139 related articles for article (PubMed ID: 17995299)
1. Continuous macroscopic limit of a discrete stochastic model for interaction of living cells.
Alber M; Chen N; Lushnikov PM; Newman SA
Phys Rev Lett; 2007 Oct; 99(16):168102. PubMed ID: 17995299
[TBL] [Abstract][Full Text] [Related]
2. Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description.
Alber M; Chen N; Glimm T; Lushnikov PM
Phys Rev E Stat Nonlin Soft Matter Phys; 2006 May; 73(5 Pt 1):051901. PubMed ID: 16802961
[TBL] [Abstract][Full Text] [Related]
3. Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact.
Lushnikov PM; Chen N; Alber M
Phys Rev E Stat Nonlin Soft Matter Phys; 2008 Dec; 78(6 Pt 1):061904. PubMed ID: 19256865
[TBL] [Abstract][Full Text] [Related]
4. Many-body theory of chemotactic cell-cell interactions.
Newman TJ; Grima R
Phys Rev E Stat Nonlin Soft Matter Phys; 2004 Nov; 70(5 Pt 1):051916. PubMed ID: 15600665
[TBL] [Abstract][Full Text] [Related]
5. Generalized Cahn-Hilliard equation for biological applications.
Khain E; Sander LM
Phys Rev E Stat Nonlin Soft Matter Phys; 2008 May; 77(5 Pt 1):051129. PubMed ID: 18643048
[TBL] [Abstract][Full Text] [Related]
6. Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models.
Champagnat N; Ferrière R; Méléard S
Theor Popul Biol; 2006 May; 69(3):297-321. PubMed ID: 16460772
[TBL] [Abstract][Full Text] [Related]
7. From a discrete to a continuous model of biological cell movement.
Turner S; Sherratt JA; Painter KJ; Savill NJ
Phys Rev E Stat Nonlin Soft Matter Phys; 2004 Feb; 69(2 Pt 1):021910. PubMed ID: 14995494
[TBL] [Abstract][Full Text] [Related]
8. Modeling tumor cell migration: From microscopic to macroscopic models.
Deroulers C; Aubert M; Badoual M; Grammaticos B
Phys Rev E Stat Nonlin Soft Matter Phys; 2009 Mar; 79(3 Pt 1):031917. PubMed ID: 19391981
[TBL] [Abstract][Full Text] [Related]
9. Fractional chemotaxis diffusion equations.
Langlands TA; Henry BI
Phys Rev E Stat Nonlin Soft Matter Phys; 2010 May; 81(5 Pt 1):051102. PubMed ID: 20866180
[TBL] [Abstract][Full Text] [Related]
10. Exclusion processes on a growing domain.
Binder BJ; Landman KA
J Theor Biol; 2009 Aug; 259(3):541-51. PubMed ID: 19427868
[TBL] [Abstract][Full Text] [Related]
11. Discrete and continuous models for tissue growth and shrinkage.
Yates CA
J Theor Biol; 2014 Jun; 350():37-48. PubMed ID: 24512915
[TBL] [Abstract][Full Text] [Related]
12. Gene regulatory networks: a coarse-grained, equation-free approach to multiscale computation.
Erban R; Kevrekidis IG; Adalsteinsson D; Elston TC
J Chem Phys; 2006 Feb; 124(8):084106. PubMed ID: 16512707
[TBL] [Abstract][Full Text] [Related]
13. Strong-coupling dynamics of a multicellular chemotactic system.
Grima R
Phys Rev Lett; 2005 Sep; 95(12):128103. PubMed ID: 16197116
[TBL] [Abstract][Full Text] [Related]
14. A principle of fractal-stochastic dualism and Gompertzian dynamics of growth and self-organization.
Waliszewski P
Biosystems; 2005 Oct; 82(1):61-73. PubMed ID: 16024163
[TBL] [Abstract][Full Text] [Related]
15. Fokker-Planck perspective on stochastic delay systems: exact solutions and data analysis of biological systems.
Frank TD; Beek PJ; Friedrich R
Phys Rev E Stat Nonlin Soft Matter Phys; 2003 Aug; 68(2 Pt 1):021912. PubMed ID: 14525011
[TBL] [Abstract][Full Text] [Related]
16. Computational study of the interplay of adhesion and chemotaxis in the cell seeding of tissue engineering scaffolds with incorporated chemoattractants.
Robu A; Stoicu-Tivadar L; Neagu A
Stud Health Technol Inform; 2013; 192():1141. PubMed ID: 23920915
[TBL] [Abstract][Full Text] [Related]
17. Adaptive hybrid simulations for multiscale stochastic reaction networks.
Hepp B; Gupta A; Khammash M
J Chem Phys; 2015 Jan; 142(3):034118. PubMed ID: 25612700
[TBL] [Abstract][Full Text] [Related]
18. Combinatoric analysis of heterogeneous stochastic self-assembly.
D'Orsogna MR; Zhao B; Berenji B; Chou T
J Chem Phys; 2013 Sep; 139(12):121918. PubMed ID: 24089730
[TBL] [Abstract][Full Text] [Related]
19. Weiss mean-field approximation for multicomponent stochastic spatially extended systems.
Kurushina SE; Maximov VV; Romanovskii YM
Phys Rev E Stat Nonlin Soft Matter Phys; 2014 Aug; 90(2):022135. PubMed ID: 25215716
[TBL] [Abstract][Full Text] [Related]
20. Combining cellular automata and Lattice Boltzmann method to model multiscale avascular tumor growth coupled with nutrient diffusion and immune competition.
Alemani D; Pappalardo F; Pennisi M; Motta S; Brusic V
J Immunol Methods; 2012 Feb; 376(1-2):55-68. PubMed ID: 22154892
[TBL] [Abstract][Full Text] [Related]
[Next] [New Search]