Method for acquiring a spectrum
10788427 ยท 2020-09-29
Assignee
Inventors
- Jean-Charles Baritaux (Seyssinet-Pariset, FR)
- Emmanuelle SCHULTZ (SAINT EGREVE, FR)
- Veronique Rebuffel (Corenc, FR)
Cpc classification
G01N21/6486
PHYSICS
International classification
Abstract
The invention is an iterative method for acquiring a spectrum of a particle that is subjected to an illumination. It may in particular be a Raman spectrum. The method includes successively acquiring spectra that are what are called elementary spectra. These elementary spectra are combined to form a combined spectrum, which may be obtained by summing said elementary spectra. With each elementary spectrum is associated an acceptance criterion that is representative of a variation between said elementary spectrum and the elementary spectra acquired beforehand. Depending on this acceptance criterion, the elementary spectrum is either rejected, or accepted, in which case it is added to the combined spectrum. The invention makes it possible to guard against a degradation of the particle under the effect of an excessive exposure to said illumination.
Claims
1. A method for acquiring a spectrum representative of a particle, comprising the following steps: illuminating the particle with a light source; detecting, using a photodetector, light radiation emitted or scattered by said particle under effect of the illuminating and acquiring a first elementary spectrum from the detected light radiation; performing, in order, steps of: i) forming a combination spectrum from the acquired first elementary spectrum; ii) acquiring a current elementary spectrum; iii) taking into account a reference spectrum; iv) determining an acceptance criterion of the current elementary spectrum, the acceptance criterion corresponding to a deviation between the current elementary spectnim and the reference spectrum; v) depending on the acceptance criterion: accepting the current elementary spectrum and updating the combination spectrum by adding the current elementary spectrum to the combination spectrum resulting from step i), or to the combination spectrum resulting from a preceding iteration of steps ii) to v, or rejecting the current elementary spectrum; vi) reiterating steps ii) to v) if an iteration termination criterion has not been reached, otherwise exiting from the iteration and proceeding to step vii); and vii) determining the spectrum representative of the particle, depending on the combination spectrum obtained in v) of a final iteration before exiting.
2. The method according to claim 1, wherein, after the first iteration of steps ii) to v), the reference spectrum is an average spectrum, representative of an average of elementary spectra forming the combination spectrum resulting from the preceding iteration.
3. The method according to claim 2, wherein the average spectrum is established on the basis of a normalization of elementary spectra forming the combination spectrum, depending on an acquisition time of each elementary spectrum forming the combination spectrum taken into account in each iteration.
4. The method according to claim 1, wherein, in step iv), the acceptance criterion is determined on the basis of a subtraction of the reference spectrum and of the current elementary spectrum.
5. The method according to claim 4, wherein the subtraction is normalized by an indicator of noise in the reference spectrum and in the current elementary spectrum.
6. The method according to claim 1, wherein the reference spectrum is the first elementary spectrum, acquired in step i), or an elementary spectrum acquired in a preceding iteration.
7. The method according to claim 1, wherein the reference spectrum is a spectrum deteimined a priori.
8. The method according to claim 1, wherein the reference spectrum includes one or more regions of interest of the current elementary spectrum.
9. The method according to claim 8, wherein the acceptance criterion is established via a comparison of the current elementary spectrum, in at least one selected region of interest, with the reference spectrum.
10. The method according to claim 1, wherein, in step v), the combination spectrum is updated with a sum of: the current elementary spectrum and the combination spectrum resulting from step i) or the combination spectrum resulting from the preceding iteration, or the current elementary spectrum, to which processing is applied, and the combination spectnim resulting from step i) or the combination spectrum resulting from the preceding iteration.
11. The method according to claim 10, wherein the sum is a weighted sum.
12. The method according to claim 1, wherein, in step vi), the iteration termination criterion corresponds: a preset number of iterations, and/or to the obtainment of a preset number of rejections of current elementary spectra, and/or to the obtainment of a preset number of events in the combination spectrum resulting from step v).
