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Behavior of radially symmetric solutions for a free boundary problem related to cell motility
1. | Meiji Institute of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525 |
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G. M. Lieberman, Second Order Parabolic Differential Equations, World. Scientific, Publishing Co., Inc., River Edge, N.J., 1996.
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H. Monobe, Behavior of solutions for a free boundary problem describing amoeba motion, Differential and Integral Equations, 25 (2012), 93-116. |
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H. Monobe and N. Hirokazu, Multiple existence of traveling waves of a free boundary problem describing cell motility, Discrete Contin. Dyn. Syst., 19 (2014), 789-799.
doi: 10.3934/dcdsb.2014.19.789. |
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T. Umeda, A chemo-mechanical model for amoeboid cell movement,, (in preparation)., ().
|
show all references
References:
[1] |
G. M. Lieberman, Second Order Parabolic Differential Equations, World. Scientific, Publishing Co., Inc., River Edge, N.J., 1996.
doi: 10.1142/3302. |
[2] |
A. Mogilner and B. Rubinstein et al, Actin-myosin viscoelastic flow in the keratocyte lamellipod, Bio. J., 97 (2009), 1853-1863. |
[3] |
A. Mogilner, J. Stajic and C. W. Wolgemuth, Redundant mechanisms for stable cell locomotion revealed by minimal models, Biophys J., 101 (2011), 545-553. |
[4] |
A. Mogilner and D. W. Verzi, A simple 1-D physical model for the crawling nematode sperm cell, J. Stat. Phys., 110 (2003), 1169-1189. |
[5] |
H. Monobe, Behavior of solutions for a free boundary problem describing amoeba motion, Differential and Integral Equations, 25 (2012), 93-116. |
[6] |
H. Monobe and N. Hirokazu, Multiple existence of traveling waves of a free boundary problem describing cell motility, Discrete Contin. Dyn. Syst., 19 (2014), 789-799.
doi: 10.3934/dcdsb.2014.19.789. |
[7] |
T. Umeda, A chemo-mechanical model for amoeboid cell movement,, (in preparation)., ().
|
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