myers; T. Maniatis; L.S. Lerman (1987). 8: 2048:Tools and Techniques in Biomolecular Science 151:stacking attractions between the bases. See 2970: 2956: 2948: 2802: 2792: 2774: 2733: 2715: 2671: 2587: 2577: 2485: 2433: 2423: 2374: 2223: 1734: 1707: 1680: 1624: 1606: 1605: 1586: 1568: 1567: 1537: 1528: 1519: 1481: 1475: 1463:{\displaystyle \Delta G_{37}^{\circ }(i)} 1445: 1440: 1431: 1398: 1393: 1380: 1370: 1359: 1314: 1305: 1300: 1270: 1261: 1256: 1247: 1073: 1055: 1024: 993: 978: 968: 959: 953: 892: 876: 858: 843: 833: 824: 818: 742: 726: 709: 699: 687: 681: 612: 588: 579: 496: 488: 2625:10.1146/annurev.biophys.32.110601.141800 1664: 292: 185:temperature gradient gel electrophoresis 179:between two species, a process known as 2050:. Oxford University Press. p. 243. 2038: 1941:          ↓↓↓ 467:Several formulas are used to calculate 1497:represents its count in the sequence. 2693: 2691: 1169:°, is represented (at 37 °C) as 463:Thermodynamics of the two-state model 7: 283:synthesis-dependent strand annealing 2872:DNA thermodynamics calculations – T 568:is the ideal gas law constant, and 1736: 1709: 1682: 1619: 1616: 1613: 1610: 1607: 1598: 1581: 1578: 1575: 1572: 1569: 1560: 1550: 1547: 1544: 1541: 1538: 1521: 1433: 1386: 1345: 1342: 1339: 1336: 1333: 1330: 1327: 1324: 1321: 1318: 1315: 1293: 1283: 1280: 1277: 1274: 1271: 1249: 986: 971: 851: 836: 702: 581: 56:or single-stranded (ssDNA) state. 45:(dsDNA). The melting temperature ( 25: 2905:AnnHyb Open Source software for T 86:Hybridization (molecular biology) 1984: 1970: 2933:uMelt: Melting Curve Prediction 2102:Journal of Molecular Evolution 1554: 1534: 1457: 1451: 1410: 1404: 1349: 1311: 1287: 1267: 1081: 1052: 1045: 1021: 1014: 1011: 889: 879: 739: 729: 644: 635: 630: 624: 621: 615: 537:{\displaystyle K={\frac {}{}}} 528: 519: 514: 508: 505: 499: 1: 2914:Sigma-aldrich technical notes 2863:calculations in OligoAnalyzer 2061:M. Mandel; J. Marmur (1968). 2849:Resources in other libraries 2552:John SantaLucia Jr. (1998). 2167:10.1016/0076-6879(87)55033-9 2077:10.1016/0076-6879(67)12133-2 1914: 1900: 1886: 1872: 1858: 1844: 1830: 1816: 1802: 1788: 1774: 1760: 2867:Integrated DNA Technologies 1150:    ↓ ↓ ↓ ↓ ↓ 430: 420: 406: 392: 378: 368: 354: 340: 330: 316: 31:Nucleic acid thermodynamics 3198: 2835:Nucleic acid hybridization 2763:Proc. Natl. Acad. Sci. USA 2558:Proc. Natl. Acad. Sci. USA 2404:Proc. Natl. Acad. Sci. USA 2005:Primer (molecular biology) 1671:Nearest-neighbor sequence 241:to form a double-stranded 83: 3139:Nucleic acid double helix 2844:Resources in your library 2264:10.1016/j.jmb.2004.07.075 1915: 1901: 1887: 1873: 1859: 1845: 1831: 1817: 1803: 1789: 1775: 1761: 663:The melting temperature, 277:. In particular, during 263:polymerase chain reaction 261:to a DNA strand during a 199:polymerase chain reaction 130:polymerase chain reaction 71:by the high temperature. 