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65 4.2 The numerical sequence and associated DFTs of the basic cattle. left) and sour beef (right). 102 5.5 Classification accuracy (in percentage) of the proposed. AmPseAAC+RBF) method for self-consistency and jackknife testing.

Background and scope of the thesis

There is therefore a critical challenge to develop automated methods for the rapid and accurate determination of protein structures. The problem of protein structural class prediction was mainly focused on the effective representation of protein sequences and then the development of robust classification algorithms to efficiently predict the class attribute.

Motivation

This large dimension reduces the accuracy of the classifier as there is a risk of overloading. Therefore, joint time-frequency analysis is needed to better understand hidden artifacts in genomic signals.

Objective of the dissertation

Measuring and processing the genomic and proteomic signal in the time domain and frequency domain alone does not provide complete information about the structure, sequence and pattern of the molecules. Propose a hybrid feature extraction method for efficient classification of the gene expression profiles of cancer microarrays.

Dissertation Outline

First, the spectrum of the protein sequence is obtained to show the energy distribution of the frequencies in the time-frequency domain. The performance of the proposed method is evaluated and compared with existing methods using benchmark datasets.

Conclusion

An exhaustive simulation study is performed on the standards 204, 277 and 498 datasets to demonstrate the effectiveness of the new feature representation. This chapter provides a brief overview of the signal processing and soft computing techniques used to solve some challenging problems in bioinformatics.

Signal processing techniques used in the analysis

Discrete Fourier transform

Therefore, it is necessary to represent the signal in some alternative fields where the intrinsic characteristics of the signal can be reflected in a better way. Direct calculation of the DFT coefficients (point N which is a power of 2) requires O(N2) operations, while the FFT algorithm can calculate the same in only O(N log2N) operations.

Discrete cosine transform

An efficient algorithm known as fast Fourier transform (FFT) exists to reduce the computational complexity in computing the DFT and its inverse. This property of DFT can be used to identify the periodicities present in the signal.

Time-frequency analysis

Actually, the time information of the spectral elements is hidden in the phase spectrum of the signal. The spectrum of the time series is calculated using STFT, WT and S-transform and is shown in Fig.2.2.

Figure 2.2: Comparison of the power spectra obtained by STFT, WT and S-transform, (a) The synthetic time series (composition of four frequency signals:
Figure 2.2: Comparison of the power spectra obtained by STFT, WT and S-transform, (a) The synthetic time series (composition of four frequency signals:

Soft computing techniques used in the analysis

Artificial neural network

An artificial neural network (ANN) is an information processing system that attempts to simulate biological neural networks, i.e. the nervous system in the brain [18] [19]. In this algorithm, the weights and biases are initialized as very small random values. The intermediate and final outputs of the MLP are calculated by equations (2.22) and (2.23), respectively.

Figure 2.3: The structure of a single neuron Signum function
Figure 2.3: The structure of a single neuron Signum function

Conclusion

Genes and Proteins

It consists of alternating parts of coding regions (exons) and non-coding regions (introns). Therefore, searching for coding regions in a DNA sequence involves searching for the many nucleotides that make up the DNA strand.

Fundamentals of 3-base periodicity in protein coding regions . 37

Because of these discrepancies and many other reasons, the identification of protein-coding regions in the DNA sequence is a complex task. Also, many model-independent methods have been proposed to identify the coding regions in DNA sequences.

Figure 3.2: The central dogma of molecular biology (flow of genetic information from DNA to RNA to Protein)
Figure 3.2: The central dogma of molecular biology (flow of genetic information from DNA to RNA to Protein)

Numerical mapping of DNA sequences

The DNA sequence can be converted to the numerical sequence by replacing each nucleotide with the corresponding EIIP value. For example, if x[n] =AAT GCAT CA, then using the values ​​from Table 3.1, the corresponding numerical sequence is given as.