13. The method according to claim 1, wherein, in step ii), each current elementary spectrum is acquired with a same acquisition time.
14. The method according to claim 1, wherein, following a first iteration of steps ii) to v), step ii) includes a step of determining an acquisition time of the current elementary spectrum, depending on [[the]] a value of an acceptance criterion resulting from step iii) of the preceding iteration.
15. The method according to claim 1, wherein the light source generates an illuminating beam that propagates as far as to the particle, and, following a first iteration of steps ii) to v), step ii) includes a step of determining a power of the illuminating beam depending on a value of the acceptance criterion resulting from step iv) of the preceding iteration.
16. The method according to claim 1, wherein the photodetector is a Raman spectrometer, the acquired first elementary spectrum and each current elementary spectrum being a Raman spectrum representative of the particle.
17. The method according to claim 1, wherein the photodetector is a fluorescence spectrometer, the acquired first elementary spectrum and each current elementary spectrum being a fluorescence spectrum of the particle.
18. A device for analyzing a particle, including: a light source; a holder configured to receive the particle; a photodetector configured to detect a response signal, emitted by the particle when the particle is illuminated by the light source, and to form a spectrum therefrom; and a processor that is configured to implement steps i) to vii) of the method according to claim 1, on the basis of a plurality of elementary spectra acquired by the photodetector, so as to form a spectrum representative of the particle.
Description
FIGURES
(1)
(2)
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(8)
(9)
DESCRIPTION OF PARTICULAR EMBODIMENTS
(10)
(11) In this example, the acquired spectrum is a Raman spectrum taking the form of a graph of a Raman shift , which is a difference between the wave number .sub.14 of the detected radiation 14 and the wave number .sub.12 of the illuminating beam 12.
(12) The analyzed particle 21 may be a biological species such as a cell or a microorganism, for example a bacterium, a yeast, a fungus or a spore. The particle 21 may also be a chemical molecule. It may be deposited on a holder 20 or be present in a medium, for example a solid or liquid culture medium. In the examples presented below, the sample is formed from a droplet of an aqueous solution, containing at least one species to be analyzed. The aqueous solution is for example distilled water deposited on a quartz slide. The solution evaporates and the species is analyzed after said solution has evaporated.
(13) The laser power is adjusted so as to obtain an exploitable spectrum in a time shorter than 5 seconds, or even 1 second. The light power of the illuminating beam 12 may for example be 17 mW. It may also be variable. The wavelength of the illuminating beam is 532 nm.
(14)
(15)
(16) The inventors have moreover observed that bacteria, or, generally, biological species, have a sensitivity to photo-degradation that differs depending on their nature.
(17) Using the same operating mode, trials were carried out on species of the Staphylococcus-epidermidis, and Bacillus-subtilis (BS) type. The results of these trials are presented in
(18) The inventors have established an acquiring method allowing an optimal exposure of the analyzed species to be obtained without prior knowledge of the latter. Such an exposure allows a spectrum having peaks the signal-to-noise ratio of which is high to be obtained, without causing degradation of the species by overexposure. The main steps of this iterative method are described below, with reference to
(19) Step 100: illuminating the species with the illuminating beam 12. The power of the illuminating beam may be modified between two successive acquisitions.
(20) Step 110: acquiring a first spectrum S.sub.1, called the first elementary spectrum, during a set first acquisition time T.sub.1. This duration must be short enough to prevent any degradation of the examined species during this first acquisition. It may in particular be comprised between 100 ms and 5 s, and is preferably comprised between 200 ms and 2 s.
(21) Step 120: forming an initial combined spectrum S.sub.C,i=0, from the first elementary spectrum. The initial combined spectrum may in obtained from simple equality relationship, such that in the first iteration S.sub.C,i=0=S.sub.1.
