OPTICAL METHOD FOR TRACKING THE IN-VITRO AMPLIFICATION OF A NUCLEOTIDE SEQUENCE
20180238788 ยท 2018-08-23
Assignee
Inventors
- Cedric Allier (Grenoble, FR)
- Melissa Baque (Grenoble, FR)
- Thomas Bordy (Grenoble, FR)
- Anne-Gaelle Bourdat (Nantoin, FR)
- Daniel Vellou (Seyssinet, FR)
Cpc classification
G01N2015/0222
PHYSICS
G01N21/75
PHYSICS
G01N15/1468
PHYSICS
G01N2021/755
PHYSICS
G01N21/272
PHYSICS
International classification
Abstract
The invention relates to a method for tracking the amplification of a sequence of nucleotides in a sample (10). The sample is placed between a light source (12) and an image sensor (16). Under the effect of amplification reagents, mixed with the sample, a nucleotide sequence, called the target sequence, is replicated iteratively, amplifying the target sequence. The method includes the acquisition of an image representative of the formation of a precipitate in the sample under the effect of the amplification, on the basis of which an image of interest is formed. The application of a statistical indicator to the image of interest allows an indicator of the amplification of the target sequence to be determined.
Claims
1. A method for tracking the in-vitro amplification of a nucleotide sequence contained in a sample, the amplification aiming to replicate said nucleotide sequence via a polymerase DNA enzyme, the method comprises the following steps: a) mixing the sample with a reaction medium so as to obtain multiple replications of a preset nucleotide target sequence, the mixing being carried out at an initial time; b) illuminating the sample using a point light source, the point light source emitting, in an illumination spectral band, an incident light wave that propagates toward the sample; c) acquiring, using an image sensor, a two-dimensional image of the sample, the sample being placed between the point light source and the image sensor such that the image sensor is exposed to an exposure light wave having passed through the sample, the acquisition being carried out at an acquisition time subsequent to the initial time; d) on the basis of the acquired image, forming an image of interest that is representative of the formation of a precipitate in the sample under the effect of the amplification; and e) determining an indicator, called the amplification indicator, depending on a distribution of the intensity of the pixels in all or part of the image of interest, the amplification indicator being representative of a replicated amount of target sequences; wherein, in step c), the image is acquired in the illumination spectral band.
2. The method of claim 1, wherein, in step d), the image of interest is formed by the acquired image or by a region of interest of the acquired image.
3. The method of claim 1, wherein the amplification indicator is determined depending on a dispersion of the intensity of the pixels in the image of interest.
4. The method of claim 1, wherein step d) comprises the following substeps: di) to all or part of the image acquired in step c), applying a propagation operator so as to calculate a complex amplitude of the exposure light wave, on a reconstruction surface lying facing the image sensor; and dii) on the basis of the complex amplitude, forming an image, called the reconstructed image, representative of the modulus and/or phase of the complex amplitude on the reconstruction surface, the reconstructed image forming the image of interest.
5. The method of claim 1, wherein, in step e), the amplification indicator is obtained from a moment of order strictly higher than 1 of the distribution of the pixel intensity of the image of interest.
6. The method of claim 1, wherein the amplification indicator is obtained from a variance or a standard deviation of the distribution of the pixel intensity of the image of interest.
7. The method of claim 1, wherein steps a) to e) are carried out at various acquisition times, the method then comprising, a step f), temporally tracking the value of the amplification indicator at said acquisition times.
8. The method of claim 1, comprising a step g) of detecting a time, called the threshold time, at which the amplification indicator passes a threshold value, so as to obtain a time span between the threshold time and the initial time.
9. The method of claim 1, wherein the amplification is achieved by polymerase-chain-reaction amplification and in particular isothermal polymerase-chain-reaction amplification.
10. The method of claim 1, wherein the sample is contained in a fluidic chamber the thickness of which is smaller than 1 mm, the area of the sample observed by the image sensor being larger than 10 mm.sup.2.