1745:{\displaystyle \Delta G} 1718:{\displaystyle \Delta S} 1691:{\displaystyle \Delta H} 275:homologous recombination 3182:Biochemical engineering 2794:10.1073/pnas.1001454107 2425:10.1073/pnas.83.11.3746 1951:3' C-C-T-G-G-C-T-G-C 5' 1946:5' G-G-A-C-T-G-A-C-G 3' 1916:Terminal G/C base pair 1902:Terminal A/T base pair 1504:° term has enthalpic, Δ 1137:Nearest-neighbor method 227:complementary sequences 3040:Nucleic acid structure 2979:Biomolecular structure 2704:Nucleic Acids Research 2652:Nucleic Acids Research 2579:10.1073/pnas.95.4.1460 2478:10.1093/nar/18.21.6409 2355:Nucleic Acids Research 2216:10.1093/nar/15.13.5069 2204:Nucleic Acids Research 1746: 1719: 1692: 1634: 1491: 1464: 1417: 1375: 1091: 929: 779: 654: 538: 257:, or the binding of a 39:nucleic acid structure 2290:Nucleic acid database 2286:"Definition of terms" 2046:Divan, Royds (2013). 1747: 1720: 1693: 1635: 1492: 1490:{\displaystyle n_{i}} 1465: 1418: 1355: 1111:statistical mechanics 1092: 930: 780: 655: 539: 249:by an enzyme such as 181:DNA-DNA hybridization 145:deoxyribonucleic acid 2007:for calculations of 1733: 1706: 1679: 1518: 1474: 1430: 1246: 1188:(C/G initiation) + Δ 952: 817: 680: 578: 487: 442:intermolecular force 33:is the study of how 3109:Protein engineering 2919:Primer3 calculation 2785:2010PNAS..10715431H 2570:1998PNAS...95.1460S 2416:1986PNAS...83.3746B 2114:1984JMolE..20....2S 1667: 1629: 1591: 1450: 1403: 1310: 1266: 295: 229:of single-stranded 41:of double-stranded 18:Annealing (biology) 2726:10.1093/nar/gks475 2664:10.1093/nar/gkp109 2367:10.1093/nar/gkj454 2122:10.1007/BF02101980 1742: 1715: 1688: 1665: 1630: 1601: 1563: 1508:°, and entropic, Δ 1487: 1460: 1436: 1413: 1389: 1296: 1252: 1087: 925: 775: 650: 534: 450:hydrophobic effect 293: 153:Hydrophobic effect 3172:Molecular biology 3147: 3146: 2987:Protein structure 2830:Library resources 2472:(21): 6409–6412. 2466:Nucleic Acids Res 2410:(11): 3746–3750. 2325:10.1002/bip.22322 2210:(13): 5069–5083. 