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Volumn 212, Issue 2, 2005, Pages 432-451

The solvability of some chemotaxis systems

Author keywords

Chemotaxis; Quasi linear; Solvability

Indexed keywords


EID: 16844380747     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2005.01.002     Document Type: Article
Times cited : (23)

References (15)
  • 1
    • 0019188958 scopus 로고
    • Biased random walk models for chemotaxis and related diffusion approximations
    • W. Alt Biased random walk models for chemotaxis and related diffusion approximations J. Math. Biol. 9 1980 147-173
    • (1980) J. Math. Biol. , vol.9 , pp. 147-173
    • Alt, W.1
  • 2
    • 0019784884 scopus 로고
    • Nonlinear aspects of chemotaxis
    • S. Childress J.K. Percus Nonlinear aspects of chemotaxis Math. Biosci. 56 1981 217-237
    • (1981) Math. Biosci. , vol.56 , pp. 217-237
    • Childress, S.1    Percus, J.K.2
  • 4
    • 84966208077 scopus 로고
    • On explosions of solutions to a system of partial differential equations modelling chemotaxis
    • W. Jager S. Luckhaus On explosions of solutions to a system of partial differential equations modelling chemotaxis Trans. Amer. Math. Soc. 329 1992 819-824
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 819-824
    • Jager, W.1    Luckhaus, S.2
  • 5
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • E.F. Keller L.A. Segel Initiation of slime mold aggregation viewed as an instability J. Theoret. Biol. 26 1970 399-415
    • (1970) J. Theoret. Biol. , vol.26 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 8
    • 0031162898 scopus 로고    scopus 로고
    • A system of reaction diffusion equations arising in the theory of reinforced random walks
    • H.A. Levine B.D. Sleeman A system of reaction diffusion equations arising in the theory of reinforced random walks SIAM J. Appl. Math. 57 3 1997 683-730
    • (1997) SIAM J. Appl. Math. , vol.57 , Issue.3 , pp. 683-730
    • Levine, H.A.1    Sleeman, B.D.2
  • 9
    • 0033731143 scopus 로고    scopus 로고
    • A mathematical model for the roles of pericytes and macrophages in the onset of angiogenesis I the role of protease inhibitors in preventing angiogenesis
    • H.A. Levine B.D. Sleeman M. Nilsen-Hamilton A mathematical model for the roles of pericytes and macrophages in the onset of angiogenesis I the role of protease inhibitors in preventing angiogenesis Math. Biosci. 168 2000 77-115
    • (2000) Math. Biosci. , vol.168 , pp. 77-115
    • Levine, H.A.1    Sleeman, B.D.2    Nilsen-Hamilton, M.3
  • 10
    • 0035287283 scopus 로고    scopus 로고
    • Mathematical modeling of the onset of capillary formation initiating angiogenesis
    • H.A. Levine B.D. Sleeman M. Nilsen-Hamilton Mathematical modeling of the onset of capillary formation initiating angiogenesis J. Math. Biol. 42 3 2001 195-238
    • (2001) J. Math. Biol. , vol.42 , Issue.3 , pp. 195-238
    • Levine, H.A.1    Sleeman, B.D.2    Nilsen-Hamilton, M.3
  • 11
    • 0034845581 scopus 로고    scopus 로고
    • Mathematical modeling of capillary formation and development in tumor angiogenesis
    • H.A. Levine S. Pamuk B.D. Sleeman M. Nilsen-Hamilton Mathematical modeling of capillary formation and development in tumor angiogenesis penetration into the stroma Bull. Math. Biol. 63 2001 801-863
    • (2001) Bull. Math. Biol. , vol.63 , pp. 801-863
    • Levine, H.A.1    Pamuk, S.2    Sleeman, B.D.3    Nilsen-Hamilton, M.4
  • 12
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blow-up and collapse the ABC's of taxis and reinforced random walks
    • H.G. Othmer A. Stevens Aggregation, blow-up and collapse the ABC's of taxis and reinforced random walks SIAM J. Appl. Math. 57 1997 1044-1081
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 14
    • 0000715275 scopus 로고
    • Sur une équation intego-differentielle non lineaire issue de la biologie
    • M. Rascle Sur une équation intego-differentielle non lineaire issue de la biologie J. Differential Equations 32 1979 420-453
    • (1979) J. Differential Equations , vol.32 , pp. 420-453
    • Rascle, M.1
  • 15
    • 0035557011 scopus 로고    scopus 로고
    • On existence of global solutions and blow-up to a system of reaction-diffusion equations modeling chemotaxis
    • Yang Yin Chen Hua Liu Wei-An On existence of global solutions and blow-up to a system of reaction-diffusion equations modeling chemotaxis SIAM. J. Math. Anal. 33 4 2001 736-785
    • (2001) SIAM. J. Math. Anal. , vol.33 , Issue.4 , pp. 736-785
    • Yin, Y.1    Hua, C.2    Wei-An, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.