11. The method of claim 1, wherein the exposure light wave includes an incident light-wave portion having passed through the sample and a diffracted wave resulting from diffraction by the sample of the incident light wave, the diffraction resulting from the precipitate within the sample.
12. The method of claim 1, wherein no magnifying optics are placed between the image sensor and the sample.
13. A device for tracking the in-vitro amplification of a sequence of nucleotides in a sample, the device comprising: a point light source configured to emit an incident light wave that propagates toward the sample; a holder, configured to hold the sample between the light source and an image sensor; and a processor configured to receive an image of the sample, which image is acquired by the image sensor, and to implement steps c) to e) of the method of claim 1.
14. The device of claim 13, wherein no image-forming optics are placed between the image sensor and the holder.
Description
FIGURES
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DESCRIPTION OF PARTICULAR EMBODIMENTS
[0059]
[0060] The sample 10 is a sample including a nucleotide sequence, called the target sequence, that it is desired to replicate. This nucleotide sequence may in particular be a fragment of DNA. The sample also contains reagents, forming a reaction medium, allowing DNA fragments to be replicated, this process also being referred to as amplification. The amplification factor, i.e. the number of sequences replicated from a target sequence, may exceed 10.sup.2 or even 10.sup.6 or more. The sample is liquid. Amplification reagents are commercially available, in particular in the form of kits.
[0061] The sample 10 is, in this example, contained in a fluidic chamber 15. The fluidic chamber 15 is for example a fluidic chamber of thickness e=250 m. The thickness e of the fluidic chamber 15, along the propagation axis Z, typically varies between 10 m and 1 cm, and is preferably comprised between 20 m and 500 m. The sample 10 lies in a plane P.sub.10, called the sample plane, preferably perpendicular to the propagation axis Z. It is held on a holder 10s at a distance d from an image sensor 16. The area over which the sample extends, parallelly to the image sensor 16, is preferably larger than 1 mm.sup.2 and is preferably larger than 5 mm.sup.2 or even 10 mm.sup.2. Thus, preferably, the sample is not very thick (less than 1 mm thick) and extends over an area of several mm.sup.2. Such a configuration allows the sensitivity of the method to be increased, as described below with regard to the experimental trials. A radiator 19 allows the sample, contained in the fluidic chamber, to be maintained at a set-point temperature, a set-point temperature comprised between 60 C. and 65 C. for example.
[0062] The distance D between the light source 11 and the sample 10 is preferably larger than 1 cm. It is preferably comprised between 2 and 30 cm. Advantageously, the light source, seen by the sample, may be considered to be point like. This means that its diameter (or its diagonal) is preferably smaller than one tenth, and better still one hundredth, of the distance between the sample and the light source. The light source 11 may be a light-emitting diode or a laser diode. When the light source is a light-emitting diode, it is preferably associated with a diaphragm 18 i.e. a spatial filter. The aperture of the diaphragm is typically comprised between 5 m and 1 mm and is preferably comprised between 50 m and 500 m. In this example, the diaphragm is the Thorlabs diaphragm of reference P150S, and its diameter is 150 m. The diaphragm may be replaced by an optical fiber playing the role of spatial filter, one end of which is placed facing the light source 11 and the other end of which is placed facing the sample 10.
[0063] The device may include a diffuser 17, placed between the light source 11 and the diaphragm 18. The use of such a diffuser allows constraints on the centrality of the light source 11 with respect to the aperture of the diaphragm 18 to be relaxed. The function of such a diffuser is to scatter the light beam produced by the light source over a cone of angle . Preferably, the scattering angle varies between 10 and 80. The presence of such a diffuser allows the device to be made more tolerant to decentering of the light source with respect to the diaphragm. The diaphragm 18 is not essential, in particular when the light source is sufficiently point-like and especially when it is a laser source.
[0064] Preferably, the emission spectral band of the incident light wave 12 has a width smaller than 100 nm. By spectral bandwidth, what is meant is a full width at half maximum of said spectral band.
