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2017 | OriginalPaper | Chapter

An MCMC-MRF Algorithm for Incorporating Spatial Information in IMS Proteomic Data Processing

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Abstract

It is desirable to not only identify the peaks of the mass spectra but also to study relations among them using the spatial information for the entire imaging mass spectrometry (IMS) data cube. In this paper, we incorporate spatial information in IMS data analysis using Markov random field (MRF) and optimize classification accuracy with Markov chain Monte Carlo (MCMC) sampling. First, we discuss the necessity of incorporating spatial information in IMS data analysis and give a brief introduction to MRF and its background. Then, we develop the MCMC-MRF computation framework using MCMC sampling and the Ising model, which is the simplest MRF, as prior information to optimize IMS data classification accuracy. The method to estimate parameters using training data is also discussed. Finally, we use test data to test the performance of this model under different definitions of neighboring system. The experiment results show that the MCMC-MRF model can improve IMS data classification accuracy effectively, and the more realistically the neighboring system is defined, the better classification result will be.

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Literature
1.
go back to reference Alexandrov, T., & Kobarg, J. H. (2011). Efficient spatial segmentation of large imaging mass spectrometry datasets with spatially aware clustering. Bioinformatics, 27(13), i230–i238CrossRef Alexandrov, T., & Kobarg, J. H. (2011). Efficient spatial segmentation of large imaging mass spectrometry datasets with spatially aware clustering. Bioinformatics, 27(13), i230–i238CrossRef
2.
go back to reference Aykroyd, R. G., & Zimeras, S. (1999). Inhomogeneous prior models for image reconstruction. Journal of American Statistical Association (JASA), 94(447), 934–946.MathSciNetCrossRefMATH Aykroyd, R. G., & Zimeras, S. (1999). Inhomogeneous prior models for image reconstruction. Journal of American Statistical Association (JASA), 94(447), 934–946.MathSciNetCrossRefMATH
3.
go back to reference Bouman, C., Sauer, K., & Saquib, S. (1995). Markov random fields and stochastic image models. In IEEE International Conference on Image Processing. Bouman, C., Sauer, K., & Saquib, S. (1995). Markov random fields and stochastic image models. In IEEE International Conference on Image Processing.
4.
go back to reference Chen, S., Hong, D., & Shyr, Y. (2007). Wavelet-based procedures for proteomic MS data processing. Computational Statistics and Data Analysis, 52, 211–220.MathSciNetCrossRefMATH Chen, S., Hong, D., & Shyr, Y. (2007). Wavelet-based procedures for proteomic MS data processing. Computational Statistics and Data Analysis, 52, 211–220.MathSciNetCrossRefMATH
5.
go back to reference Chen, S., Li, M., Hong, D., Billheimer, D., Li, H., Xu, B., et al. (2009). A novel comprehensive wave-form MS data processing method. Bioinformatics, 25(6), 808–814.CrossRef Chen, S., Li, M., Hong, D., Billheimer, D., Li, H., Xu, B., et al. (2009). A novel comprehensive wave-form MS data processing method. Bioinformatics, 25(6), 808–814.CrossRef
6.
go back to reference de Plas, R. V., De Moor, B., & Waelkens, E. (2007). Imaging mass spectrometry based exploration of biochemical tissue composition using peak intensity weighted PCA. Life Science Systems and Applications Workshop, 2007. LISA 2007. IEEE/NIH (pp. 209–212). de Plas, R. V., De Moor, B., & Waelkens, E. (2007). Imaging mass spectrometry based exploration of biochemical tissue composition using peak intensity weighted PCA. Life Science Systems and Applications Workshop, 2007. LISA 2007. IEEE/NIH (pp. 209–212).
7.
go back to reference Geman, S., & Graffigne, C. (2011). Markov random field image models and their applications to computer vision. Proceedings of the International Congress of Mathematicians, 4(5), 1496–1517.MathSciNetMATH Geman, S., & Graffigne, C. (2011). Markov random field image models and their applications to computer vision. Proceedings of the International Congress of Mathematicians, 4(5), 1496–1517.MathSciNetMATH
