
Previous Article
Multiphase volumepreserving interface motions via localized signed distance vector scheme
 DCDSS Home
 This Issue

Next Article
A LotkaVolterra system with patch structure (related to a multigroup SI epidemic model)
Behavior of radially symmetric solutions for a free boundary problem related to cell motility
1.  Meiji Institute of Mathematical Sciences, Meiji University, 4211 Nakano, Nakanoku, Tokyo, 1648525 
References:
[1] 
G. M. Lieberman, Second Order Parabolic Differential Equations,, World. Scientific, (1996). doi: 10.1142/3302. 
[2] 
A. Mogilner and B. Rubinstein et al, Actinmyosin viscoelastic flow in the keratocyte lamellipod,, Bio. J., 97 (2009), 1853. 
[3] 
A. Mogilner, J. Stajic and C. W. Wolgemuth, Redundant mechanisms for stable cell locomotion revealed by minimal models,, Biophys J., 101 (2011), 545. 
[4] 
A. Mogilner and D. W. Verzi, A simple 1D physical model for the crawling nematode sperm cell,, J. Stat. Phys., 110 (2003), 1169. 
[5] 
H. Monobe, Behavior of solutions for a free boundary problem describing amoeba motion,, Differential and Integral Equations, 25 (2012), 93. 
[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. doi: 10.3934/dcdsb.2014.19.789. 
[7] 
T. Umeda, A chemomechanical model for amoeboid cell movement,, (in preparation)., (). 
show all references
References:
[1] 
G. M. Lieberman, Second Order Parabolic Differential Equations,, World. Scientific, (1996). doi: 10.1142/3302. 
[2] 
A. Mogilner and B. Rubinstein et al, Actinmyosin viscoelastic flow in the keratocyte lamellipod,, Bio. J., 97 (2009), 1853. 
[3] 
A. Mogilner, J. Stajic and C. W. Wolgemuth, Redundant mechanisms for stable cell locomotion revealed by minimal models,, Biophys J., 101 (2011), 545. 
[4] 
A. Mogilner and D. W. Verzi, A simple 1D physical model for the crawling nematode sperm cell,, J. Stat. Phys., 110 (2003), 1169. 
[5] 
H. Monobe, Behavior of solutions for a free boundary problem describing amoeba motion,, Differential and Integral Equations, 25 (2012), 93. 
[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. doi: 10.3934/dcdsb.2014.19.789. 
[7] 
T. Umeda, A chemomechanical model for amoeboid cell movement,, (in preparation)., (). 
[1] 
Avner Friedman. Free boundary problems arising in biology. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 193202. doi: 10.3934/dcdsb.2018013 
[2] 
Harunori Monobe, Hirokazu Ninomiya. Multiple existence of traveling waves of a free boundary problem describing cell motility. Discrete & Continuous Dynamical Systems  B, 2014, 19 (3) : 789799. doi: 10.3934/dcdsb.2014.19.789 
[3] 
Avner Friedman. Free boundary problems for systems of Stokes equations. Discrete & Continuous Dynamical Systems  B, 2016, 21 (5) : 14551468. doi: 10.3934/dcdsb.2016006 
[4] 
Serena Dipierro, Enrico Valdinoci. (Non)local and (non)linear free boundary problems. Discrete & Continuous Dynamical Systems  S, 2018, 11 (3) : 465476. doi: 10.3934/dcdss.2018025 
[5] 
Noriaki Yamazaki. Almost periodicity of solutions to free boundary problems. Conference Publications, 2001, 2001 (Special) : 386397. doi: 10.3934/proc.2001.2001.386 
[6] 
JianGuo Liu, Min Tang, Li Wang, Zhennan Zhou. Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 125. doi: 10.3934/dcdsb.2018297 
[7] 
Ugur G. Abdulla, Evan Cosgrove, Jonathan Goldfarb. On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems. Evolution Equations & Control Theory, 2017, 6 (3) : 319344. doi: 10.3934/eect.2017017 
[8] 
Daniela De Silva, Fausto Ferrari, Sandro Salsa. On two phase free boundary problems governed by elliptic equations with distributed sources. Discrete & Continuous Dynamical Systems  S, 2014, 7 (4) : 673693. doi: 10.3934/dcdss.2014.7.673 
[9] 
Huiqiang Jiang. Regularity of a vector valued two phase free boundary problems. Conference Publications, 2013, 2013 (special) : 365374. doi: 10.3934/proc.2013.2013.365 
[10] 
Jesús Ildefonso Díaz. On the free boundary for quenching type parabolic problems via local energy methods. Communications on Pure & Applied Analysis, 2014, 13 (5) : 17991814. doi: 10.3934/cpaa.2014.13.1799 
[11] 
Mingxin Wang. Existence and uniqueness of solutions of free boundary problems in heterogeneous environments. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 415421. doi: 10.3934/dcdsb.2018179 
[12] 
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences. Inverse Problems & Imaging, 2016, 10 (4) : 869898. doi: 10.3934/ipi.2016025 
[13] 
Noriaki Yamazaki. Doubly nonlinear evolution equations associated with ellipticparabolic free boundary problems. Conference Publications, 2005, 2005 (Special) : 920929. doi: 10.3934/proc.2005.2005.920 
[14] 
Pierangelo Ciurlia. On a general class of free boundary problems for Europeanstyle installment options with continuous payment plan. Communications on Pure & Applied Analysis, 2011, 10 (4) : 12051224. doi: 10.3934/cpaa.2011.10.1205 
[15] 
Joachim Escher, Christina Lienstromberg. A survey on second order free boundary value problems modelling MEMS with general permittivity profile. Discrete & Continuous Dynamical Systems  S, 2017, 10 (4) : 745771. doi: 10.3934/dcdss.2017038 
[16] 
Hayk Mikayelyan, Henrik Shahgholian. Convexity of the free boundary for an exterior free boundary problem involving the perimeter. Communications on Pure & Applied Analysis, 2013, 12 (3) : 14311443. doi: 10.3934/cpaa.2013.12.1431 
[17] 
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. I. Wellposedness and convergence of the method of lines. Inverse Problems & Imaging, 2013, 7 (2) : 307340. doi: 10.3934/ipi.2013.7.307 
[18] 
Toyohiko Aiki. A free boundary problem for an elastic material. Conference Publications, 2007, 2007 (Special) : 1017. doi: 10.3934/proc.2007.2007.10 
[19] 
Borys V. Bazaliy, Ya. B. Bazaliy, Avner Friedman, Bei Hu. Energy Considerations in a Model of Nematode Sperm Crawling. Mathematical Biosciences & Engineering, 2006, 3 (2) : 347370. doi: 10.3934/mbe.2006.3.347 
[20] 
Xinfu Chen, Huibin Cheng. Regularity of the free boundary for the American put option. Discrete & Continuous Dynamical Systems  B, 2012, 17 (6) : 17511759. doi: 10.3934/dcdsb.2012.17.1751 
2017 Impact Factor: 0.561
Tools
Metrics
Other articles
by authors
[Back to Top]