TY - JOUR
T1 - Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation
AU - Du, Q.
AU - Liu, C.
AU - Ryham, R.
AU - Wang, X.
PY - 2005/9
Y1 - 2005/9
N2 - In this paper, we study the effects of the spontaneous curvature on the static deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Generalizing the phase field models developed in our previous works, we deduce a new energy formula involving the spontaneous curvature effects. Several axis-symmetric configurations are obtained through numerical simulations. Some analysis on the effects of the spontaneous curvature on the vesicle membrane shapes are also provided.
AB - In this paper, we study the effects of the spontaneous curvature on the static deformation of a vesicle membrane under the elastic bending energy, with prescribed bulk volume and surface area. Generalizing the phase field models developed in our previous works, we deduce a new energy formula involving the spontaneous curvature effects. Several axis-symmetric configurations are obtained through numerical simulations. Some analysis on the effects of the spontaneous curvature on the vesicle membrane shapes are also provided.
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U2 - 10.3934/cpaa.2005.4.537
DO - 10.3934/cpaa.2005.4.537
M3 - Article
AN - SCOPUS:29144441852
SN - 1534-0392
VL - 4
SP - 537
EP - 548
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
IS - 3
ER -