메뉴 건너뛰기




Volumn 7, Issue 2, 2010, Pages 363-384

Mathematically modeling PCR: An asymptotic approximation with potential for optimization

Author keywords

Dynamical systems; Mathematical model; Method of multiple scales; Optimization; PCR; Polymerase chain reaction

Indexed keywords

COMPLEMENTARY DNA; PRIMER DNA; TAQ POLYMERASE;

EID: 77954645531     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2010.7.363     Document Type: Article
Times cited : (2)

References (17)
  • 1
    • 1842477277 scopus 로고    scopus 로고
    • Mathematical models of diffusion-constrained polymerase chain reactions: Basis of high-throughput nucleic acid assays and simple self-organizing systems
    • J. Aach and G. M. Church, Mathematical models of diffusion-constrained polymerase chain reactions: Basis of high-throughput nucleic acid assays and simple self-organizing systems, J. Theor. Biol., 228 (2004), 31-46.
    • (2004) J. Theor. Biol. , vol.228 , pp. 31-46
    • Aach, J.1    Church, G.M.2
  • 2
    • 27744483352 scopus 로고    scopus 로고
    • Mathematical model of real-time PCR kinetics
    • J. L. Gevertz, S. M. Dunn and C. M. Roth, Mathematical model of real-time PCR kinetics, Biotecnol. Bioeng., 92 (2005), 346-355.
    • (2005) Biotecnol. Bioeng. , vol.92 , pp. 346-355
    • Gevertz, J.L.1    Dunn, S.M.2    Roth, C.M.3
  • 4
    • 0142092731 scopus 로고    scopus 로고
    • Random variation and concentration effects in PCR
    • P. Jagers and F. Klebaner, Random variation and concentration effects in PCR, J. Theor. Biol., 224 (2003), 299-304.
    • (2003) J. Theor. Biol. , vol.224 , pp. 299-304
    • Jagers, P.1    Klebaner, F.2
  • 6
    • 33748451624 scopus 로고    scopus 로고
    • Estimation of the reaction efficiency in polymerase chain reaction
    • N. Lalam, Estimation of the reaction efficiency in polymerase chain reaction, J. Theor. Biol., 242 (2006), 947-953.
    • (2006) J. Theor. Biol. , vol.242 , pp. 947-953
    • Lalam, N.1
  • 7
    • 0036289137 scopus 로고    scopus 로고
    • Validation of a quantitative method for real time PCR kinetics
    • W. Liu and D. A. Saint, Validation of a quantitative method for real time PCR kinetics, Biochem. Biophys. Res. Commun., 294 (2002), 347-353.
    • (2002) Biochem. Biophys. Res. Commun. , vol.294 , pp. 347-353
    • Liu, W.1    Saint, D.A.2
  • 9
    • 0037435395 scopus 로고    scopus 로고
    • Assumption-free analysis of quantitative real-time polymerase chain reaction (PCR) data
    • C. Ramakers, J. M. Ruijter, R. H. Lekanne Deprez and A. F. M. Moorman, Assumption-free analysis of quantitative real-time polymerase chain reaction (PCR) data, Neuroscience Letters, 339 (2003), 62-66.
    • (2003) Neuroscience Letters , vol.339 , pp. 62-66
    • Ramakers, C.1    Ruijter J.M. R. H. Lekanne Deprez2    Moorman, A.F.M.3
  • 10
    • 16544384956 scopus 로고    scopus 로고
    • Sigmoidal curve-fitting redefines quantitative real-time PCR with the prospective of developing automated high-throughput applications
    • R. G. Rutledge, Sigmoidal curve-fitting redefines quantitative real-time PCR with the prospective of developing automated high-throughput applications, Nucleic Acids Res., 32 (2004), e178.
    • (2004) Nucleic Acids Res. , vol.32
    • Rutledge, R.G.1
  • 11
    • 0022372670 scopus 로고
    • Enzymatic amplification of beta-globin genomic sequences and restriction site analysis for diagnosis of sickle cell anemia
    • R. Saiki, S. Scharf, F. Faloona, K. Mullis, G. Horn and H. Erlich, Enzymatic amplification of beta-globin genomic sequences and restriction site analysis for diagnosis of sickle cell anemia, Science, 230 (1985), 1350-1354
    • (1985) Science , vol.230 , pp. 1350-1354
    • Saiki, R.1    Scharf, S.2    Faloona, F.3    Mullis, K.4    Horn, G.5    Erlich, H.6
  • 13
    • 0029868473 scopus 로고    scopus 로고
    • A mathematical analysis of in vitro molecular selection-amplification
    • F. Sun, D. Galas, and M. Waterman, A mathematical analysis of in vitro molecular selection-amplification, J. Mol. Biol., 258 (1996), 650-660.
    • (1996) J. Mol. Biol. , vol.258 , pp. 650-660
    • Sun, F.1    Galas, D.2    Waterman, M.3
  • 15
    • 0033592875 scopus 로고    scopus 로고
    • Polymerase chain reaction: A Markov process approach
    • M. Velikanov and R. Kapral, Polymerase chain reaction: A Markov process approach, J. Theor. Biol., 201 (1999), 239-249.
    • (1999) J. Theor. Biol. , vol.201 , pp. 239-249
    • Velikanov, M.1    Kapral, R.2
  • 16
    • 0029258947 scopus 로고
    • Modeling the polymerase chain reaction
    • G. Weiss and A. von Haeseler, Modeling the polymerase chain reaction, J. Comut. Biol., 2 (1995), 49-61.
    • (1995) J. Comut. Biol. , vol.2 , pp. 49-61
    • Weiss, G.1    Von Haeseler, A.2
  • 17
    • 0025965114 scopus 로고
    • Rapid cycle DNA amplification: Time and temperature optimization
    • C. Wittwer and D. Garling, Rapid Cycle DNA Amplification: Time and temperature optimization, BioTechniques, 10 (1991), 76-83.
    • (1991) BioTechniques , vol.10 , pp. 76-83
    • Wittwer, C.1    Garling, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.