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Volumn 168, Issue 1, 2003, Pages 35-82

Euler-Lagrange equations for nonlinearly elastic rods with self-contact

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EID: 0038576875     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0253-x     Document Type: Article
Times cited : (53)

References (32)
  • 5
    • 0033754160 scopus 로고    scopus 로고
    • Elastic stability of DNA configurations. II. Supercoiled plasmids with self-contact
    • COLEMAN, B.D., SWIGON, D., TOBIAS, I.: Elastic stability of DNA configurations. II. Supercoiled plasmids with self-contact. Physical Review E 61, 759-770 (2000)
    • (2000) Physical Review E , vol.61 , pp. 759-770
    • Coleman, B.D.1    Swigon, D.2    Tobias, I.3
  • 6
    • 0031555013 scopus 로고    scopus 로고
    • Comparison of hard-cylinder and screened Coulomb interactions in the modeling of supercoiled DNAs
    • DELROW, J.J., GEBE, J.A., SCHURR, J.M.: Comparison of hard-cylinder and screened Coulomb interactions in the modeling of supercoiled DNAs. Biopolymers 42, 455-470 (1997)
    • (1997) Biopolymers , vol.42 , pp. 455-470
    • Delrow, J.J.1    Gebe, J.A.2    Schurr, J.M.3
  • 7
    • 0003346795 scopus 로고
    • Measure theory and fine properties of functions
    • CRC Press Boca Raton
    • EVANS, L.C., GARIEPY, R.F.: Measure Theory and Fine Properties of Functions. Studies in Advanced Mathematics, CRC Press Boca Raton, 1992
    • (1992) Studies in Advanced Mathematics
    • Evans, L.C.1    Gariepy, R.F.2
  • 8
    • 0001931601 scopus 로고
    • On the Möbius energy of knots and unknots
    • FREEDMAN, M.H., HE, Z.-X., WANG, Z.: On the Möbius energy of knots and unknots. Annals Math. 139, 1-50 (1994)
    • (1994) Annals Math. , vol.139 , pp. 1-50
    • Freedman, M.H.1    He, Z.-X.2    Wang, Z.3
  • 9
    • 0033608997 scopus 로고    scopus 로고
    • Global curvature, thickness, and the ideal shape of knots
    • GONZALEZ, O., MADDOCKS, J.H.: Global curvature, thickness, and the ideal shape of knots. Proc. Natl Acad. Sci. USA 96, 4769-4773 (1999)
    • (1999) Proc. Natl Acad. Sci. USA , vol.96 , pp. 4769-4773
    • Gonzalez, O.1    Maddocks, J.H.2
  • 10
    • 0036461761 scopus 로고    scopus 로고
    • Global curvature and self-contact of nonlinearly elastic curves and rods
    • GONZALEZ, O., MADDOCKS, J.H., SCHURICHT, F., VON DER MOSEL, H.: Global curvature and self-contact of nonlinearly elastic curves and rods. Calc. Van 14, 29-68 (2002)
    • (2002) Calc. Van , vol.14 , pp. 29-68
    • Gonzalez, O.1    Maddocks, J.H.2    Schuricht, F.3    Von der Mosel, H.4
  • 15
    • 0008227410 scopus 로고
    • Helical growth of Bacillus subtilis: A new model of cell growth
    • MENDELSON, N.H.: Helical growth of Bacillus subtilis: a new model of cell growth. Proc. Natl Acad. Sci. USA 73, 1740-1744 (1976)
    • (1976) Proc. Natl Acad. Sci. USA , vol.73 , pp. 1740-1744
    • Mendelson, N.H.1
  • 16
    • 0012944111 scopus 로고
    • Energy of knots
    • A. STASIAK, V. KATRITCH, and L.H. KAUFFMAN, eds, World Scientific, Singapore
    • O'HARA, J.: Energy of knots. In: A. STASIAK, V. KATRITCH, and L.H. KAUFFMAN, eds, Ser. on Knots and Everything 19, World Scientific, Singapore (1988) 288-314
    • (1988) Ser. on Knots and Everything , vol.19 , pp. 288-314
    • O'Hara, J.1
  • 17
    • 0029066852 scopus 로고
    • Modeling superhelical DNA: Recent analytical and dynamic approaches
    • SCHLICK, T.: Modeling superhelical DNA: recent analytical and dynamic approaches. Current Opinion in Structural Biol. 5, 245-262 (1995)
    • (1995) Current Opinion in Structural Biol. , vol.5 , pp. 245-262
    • Schlick, T.1
