| [1] Yin, Y. J., Chen, Y. Q., Ni, D., Shi, H. J., and Fan, Q. S. Shape equations and curvature bifurcations induced by inhomogeneous rigidities in cell membranes. Journal of Biomechanics, 38, 1433-1440 (2005)
[2] Yin, Y. J., Yin, J., and Ni, D. General mathematical frame for open or closed biomembranes: equilibrium theory and geometrically constraint equation. Journal of Mathematical Biology, 51, 403-413 (2005)
[3] Yin, Y. J., Yin, J., and Lv, C. J. Equilibrium theory in 2D Riemann manifold for heterogeneous biomembranes with arbitrary variational modes. Journal of Geometry and Physics, 58, 122-132 (2008)
[4] Yin, Y. J. and Lv, C. J. Equilibrium theory and geometrical constraint equation for two-component lipid bilayer vesicles. Journal of Biological Physics, 34, 591-610 (2008)
[5] Yin, Y. J. andWu, J. Y. Shape gradient: a driving force induced by space curvatures. International Journal of Nonlinear Sciences and Numerical Simulation, 11, 259-267 (2010)
[6] Yin, Y. J., Chen, C., Lv, C. J., and Zheng, Q. S. Shape gradient and classical gradient of curva- tures: driving forces on micro/nano curved surfaces. Applied Mathematics and Mechanics (English Edition), 32(5), 533-550 (2011) DOI 10.1007/s10483-011-1436-6
[7] Yin, Y. J. Extension of covariant derivative (I): from component form to objective form. Acta Mechanica Sinica, 31, 79-87 (2015)
[8] Yin, Y. J. Extension of covariant derivative (II): from flat space to curved space. Acta Mechanica Sinica, 31, 88-95 (2015)
[9] Yin, Y. J. Extension of the covariant derivative (III): from classical gradient to shape gradient. Acta Mechanica Sinica, 31, 96-103 (2015)
[10] Ricci-Curbastro, G. Absolute differential calculus. Bulletin des Sciences Math matiques, 16, 167- 189 (1892)
[11] Ricci-Curbastro, G. and Levi-Civita, T. Methods of the absolute differential calculus and their applications. Mathematische Annalen, 54, 125-201 (1901)
[12] Huang, K. C., Xue, M. D., and Lu, M. W. Tensor Analysis, Tsinghua University Press, Beijing (2003) |
Email Alert
RSS