Genetic Algorithms and Protein Folding


by Dr. Steffen Schulze-Kremer
Westfälische Strasse 56, D-10711 Berlin, FRG
E-mail: steffen@chemie.fu-berlin.de
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1.2.1.6 Side Chain Placement

Crystallographers often face the problem of positioning the side chains of a protein when the primary structure and the conformation of the backbone is known. At present, there is no method that automatically does side chain placement with sufficiently high accuracy for routine practical use. Although the side chain placement problem is conceptually easier than ab initio tertiary structure prediction it is still too complex for analytical treatment.

The genetic algorithm approach as described above can be used for side chain placement. The torsion angles , , and have simply to be kept constant for a given backbone. Side chain placement by the genetic algorithm was done for Crambin. For each five residues, a superposition of the native and predicted conformation is shown in stereo projection graphs in Figure 5. As can be seen, the predictions are quite well in agreement with the native conformation in most cases. The overall r.m.s. difference in this example is 1.86Å. This is not as good as but comparable to the results from a simulated annealing approach [31] (1.65Å) and a heuristic approach (1.48 ) [32].


Residues 1 - 5


Residues 6 - 10


Residues 11 - 15


Residues 16 - 20


Residues 21 - 25


Residues 26 - 30


Residues 31 - 35


Residues 36 - 40


Residues 41 - 46

Figure 5. Side Chain Placement Results

A spatial superposition in stereoscopic wire frame diagrams is shown for every five residues of Crambin and the corresponding fragment generated by a genetic algorithm. The amino acid sequence of Crambin in one letter code is
TTCCP SIVAR SNFNV CRLPG TPEAI CATYT GCIII PGATC PGDYA N

It must be emphasised that these runs were done without optimising either the force field parameters of the fitness function or the run time parameters of the genetic algorithm. From a more elaborate and fine-tuned experiment even better results should be expected.


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