메뉴 건너뛰기




Volumn 58, Issue 1, 2008, Pages 122-132

Equilibrium theory in 2D Riemann manifold for heterogeneous biomembranes with arbitrary variational modes

Author keywords

Arbitrary variational mode; Differential operators; Equilibrium differential equations; Geometrically constraint equation; Heterogeneous biomembranes

Indexed keywords


EID: 37349070703     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2007.10.001     Document Type: Article
Times cited : (14)

References (13)
  • 1
    • 0004150063 scopus 로고    scopus 로고
    • Cambridge University Press, London
    • Boal D. Mechanics of the Cell (2002), Cambridge University Press, London
    • (2002) Mechanics of the Cell
    • Boal, D.1
  • 2
    • 4243232232 scopus 로고
    • Bending energy of vesicle membranes: General expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders
    • Ou-Yang Z.C., and Helfrich W. Bending energy of vesicle membranes: General expressions for the first, second, and third variation of the shape energy and applications to spheres and cylinders. Phys. Rev. A 39 (1989) 5280-5288
    • (1989) Phys. Rev. A , vol.39 , pp. 5280-5288
    • Ou-Yang, Z.C.1    Helfrich, W.2
  • 3
    • 0000333372 scopus 로고
    • Shape equations for axisymmetric vesicles: A clarification
    • Julicher F., and Seifert U. Shape equations for axisymmetric vesicles: A clarification. Phys. Rev. E 49 (1994) 4728-4731
    • (1994) Phys. Rev. E , vol.49 , pp. 4728-4731
    • Julicher, F.1    Seifert, U.2
  • 6
    • 10244222314 scopus 로고    scopus 로고
    • A geometric theory on the elasticity of bio-membranes
    • Tu Z.C., and Ou-Yang Z.C. A geometric theory on the elasticity of bio-membranes. J. Phys. A: Math. Gen. 37 (2004) 11407-11429
    • (2004) J. Phys. A: Math. Gen. , vol.37 , pp. 11407-11429
    • Tu, Z.C.1    Ou-Yang, Z.C.2
  • 7
    • 19744368318 scopus 로고    scopus 로고
    • Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes
    • Yin Y.J., et al. Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes. J. Biomech. 38 (2005) 1433-1440
    • (2005) J. Biomech. , vol.38 , pp. 1433-1440
    • Yin, Y.J.1
  • 8
    • 21444435894 scopus 로고    scopus 로고
    • Integral theorems based on a new gradient operator derived from biomembrane (part I): Fundamentals
    • Yin Y.J. Integral theorems based on a new gradient operator derived from biomembrane (part I): Fundamentals. Tsinghua Science and Technology 10 3 (2005) 372-375
    • (2005) Tsinghua Science and Technology , vol.10 , Issue.3 , pp. 372-375
    • Yin, Y.J.1
  • 9
    • 21444443511 scopus 로고    scopus 로고
    • Integral theorems based on a new gradient operator derived from biomembrane (part II): Applications
    • Yin Y.J. Integral theorems based on a new gradient operator derived from biomembrane (part II): Applications. Tsinghua Science and Technology 10 3 (2005) 376-380
    • (2005) Tsinghua Science and Technology , vol.10 , Issue.3 , pp. 376-380
    • Yin, Y.J.1
  • 10
    • 26444612695 scopus 로고    scopus 로고
    • General mathematical frame for open or closed biomembranes (part I): Equilibrium theory and geometrically constraint equation
    • Yin Y.J., Yin J., and Ni D. General mathematical frame for open or closed biomembranes (part I): Equilibrium theory and geometrically constraint equation. J. Math. Biol. 51 (2005) 403-413
    • (2005) J. Math. Biol. , vol.51 , pp. 403-413
    • Yin, Y.J.1    Yin, J.2    Ni, D.3
  • 11
    • 33645088663 scopus 로고
    • Preferred equilibrium structures of a smectic-A phase grown from an isotropic phase: Origin of focal conic domains
    • Naito H., et al. Preferred equilibrium structures of a smectic-A phase grown from an isotropic phase: Origin of focal conic domains. Phys. Rev. E 52 (1995) 2095-2098
    • (1995) Phys. Rev. E , vol.52 , pp. 2095-2098
    • Naito, H.1
  • 12
    • 6344241429 scopus 로고    scopus 로고
    • Geometrical constraint equations and geometrically permissible condition for vesicles
    • Yin Y.J., and Yin J. Geometrical constraint equations and geometrically permissible condition for vesicles. Chin. Phys. Lett. 21 10 (2004) 2057-2058
    • (2004) Chin. Phys. Lett. , vol.21 , Issue.10 , pp. 2057-2058
    • Yin, Y.J.1    Yin, J.2
  • 13
    • 0242331729 scopus 로고    scopus 로고
    • Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension
    • Baumgart T., Hess S.T., and Webb W.W. Imaging coexisting fluid domains in biomembrane models coupling curvature and line tension. Nature 425 (2003) 821-824
    • (2003) Nature , vol.425 , pp. 821-824
    • Baumgart, T.1    Hess, S.T.2    Webb, W.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.