[0065] The sample 10 is placed between the light source 11 and the aforementioned image sensor 16. The latter preferably lies parallel, or substantially parallel, to the plane P.sub.10 in which the sample lies. The term substantially parallel means that the two elements may not be rigorously parallel, an angular tolerance of a few degrees, smaller than 20 or 10, being acceptable.
[0066] The image sensor 16 is able to form an image I.sub.0 of the sample in a detection plane P.sub.0. In the example shown, the image sensor 16 includes a matrix-array of pixels, of CCD or CMOS type. The detection plane P.sub.0 is preferably perpendicular to the propagation axis Z of the incident light wave 12. The distance d between the sample 10 and the matrix-array of pixels of the image sensor 16 is preferably comprised between 50 m and 2 cm and preferably comprised between 100 m and 2 mm. The detection area of the image sensor is preferably larger than 10 mm.sup.2.
[0067] The absence of magnifying optics between the image sensor 16 and the sample 10 will be noted. This does not prevent focusing microlenses possibly being present level with each pixel of the image sensor 16, these lenses not having the function of magnifying the image acquired by the image sensor. The absence of magnifying optics allows the image sensor to be placed close to the sample, in the distance range described in the preceding paragraph. This increases the compactness of the device.
[0068] Prior to the acquisition of an exploitable image, the sample is mixed with amplification reagents, forming a reaction medium, apt to engender an amplification of the target sequence. The reaction medium in particular contains: [0069] primers, able to hybridize on either side of the target sequence, the typical length of these primers for example being comprised between 10 and 50 nucleotides; [0070] a polymerase enzyme (many polymerase enzymes are commercially available at the present time); [0071] deoxynucleotide solutions; and [0072] a buffer, the composition of which depends on the type and characteristics of the enzyme used. The buffer may in particular include magnesium ions, for example in the form of magnesium chloride. The magnesium ions catalyze the action of the polymerase enzyme. The buffer includes ions allowing an insoluble precipitate to be obtained from the pyrophosphate ions formed by the amplification. The buffer may also include manganese ions.
[0073] In the preferred embodiment, the target sequence is amplified by LAMP amplification, such as described with reference to the prior art. The fact that the amplification is isothermal simplifies the process and the design of the device implementing the invention, since the sample is held at a constant temperature, typically between 60 C. and 65 C. It has been observed, in the prior art, that replication of the target sequence liberates pyrophosphate ions P.sub.2O.sub.7.sup.4. The latter interact with the Mg.sup.2+ ions to form a complex [Mg].sup.2+[P.sub.2O.sub.7] (magnesium pyrophosphate) that appears in the form of a magnesium-pyrophosphate precipitate 10p. The formation of precipitates from other ions, Mn.sup.2+ ions for example, is also possible.
[0074] Thus, as the amplification of the target sequence progresses, the concentration of magnesium pyrophosphate increases, thereby increasing the scattering coefficient of the sample; the sample becomes turbid and scatters light more. Moreover, the higher the magnesium pyrophosphate concentration, the more the incident light wave is diffracted by the sample.
[0075] The inventors have observed that the formation of an image of the sample allows early observation of the formation of the precipitate 10p formed by the pyrophosphate ions during the amplification process. This allows the amplification to be tracked visually in a large sample area. Rather than detecting, using a photodiode, a variation in the intensity of a light beam passing through a sample thickness of a few millimeters, as in the prior art, the inventors have observed that it is preferable to form an image of a light beam passing through a small thickness of sample, the acquired image being of a large detection area, typically a detection area larger than 5 mm.sup.2 and preferably larger than 10 mm.sup.2. In other words, a small-thickness/large-area configuration is preferable to the large-thickness/small-area configuration of the prior art.