2176:978-0-12-182056-5 2086:978-0-12-181856-2 2022:Complementary DNA 1992:Technology portal 1929: 1928: 1236:(A/T initiation) 1160:3' G-C-A-A-C-T 5' 1155:5' C-G-T-T-G-A 3' 1085: 923: 920: 811:is also given by 773: 770: 648: 532: 435: 434: 16:(Redirected from 3189: 3134:Structural motif 2972: 2965: 2958: 2949: 2887:– by bioPHP.org. 2817: 2816: 2806: 2796: 2778: 2754: 2748: 2747: 2737: 2719: 2695: 2686: 2685: 2675: 2643: 2637: 2636: 2608: 2602: 2601: 2591: 2581: 2549: 2538: 2534: 2506: 2500: 2499: 2489: 2457: 2451: 2447: 2437: 2427: 2395: 2389: 2388: 2378: 2346: 2337: 2336: 2307: 2301: 2300: 2298: 2296: 2282: 2276: 2275: 2247: 2238: 2237: 2227: 2195: 2189: 2188: 2148: 2142: 2141: 2097: 2091: 2090: 2058: 2052: 2051: 2043: 1994: 1989: 1988: 1980: 1975: 1974: 1952: 1947: 1942: 1751: 1749: 1748: 1743: 1724: 1722: 1721: 1716: 1697: 1695: 1694: 1689: 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2550: 2541: 2508: 2507: 2503: 2459: 2458: 2454: 2397: 2396: 2392: 2348: 2347: 2340: 2309: 2308: 2304: 2294: 2292: 2284: 2283: 2279: 2249: 2248: 2241: 2197: 2196: 2192: 2177: 2150: 2149: 2145: 2099: 2098: 2094: 2087: 2060: 2059: 2055: 2045: 2044: 2040: 2035: 2012: 1990: 1983: 1976: 1969: 1966: 1950: 1945: 1940: 1756: 1755: 1731: 1730: 1726: 1704: 1703: 1699: 1677: 1676: 1672: 1661: 1524: 1516: 1515: 1477: 1472: 1471: 1428: 1427: 1376: 1244: 1243: 1235: 1227: 1219: 1211: 1203: 1195: 1187: 1180:(predicted) = Δ 1179: 1159: 1154: 1149: 1139: 1119: 1104: 1100: 1051: 1020: 989: 985: 974: 970: 955: 950: 949: 888: 878: 854: 850: 839: 835: 820: 815: 814: 810: 738: 728: 716: 705: 701: 683: 678: 677: 673: 669: 634: 614: 584: 576: 575: 518: 498: 485: 484: 472: 465: 306: 305: 291: 219: 211:DNA microarrays 206: 138: 88: 82: 77: 61: 50: 28: 23: 22: 15: 12: 11: 5: 3195: 3193: 3185: 3184: 3179: 3174: 3169: 3164: 3154: 3153: 3145: 3144: 3142: 3141: 3136: 3131: 3126: 3121: 3116: 3111: 3106: 3104:Protein domain 3101: 3095: 3093: 3089: 3088: 3086: 3085: 3083:Thermodynamics 3080: 3075: 3070: 3065: 3060: 3055: 3050: 3044: 3042: 3036: 3035: 3033: 3032: 3030:Thermodynamics 3027: 3022: 3017: 3012: 3007: 3002: 2997: 2991: 2989: 2983: 2982: 2977: 2975: 2974: 2967: 2960: 2952: 2946: 2945: 2940: 2935: 2930: 2928:Alexander Rich 2921: 2916: 2911: 2906: 2902: 2897: 2893: 2888: 2882: 2878: 2873: 2869: 2860: 2852: 2851: 2846: 2840: 2839: 2828: 2827: 2825: 2824:External links 2822: 2819: 2818: 2749: 2687: 2638: 2603: 2539: 2517:(3): 217–239. 2501: 2452: 2390: 2338: 2319:(12): 978–88. 2302: 2277: 2258:(3): 775–785. 2239: 2190: 2175: 2143: 2092: 2085: 2053: 2037: 2036: 2034: 2031: 2030: 2029: 2024: 2019: 2014: 2010: 2002: 1996: 1995: 1981: 1978:Biology portal 1965: 1962: 1954: 1953: 1948: 1943: 1927: 1926: 1923: 1920: 1917: 1913: 1912: 1909: 1906: 1903: 1899: 1898: 1895: 1892: 1889: 1885: 1884: 1881: 1878: 1875: 1871: 1870: 1867: 1864: 1861: 1857: 1856: 1853: 1850: 1847: 1843: 1842: 1839: 1836: 1833: 1829: 1828: 1825: 1822: 1819: 1815: 1814: 1811: 1808: 