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September  2005, 4(3): 537-548. doi: 10.3934/cpaa.2005.4.537

Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation

Qiang Du 1, , Chun Liu 2, , R. Ryham 3, and  X. Wang 3,

1. 

Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
2. 

Department of Mathematics, The Pennsylvania State University, University Park, PA 16802
3. 

Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States, United States

Received  November 2004 Revised  April 2005 Published  June 2005

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.
Keywords: elastic bending energy, numerical simulation, solution branches., cell embrane, spontaneous curvature, Phase field.
Mathematics Subject Classification: 49Q10, 92B05, 74K1.
Citation: Qiang Du, Chun Liu, R. Ryham, X. Wang. Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation. Communications on Pure & Applied Analysis, 2005, 4 (3) : 537-548. doi: 10.3934/cpaa.2005.4.537
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