Sigmoidal Functions: Some Computational and Modelling Aspects

Nikolay Kyurkchiev, Svetoslav Markov

Abstract


We  focus on some computational, modelling and approximation issues related to the logistic sigmoidal function and to Heaviside step function.   The Hausdorff approximation of the Heaviside interval step function by sigmoidal functions is discussed from various computational and modelling aspects. Some relations between Verhulst model and certain biochemical reaction equations are discussed and analyzed. Numerical examples are presented using CAS Mathematica.

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DOI: http://dx.doi.org/10.11145/j.bmc.2015.03.081

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ISSN 2367-5233 (print)
ISSN 2367-5241 (online)