1805: 1801: 1800: 1797: 1794: 1791: 1787: 1786: 1783: 1780: 1777: 1773: 1772: 1769: 1766: 1763: 1759: 1758: 1753: 1741: 1738: 1728: 1714: 1711: 1701: 1687: 1684: 1674: 1673:(5'-3'/3'-5') 1659: 1627: 1621: 1618: 1615: 1612: 1609: 1604: 1600: 1597: 1594: 1589: 1583: 1580: 1577: 1574: 1571: 1566: 1562: 1559: 1556: 1552: 1549: 1546: 1543: 1540: 1536: 1531: 1527: 1523: 1484: 1480: 1459: 1456: 1453: 1448: 1443: 1439: 1435: 1412: 1409: 1406: 1401: 1396: 1392: 1388: 1383: 1379: 1373: 1368: 1365: 1362: 1358: 1354: 1351: 1347: 1344: 1341: 1338: 1335: 1332: 1329: 1326: 1323: 1320: 1317: 1313: 1308: 1303: 1299: 1295: 1292: 1289: 1285: 1282: 1279: 1276: 1273: 1269: 1264: 1259: 1255: 1251: 1233: 1225: 1217: 1209: 1201: 1193: 1185: 1177: 1163: 1162: 1157: 1152: 1138: 1135: 1118: 1115: 1102: 1098: 1083: 1080: 1076: 1070: 1067: 1064: 1061: 1058: 1054: 1050: 1047: 1044: 1039: 1036: 1033: 1030: 1027: 1023: 1019: 1016: 1013: 1010: 1007: 1004: 1001: 996: 992: 988: 981: 977: 973: 967: 962: 958: 919: 913: 910: 907: 904: 901: 898: 895: 891: 887: 884: 881: 875: 872: 869: 866: 861: 857: 853: 846: 842: 838: 832: 827: 823: 808: 769: 763: 760: 757: 754: 751: 748: 745: 741: 737: 734: 731: 725: 722: 719: 712: 708: 704: 698: 695: 690: 686: 671: 667: 646: 643: 640: 637: 632: 629: 626: 623: 620: 617: 611: 608: 605: 602: 599: 596: 591: 587: 583: 530: 527: 524: 521: 516: 513: 510: 507: 504: 501: 495: 492: 481: 480: 470: 464: 461: 433: 432: 429: 423: 422: 419: 409: 408: 405: 395: 394: 391: 381: 380: 377: 371: 370: 367: 357: 356: 353: 343: 342: 339: 333: 332: 329: 319: 318: 315: 309: 308: 303: 300: 290: 287: 247:phosphorylated 243:polynucleotide 239:hydrogen bonds 221:Annealing, in 218: 215: 204: 192:DNA sequencing 137: 134: 84:Main article: 81: 78: 76: 73: 59: 48: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3194: 3183: 3180: 3178: 3177:Biotechnology 3175: 3173: 3170: 3168: 3167:Nucleic acids 3165: 3163: 3160: 3159: 3157: 3150: 3140: 3137: 3135: 3132: 3130: 3127: 3125: 3122: 3120: 3117: 3115: 3112: 3110: 3107: 3105: 3102: 3100: 3097: 3096: 3094: 3090: 3084: 3081: 3079: 3076: 3074: 3071: 3069: 3068:Determination 3066: 3064: 3061: 3059: 3056: 3054: 3051: 3049: 3046: 3045: 3043: 3041: 3037: 3031: 3028: 3026: 3023: 3021: 3018: 3016: 3015:Determination 3013: 3011: 3008: 3006: 3003: 3001: 2998: 2996: 2993: 2992: 2990: 2988: 2984: 2980: 2973: 2968: 2966: 2961: 2959: 2954: 2953: 2950: 2944: 2941: 2939: 2936: 2934: 2931: 2929: 2925: 2922: 2920: 2917: 2915: 2912: 2910: 2903: 2901: 2894: 2892: 2889: 2886: 2879: 2877: 2870: 2868: 2864: 2857: 2856: 2850: 2847: 2845: 2842: 2841: 2836: 2831: 2823: 2814: 2810: 2805: 2800: 2795: 2790: 2786: 2782: 2777: 2772: 2768: 2764: 2760: 2753: 2750: 2745: 2741: 2736: 2731: 2727: 2723: 2718: 2713: 2709: 2705: 2701: 2694: 2692: 2688: 2683: 2679: 2674: 2669: 2665: 2661: 2657: 2653: 2649: 2642: 2639: 2634: 2630: 2626: 2622: 2618: 2614: 2607: 2604: 2599: 2595: 2590: 2585: 2580: 2575: 2571: 2567: 2564:(4): 1460–5. 