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  • 1
    Electronic Resource
    Electronic Resource
    Properties of solutions for a chemotaxis system (1997)
    Springer
    Journal of mathematical biology 35 (1997), S. 949-966 
    Details
    ISSN: 1432-1416
    Keywords: Key words: Chemotaxis ; Endothelial ; Angiogenesis ; Parabolic system
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract.  We investigate mathematically the system of equations proposed by Chaplain and Stuart [2], to describe the chemotactic response of endothelial cells under the angiogenesis stimulus. In particular, we characterize the steady state endothelial cell density function, and give conditions on the chemotactic parameter k and cell proliferation parameter b that ensure that migration/ proliferation either does or does not occur in steady state. The time dependent problem is also treated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002850050084
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