Spectral content measure method

Therefore, coding regions are identified by evaluating S[N/3] in a window of N samples, then sliding the window by one or more samples and recomputing S[N/3]. Peaks in the spectra obtained by sliding window DFT correspond to protein-coding regions.

Figure 3.3: DFT power spectrum of the coding region of gene F56F11.4 ( exon region from 2527-2857 of length 330 relative to the base position 7021)
Figure 3.3: DFT power spectrum of the coding region of gene F56F11.4 ( exon region from 2527-2857 of length 330 relative to the base position 7021)

Digital filter method

When the radius R is small and close to unity, G(z) is a notch filter with zero at frequency w0. Therefore, H(z) can be a good anti-notch filter defined as 3.8) The amplitude response of a filter against a notch with radius R = 0.99 is shown in the figure.

Statistical method of coding region identification

The probability of the sequence is the product of state transitions and symbol emissions. Mathematically, the state sequence can be found by maximizing the conditional probability P(A/S) with respect to A.

Figure 3.6: A simple hidden Markov model. A two-state HMM describing DNA sequence with a heterogeneous base composition is shown.(a) State 1 (top left) generates AT-rich sequence, and state 2 (top right) generates CG-rich sequence.
Figure 3.6: A simple hidden Markov model. A two-state HMM describing DNA sequence with a heterogeneous base composition is shown.(a) State 1 (top left) generates AT-rich sequence, and state 2 (top right) generates CG-rich sequence.

The proposed time-frequency analysis method

Identification of protein coding regions in DNA using

Peaks in the energy of the filtered output signal identify the locations of protein coding regions. This energy is called the energy sequence corresponding to the three-base periodicity of the DNA sequence.

Figure 3.11: Spectrogram of the DNA sequence of F56F11.4. The high spectrum values (bright regions) correspond to the dominant frequency components
Figure 3.11: Spectrogram of the DNA sequence of F56F11.4. The high spectrum values (bright regions) correspond to the dominant frequency components

Results and Performance evaluation

Data resorces

The number of single-exon genes is 43, and the number of multi-exon genes is 152. The proportion of the coding sequence in this dataset is 14%, the intronic sequence is 46%, and the intergenic DNA is 40%.

Experimetal result

A comparative analysis of the average accuracy against threshold values ​​for the three model-independent methods is shown in the figure. A classification experiment was also conducted to compare the performance of the proposed method.

Table 3.2: Position comparison study of the exons of F56F11.4 by the DFT, anti-notch, S-transform filter and HMM methods.The length of the exons are shown in the braces.
Table 3.2: Position comparison study of the exons of F56F11.4 by the DFT, anti-notch, S-transform filter and HMM methods.The length of the exons are shown in the braces.

Discussion

Therefore, the S-transform based filtering method provides a better performance on the classification, thereby evaluating the superiority of the proposed method. This happens due to the scaling nature of the Gaussian window during spectrum calculation, which can affect the time-frequency filtering operation and also the accuracy.

Figure 3.16: Comparison of the power spectra obtained by the three methods for gene AF0099614
Figure 3.16: Comparison of the power spectra obtained by the three methods for gene AF0099614

Conclusion

A schematic view of the interaction of a protein with target through the hot spots is shown in Fig.4.1. Since the interaction involves binding of the protein to the target, it releases some energy in that process known as binding free energy (∆G).

Figure 4.1: A schematic view of the hot spots in the complex of human growth hormone and its receptor.The human growth hormone (yellow) bound to the extracellular portion of its homodimeric receptors (grey)
Figure 4.1: A schematic view of the hot spots in the complex of human growth hormone and its receptor.The human growth hormone (yellow) bound to the extracellular portion of its homodimeric receptors (grey)

Review of hot spot identification methods

The signal processing techniques are the suitable candidates to extract these characteristic frequencies in the protein sequence based only on the sequence information. Under such a situation, if the conventional digital filtering technique is used, it will not uniquely detect all characteristic frequencies present in the protein sequence.