2563: 2559: 2555: 2548: 2546: 2544: 2540: 2537: 2532: 2528: 2524: 2520: 2516: 2512: 2505: 2502: 2497: 2493: 2488: 2483: 2479: 2475: 2471: 2467: 2463: 2456: 2453: 2450: 2445: 2441: 2436: 2431: 2426: 2421: 2417: 2413: 2409: 2405: 2401: 2394: 2391: 2386: 2382: 2377: 2372: 2368: 2364: 2361:(2): 564–74. 2360: 2356: 2352: 2345: 2343: 2339: 2334: 2330: 2326: 2322: 2318: 2314: 2306: 2303: 2291: 2287: 2281: 2278: 2273: 2269: 2265: 2261: 2257: 2253: 2246: 2244: 2240: 2235: 2231: 2226: 2221: 2217: 2213: 2209: 2205: 2201: 2194: 2191: 2186: 2182: 2178: 2172: 2168: 2164: 2160: 2156: 2155: 2147: 2144: 2139: 2135: 2131: 2127: 2123: 2119: 2115: 2111: 2107: 2103: 2096: 2093: 2088: 2082: 2078: 2074: 2070: 2066: 2065: 2057: 2054: 2049: 2042: 2039: 2032: 2028: 2025: 2023: 2020: 2018: 2015: 2013: 2006: 2003: 2001: 2000:Melting point 1998: 1997: 1993: 1987: 1982: 1979: 1973: 1968: 1963: 1961: 1957: 1949: 1944: 1939: 1938: 1937: 1933: 1924: 1921: 1918: 1910: 1907: 1904: 1896: 1893: 1890: 1882: 1879: 1876: 1868: 1865: 1862: 1854: 1851: 1848: 1840: 1837: 1834: 1826: 1823: 1820: 1812: 1809: 1806: 1798: 1795: 1792: 1784: 1781: 1778: 1770: 1767: 1764: 1739: 1729: 1712: 1702: 1685: 1675: 1670: 1669: 1663: 1658: 1654: 1650: 1646: 1641: 1625: 1602: 1595: 1592: 1587: 1564: 1557: 1529: 1525: 1513: 1511: 1507: 1503: 1498: 1482: 1478: 1454: 1446: 1441: 1437: 1424: 1407: 1399: 1394: 1390: 1381: 1377: 1371: 1366: 1363: 1360: 1356: 1352: 1306: 1301: 1297: 1290: 1262: 1257: 1253: 1241: 1237: 1231: 1223: 1215: 1207: 1199: 1191: 1183: 1175: 1170: 1168: 1158: 1153: 1148: 1147: 1146: 1144: 1136: 1134: 1132: 1128: 1124: 1116: 1114: 1112: 1106: 1078: 1074: 1068: 1065: 1062: 1059: 1056: 1048: 1042: 1037: 1034: 1031: 1028: 1025: 1017: 1008: 1005: 1002: 999: 994: 990: 979: 975: 965: 960: 956: 947: 945: 941: 936: 917: 911: 908: 905: 902: 899: 896: 893: 885: 882: 873: 870: 867: 864: 859: 855: 844: 840: 830: 825: 821: 812: 807: 803: 799: 795: 791: 786: 767: 761: 758: 755: 752: 749: 746: 743: 735: 732: 723: 720: 717: 710: 706: 696: 693: 688: 684: 675: 666: 661: 641: 638: 627: 618: 609: 606: 603: 600: 597: 594: 589: 585: 573: 571: 567: 563: 559: 555: 551: 547: 525: 522: 511: 502: 493: 490: 478: 477: 476: 473: 462: 460: 458: 453: 451: 447: 443: 438: 428: 425: 424: 418: 