scholarly journals A free-boundary model of a motile cell explains turning behavior

2017 ◽  
Vol 13 (11) ◽  
pp. e1005862 ◽  
Author(s):  
Masoud Nickaeen ◽  
Igor L. Novak ◽  
Stephanie Pulford ◽  
Aaron Rumack ◽  
Jamie Brandon ◽  
...  
Keyword(s):  
Free Boundary ◽  
Motile Cell ◽  
Turning Behavior ◽  
Boundary Model

scholarly journals A free boundary model of epithelial dynamics

2019 ◽  
Vol 481 ◽  
pp. 61-74 ◽  
Author(s):  
Ruth E Baker ◽  
Andrew Parker ◽  
Matthew J Simpson
Keyword(s):  
Free Boundary ◽  
Boundary Model

Free-boundary model for local thermal coagulation

1996 ◽  
Author(s):  
Igor A. Lubashevsky ◽  
Alexander V. Priezzhev ◽  
Vasyl V. Gafiychuk ◽  
Meruzhan G. Cadjan
Keyword(s):  
Free Boundary ◽  
Thermal Coagulation ◽  
Boundary Model

Dynamic free-boundary model for laser thermal tissue coagulation

1996 ◽  
Author(s):  
Igor A. Lubashevsky ◽  
Alexander V. Priezzhev ◽  
V. V. Gafiychuk ◽  
Meruzhan G. Cadjan
Keyword(s):  
Free Boundary ◽  
Boundary Model

scholarly journals Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams

2002 ◽  
Vol 13 (1) ◽  
pp. 25-52 ◽  
Author(s):  
PAUL C. FIFE ◽  
XIAO-PING WANG
Keyword(s):  
Free Boundary ◽  
Grain Boundary ◽  
Extended Model ◽  
Forced Motion ◽  
Chemically Induced ◽  
Thin Film Model ◽  
Motion By Curvature ◽  
Boundary Model ◽  
Grain Boundary Motion ◽  
Boundary Dynamics

The free boundary model of diffusion-induced grain boundary motion derived in Cahn et al. [3], Fife et al. [6] and Cahn & Penrose [4] is extended, in the case of thin metallic films, to account for bidirectional motion, together with the appearance of S-shapes and double seam configurations. These are often observed in the laboratory. Computer simulations based on the extended model are given to illustrate these and other features of bidirectional motion. More generally, the extension accounts for the motion of grain boundaries whose traces on the film's surface are curved. The new free boundary model is one of forced motion by curvature, the forcing term possibly changing sign due to the bidirectionality. The thin film model is derived systematically under explicit assumptions, and an adjustment for grooving is included.

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