[0076] Under the effect of the incident light wave 12, the precipitates 10p formed in the sample may engender a diffracted wave 13, liable to interfere, in the detection plane P.sub.0, with a portion of the incident light wave that is not absorbed by the sample and that is transmitted by the latter. Moreover, the sample 10 may absorb a portion of the incident light wave 12, in particular when it is colored. Thus, the light wave 14, called the exposure light wave, which is transmitted by the sample and to which the image sensor 16 is exposed, may comprise: [0077] a component 13 resulting from diffraction of the incident light wave 12 by the sample, and in particular by the precipitates 10p formed in the latter; and [0078] component 12 including a portion of the incident light wave 12 transmitted by the sample, after partial absorption of the latter by the sample.
[0079] These components interfere in the detection plane. Thus, the image acquired by the image sensor contains interference patterns (or diffraction patterns), the latter resulting from the precipitates 10p formed in the sample. The reason these diffraction patterns are obtained is that the incident light wave 12 is produced by a spatially coherent source. It reaches the sample in the form of plane waves. The component 12 resulting from the absorption of the incident light wave 12 reaches the image sensor 16 in the form of plane waves, this being propitious to the obtainment of interference patterns in the detection plane.
[0080] A processor 20, for example a microprocessor, is configured to process each image I.sub.0 acquired by the image sensor 16. In particular, the processor is a microprocessor connected to a programmable memory 22 in which is stored a sequence of instructions for performing the image-processing and calculating operations described in this description. The processor may be coupled to a screen 24 allowing images acquired by the image sensor 16 or processed by the processor 20 to be displayed.
[0081] The use of a fluidic chamber 15 of small thickness, typically smaller than 1 mm, and preferably smaller than 500 m, or even 100 m, is particularly appropriate when the samples are colored, for example when the samples contain blood. The small thickness of the chamber allows the absorption of the light passing through the sample to be minimized. Moreover, acquiring an image I.sub.0 of a large area, larger than 5 mm.sup.2 or 10 mm.sup.2, allows a region of interest ROI, or a plurality of regions of interest, propitious to the determination of an amplification indicator k to be identified. The identification of regions of interest in the acquired image I.sub.0 allows the formation of precipitates 10p in the fluidic chamber 15, reflecting an amplification of the target sequence, to be detected early.
[0082] According to a first embodiment, on the basis of the image I.sub.0 acquired by the image sensor 16, an image I, called the image of interest, is formed. The image of interest I corresponds to the acquired image I.sub.0 or to a region of interest ROI selected in the acquired image I.sub.0. The inventors have observed that it is preferable to use indicators expressing a dispersion of the intensity of the pixels of the image of interest, rather than indicators based on a mean or median of the intensity of the pixels of the image. Such a dispersion may be quantified by a variance or a standard deviation, or, generally, using a moment of order higher than 1 of a distribution of the intensity of the pixels of the image of interest. The dispersion indicator may be a moment of the distribution, in particular a moment m.sub.r of order r strictly higher than 1 of the distribution. The dispersion indicator may for example be obtained from the skewness (standardized moment of order 3) or from the kurtosis (standardized moment of order 4).
[0083]
[0084] Step 100: preparation of the sample: in this step, the sample 10, containing an initial amount of target sequences, is mixed with a reaction medium allowing the target nucleotide sequence to be amplified and an insoluble precipitate 10p to be formed, then introduced into the fluidic chamber 15. The time t.sub.0 corresponding to the mixing is called an initial time.
[0085] Step 110: image acquisition. The sample 10 is illuminated with the light source 11 and an image I.sub.0 is acquired with the image sensor 16.
[0086] Step 120: selection of a zone of interest. A region of interest ROI is selected in the acquired image. This step is optional, the region of interest possibly being the entire acquired image.
[0087] Step 130: determination of an amplification indicator k from the image I.sub.0 acquired in step 110 or of the zone of interest ROI selected in step 120. The amplification indicator k is preferably representative of a texture of the image or of a dispersion of the intensity of the pixels of the image. It may in particular be obtained from a moment of the distribution of the pixels and more particularly a moment of order strictly higher than 1.