414: 411: 410: 404: 400: 397: 396: 390: 386: 383: 382: 376: 373: 372: 366: 362: 359: 358: 352: 348: 345: 344: 338: 335: 334: 328: 324: 321: 320: 314: 311: 310: 301: 298: 297: 288: 286: 284: 280: 276: 272: 268: 264: 260: 256: 252: 248: 244: 240: 236: 232: 228: 224: 216: 214: 212: 207: 200: 195: 193: 188: 186: 182: 178: 172: 170: 164: 162: 158: 154: 150: 146: 142: 135: 133: 131: 127: 122: 117: 113: 109: 105: 101: 100:nucleic acids 97: 96:complementary 93: 87: 80:Hybridization 79: 74: 72: 70: 66: 62: 55: 51: 44: 40: 36: 32: 19: 3149: 3119:Nucleic acid 3082: 2896:Invitrogen T 2834: 2766: 2762: 2752: 2710:(18): e138. 2707: 2703: 2655: 2651: 2641: 2616: 2612: 2606: 2561: 2557: 2514: 2510: 2504: 2469: 2465: 2455: 2407: 2403: 2393: 2358: 2354: 2316: 2312: 2305: 2293:. Retrieved 2289: 2280: 2255: 2251: 2207: 2203: 2193: 2153: 2146: 2105: 2101: 2095: 2063: 2056: 2047: 2041: 2027:Western blot 2008: 1958: 1955: 1934: 1930: 1656: 1652: 1648: 1644: 1642: 1514: 1509: 1505: 1501: 1499: 1425: 1242: 1238: 1229: 1221: 1213: 1205: 1197: 1189: 1181: 1173: 1171: 1166: 1164: 1140: 1130: 1126: 1122: 1120: 1107: 948: 943: 939: 937: 813: 805: 801: 797: 793: 789: 787: 676: 664: 662: 574: 569: 565: 561: 557: 553: 549: 545: 482: 468: 466: 454: 439: 436: 426: 416: 412: 402: 398: 388: 384: 374: 364: 360: 350: 346: 336: 326: 322: 312: 267:renaturation 225:, means for 220: 202: 196: 189: 173: 165: 139: 136:Denaturation 126:denaturation 92:non-covalent 89: 57: 46: 37:affects the 30: 29: 2900:calculation 2885:calculation 2619:: 415–440. 2511:Biopolymers 2313:Biopolymers 2108:(1): 2–15. 1643:Values of Δ 1228:(GA/CT) + Δ 1220:(TG/AC) + Δ 1212:(TT/AA) + Δ 1204:(GT/CA) + Δ 1196:(CG/GC) + Δ 938:The terms Δ 446:pi stacking 307:(Kcal/mol) 302:Melting ΔG° 237:to pair by 149:hydrophobic 98:strands of 54:random coil 35:temperature 3156:Categories 3114:Proteasome 3073:Prediction 3063:Quaternary 3020:Prediction 3010:Quaternary 2658:(7): e53. 2252:J Mol Biol 2033:References 1727:J/(mol·K) 1143:base pairs 479:AB ↔ A + B 457:nicked DNA 169:GC-content 65:nucleotide 3053:Secondary 3000:Secondary 2776:1010.1188 2717:1211.1303 2017:Base pair 1737:Δ 1710:Δ 1683:Δ 1626:∘ 1599:Δ 1593:− 1588:∘ 1561:Δ 1530:∘ 1522:Δ 1447:∘ 1434:Δ 1400:∘ 1387:Δ 1357:∑ 1307:∘ 1294:Δ 1263:∘ 1250:Δ 1129:° & Δ 1043:− 1009:⁡ 995:∘ 987:Δ 980:∘ 972:Δ 874:⁡ 865:− 860:∘ 852:Δ 845:∘ 837:Δ 788:Because Δ 724:⁡ 711:∘ 703:Δ 697:− 610:⁡ 598:− 590:∘ 582:Δ 255:DNA probe 217:Annealing 157:formamide 121:annealing 69:denatured 3092:See also 3058:Tertiary 3005:Tertiary 2813:20716688 2744:22661582 2682:19270064 2633:15139820 2385:16449200 2333:23784745 