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Polish Infrastructure for Supporting Computational

Science in the European Research Space

PL-Grid

The Project is co-funded by the European Regional Development Fund

as part of the Innovative Economy program.

IS THE "FUZZY OIL DROP" MODEL OF GENERAL CHARACTER?

1) Academic Computer Center CYFRONET, Nawojki 11, 30-950 Krakow, PL

2) Institiute of Computer Science, AGH, Mickiewicza 30, 30-059 Krakow, PL

3) Department of Bioinformatics and Telemedicine, Jagiellonian University – Medical College,

Lazarza 16, 31-530 Krakow, PL

T. Jadczyk , M.Bubak , and I.Roterman

Introduction

Materials and Methods

The “fuzzy oil drop” model appeared to describe well the structure of the hydrophobic core in many proteins. “Fuzzy oil drop” model assumes

the hydrophobicity distribution in proteins to be accordant with the 3-D Gauss function differentiating the hydrophobicity density

from the highest one in the center of the molecule and zero level on the surface [1].

The question was given – Are there many proteins representing the structure of “fuzzy oil drop” character in respect to hydrophobicity distribution ?

To answer this question the large scale calculation was performed using the complete set of proteins deposited in PDB aimed to identify

the proteins representing assumed structure. The structural unit was defined in two ways:

the protein complexes were taken as the one unit, each chain was taken separately.

Observed hydrophobicity (Levitt function)

Expected (theoretical) hydrophobicity distribution (3D Gauss function):

Geometric center of the molecule

Molecule size

sum of hydrophobicity (according to hydrophobic scale)

of interacting residues

The similarity of both distribution was calculated according to

Kullback-Leibler

distance entropy [4]:

O/R value expresses the distance between observed distribution

and the random one:

cutoff value, Levitt [3]

Data: Complete set of proteins present in PDB

(December 2010), nucleic acid molecules excluded

Search: The protein representing the relation:

O/T < O/R

was taken as the protein representing hydrophobic core

of the "fuzzy oil drop" character

Experiment

All PDB Entries

Prepare data

PL-Grid Virtual Laboratory - GridSpace2 Experiment Workbench

PDB Entries part 1 PDB Entries part 2 PDB Entries part N Submit 1050

independent tasks to ZEUS

Rotate protein

Calculate O/T and O/R

Store results in local SQL T A S K TASK 1 TASK 2 TASK N Collect Results Create summary statistics

Results

CHAINS COMPLEXES 0 10 20 30 40 50 60 70 80 90 100

96,41

26,27

Chain / Complex N < 80 > 600 0,0 10,0 20,0 30,0 40,0 50,0 60,0 70,0 80,0 90,0 100,0 86,8 98,3 98,4 97,8 99,0 97,2 86,4 22,2 27,8 28,7 23,7 29,3 20,5 26,4

LENGTH OF POLYPEPTIDE CHAINS

COMPLEX Residues homo sapiens escherichia coli engineered mus musculus saccharomyces cerevisiae bos taurus rattus norvegicus thermus thermophilus bacillus subtilis 0,0 10,0 20,0 30,0 40,0 50,0 60,0 70,0 80,0 90,0 100,0 92,4 90,8 61,0 91,8 87,6 87,8 89,4 95,4 98,4 31,6 16,8 19,6 25,6 22,8 27,7 30,1 8,2 25,9 ORGANISM CHAINS COMPLEXES

Conclusions

References

The percentage of structures accordant with the assumed model

The percentage of structures accordant

with the assumed model for proteins classified according to the polypeptide chain length

The enzymes characteristics -

the percentage of structures accordant with the assumed model

The percentage of proteins of the structure accordant

with the assumed model classified for selected organism

CHAINS COMPLEX 0,0 10,0 20,0 30,0 40,0 50,0 60,0 70,0 80,0 90,0 100,0 98,2 28,8 95,0 24,3 ENZYME Enzyme Not Enzyme Experiment were executed in GridSpace2 Experiment Workbench. Complete PDB database

(over 70000 entries) was split into 1050 subsets. Each set was an input for FOD-computing task. Tasks were run on ZEUS cluster. Each task created small database with results for analyzed set of proteins. Results from all databases were gathered and then final statistics were created.

The unexpectedly large percentage of proteins representing the structures accordant with assumed model is probably due to redundancy of PDB database.

The non-redundant set shall be extracted form PDB to make the frequency of “fuzzy oil drop” model structures reliable

[1] Konieczny L, Brylinski M, Roterman I. (2006) Gauss-function-Based model of hydrophobicity density in proteins. In Silico Biol. 6: 15-22 [2] Kauzman W. (1959) Some factors in the interpretation of protein denaturation. Adv Protein Chem 14: 1–63

[3] Levitt M, (1976) A simplified representation of protein conformations for rapid simulation of protein folding. J. Mol. Biol. 104 (1): 59–107 [4] Nalewajski RF. (2006) Information theory of molecular systems. Amsterdam [etc.]: Elsevier, ISBN 978-0-444-51966-5

[5] E. Ciepiela, D. Harezlak, J. Kocot, T. Bartynski, M. Kasztelnik, P. Nowakowski, T. Gubała, M. Malawski, M. Bubak (2010) Exploratory Programming in the Virtual Laboratory. Proceedings of the International Multiconference on Computer Science and Information Technology pp. 621–628

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