International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Sekulić D.   Satariс M.   Zivanov M.  

Symbolic Computation of Nano-ionic Pulses in Protein-based Electronic Circuit Using METF Method

Reporter: Sekulić D.

Actin is the most abundant protein in the cytoplasm of mammalian cells. We propose a model in which each actin monomer is a nanobioelectric element with a capacitive, inductive, and resistive property due to the molecular structure of the actin filament. Based on Kirchhoff’s laws taken in the continuum limit, a nonlinear partial differential equation is derived for the propagation of nano-ionic pulses. By means of computerized symbolic computation and a modified extended tanh-function (METF) method the wave solutions of nonlinear partial differential equation is presented and implemented in a computer algebra ic system. Applying this method, we find exact solutions of voltage equation. The method is straightforward and concise, and it can also be applied to other nonlinear equations in engineering and physics.


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