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A signal separation technique for sub-cellular imaging using dynamic optical coherence tomography

by H. Ammari and F. Romero and C. Shi

(Report number 2016-37)

Abstract
This paper aims at imaging the dynamics of metabolic activity of cells. Using dynamic optical coherence tomography, we introduce a new multi-particle dynamical model to simulate the movements of the collagen and the cell metabolic activity and develop an efficient signal separation technique for sub-cellular imaging. We perform a singular-value decomposition of the dynamic optical images to isolate the intensity of the metabolic activity. We prove that the largest eigenvalue of the associated Casorati matrix corresponds to the collagen. We present several numerical simulations to illustrate and validate our approach.

Keywords: Doppler optical coherence tomography, signal separation, spectral analysis, singular value decomposition, dynamic cell imaging

@Techreport{ARS16_674,
  author = {H. Ammari and F. Romero and C. Shi},
  title = {A signal separation technique for sub-cellular imaging using dynamic optical coherence tomography},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2016-37},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2016/2016-37.pdf },
  year = {2016}
}

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