On aggregation in CA models in biology

Journal of Physics A: Mathematical and General

Volumn 34, Issue 48, 2001, Pages 10707-10714

  Alber, Mark S ^a,b   Kiskowski, Audi ^b  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035824496     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/48/332     Document Type: Article

References (14)

1. Alber M S, Camassa R, Fedorov Y, Holm D D and Marsden J E 2001 The complex geometry of weak piecewise smooth solutions of integrable nonlinear pde's of shallow water and dym type Commun. Math. Phys. 221 197-227
2. Besseau L and Giraud-Guille M M 1995 Stabilization of fluid cholesteric phases of collagen to ordered gelated matrices J. Mol. Biol. 251 137-45
3. Cook J 1995 Waves of alignment in populations of interacting, oriented individuals Forma 10 171-203
4. Cook J, Deutsch A and Mogilner A 1997 Models for spatio-angular self-organization in cell biology Dynamics of Cell and Tissue Motion ed W Alt, A Deutsch and G Dunn (Basel: Birkhäuser) pp 174-82
5. Dallon J C and Sherratt J A 2000 A mathematical model for spatially varying extracellular matrix alignment SIAM J. Appl. Math. 61 506-27
6. Deutsch A 1999a Principles of morphogenetic motion: swarming and aggregation viewed as self-organization phenomena J. Biosci. 24 115-20
7. Deutsch A 1999b Probabilistic lattice models of collective motion and aggregation: from individual to collective dynamics Math. Biosci. 156 255-69
8. Geigant E, Ladizhansky K and Mogilner A 1998 An integrodifferential model for orientational distributions of F-actin in cells SIAM J. Appl. Math. 59 789-809
9. Graner F and Glazier J 1992 Simulation of biological cell sorting using a two-dimensional extended potts model Phys. Rev. Lett. 69 2013-16
10. Kim S K and Kaiser D 1990 Cell alignment in differentiation of myxococcus xanthus Science 249 926-8
11. Mogilner A and Edelstein-Keshet L 1996 Spatio-angular order in populations of self-aligning objects: formation of oriented patches Physica D 89 346-67
12. Mogilner A, Edelstein-Keshet L and Ermentrout G B 1996 Selecting a common direction. II. Peak-like solutions representing total alignment of cell clusters J. Math. Biol. 34 811-42
13. Mogilner A and Edelstein-Keshet L 1999 A non-local model for a swarm J. Math. Biol. 38 534-70
14. Pollard T D and Cooper J A 1986 Actin and actin-binding proteins. A critical evaluation of mechanisms and function Ann. Rev. Biochem. 55 987-1035