8.
go back to reference Gerhard, M., Deininger, S., & Schleif, F. (2007). Statistical classification and visualization of MALDI imaging data. Proceedings of the 20th IEEE International Symposium on Computer-Based Medical Systems (CBMS 2007), pp. 403–405. Gerhard, M., Deininger, S., & Schleif, F. (2007). Statistical classification and visualization of MALDI imaging data. Proceedings of the 20th IEEE International Symposium on Computer-Based Medical Systems (CBMS 2007), pp. 403–405.
9.
go back to reference Hong, D., & Zhang, F. (2010) Weighted elastic net model for mass spectrometry imaging processing. Mathematical Modelling of Natural Phenomena, 5(3), 115–133. Hong, D., & Zhang, F. (2010) Weighted elastic net model for mass spectrometry imaging processing. Mathematical Modelling of Natural Phenomena, 5(3), 115–133.
10.
go back to reference Liang, J., Hong, D., Zhang, F., & Zou, J. (2015). IMSmining: A tool for imaging mass spectrometry data biomarker selection and classification. In R. N. Mohapatra, D. R. Chowdhury, & D. Giri (Eds.), Springer Proceedings in Mathematics & Statistics (Vol. 139, pp.155–162). New York: Springer. Liang, J., Hong, D., Zhang, F., & Zou, J. (2015). IMSmining: A tool for imaging mass spectrometry data biomarker selection and classification. In R. N. Mohapatra, D. R. Chowdhury, & D. Giri (Eds.), Springer Proceedings in Mathematics & Statistics (Vol. 139, pp.155–162). New York: Springer.
11.
go back to reference Lieb, E., Schultz, T., & Mattis, D. (1964). Two-dimensional Ising model as a soluble problem of many fermions. Reviews of Modern Physics, 36, 856–871.MathSciNetCrossRef Lieb, E., Schultz, T., & Mattis, D. (1964). Two-dimensional Ising model as a soluble problem of many fermions. Reviews of Modern Physics, 36, 856–871.MathSciNetCrossRef
12.
go back to reference Rohner, T., Staab, D., & Stoeckli, M. (2005). MALDI mass spectrometric imaging of biological tissue sections. Mechanisms of Ageing and Development, 126(1), 177–185.CrossRef Rohner, T., Staab, D., & Stoeckli, M. (2005). MALDI mass spectrometric imaging of biological tissue sections. Mechanisms of Ageing and Development, 126(1), 177–185.CrossRef
14.
go back to reference Van de Plas, R., Yang, J., Spraggins, J., & Caprioli, R. M. (2015). Image fusion of mass spectrometry and microscopy: a multimodality paradigm for molecular tissue mapping. Nature Methods, 12, 366–372.CrossRef Van de Plas, R., Yang, J., Spraggins, J., & Caprioli, R. M. (2015). Image fusion of mass spectrometry and microscopy: a multimodality paradigm for molecular tissue mapping. Nature Methods, 12, 366–372.CrossRef
15.
go back to reference Wang, L., Liu, J., & Li, S. (2000). MRF parameter estimation by MCMC method. Pattern Recognition, 33(11), 1919–1925.MathSciNetCrossRef Wang, L., Liu, J., & Li, S. (2000). MRF parameter estimation by MCMC method. Pattern Recognition, 33(11), 1919–1925.MathSciNetCrossRef
16.
go back to reference Xiong, L., & Hong, D. (2015). Multi-resolution analysis method for IMS data biomarker selection and classification. British Journal of Mathematics and Computer Science, 5(1), 64–80.CrossRef Xiong, L., & Hong, D. (2015). Multi-resolution analysis method for IMS data biomarker selection and classification. British Journal of Mathematics and Computer Science, 5(1), 64–80.CrossRef
17.
go back to reference Zhang, F., & Hong, D. (2011). Elastic net-based framework for imaging mass spectrometry data biomarker selection and classification. Statistics in Medicine, 30, 753–768.MathSciNetCrossRef Zhang, F., & Hong, D. (2011). Elastic net-based framework for imaging mass spectrometry data biomarker selection and classification. Statistics in Medicine, 30, 753–768.MathSciNetCrossRef
Metadata
Title
An MCMC-MRF Algorithm for Incorporating Spatial Information in IMS Proteomic Data Processing
Authors
Lu Xiong
Don Hong
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-45809-0_5

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