Applied Biomathematics for Nucleic Acid Chemistry and Protein Folding: Quantitative Simulations

A Theoretical Analysis of a Percolation Model

Author(s): Sencer Taneri * .

Pp: 16-25 (10)

DOI: 10.2174/9789815179965123010005

* (Excluding Mailing and Handling)


In Chapter 2, we demonstrate an analytical analysis of a previously published research for a percolation simulation. In that research the effect of mutations on adaptability was investigated in a bit-string model of invading species in a random environment. However, analytical analysis was missing which will be the topic here. The Hausdorff dimensions are calculated for the fractals and the conditions on invasion are analyzed analytically by manipulation of partial differential equations. Thus, various conclusions may be reached without having to run long simulations. 

Keywords: Boundary value problems, Fractals, Hausdorff dimension, Monte carlo methods, Ordinary and partial differential equations, Percolation.

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