NHM
Exogenous control of vascular network formation in vitro: a mathematical model
V. Lanza D. Ambrosi L. Preziosi
Networks & Heterogeneous Media 2006, 1(4): 621-637 doi: 10.3934/nhm.2006.1.621
The reconstitution of a proper and functional vascular network is a major issue in tissue engineering and regeneration. The limited success of current technologies may be related to the difficulties to build a vascular tree with correct geometric ratios for nutrient delivery. The present paper develops a mathematical model suggesting how an anisotropic vascular network can be built in vitro by using exogenous chemoattractant and chemorepellent. The formation of the network is strongly related to the nonlinear characteristics of the model.
keywords: Mathematical Modelling Tissue Engineering. Pattern Formation Vascularization

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