(22) Steps 130 to 160 are then carried out iteratively. Steps 110 and 120 are steps of initialization of this iterative method. The rank of the iteration is designated by the index i. After step 120, the index i has the value 2. To each iteration corresponds a combined spectrum S.sub.C,i1 obtained in a preceding iteration. In the first iteration, the combined spectrum is the initial combined spectrum S.sub.C,i0.
(23) Step 130: acquiring an elementary spectrum S.sub.i called the current elementary spectrum. The term current designates the elementary spectrum acquired in iteration i. Each elementary spectrum S.sub.i may be acquired under the same acquisition conditions as the first elementary spectrum S.sub.1, the optical power of the illuminating beam 12 being unchanged and the exposure duration T.sub.i being comprised in the same range of values as, or being identical to, the first acquisition time T.sub.1.
(24) As a variant, the power P.sub.i of the illuminating beam 12 during an acquisition i may be modulated i.e. increased or decreased. The same goes for the exposure duration T.sub.i. These aspects are described in more detail below.
(25) Step 140: definition of an acceptance criterion C.sub.i of the current elementary spectrum S.sub.i acquired in step 130.
(26) The aim is to evaluate the relevance of the current elementary spectrum S.sub.i, so as either to accept it, i.e. to take it into account in the subsequent steps, or to reject it. This step takes into account a reference spectrum S.sub.ref. In this step, the current elementary spectrum S.sub.i is compared to the reference spectrum S.sub.ref so as to form an acceptance criterion C.sub.i associated with the current elementary spectrum S.sub.i. The acceptance criterion C.sub.i represents a deviation of the current elementary spectrum S.sub.i with respect to the reference spectrum S.sub.ref. When this deviation is too large, the current elementary spectrum is rejected. When the current elementary spectrum differs from the reference spectrum, the current elementary spectrum is assumed to be affected by photo-degradation and it is thus preferable not to take it into account. Examples of acceptance criteria are indicated below.
(27) In this example, the reference spectrum S.sub.ref is formed by a spectrum, called the average spectrum, referenced m.sub.i, that is formed by averaging a plurality of elementary spectra S.sub.1 . . . S.sub.i1 acquired in the preceding iterations. This example is detailed below.
(28) The reference spectrum S.sub.ref may also be formed by a current elementary spectrum S.sub.i1, S.sub.i2 acquired in a preceding iteration. It may be the elementary spectrum S.sub.i1 acquired in the preceding iteration. The acceptance criterion C.sub.i then allows a deviation between the current elementary spectrum and one or more of the most recently acquired current elementary spectra to be determined.
(29) The reference spectrum S.sub.ref may be a preset spectrum, for example a spectrum representative of a target particle that it is desired to verify corresponds to the analyzed particle. The acceptance criterion may then quantify a correlation between the reference spectrum S.sub.ref and the current elementary spectrum S.sub.i, for example by way of a scalar product of the two spectra.
(30) The reference spectrum S.sub.ref may also be formed by one or more regions of interest ROI.sub.ref, called reference regions of interest, of the current elementary spectrum S.sub.i. In this case, the acceptance criterion may correspond to a deviation between a selected region of interest ROI.sub.s of the current elementary spectrum S.sub.i, and the reference regions of interest ROI.sub.ref of the current elementary spectrum. In other words, according to this variant, the acceptance criterion includes a comparison between a (or more than one) selected region(s) of interest ROI.sub.s of the current elementary spectrum and a (or more than one) reference region(s) of interest ROI.sub.ref of the current elementary spectrum. For example, a selected region of interest ROI.sub.s corresponds to a spectral band in which a peak, or a deformation of the spectrum, may appear during the appearance of photo-damage. The reference regions of interest ROI.sub.ref may lie on either side of the selected region of interest. Comparison of the selected region of interest ROI.sub.s and the reference regions of interest ROI.sub.ref of the current elementary spectrum allows the appearance of a peak, or of a deformation, resulting from the appearance of photo-damage, to be detected.
