메뉴 건너뛰기




Volumn 46, Issue 6, 2003, Pages 537-563

Bifurcation analysis of an orientational aggregation model

Author keywords

Actin; Bifurcation Analysis; Cytoskeleton; Mode Interaction; Orientational Aggregation; Power Series Expansion

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; MATHEMATICAL COMPUTING; MICROFILAMENT; PERIODICITY; PHYSIOLOGY; THEORETICAL MODEL;

EID: 1542751051     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00285-002-0187-1     Document Type: Article
Times cited : (12)

References (19)
  • 2
    • 0035348998 scopus 로고    scopus 로고
    • Spatio-temporal pattern formation on spherical surfaces: Numerical simulation and application to solid tumour growth
    • Chaplain, M.A.J., Ganesh, M., Graham, I.G.: Spatio-temporal pattern formation on spherical surfaces: Numerical simulation and application to solid tumour growth. J. Math. Biol. 42, 387-423 (2001)
    • (2001) J. Math. Biol. , vol.42 , pp. 387-423
    • Chaplain, M.A.J.1    Ganesh, M.2    Graham, I.G.3
  • 3
  • 4
    • 0031879289 scopus 로고    scopus 로고
    • A mathematical model for fibroblast and collagen orientation
    • Dallon, J.C., Sherrat, J.A.: A mathematical model for fibroblast and collagen orientation. Bull. Math. Biol. 60, 101-129 (1998)
    • (1998) Bull. Math. Biol. , vol.60 , pp. 101-129
    • Dallon, J.C.1    Sherrat, J.A.2
  • 5
    • 84954683140 scopus 로고
    • Steady-state mode interactions in the presence of O (2)-symmetry
    • Dangelmayr, G.: Steady-state mode interactions in the presence of O (2)-symmetry. Dyn. Stab. Sys. 1, 159-185 (1986)
    • (1986) Dyn. Stab. Sys. , vol.1 , pp. 159-185
    • Dangelmayr, G.1
  • 6
    • 0031715906 scopus 로고    scopus 로고
    • A mathematical approach to cytoskeletal assembly
    • Edelstein-Keshet, L.: A mathematical approach to cytoskeletal assembly. Eur. Biophys. J. 27, 521-531 (1998)
    • (1998) Eur. Biophys. J. , vol.27 , pp. 521-531
    • Edelstein-Keshet, L.1
  • 7
    • 0344211073 scopus 로고    scopus 로고
    • An integro-differential model for orientational distributions of F-actin in cells
    • Geigant, E., Ladizhansky, K., Mogilner, A.: An integro-differential model for orientational distributions of F-actin in cells. SIAM J. Appl. Math. 59, 787-809 (1999)
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 787-809
    • Geigant, E.1    Ladizhansky, K.2    Mogilner, A.3
  • 9
    • 58149360981 scopus 로고    scopus 로고
    • Stability analysis of a peak solution to an orientational aggregation model
    • Fiedler, B., Gröger, K., Sprekels, J.: (eds), (World Scientific 2000)
    • Geigant, E.: Stability analysis of a peak solution to an orientational aggregation model. In: Fiedler, B., Gröger, K., Sprekels, J.: (eds), Equadiff 99 (Vol. II): Proceedings of the International Conference on Differential Equations (World Scientific 2000) 1210-1216
    • Equadiff 99 (Vol. II): Proceedings of the International Conference on Differential Equations , vol.2 , pp. 1210-1216
    • Geigant, E.1
  • 12
    • 0028989481 scopus 로고
    • The dynamics of group formation
    • Gueron, S., Levin, S.A.: The dynamics of group formation. Math. Biosc. 128, 243-264 (1995)
    • (1995) Math. Biosc. , vol.128 , pp. 243-264
    • Gueron, S.1    Levin, S.A.2
  • 13
    • 0005519583 scopus 로고    scopus 로고
    • Reaction Transport Systems in Biological Modelling
    • Capasso, V., Diekmann, O.: (eds), Lecture Notes in Mathematics, Springer
    • Hadeler, K.P.: Reaction Transport Systems in Biological Modelling. In: Capasso, V., Diekmann, O.: (eds), Mathematics inspired by Biology, CIME Lectures 1997. Lecture Notes in Mathematics, (Springer 1998)
    • (1998) Mathematics Inspired by Biology, CIME Lectures 1997
    • Hadeler, K.P.1
  • 14
    • 0026932946 scopus 로고
    • On the distribution of dominance in populations of social organisms
    • Jäger, E., Segel, L.: On the distribution of dominance in populations of social organisms. SIAM J. Appl. Math. 52, 1444-1468 (1992)
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1444-1468
    • Jäger, E.1    Segel, L.2
  • 15
    • 0025661167 scopus 로고
    • Models for contact-mediated pattern formation
    • Edelstein-Keshet, L., Ermentrout, G.B.: Models for contact-mediated pattern formation. J. Math. Biol. 29, 33-58 (1990)
    • (1990) J. Math. Biol. , vol.29 , pp. 33-58
    • Edelstein-Keshet, L.1    Ermentrout, G.B.2
  • 16
    • 0001262652 scopus 로고
    • Selecting a common direction I: How orientational order can arise from simple contact responses between interacting cells
    • Mogilner, A., Edelstein-Keshet, L.: Selecting a common direction I: How orientational order can arise from simple contact responses between interacting cells. J. Math. Biol. 33, 619-660 (1995)
    • (1995) J. Math. Biol. , vol.33 , pp. 619-660
    • Mogilner, A.1    Edelstein-Keshet, L.2
  • 17
    • 0029681920 scopus 로고    scopus 로고
    • Selecting a common direction II: Peak-like solutions representing total alignment of cell clusters
    • Mogilner, A., Edelstein-Keshet, L., Ermentrout, G.B.: Selecting a common direction II: Peak-like solutions representing total alignment of cell clusters. J. Math. Biol. 34, 811-842 (1996)
    • (1996) J. Math. Biol. , vol.34 , pp. 811-842
    • Mogilner, A.1    Edelstein-Keshet, L.2    Ermentrout, G.B.3
  • 18
    • 0023746235 scopus 로고
    • Models of dispersal in biological systems
    • Othmer, H., Dunbar, S., Alt, W.: Models of dispersal in biological systems. J. Math. Biol. 26, 263-298 (1988)
    • (1988) J. Math. Biol. , vol.26 , pp. 263-298
    • Othmer, H.1    Dunbar, S.2    Alt, W.3
  • 19
    • 0011303719 scopus 로고
    • Simulation of the dynamics of myxobacteria swarms based on a one-dimensional interaction model
    • Pfistner, B.: Simulation of the dynamics of myxobacteria swarms based on a one-dimensional interaction model. J. Biol. Sys. 3(2), 579-588 (1995)
    • (1995) J. Biol. Sys. , vol.3 , Issue.2 , pp. 579-588
    • Pfistner, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.