Exogenous control of vascular network formation in vitro: a mathematical model | Zendy

V. Lanza | Zendy; D. Ambrosi | Zendy; Luigi Preziosi | Zendy

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Exogenous control of vascular network formation in vitro: a mathematical model

Author(s) -

V. Lanza,

D. Ambrosi,

Luigi Preziosi

Publication year - 2006

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2006.1.621

Subject(s) - vascular network , regeneration (biology) , computer science , in vitro , tree (set theory) , nonlinear system , network formation , microbiology and biotechnology , control (management) , network model , biological system , biology , mathematics , physics , anatomy , artificial intelligence , biochemistry , mathematical analysis , quantum mechanics , world wide web

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.

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