(31) The acceptance criterion C.sub.i may be formed by a combination of a plurality of elementary acceptance criteria, each elementary acceptance criterion resulting from a comparison with a different reference spectrum.
(32) Step 150: updating the combined spectrum. Depending on the value of the acceptance criterion C.sub.i determined in step 140, relatively to the reference spectrum S.sub.ref, the current elementary spectrum S.sub.i is either accepted, or rejected. In the case where it is accepted, the combined spectrum S.sub.C,i is updated with a sum with the combined spectrum obtained in the preceding iteration i1, the sum optionally being weighted. Thus, S.sub.C,i=S.sub.C,i1+p.sub.iS.sub.i (1), where p.sub.i is a weighting term. The weighting term is generally equal to 1.
(33) The current elementary spectrum S.sub.i may be subject to processing before being added to the combined spectrum S.sub.C,i1 obtained in the preceding iteration. Examples of possible types of processing are for example smoothing and/or baseline subtraction. When the power P.sub.i of the illuminating beam 12 varies between the various iterations, the elementary spectrum may be corrected with a correcting function f.sub.i taking into account said power. Such a correcting function in particular allows the acquired spectrum to be normalized with respect to a preset power value, for example a unitary value. Such a normalization is described in detail below.
(34) When the current elementary spectrum S.sub.i is rejected, the combined spectrum S.sub.C,i does not change and remains such as it was before the acquisition of the current elementary spectrum: S.sub.C,i=S.sub.C,i1 (1).
(35) By comparison of the current elementary spectrum S.sub.i and a reference spectrum S.sub.ref, what is meant is an operation implementing a subtraction or a ratio, the subtraction or ratio possibly being normalized. It may also involve a calculation of a quantity expressing a correlation between the two spectra, for example by way of a scalar product of vectors representing the current elementary spectrum and the reference spectrum, respectively.
(36) Step 160: reiterating or exiting from the algorithm. Provided that an iteration-termination criterion has not been reached, the method reiterates steps 130 to 160, while incrementing the iteration index i, so as to allow the combined spectrum S.sub.C,i to be updated with a new current elementary spectrum S.sub.i. When the iteration-termination criterion is met, the method passes to step 170.
(37) The iteration-termination criterion may be a preset number N.sub.i of iterations i. The iteration-termination criterion may also be established depending on the acceptance criterion C.sub.i calculated in step 140. Thus, the iteration-termination criterion may be considered to be met when a current elementary spectrum S.sub.i is rejected. In other words, provided that each current elementary spectrum is accepted, the iterations continue and the combined spectrum S.sub.C,i is updated in each iteration, by combination with each current elementary spectrum S.sub.i. When a current elementary spectrum is rejected, the observed species is considered to have undergone photo-degradation. From this point on, the current elementary spectrum S.sub.i is considered to no longer be representative of the analyzed species 21 and the formation of the combined spectrum S.sub.C,i is stopped. The iteration-termination criterion may also be met when a plurality of successive elementary spectra are rejected, for example 2 or 3 successive elementary spectra. The iteration criterion may also correspond to a maximum number of detections counted in one or more peaks of the combined spectrum.
(38) Step 170: on the basis of the combined spectrum S.sub.C,i obtained in the last iteration, i.e. in the step 150 preceding said step 170, a spectrum S representative of the analyzed species 21 is established. This spectrum may be obtained via a simple equality relationship, such that S=S.sub.C,i.