[0088] Steps 110 to 130 may be reiterated so as to obtain, at various times t, acquired images I.sub.0(t) and/or images of interest I(t), an amplification indicator k(t) being determined for each image of interest. This allows a temporal variation in the amplification factor k(t) to be obtained. It is then possible to determine a time, called the threshold time t.sub.s, at which the amplification indicator passes a threshold value k.sub.th. The threshold value k.sub.th may be a set value that is determined beforehand, for example in trials on known standard calibration samples. The time span t between the threshold time t.sub.s and the initial time t.sub.0 depends on the amount of target sequences at the initial time. The longer the time span t, the lower the initial amount of target sequences. The threshold time t.sub.s is determined in step 140.
[0089] A series of trials has been carried out, using a sample of a solution of purified DNA extracted from an Escherichia coli culture and placed in a Countess fluidic chamber of 250 m thickness, the examined volume being 8 mm.sup.3, i.e. 8 l. The target nucleotide sequence is the gene E. coli mal B.
[0090] The reaction medium contained: [0091] a buffer supplied by NEB under the reference B0537S, containing 20 mM of Tris-HCl buffer, 50 mM KCl, 10 mM (NH.sub.4).sub.2SO.sub.4, 2 mM MgSO.sub.4, and 0.1% Tween (registered trademark) 20, the pH being 8.8 at 25 C.; [0092] 1.2 mM of a kit of free deoxyribonucleotide triphosphate (dNTP) solutions, supplied by Sigma-Aldrich under the reference DNTP100A-1KT; [0093] 0.32 U/l of the DNA polymerase enzyme Bst3 (Bacillus stearothermophilus), U being the enzyme unit; [0094] 0.8 M of betaine (Sigma-Aldrich B0300); and [0095] 4 mM MgSO.sub.4 (Sigma-Aldrich B1003S), so as to obtain Mg.sup.2+ ions in the reaction medium.
[0096] The primers used are described in the publication [Hill 2008] cited in the prior art, and described in the listing appended to the description. It is a question of: [0097] GCCATCTCCTGATGACGC) (SEQ ID NO: 1) (outer forwardconcentration 0.2 M; [0098] ATTTACCGCAGCCAGACG) (SEQ ID NO: 2) (outer backwardconcentration 0.2 M); [0099] CTGGGGCGAGGTCGTGGTATTCCGACAAACACCACGAATT) (SEQ ID NO: 3) (inner forwardconcentration 1.6 M); [0100] CATTTTGCAGCTGTACGCTCGCAGCCCATCATGAATGTTGCT) SEQ ID NO: 4) (inner backwardconcentration 1.6 M); [0101] CTTTGTAACAACCTGTCATCGACA) (SEQ ID NO: 5) (loop forwardconcentration 0.8 M); [0102] ATCAATCTCGATATCCATGAAGGTG) (SEQ ID NO: 6) (loop backwardconcentration 0.8 M).
[0103] A base solution was elaborated, containing an amount of about 10.sup.6 copies of the target sequence per microliter. This amount was evaluated using a reference method (the Qubit method).
[0104] The other elements of the experimental set-up were as follows: [0105] light source 11: Cree MC-E Color light-emitting diode, this diode including three light-emitting diodes respectively emitting in the following spectral bands : 450 nm-465 nm; 520 nm-535 nm; 620 nm-630 nm. In this example, a single diode, the diode emitting in the 450 nm-465 nm spectral band, was activated for each illumination; [0106] image sensor 16: monochromic CMOS sensor of 38402748 pixels, each pixel having a side length of 1.67 m, the detection area being about 30 mm.sup.2, the observed field being 6.4 mm4.6 mm; [0107] distance D between the light source 11 and the sample 10: 5 cm; [0108] distance d between the sample 10 and the image sensor 16: 2 mm; [0109] thickness e of the fluidic chamber 15: 250 m; [0110] diameter of the aperture of the spatial filter 18: 150 m; and [0111] temperature of the sample: 65 C.
[0112] The sample was mixed with the reaction medium at the initial time to, then the mixture was introduced into the fluidic chamber 15.
