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Volumn 186, Issue 1, 2007, Pages 891-897

The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix

Author keywords

Capillary formation; Method of lines; Numerical solution; Porousity; Tumor angiogenic factor

Indexed keywords

MATLAB; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; TUMORS;

EID: 33947201718     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.08.021     Document Type: Article
Times cited : (7)

References (7)
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    • Ahmad I., and Berzins M. MOL solvers for hyperbolic PDEs with source terms. Math. Comput. Simulat. 56 2 (2001) 115-125
    • (2001) Math. Comput. Simulat. , vol.56 , Issue.2 , pp. 115-125
    • Ahmad, I.1    Berzins, M.2
  • 2
    • 0347653143 scopus 로고    scopus 로고
    • Interactive solution of partial differential equations by the Method-of-lines
    • Korn G.A. Interactive solution of partial differential equations by the Method-of-lines. Math. Comput. Simulat. 49 1-2 (1999) 129-138
    • (1999) Math. Comput. Simulat. , vol.49 , Issue.1-2 , pp. 129-138
    • Korn, G.A.1
  • 3
    • 0034845581 scopus 로고    scopus 로고
    • Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
    • Levine H.A., Pamuk S., Sleeman B.D., and Nilsen-Hamilton M. Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma. Bull. Math. Biol. 63 5 (2001) 801-863
    • (2001) Bull. Math. Biol. , vol.63 , Issue.5 , pp. 801-863
    • Levine, H.A.1    Pamuk, S.2    Sleeman, B.D.3    Nilsen-Hamilton, M.4
  • 4
    • 38249033739 scopus 로고
    • On the validity and stability of the method of lines for the solution of partial differential equations
    • Mikhail M.N. On the validity and stability of the method of lines for the solution of partial differential equations. Appl. Math. Comput. 22 2-3 (1987) 89-98
    • (1987) Appl. Math. Comput. , vol.22 , Issue.2-3 , pp. 89-98
    • Mikhail, M.N.1
  • 5
    • 33947244456 scopus 로고    scopus 로고
    • S. Pamuk, A. Erdem, The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in the capillary, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.08.024.
  • 6
    • 1642348159 scopus 로고    scopus 로고
    • Steady-state analysis of a mathematical model for capillary network formation in the absence of tumor source
    • Pamuk S. Steady-state analysis of a mathematical model for capillary network formation in the absence of tumor source. Math. Biosci. 189 (2004) 21-38
    • (2004) Math. Biosci. , vol.189 , pp. 21-38
    • Pamuk, S.1
  • 7
    • 31144469340 scopus 로고    scopus 로고
    • A good spatial discretisation in the method of lines
    • Sharaf A.A., and Bakodah H.O. A good spatial discretisation in the method of lines. Appl. Math. Comput. 172 2 (2005) 1253-1263
    • (2005) Appl. Math. Comput. , vol.172 , Issue.2 , pp. 1253-1263
    • Sharaf, A.A.1    Bakodah, H.O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.