Resonant recognition model

The characteristic RRM frequency in the consensus spectrum corresponds to a particular biological function of the protein family. To analyze the characteristic frequency change in this case, a joint time-frequency analysis is needed.

Table 4.1: EIIP values of the 20 amino acids
Table 4.1: EIIP values of the 20 amino acids

Time-frequency analysis

A simple procedure was applied to identify the hotspots by changing the amplitude of the Fourier coefficients corresponding to the characteristic frequencies. Therefore, the TFA evaluates the energy concentration along the frequency axis at a given time, providing a joint time-frequency representation of the signal.

Hot spot localization in proteins using the proposed S-transform

Experimental study

These computational methods use the knowledge of the ASEdb database to predict hotspots. The hotspots identified by these methods are shown in Table 4.7 and the performance comparison is also shown in Table 4.8.

Table 4.3: Proteins of functional family used for computation of consensus spectrum
Table 4.3: Proteins of functional family used for computation of consensus spectrum

Discussion of results

Thus, it saves time, effort and cost for the identification of hotspots in proteins. But the proposed signal processing technique does not require prior 3D structural information of the protein for hotspot localization.

Figure 4.9: The 3D structure of barnase-barstar complex (PDB ID:1brs) showing the hot spots
Figure 4.9: The 3D structure of barnase-barstar complex (PDB ID:1brs) showing the hot spots

Conclusion

Review of protein structural class prediction

94] indicated that the protein structural classes are strongly related to amino acid composition (AAC). Much other information regarding the protein sequence is embedded in the PseAAC to optimally reflect the sequence order and length effects.

Feature representation method of protein

Amino acid composition (AAC) feature of protein

112] incorporated a wavelet power spectrum into PseAAC to reflect the long-range interaction of amino acids in the protein. 113] [114] used Fourier spectrum analysis with PseAAC to improve membrane protein prediction.

Amphiphilic Pseudo amino acid composition (AmPseAAC)

These values ​​are listed in Table θ1 and are called the first-layer correlation factors that reflect the sequence order correlation between the most contiguous residues along the protein sequence via hydrophobicity and hydrophilicity. Therefore, a significant amount of sequence information is incorporated into the 2λ correlation factors via the amphiphilic values ​​of the amino acid residues along a protein chain.

Spectrum based feature of protein

Amino acid hydrophobicity and hydrophilicity values ​​determined by Tanford [118] and Hopp &. DFT is a possible tool to transform the discrete protein sequence into Table 5.1: Amino Acid Hydrophobicity and Hydrophilicity Values.

The proposed DCT amphiphilic pseudo amino acid composition

These dominant low-frequency motions have a great effect on the structure (both alpha helix and beta sheets) of the formation of the protein. The low frequency DCT coefficients on. the protein is denoted by γk and the symbol w represents the weighting factor which controls the degree of the sequence order effect to be incorporated.

Classification strategy

The first 20 values ​​in Eq. 5.6) represent the classical amino acid composition, the following 2λ values ​​reflect the amphiphilic sequence correlation along the protein chain and the remaining δ discrete values ​​contain the low-frequency global information of the protein.

Performance measures

This procedure is repeated until every protein in the database is omitted for testing. The Jackknife test is the most desired and is a useful test used by most researchers to test the effectiveness of the prediction models.

Figure 5.2: The flow graph of the proposed feature based classification approach the rule parameters derived from the same dataset
Figure 5.2: The flow graph of the proposed feature based classification approach the rule parameters derived from the same dataset

Results and Discussion

Datasets

Experimental Results

The success rate of the proposed feature representation method is found to be the best compared to that obtained by others. Furthermore, the classification performance of the proposed feature representation with the RBF network is studied for the replacement and jackknife test.

Table 5.4: Comparison of Jackknife classification accuracy (in percentage) using different feature representation methods
Table 5.4: Comparison of Jackknife classification accuracy (in percentage) using different feature representation methods

Conclusion

Molecular biology research evolves through the development of the technologies used to carry it out. Therefore, there is a need to develop faster, automatic and efficient tools for the analysis of microarray data.

