Simulating the Arnaoutova-Kleinman Model of Tubular Formation at Angiogenesis Events Through Classical Electrodynamics

Abstract

The Arnaoutova-Kleinman model is simulated in an entire scenario of Classical Electrodynamics. For this end the 4-steps are considered: (i) The migration of endothelial cells, (ii) the random attachment among them, (iii) the apparition of bFGF proteins generating electrical and lines fields, and (iv) the tubule formation from these proteins. Simulations have shown that tubule formation as the one of the first phases of Angiogenesis would require large values of electric field and a fast adhesion of bFGF proteins to produce stable lines of electric field. On the other hand, tubular formation can also be stopped through external fields that might cancel the adhesion of proteins. Therefore prospective nano devices would play a relevant role to avoid first phases of tumor formation.