2272:15342236 1964:See also 1097:, where 564:, where 289:Stacking 223:genetics 75:Concepts 3099:Protein 3048:Primary 2995:Primary 2938:Tm Tool 2804:2932562 2781:Bibcode 2735:3467032 2673:2673445 2598:9465037 2566:Bibcode 2531:9591477 2496:2243783 2444:3459152 2412:Bibcode 2376:1360284 2295:4 April 2234:3601667 2185:3431470 2159:501–527 2138:6658046 2130:6429338 2110:Bibcode 2069:198–206 1757:kJ/mol 1700:kJ/mol 1647:° and Δ 942:° and Δ 672:initial 279:meiosis 3078:Design 3025:Design 2832:about 2811:  2801:  2742:  2732:  2680:  2670:  2631:  2596:  2586:  2529:  2494:  2487:332522 2484:  2442:  2435:323600 2432:  2383:  2373:  2331:  2270:  2232:  2225:305948 2222:  2183:  2173:  2136:  2128:  2083:  1897:−7.66 1888:GG/CC 1883:−9.36 1880:−102.1 1874:GC/CG 1869:−9.07 1866:−113.8 1860:CG/GC 1855:−5.51 1846:GA/CT 1841:−5.40 1832:CT/GA 1827:−6.09 1818:GT/CA 1813:−6.12 1804:CA/GT 1799:−2.50 1790:TA/AT 1785:−3.67 1776:AT/TA 1771:−4.26 1762:AA/TT 1500:Each Δ 1426:where 1125:° or Δ 548:, and 431:-2.70 421:-2.04 407:-1.97 393:-1.66 379:-1.27 369:-1.04 355:-1.29 341:-1.44 331:-0.78 317:-0.12 259:primer 251:kinase 104:duplex 2771:arXiv 2712:arXiv 2589:19045 2536:(pdf) 2449:(pdf) 2134:S2CID 1925:4.05 1922:−11.7 1911:4.31 1894:−83.3 1891:−33.5 1877:−41.0 1863:−44.4 1852:−92.9 1849:−34.3 1838:−87.9 1835:−32.6 1824:−93.7 1821:−35.1 1810:−95.0 1807:−35.6 1796:−89.1 1793:−30.1 1782:−85.4 1779:−30.1 1768:−92.9 1765:−33.1 1103:total 1099:total 792:° = Δ 299:Step 271:RAD52 114:, or 2809:PMID 2740:PMID 2678:PMID 2629:PMID 2594:PMID 2527:PMID 2492:PMID 2440:PMID 2381:PMID 2329:PMID 2297:2019 2268:PMID 2230:PMID 2181:PMID 2171:ISBN 2126:PMID 2081:ISBN 1908:17.2 552:is Δ 161:urea 3162:DNA 3129:RNA 3124:DNA 2926:by 2799:PMC 2789:doi 2767:107 2730:PMC 2722:doi 2668:PMC 2660:doi 2621:doi 2584:PMC 2574:doi 2519:doi 2482:PMC 2474:doi 2430:PMC 2420:doi 2371:PMC 2363:doi 2321:doi 2260:doi 2256:342 2220:PMC 2212:doi 2163:doi 2118:doi 2073:doi 1919:0.4 1905:9.6 804:°, 796:° - 560:ln 556:= - 427:G C 417:G T 415:or 413:A C 403:G G 401:or 399:C C 389:T C 387:or 385:G A 375:A T 365:T T 363:or 361:A A 351:C T 349:or 347:A G 337:C G 327:C A 325:or 323:T G 313:T A 235:RNA 233:or 231:DNA 159:or 116:RNA 112:DNA 43:DNA 3158:: 2865:– 2807:. 2797:. 2787:. 2779:. 2765:. 2761:. 2738:. 2728:. 2720:. 2708:40 2706:. 2702:. 2690:^ 2676:. 2666:. 2656:37 2654:. 2650:. 2627:. 2617:33 2615:. 2592:. 2582:. 2572:. 2562:95 2560:. 2556:. 2542:^ 2525:. 2515:44 2513:. 2490:. 2480:. 2470:18 2468:. 2464:. 2438:. 2428:. 2418:. 2408:83 2406:. 2402:. 2379:. 2369:. 2359:34 2357:. 2353:. 2341:^ 2327:. 2317:99 2315:. 2288:. 2266:. 