  • 18
    • 0031261341 scopus 로고    scopus 로고
    • A variational approach to obstacle problems for shearable nonlinearly elastic rods
    • SCHURICHT, F.: A variational approach to obstacle problems for shearable nonlinearly elastic rods. Arch. Rational Mech. Anal. 140, 103-159 (1997)
    • (1997) Arch. Rational Mech. Anal. , vol.140 , pp. 103-159
    • Schuricht, F.1
  • 19
    • 0039988650 scopus 로고    scopus 로고
    • Regularity for shearable nonlinearly elastic rods in obstacle problems
    • SCHURICHT, F.: Regularity for shearable nonlinearly elastic rods in obstacle problems. Arch. Rational Mech. Anal. 145, 23-49 (1998)
    • (1998) Arch. Rational Mech. Anal. , vol.145 , pp. 23-49
    • Schuricht, F.1
  • 20
    • 0036977612 scopus 로고    scopus 로고
    • Variational approach to contact problems in nonlinear elasticity
    • SCHURICHT, F.: Variational approach to contact problems in nonlinear elasticity. Calc. Var. 15, 433-449 (2002)
    • (2002) Calc. Var. , vol.15 , pp. 433-449
    • Schuricht, F.1
  • 21
    • 0038621107 scopus 로고    scopus 로고
    • Global injectivity and topological constraints for spatial nonlinearly elastic rods
    • SCHURICHT, F.: Global injectivity and topological constraints for spatial nonlinearly elastic rods. J. Nonl. Science 12, 423-444 (2002)
    • (2002) J. Nonl. Science , vol.12 , pp. 423-444
    • Schuricht, F.1
  • 23
    • 0038644380 scopus 로고    scopus 로고
    • Global curvature for rectifiable loops
    • SCHURICHT, F., VON DER MOSEL, H.: Global curvature for rectifiable loops. Math. Z. 243, 37-77 (2003)
    • (2003) Math. Z. , vol.243 , pp. 37-77
    • Schuricht, F.1    Von der Mosel, H.2
  • 24
    • 1142269735 scopus 로고    scopus 로고
    • Characterization of ideal knots
    • Preprint, SFB 611 Univ. Bonn
    • SCHURICHT, F., VON DER MOSEL, H.: Characterization of ideal knots. Preprint 22 (2002) SFB 611 Univ. Bonn. To appear in Calc. Var.
    • (2002) Calc. Var. , vol.22
    • Schuricht, F.1    Von der Mosel, H.2
  • 25
    • 0013035532 scopus 로고    scopus 로고
    • Noeuds et ADN: Les noeuds de l'ADN éclairent la réplication
    • SCHVARTZMAN, J., SOGO, J., STASIAK, A.: Noeuds et ADN: Les noeuds de l'ADN éclairent la réplication. Pour la Science 259, 25-26 (1999)
    • (1999) Pour la Science , vol.259 , pp. 25-26
    • Schvartzman, J.1    Sogo, J.2    Stasiak, A.3
  • 29
    • 0034691422 scopus 로고    scopus 로고
    • Best packing in proteins and DNA
    • STASIAK, A., MADDOCKS, J.H.: Best packing in proteins and DNA, Nature 406, 251-253 (2000)
    • (2000) Nature , vol.406 , pp. 251-253
    • Stasiak, A.1    Maddocks, J.H.2
  • 30
    • 0012988940 scopus 로고    scopus 로고
    • Minimizing the elastic energy of knots
    • VON DER MOSEL, H.: Minimizing the elastic energy of knots. Asymptotic Anal. 18, 49-65 (1998)
    • (1998) Asymptotic Anal. , vol.18 , pp. 49-65
    • Von der Mosel, H.1
  • 31
    • 0022518195 scopus 로고
    • Biochemical topology: Applications to DNA recombination and replication
    • WASSERMAN, S.A., COZZARELLI, N.R.: Biochemical topology: applications to DNA recombination and replication. Science 232, 951-960 (1986)
    • (1986) Science , vol.232 , pp. 951-960
    • Wasserman, S.A.1    Cozzarelli, N.R.2
  • 32
    • 0031559721 scopus 로고    scopus 로고
    • Modelling self-contact forces in the elastic theory of DNA supercoiling
    • WESTCOTT, T.P., TOBIAS, I., OLSON, W.K.: Modelling self-contact forces in the elastic theory of DNA supercoiling. J. Chem. Phys. 107, 3967-3980 (1997)
    • (1997) J. Chem. Phys. , vol.107 , pp. 3967-3980
    • Westcott, T.P.1    Tobias, I.2    Olson, W.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.