Mathematical Models of Mass Transfer in Tissue for Molecular Medicine Reversible Electroporation - Porous Media: Applications in Biological Systems and Biotechnology - page 45

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Mathematical Models of Mass Transfer
in Tissue for Molecular Medicine
with Revers ible Electroporation

Yair Granot, Boris Rubinsky
Graduate Group in Biophysics, Department of Mechanical Engineering,
University of California, Berkeley, CA

CONTENTS

2.1 Introduction ................................................................. 45

2.2 Fundamental Aspects of Reversible Electroporation ....................... 48

2.3 Mathematical Models of Ion Transport during Electroporation ........... 51

2.4 Electrical Impedance Tomography of in vivo Electroporation ............. 53

2.5 Mass Transfer in Tissue with Reversible Electroporation .................. 58

2.6 Studies on Molecular Medicine with Drug Delivery in Tissue by

Electroporation ............................................................. 64

2.7 Future Research Needs in Mathematical Modeling of the Field of

Electroporation ............................................................. 68

2.8 References ................................................................... 69

2.1 Introduction
Every cell is distinguished from its environment by means of a semiperme-
able membrane. This membrane plays a crucial role in the ability of the cell
to function; the loss of membrane integrity, except for brief periods, would
almost certainly lead to the cell's death. Manipulation of the cell membrane
permeability has been long sough after by many researchers as a means of
controlling cells and tissues. A controlled method of inserting or extracting
certain substances from the cell without compromising its viability may be at
the foundation of molecular medicine where drugs or genes can be directed

Acknowledgment
B.R. was supported by The Israel Science Foundation (grant no. 403/06).

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