Mechanism of sequential order determination in bio-Raman correlation analysis

Sota Takanezawa; Yasushi Sako; Yukihiro Ozaki; Shin-ichi Morita

doi:10.1117/12.2018723

20 May 2013 Mechanism of sequential order determination in bio-Raman correlation analysis

Sota Takanezawa, Yasushi Sako, Yukihiro Ozaki, Shin-ichi Morita

Proceedings Volume 8879, Nano-Bio Sensing, Imaging, and Spectroscopy; 887902 (2013) https://doi.org/10.1117/12.2018723
Event: Nano-Bio Sensing, Imaging and Spectroscopy, 2013, Jeju, Korea, Republic of

Abstract

Using the measured Raman spectra of triolein and cholesteryl linolenate, the contradiction caused in determining the sequential orders in the two-dimensional correlation spectroscopy was exemplified, in which time-profiles of four marker bands A, B, C, and D were modeled so that A→B→C→D. Here ‘A→B’ is such notation that we read as ‘A is occurred before B’ or ‘A earlier than B’. The two-dimensional correlation method gave the result B→C→D→A which was contradictive to the initial setting. We confirmed that the increments of distance between the peak positions of the Gaussian type time-profiles ƒ and g, through a threshold, gave the unexpected switch in the sequential order. On the complex plane based on the synchronous and asynchronous axes, the vector g is identical to the synchronous axis in direction; the vector ƒ is crossed through the asynchronous axis corresponding to the increments of distance between the peak positions of ƒ and g. By the conventional rule of the correlation method, the vector ƒ just crossing the asynchronous axis is not allowed to be in the second quadrant, but the vector ƒ is transformed to the fourth quadrant with 180 degrees shifted. In the situation, the vector ƒ is located in the later position for the standard vector g, that is, ƒ is occurred ‘after’ g. Based on the revealed mechanism for the contradiction, the time series correlation analysis may be extended in a more versatile manner to allow bio-Raman correlation analysis on diverse dynamics of bio-molecules in living cells.

Citation Download Citation

Sota Takanezawa, Yasushi Sako, Yukihiro Ozaki, and Shin-ichi Morita "Mechanism of sequential order determination in bio-Raman correlation analysis", Proc. SPIE 8879, Nano-Bio Sensing, Imaging, and Spectroscopy, 887902 (20 May 2013); https://doi.org/10.1117/12.2018723

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