Modeling Vegetable Fractals by means of Fractional-order Equations

Lopes, António M.; Machado, J. A. Tenreiro

http://hdl.handle.net/10400.22/6961

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Authors

Lopes, António M.

Machado, J. A. Tenreiro

Abstract(s)

This paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.