Abstract

We present results from three-dimensional protein folding simulations in the HP-model on ten benchmark problems. The simulations are executed by a simulated annealing-based algorithm with a time-dependent cooling schedule. The neighbourhood relation is determined by the pull-move set. The results provide experimental evidence that the maximum depth D of local minima of the underlying energy landscape can be upper bounded by D < n 2 / 3 . The local search procedure employs the stopping criterion ( m / δ ) D / γ , where m is an estimation of the average number of neighbouring conformations, γ relates to the mean of non-zero differences of the objective function for neighbouring conformations, and 1 − δ is the confidence that a minimum conformation has been found. The bound complies with the results obtained for the ten benchmark problems.

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