(39) A spectrum S of the analyzed species is thus formed by gradually combining elementary spectra S.sub.i. The cumulative acquisition time of this spectrum is: T=.sub.iT.sub.i
EXAMPLES OF ACCEPTANCE CRITERIA
(40) As indicated above, the acceptance criterion C.sub.i associated with each current elementary spectrum S.sub.i represents a deviation of each current elementary spectrum S.sub.i with respect to a reference spectrum S.sub.ref. The reference spectrum may be the elementary spectrum S.sub.i1 acquired in the preceding iteration; an average spectrum m.sub.i, calculated by taking an average of elementary spectra S.sub.1 . . . S.sub.i1 forming the combined spectrum S.sub.C; the combined spectrum S.sub.C, the latter being divided by the acquisition time T.sub.i of the current spectrum S.sub.i
(41) According to one example, the reference spectrum S.sub.ref is an average spectrum m.sub.i obtained by averaging all of the i1 elementary spectra S.sub.1 . . . S.sub.i1 forming the combined spectrum prior to the acquisition of the current elementary spectrum S.sub.i. Thus, an acceptance criterion C.sub.i may be established such that:
(42)
(43) When the acquisition times of the elementary spectra S.sub.1 . . . S.sub.i1 are identical, the value m.sub.k,i, in each channel k, of the average spectrum m.sub.i may be:
(44)
(45) When the acquisition times of the various elementary spectra are variable, the value m.sub.k,i, in each channel k, of the average spectrum m.sub.i may be:
(46)
(47) S.sub.k,j.sup.norm is a normalized spectrum, taking into account a unitary acquisition time, with, when the power of the light beam is constant:
(48)
(49) When the power of the light beam used to obtain the elementary spectra varies, it is possible to establish a correcting function so as to obtain, from each measured spectrum, a normalized spectrum each channel k of which has the value
(50)
where f.sub.j is a correcting function that is established experimentally, and that takes into account the power P.sub.j of the illuminating beam 12 during the acquisition of an elementary spectrum S.sub.j. The correction function may be established in a calibrating phase on a calibrating object, by modulating the power of the illuminating beam 12 on the calibrating object and by comparing the obtained spectra.
(51) It will be noted that the sum established in equation (2), or in equation (7) below, may be restricted to channels present in one or more regions of interest ROI of the spectrum. These regions of interest may have been preset.
(52) Another expression of the acceptance criterion is:
(53)
where
S.sub.i=S.sub.iS.sub.i.sup.l (8);
.sub.s,k,i.sup.2 may b e estimated using the following expression:
(54)
m.sub.i=m.sub.im.sub.i.sup.l (10);
.sub.m,k,i.sup.2 may be estimated using the following expression:
(55)
(56) Those skilled in the art will be able to define other acceptance criteria than those described with reference to expressions (2) and (7).
(57) Moreover, expressions (2) and (7) may be applied to reference spectra S.sub.ref other than the average spectrum m.sub.i.
(58) When the acceptance criterion C.sub.i exceeds a previously defined certain threshold, the current elementary spectrum S.sub.i is rejected. When the acceptance criterion C.sub.i is below said threshold, the current elementary spectrum S.sub.i is accepted and combined with the combined spectrum S.sub.C,i1 resulting from the preceding iteration.
(59) According to one embodiment, the acquisition time T.sub.i of a current elementary spectrum S.sub.i is determined depending on the value of the acceptance criterion C.sub.i1 established in the preceding iteration. Depending on this value, the acquisition time may be increased or decreased. For example, if the acceptance criterion is getting close to the rejection threshold, the acquisition time may be decreased.
(60) According to one embodiment, the power P.sub.i of the illuminating beam 12, during the acquisition of a current spectrum S.sub.i, is determined depending on the value of the acceptance criterion C.sub.i1 established in the preceding iteration. Depending on this value, the power of the illuminating beam 12 may be increased or decreased. For example, if the acceptance criterion is getting close to the rejection threshold, the power of the illuminating beam may be decreased. The power of the illuminating beam may also be modulated according to a predefined sequence.
