Comparative Study of Metaheuristics for the Curve-Fitting Problem: Modeling Neurotransmitter Diffusion and Synaptic Receptor Activation

Figure 4

Examples of curve-fit solutions for the AMPA open receptors problem. All figures show curve-fitting solutions for the same synaptic curve. Continuous lines show curve-fitting solutions obtained using the indicated equation fitted by the best optimization algorithm from our experiments. Dashed lines show reference data obtained from simulation. (a) also shows a detailed view of the curve peak. (e) shows an extreme case of overfitting, in the form of a fast-oscillating periodic function. (f) shows the sampled points tested in the fitness evaluation of the 8-term Fourier series, to better illustrate the overfitting problem.

(a) 8-term Gauss series ()

(b) 4-by-4 deg. polynomial rational ()

(c) 2-term exp. function ()

(d) 9th degree polynomial ()

(e) 8-term Fourier series ()

(f) 8-term Fourier series (tested points only)