Table 5.6: Comparison of Jackknife accuracy (in percentage) of the best classifier that used the proposed feature and the other reported methods (for 204 Dataset)
Table 5.6: Comparison of Jackknife accuracy (in percentage) of the best classifier that used the proposed feature and the other reported methods (for 204 Dataset)

Microarray Technology

Gene expression data

In general, a microarray experiment produces a gene expression matrix E =Eij, 1≤ i≤n,1≤j ≤m, which is a realistically evaluated gene expression level in different samples, as shown in the figure. In the expression matrix, a row contains the expression of gene samples, the columns represent the expression profiles of the samples, and each cell is the measured expression level of gene ′i′ in sample ′j′.

Dimension reduction techniques

The F-score method of feature selection

It is a simple and robust method and does not require a priori knowledge of the sequence. The coefficients of the linear filter can be used to model the microarray samples in gene space in terms of their global spectral features.

Performance evaluation

Datasets

This dataset consists of four categories of small blue round tumors (SRBCT) with 83 samples from 2308 genes [144]. This dataset consists of three types of leukemia, namely ALL, MLL and AML with 72 samples from 12582 genes [150].

Experimental results

The success rates of all classifiers are evaluated on all six benchmark datasets. It is clear from the table that RBFNN classifier has the best performance among all classifiers and for all datasets.

Table 6.2: Comparison of LOOCV classification accuracy using the proposed feature representation method using RBFNN, MLP and LDA.
Table 6.2: Comparison of LOOCV classification accuracy using the proposed feature representation method using RBFNN, MLP and LDA.

Conclusion

The potential of the proposed method is assessed by evaluating ROC curves and statistical parameters (Sp, Sn, Average accuracy) in C. Exhaustive simulation study is performed on the proposed method with six standard cancer microarray datasets to demonstrate its potential. The results show that the proposed method is comparable to the existing best algorithm, but with an advantage of reduced complexity.

Figure 6.6: The LOOCV accuracy for the multi class datasets (MLL-Leukemia, Lymphoma and SRBCT).
Figure 6.6: The LOOCV accuracy for the multi class datasets (MLL-Leukemia, Lymphoma and SRBCT).

Future work

Lee, “A feature-based approach for modeling protein-protein interaction hotspots,” Nucleic Acids Research, vol.37, no. Antoniou, “Identification of hotspot locations in proteins using digital filters”, IEEE Journal of Selected Topics in Signal Processing, vol.2, no.

Figure 7.1: The EIIP coded sequence (1000 bases) of the gene F56F11.4 [87]
Figure 7.1: The EIIP coded sequence (1000 bases) of the gene F56F11.4 [87]

The DFT of a periodic signal

Comparison of the power spectra obtained by STFT, WT and

The structure of a single neuron

The structure of MLP network

The architecture of radial basis function network

The process to evaluate sensitivity and specificity

The relationship between the DNA sequence, gene, intergenic spaces,

The central dogma of molecular biology (flow of genetic information

DFT power spectrum of coding region of gene F56F11.4

DFT power spectrum of non-coding region of gene F56F11.4

The anti-notch filter response

A simple hidden Markov model

The synthetic time series and its amplitude spectra

The synthetic time series and its S-transform spectrum

The time-band limited filter

The recovered signal and its S-transform spectrum

Spectrogram of the DNA sequence of gene F56F11.4

The flow graph of the S-transform based filtering approach for protein

Gambar

Figure 2.1: The magnitude plot of the DFT of a periodic signal with a period T = 5.
Figure 2.4: The structure of MLP network
Figure 3.1: The relationship between the DNA sequence, gene, intergenic spaces, exons, introns and codons
Figure 3.2: The central dogma of molecular biology (flow of genetic information from DNA to RNA to Protein)
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