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[0115]
[0116] The inventors have observed that the use of moments, and in particular the variance or standard deviation, allows the variation in the turbidity of the image, resulting from the formation of magnesium-pyrophosphate precipitates under the effect of the amplification process, to be quantified. With each image may be associated an indicator, called the amplification indicator, calculated from such moments. Trials were carried out with various samples, respectively containing an initial amount of target sequence evaluated to be 21 copies (samples A1 and A2), 210 copies (samples B1 and B2), 2100 copies (samples C1 and C2), 21000 copies (samples D1 and D2) and 210000 copies (samples E1 and E2). Trials were also carried out on two samples called negative control samples, containing the reaction medium but no target nucleotide sequence (samples N1 and N2). The images were acquired at an acquisition frequency of 1 image per minute. In each acquired image, a region of interest was selected visually, and the standard deviation of a gray-scale distribution of the pixels was determined in the region of interest. When the initial amount of target sequences exceeded 20000 copies, the region of interest was the entire acquired image.
[0117]
[0124] For each amount in question of target sequences, two different samples were examined. It was observed that it was possible to detect an amplification when the initial amount of target sequences was small, for example 20 copies in 8 l. The length of time t required before amplification is detected theoretically depends on the initial amount of target sequences. In
[0125] When the initial amount is increased, for example to 2.110.sup.4, 2.110.sup.5 or 2.110.sup.6 copies, the detection is quantitative, the time t.sub.s at which the threshold is crossed being correlated to the amount of target sequence initially present in the sample. An example of the length of time t taken to cross the threshold and the crossover time t.sub.s is shown in
[0126] These trials show that the standard deviation of each acquired image forms an exploitable amplification indicator.
[0127]
[0128] In another series of trials, the inventors have verified that a variation in the turbidity of a sample may be observed under the effect of the formation of compounds other than magnesium pyrophosphate. Thus, the device described above was employed to detect the formation of manganese pyrophosphate MnP.sub.2O.sub.7. Various samples including an aqueous solution of manganese chloride Cl.sub.2Mn, of 4 mM concentration, were observed with the device. The samples contained either potassium phosphate (K.sub.3PO.sub.4), or potassium pyrophosphate (K.sub.4P.sub.2O.sub.7), the concentration of K.sub.3PO.sub.4 or of K.sub.4P.sub.2O.sub.7 varying between 0 and 2 mM. A manganese-containing precipitate forms only in the presence of potassium pyrophosphate, potassium phosphate being a monophosphate. One image was acquired for each sample. In each acquired image, one or more regions of interest corresponding to a structured portion of the image were delineated, analogously to
The same experiment was carried out again, using samples containing a concentration of 4 mM of magnesium sulfate (MgSO.sub.4). The samples either contained potassium phosphate (K.sub.3PO.sub.4) or potassium pyrophosphate (K.sub.4P.sub.2O.sub.7), the concentration in K.sub.3PO.sub.4 or in K.sub.4P.sub.2O.sub.7 varying between 0 and 2 mM. Just as in the preceding experiment, a magnesium-containing precipitate formed only in the presence of potassium pyrophosphate. Similarly to what was described with reference to
[0129] This shows that the device allows small amounts of pyrophosphate precipitates (i.e. amounts larger than or equal to 0.5 mM or 1 mM) to be observed, whether the precipitate is magnesium pyrophosphate or manganese pyrophosphate.
[0130] According to one embodiment, the reaction medium includes an initial amount of pyrophosphate ions, for example in a concentration preferably lower than 0.5 mM, 0.4 mM for example. These ions may result from the introduction, into the sample, of a pyrophosphate salt, K.sub.4P.sub.2O.sub.7 for example. This allows the amount of pyrophosphate ions resulting from the amplification and allowing said amplification to be detected optically, for example using the amplification indicator described above, to be decreased. The crossing of the threshold k.sub.th (which was mentioned with reference to
[0131] In another series of trials, images were respectively acquired with and without a spatial filter 18 placed between the light source 11 and the fluidic chamber 15.