2254:. 2242:^ 2228:. 2218:. 2208:15 2206:. 2202:. 2179:. 2169:. 2161:. 2132:. 2124:. 2116:. 2106:20 2104:. 2079:. 2071:. 1754:37 1725:° 1698:° 1660:37 1640:. 1442:37 1423:, 1395:37 1372:10 1302:37 1258:37 1234:37 1226:37 1218:37 1210:37 1202:37 1194:37 1186:37 1178:37 1105:. 1101:≤ 1006:ln 935:. 871:ln 785:. 721:ln 660:. 607:ln 558:RT 554:G° 304:37 281:, 213:. 187:. 163:. 110:, 106:. 2971:e 2964:t 2957:v 2907:m 2898:m 2883:m 2881:T 2874:m 2861:m 2859:T 2815:. 2791:: 2783:: 2773:: 2746:. 2724:: 2714:: 2684:. 2662:: 2635:. 2623:: 2600:. 2576:: 2568:: 2533:. 2521:: 2498:. 2476:: 2446:. 2422:: 2414:: 2387:. 2365:: 2335:. 2323:: 2299:. 2274:. 2262:: 2236:. 2214:: 2187:. 2165:: 2140:. 2120:: 2112:: 2089:. 2075:: 2011:m 2009:T 1752:° 1740:G 1713:S 1686:H 1657:G 1653:G 1649:S 1645:H 1620:l 1617:a 1614:t 1611:o 1608:t 1603:S 1596:T 1582:l 1579:a 1576:t 1573:o 1570:t 1565:H 1558:= 1555:) 1551:l 1548:a 1545:t 1542:o 1539:t 1535:( 1526:G 1510:S 1506:H 1502:G 1483:i 1479:n 1458:) 1455:i 1452:( 1438:G 1411:) 1408:i 1405:( 1391:G 1382:i 1378:n 1367:1 1364:= 1361:i 1353:+ 1350:) 1346:s 1343:n 1340:o 1337:i 1334:t 1331:a 1328:i 1325:t 1322:i 1319:n 1316:i 1312:( 1298:G 1291:= 1288:) 1284:l 1281:a 1278:t 1275:o 1272:t 1268:( 1254:G 1232:° 1230:G 1224:° 1222:G 1216:° 1214:G 1208:° 1206:G 1200:° 1198:G 1192:° 1190:G 1184:° 1182:G 1176:° 1174:G 1172:Δ 1167:G 1131:S 1127:H 1123:G 1082:) 1079:2 1075:/ 1069:l 1066:a 1063:t 1060:o 1057:t 1053:] 1049:B 1046:[ 1038:l 1035:a 1032:t 1029:o 1026:t 1022:] 1018:A 1015:[ 1012:( 1003:R 1000:+ 991:S 976:H 966:= 961:m 957:T 944:S 940:H 918:2 912:l 909:a 906:i 903:t 900:i 897:n 894:i 890:] 886:B 883:A 880:[ 868:R 856:S 841:H 831:= 826:m 822:T 809:m 806:T 802:S 800:Δ 798:T 794:H 790:G 768:2 762:l 759:a 756:i 753:t 750:i 747:n 744:i 740:] 736:B 733:A 730:[ 718:R 707:G 694:= 689:m 685:T 668:m 665:T 645:] 642:B 639:A 636:[ 631:] 628:B 625:[ 622:] 619:A 616:[ 604:T 601:R 595:= 586:G 570:T 566:R 562:K 550:K 546:G 529:] 526:B 523:A 520:[ 515:] 512:B 509:[ 506:] 503:A 500:[ 494:= 491:K 471:m 469:T 205:m 203:T 60:m 58:T 49:m 47:T 20:)

Index

Annealing (biology)
temperature
nucleic acid structure
DNA
random coil
nucleotide
denatured
Hybridization (molecular biology)
non-covalent
complementary
nucleic acids
duplex
Oligonucleotides
DNA
RNA
annealing
denaturation
polymerase chain reaction
DNA denaturation
deoxyribonucleic acid
hydrophobic
Hydrophobic effect
formamide
urea
GC-content
genetic distance
DNA-DNA hybridization
temperature gradient gel electrophoresis
DNA sequencing
polymerase chain reaction

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