Mathematical model for transport of DNA plasmids from the external medium up to the nucleus by electroporation
Résumé
We propose a mathematical model for the DNA plasmids transport from the extracellular matrix up to the cell nucleus. The model couples two phenomena: the electroporation process, describing the cell membrane permeabilization to plasmids and the intracellular transport enhanced by the presence of microtubules. Numerical simulations of cells with arbitrary geometry and a network of microtubules show numerically the importance of the microtubules and the electroporation on the effectiveness of the DNA transfection, as observed by previous biological data.
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