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Typing Staphylococcus aureus using the protein A gene. Phaedra Agius – January, 2008, completed at RPI in New York. in collaboration with Barry Kreiswirth, Steve Naidich, Kristin Bennett. Introduction. What is staph? Typing methods and the spA gene The data Comparing Sequences
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Typing Staphylococcus aureus using the protein A gene Phaedra Agius – January, 2008, completed at RPI in New York in collaboration with Barry Kreiswirth, Steve Naidich, Kristin Bennett
Introduction • What is staph? • Typing methods and the spA gene • The data • Comparing Sequences • Similarities and differences • Hierarchical clustering • Evaluating the results • Multidimensional Scaling • Conclusion
Staphylococcus aureus is a bacteria often living on the skin or in the nose of a healthy person. • It can spread rapidly • Some strains are resistant to antibiotics (MRSA) • Staph can cause a multitude of infections, from skin infections to more deadly infections such as pneumonia and meningitis
Typing Methods • Multi Locus Sequence Typing (MLST) is a well established typing method that looks at 7 house-keeping genes in staph. These are genes that are always turned on. • Our method looks at just ONE gene – the spA gene.
The spA gene • The spA gene contains information for making Protein A. • The protein A in staph is a virulence factor. It inhibits white blood cells from ingesting and destroying the bacteria by acting as an immunological disguise.
Preprocessed DNA sequences of the spA gene AAAGAG GAAGACAACAACAAGCCTGGT AAA GAAGATGGCAACAAGCCTGGT AAA GAAGACAACAAAAAACCTGGC AAA GAAGATGGCAACAAACCTGGT AAA GAAGACGGCAACAAGCCTGGTAAA GAAGATGGCAACAAGCCTGGT X1 K1 A1 O1 M1 Q1 The spA DNA sequences can be preprocessed into a sequence of repeats, or cassettes. Instead of dealing with the long DNA sequences, we use these shorter preprocessed spa sequences X1-K1-A1-O1-M1-Q1 Note, first cassette has 27bp, the others have 24bp
Labeled data • 194 sequences labeled with their MLST type • The MLST allelic profile is provided for each sequence Spa sequences MLST labels
Comparing spa sequences • T1-J1-M1-G1-M1-K1 • T1-K1-B1-M1-D1-M1-G1-M1-K1 • T1-M1-B1-M1-D1-M1-G1-M1-K1 • T1-M1-D1-M1-G1-M1-M1-K1 • U1-J1-F1-K1-P1-E1 • T1-J1-F1-K1-B1-P1-E1 • U1-J1-G1-F1-M1-B1 These ‘preprocessed’ sequences are highly conserved. How can we generate numbers from sequences that reflect the subtle differences and/or similarities between them?
Comparing spa sequences • Global alignment • Affine alignment • BCGS - Best common gap-weighted subsequence • Weighting the sequence ends (B and E) Using these methods each spa sequence can be represented as a vector of similarity scores between itself and all the other sequences
Global alignment • Costs: Gap =1, Mismatch = 1 C L O U D Y D A Y G * O * * A W A Y 1 0 1 1 1 1 0 • Distance: d = 5 Similarity: s = 2
Affine gap alignment • Costs: Gap Initialization = 2, Gap =1, Mismatch = 1 U1 J1 G1 F1 B1 B1 B1 B1 P1 B1 Global T1 J1 * * B1 B1 B1 * * D1 0 3 1 0 0 0 3 1 Distance = 8 Similarity = 4 U1 J1 G1 F1 B1 B1 B1 B1 P1 B1Affine T1 J1 * * * * B1 B1 B1 D1 0 3 1 1 1 0 0 1 Distance = 7 Similarity = 3
S A T R S A T S T R S A T R = = = = 1 2 3 4 , , , , , 0 ¸ ¸ S S 1 1 2 = = = 1 2 , , 3 4 ¸ ¸ S S 2 3 = = 3 4 , BCGS-Best Common Gap-weighted Subsequence PA R T Y H A RD P A N T * * * RY Common subsequences are: Gap weighted scores: Choose a weight 0< ג<=1
S A T R S A T S T R S A T R = = = = 1 2 3 4 , , , , , 0 ¸ ¸ S S 1 1 2 = = = 1 2 , , 3 4 ¸ ¸ S S 2 3 = = 3 4 , If ג =1, then S4 is the optimal choice. If ג =0.9, the scores are 1, 1.8, 1.46 and 1.97 respectively If ג =0.8, the scores are 1, 1.6, 1.02 and 1.23 respectively
Normalizing the similarity scores • The similarity scores M are normalized as follows: where n1 and n2 are the sequence lengths Example: C L O U D Y D A Y G * O * * A W A Y Similarity = 3, Normalized similarity = 3/√(7*4)=0.57
B and E The cassettes at the beginning (B) and end (E) of a sequence are highly conserved within spa families These cassettes shall be compared separately, scored as a match (1) or mismatch (0) and weighted E Let B and E have a weight of 20% in the overall score Sim score = 0.2*B + 0.6*M + 0.2*E B M=middle
( ) ( ) D i 1 ¡ s s s m s s = 1 2 1 2 ; ; Similarities Distances Normalized similarity scores can be transformed to distances as follows: Spa sequence vector of distances between that sequence and every other sequence in the dataset. The set of spa sequences is now represented by a (normalized) distance matrix.