(61) The modulation of the power of the illuminating beam is particularly advantageous when the analyzed particle might be a bacterium in the spore or non-sporulated state. The inventors have observed that it is necessary, to obtain an exploitable Raman spectrum from a spore, for the illuminating power to be relatively low, whereas a higher power is necessary to obtain an exploitable Raman spectrum from a non-sporulated bacterium. Thus, when the examined particle is unknown, it is best to carry out the first acquisitions at a relatively low power, for example 7 mW, then to gradually increase the power over the course of the iterations, for example to 12 mW, then 20 mW, then 40 mW.
(62) The modulation of the acquisition time and/or power may also be determined, in each iteration, depending on a signal-to-noise ratio of the combined spectrum updated in the preceding iteration.
(63) According to one embodiment, when a current elementary spectrum is accepted, it undergoes a smoothing operation before being added to the combined spectrum resulting from the preceding iteration S.sub.C,i1. Thus, the combined spectrum, resulting from each iteration, is obtained by adding a smoothed current elementary spectrum, expression (1) being replaced by: S.sub.C,i=S.sub.C,i1+S.sub.i.sup.l (12). Apart from a simple smoothing, the current spectrum may undergo other processing operations known to those skilled in the art before being added to the combined spectrum S.sub.C,i1, for example a baseline-removal operation.
(64)
(65)
(66)
(67)
(68)
(69) The advantage of the method is that the acquisition time of a spectrum is not initially set and is optimized so as to maximize the number of elementary spectra that are representative of the bacterium. Thus, in contrast to the prior art, the cumulative acquisition time T self-adjusts, the acquisition being stopped on detection of a photo-degradation in one or more elementary spectra.
(70) The method described above has been tested on bacteria of Bacillus-subtilis type.
(71) SNR is the signal-to-noise ratio of each spectrum S. One possible expression for the signal-to-noise ratio is:
(72)
where: S.sub.k.sup.l is the content of each channel k of a smoothed spectrum S.sup.l obtained by smoothing the spectrum S resulting from the accumulation of the elementary spectra; S.sub.k is the content of each channel of a spectrum S obtained by subtracting the smoothed spectrum S.sup.l from the spectrum S; and ROI.sub.1 and ROI.sub.2 designate regions of interest of the spectrum including K.sub.1 and K.sub.2 channels, respectively.
(73)
(74)
(75)
(76) These figures illustrate the need to optimize the number of elementary spectra to be accumulated and the acquisition time of each elementary spectrum, if spectra the signal-to-noise ratio of which is optimal are to be obtained. It may be seen here that the accumulation of too many elementary spectra of low acquisition time, in the present case 100 ms, leads to the obtention of spectra having a quite unsatisfactory signal-to-noise ratio. This is due to the read noise of each elementary spectrum accumulating in the combined spectrum, this combined noise increasing as the number of combined elementary spectra increases.
(77) With this type of bacterium, elementary acquisition times of 500 ms or 1 s lead to optimal results in terms of signal-to-noise ratio provided that the cumulative acquisition time exceeds 7 s. Moreover, it may be seen that the signal-to-noise ratio of spectra acquired according to the invention is similar to the signal-to-noise ratio of a spectrum acquired using a comparable acquisition time. It is known that, at equal acquisition time, a spectrum obtained by summing a plurality of elementary spectra has a lower signal-to-noise ratio than a spectrum acquired in a single acquisition. However, the experimental trials described above show that the difference is negligible, provided that the signal-to-noise ratio of each elementary spectrum is sufficient, in particular as regards read noise.
(78) The invention was described in the context of analysis of bacteria but it is applicable to any other type of biological species, or even any other type of particle sensitive to overexposure. Moreover, it is also applicable to the acquisition of fluorescence spectra, the radiation 14 detected by the photodetector being fluorescence radiation the spectrum of which is acquired. In this case, the light source 10 is a source able to emit an illuminating beam 12 able to cause the emission of fluorescence radiation 14 by the analyzed species.
(79) The invention is in particular applicable to the monitoring of bacterial cultures, to the inspection of biological samples, or to the inspection of samples sampled from the environment in the food-processing industry or other industrial fields.