Bayesian inversion of multi-mode NEMS mass spectrometry signal

Nano ElectroMechanical Systems are a new class of sensors that offers high sensitivity and opens new perspectives in the mass spectrometry field. This acquisition is performed in counting-mode, and the main tasks of associated information processing are to detect the molecules, to quantify their respective mass and to combine this information in order to recover the mass spectrum of the analysed solution. We propose a joint detection-quantification method based on a hierarchical description of the measurement system. Computation is done using a Reversible Jumps Monte-Carlo Markov-Chain algorithm. The approach we are describing in this communication solves the two problems of the joint impulse deconvolution on multiple output signals (multi-mode acquisition) and the non-linear relation between the observed signals and the mass of molecules, including the localization of the molecules on the sensor. We validate our method on both simulated and experimental data.

[1]  A. N. Tikhonov,et al.  REGULARIZATION OF INCORRECTLY POSED PROBLEMS , 1963 .

[2]  M. Roukes,et al.  Single-protein nanomechanical mass spectrometry in real time , 2012, Nature nanotechnology.

[3]  M. Roukes,et al.  Toward single-molecule nanomechanical mass spectrometry , 2005, Nature nanotechnology.

[4]  E. Petricoin,et al.  Early detection: Proteomic applications for the early detection of cancer , 2003, Nature Reviews Cancer.

[5]  R. Tibshirani,et al.  Regression shrinkage and selection via the lasso: a retrospective , 2011 .

[6]  M. Roukes,et al.  Noise processes in nanomechanical resonators , 2002 .

[7]  É. Colinet,et al.  In-plane nanoelectromechanical resonators based on silicon nanowire piezoresistive detection. , 2010, Nanotechnology.

[8]  Ali Mohammad-Djafari,et al.  Bayesian approach with prior models which enforce sparsity in signal and image processing , 2012, EURASIP J. Adv. Signal Process..

[9]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

[10]  O. Hansen,et al.  Mass and position determination of attached particles on cantilever based mass sensors. , 2007, The Review of scientific instruments.

[11]  Sebastien Hentz,et al.  MCMC-based inversion algorithm dedicated to NEMS mass Spectrometry , 2013 .

[12]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[13]  R. Aebersold,et al.  Mass spectrometry-based proteomics , 2003, Nature.

[14]  Pascal Szacherski,et al.  Joint Bayesian hierarchical inversion-classification and application in proteomics , 2011, 2011 IEEE Statistical Signal Processing Workshop (SSP).

[15]  Christian P. Robert,et al.  Monte Carlo Statistical Methods (Springer Texts in Statistics) , 2005 .