Hierarchical Clustering Uses a distance matrix It iteratively ‘merges’ the two nearest items/clusters ---Cutoff c … this determines the number of clusters to be formed
Training and Testing • Split the data into two – a TRAINING set and a TEST set • Build amodel on the Training set by choosing optimal B, E and c parameters • Assign the Test data to the nearest clusters • Evaluate the results • Repeat multiple times for validation Train Test
Assigning Test sequences to the Training clusters • We define the distance between a point and a cluster to be the mean of the distances between that point and the members of the cluster. • IF the distance between a test point and the nearest cluster exceeds an outlier thresholdt , the test point is defined to be an outlier(a novel strain of the bacteria) • ELSE the test point is assigned to the nearest cluster. >t
Evaluation • Compare our clusters to the groups defined by the MLST labels via the Jaccard coefficient • Split our data into a Training and Testing set multiple times and measure the consistency of the clusters formed via a Stability score • Measure the Accuracy of our spa groups by comparing them to the MLST groups
Jaccard coefficient Clustering S Clustering M
Stability The stability is measured over the n Training and Testing iterations. It is defined to be the mean of the Jaccard scores measured pairwise between the spa clusterings obtained at each iteration Iterations 1, 2, 3 …. J1 Spa clustering 1 Spa clustering 2 J3 J2 Spa clustering 3 Stability = mean(J1,J2,J3)
Accuracy The MLST label assigned to a spa group is the label of the MLST group with which the spa group has the largest intersection. The accuracy for that spa group is defined to be the percentage of correctly labeled points. The overall accuracy of a spa clustering is defined to be the percentage of correctly labeled points. Spa group MLST group Accuracy = 8/11
Results: Jaccard scores(40 iters, outlier threshold = 1.5 sd)
Results: Stability scores(40 iters, outlier threshold = 1.5 sd)
Results: Accuracy scores(40 iters, outlier threshold = 1.5 sd)
Results: Outlier detection(40 iters, outlier threshold = 1.5 sd)
Results: Varying the Outlier threshold(10 iters, test set size = 30%)
Multidimensional Scaling (MDS) • MDS translates a distances matrix to a set of coordinates such that the distances between the points are approximately equal to the dissimilarities. Picture taken from Forrest W. Young’s paper ‘Multidimensional Scaling’
Conclusion and future work • The Spa clustering method can refine groups in ways that MLST cannot • BCGS worked best • MDS on our spa distances clearly draws out the clusters Future research • More data, compare to other typing methods • Use BCGS on other data types • Different distance measures • Different ways of assigning test points to clusters • Better ways for finding the optimal parameters other than a grid search
References • Spa Typing method for Discriminating among Staphylococcus aureus Isolates: Implications for Use of a Single marker to Detect Genetic Micro and Macrovariation Larry koreen, Srinivas Ramaswamy, Edward Graviss, Steven Naidich, James Musser and Barry Kreiswirth • Evaluation of protein A Gene Polymorphic Region DNA Sequencing for Typing of Staphylococcus aureus Strains B. Shopsin, M. Gomes, S.O. Montgomery, D.H. Smith, M. Waddington, D.E. Dodge, D.A.Bost, M. Riehman, S. Naidich and B. Kreiswirth • Introduction to Computational molecular Biology Joao Setubal and Joao Meidanis • Kernel Methods for Pattern Analysis John Shawe-Taylor and Nello Cristianini • Framework for kernel regularization with application to protein clustering Fan Lu, Sunduz Keles, Stephen J. Wright and Grace Wahba
Thanks! Questions? This work is published in IEEE/ACM Transactions on Computational Biology and BioinformaticsVolume 4, Issue 4, Oct.-Dec. 2007 Page(s):693 - 704