On the Qualitative Analysis of the Uniqueness of the Movement of Endothelial Cells

Authors : On the qualitative analysis of the uniqu Movement

Pages : 367-376

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper extends the work of Pamuk insert ignore into journalissuearticles values(2003); by showing mathematically that the movement of endothelial cells, to the regions where active enzyme is large or where fibronectin is small, is unique. To do this, we obtain the existence and uniqueness of the steady-state solution of an initial-boundary value problem which mathematically models endothelial cell movement in tumor angiogenesis. A specific example showing the instability of this steady-state solution is provided.
Keywords : Existence, uniqueness, tumor angiogenesis, steady state solution, transition probability density function