Identification of surface tension in mean curvature flow

Author

Insoon Yang ; Tomlin, Claire J.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, Berkeley, CA, USA

fYear

2013

fDate

17-19 June 2013

Firstpage

3284

Lastpage

3289

Abstract

We study a numerical method for identifying the surface tension in a level set-based mean curvature flow equation. A novel variational problem is formulated to determine the surface tension for which the model best matches a given set of data. An adjoint-based method allows us to compute the gradient of the cost functional of the variational problem with respect to the surface tension. We solve the variational problem using numerical optimization techniques based on this gradient. We demonstrate the effectiveness of the method using a biological example in which the surface tensions of bilayer membranes are determined based on images of vesicle-vesicle adhesion.

Keywords

adhesion; biological fluid dynamics; biomembranes; cellular biophysics; lipid bilayers; numerical analysis; optimisation; surface tension; variational techniques; adjoint-based method; bilayer membranes; level set-based mean curvature flow equation; numerical method; numerical optimization techniques; surface tension; variational problem; vesicle-vesicle adhesion; Biomembranes; Equations; Level set; Mathematical model; Optimization; Surface morphology; Surface tension;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2013

Conference_Location

Washington, DC

ISSN

0743-1619

Print_ISBN

978-1-4799-0177-7

Type

conf

DOI

10.1109/ACC.2013.6580338

Filename

6580338