[0132] A series of images was acquired of each of the samples G1, G2, G3 and G4: two series of images were acquired with a spatial filter 18 (samples G1 and G2) between the fluidic chamber 15 and the light source 11, and two series of images were acquired without a spatial filter (samples G3 and G4). In each image, a standard deviation, playing the role of amplification indicator, was calculated.
[0133] These trials show that the method is essentially based on spatialized detection of diffraction patterns formed by the precipitates 10p, unlike prior-art methods based on attenuation of an incident light beam. The method according to the invention allows precipitates resulting from the amplification of the target sequence to be detected earlier.
[0134] According to one embodiment, the indicator for tracking the amplification is established from an image of interest resulting from application of a numerical propagation operator to the acquired image I.sub.0. Specifically, the acquired image may not sufficiently represent the sample and a more exploitable representation may be obtained, from the acquired image, by applying a propagation operator so as to calculate a quantity representative of the exposure light wave 14 to which the image sensor 16 is exposed. Such a method, which is referred to as holographic reconstruction, in particular allows an image of the modulus or phase of this light wave 14 to be reconstructed in a reconstruction plane parallel to the detection plane P.sub.0, and in particular in the plane P.sub.10 in which the sample lies. To do this, the image I.sub.0 acquired by the image sensor 16 is convoluted with the propagation operator h in order to obtain a convolution product. It is then possible to calculate a complex expression A for the light wave 14 at any point of spatial coordinates (x, y, z), and in particular on a reconstruction surface lying facing the image sensor. The reconstruction surface may in particular be a reconstruction plane P.sub.z located at a distance |z| from the image sensor 16, this reconstruction plane preferably being a plane P.sub.10 in which the sample lies; then: A(x,y,z)=I.sub.0(x,y,z)*h, where * represents the convolution operator.
[0135] In the rest of this description, the coordinates (x,y) indicate a radial position in a plane perpendicular to the propagation axis Z. The coordinate z being a coordinate along the propagation axis Z.
[0136] The complex expression A is a complex quantity the argument and modulus of which are respectively representative of the phase and intensity of the light wave 14 to which the image sensor 16 is exposed. Convoluting the image I.sub.0 with the propagation operator h allows a complex image A.sub.z representing a spatial distribution of the complex expression A, in the reconstruction plane P.sub.z located at a coordinate z from the detection plane P.sub.0, to be obtained. In this example, the equation of the detection plane P.sub.0 is z=0. The complex image A.sub.z corresponds to a complex image of the sample in the reconstruction plane P.sub.z. It also represents a two-dimensional spatial distribution of the optical properties of the exposure light wave 14. The function of the propagation operator h is to describe the propagation of the light between the image sensor 16 and a point of coordinates (x, y, z) located at a distance |z| from the image sensor. It is then possible to determine the modulus M(x,y,z) and/or phase (x,y,z) of the exposure light wave 14 at this distance |z|, called the reconstruction distance, using: [0137] M(x,y,z)=abs[A(x,y,z)]; and [0138] (x,y,z)=arg[A(x,y,z)];
the operators abs and arg respectively returning the modulus and argument.
[0139] In other words, the complex expression A of the exposure light wave 14 at any point of spatial coordinates (x, y, z) is such that: A(x,y,z)=M(x,y,z)e.sup.j(x,y,z). It is possible to form images M.sub.z and .sub.z that respectively represent a distribution of the modulus or phase of the complex expression A on a surface lying facing the detection plane P.sub.0. Such a surface may in particular be a plane P.sub.z located at a distance |z| from the detection plane P.sub.0, with M.sub.z=mod(A.sub.z) and .sub.z=arg(A.sub.z). The aforementioned surface is not necessarily planar, though it preferably lies parallel to the detection plane and is preferably a plane P.sub.z parallel to the detection plane. In the rest of the description, the image obtained from the modulus and/or phase of the complex image A.sub.z is referred to as the reconstructed image and is denoted I.sub.z.
[0140] The main steps of this embodiment are shown in
[0141] Step 230: calculation of a complex image A.sub.z on a reconstruction surface, ideally a reconstruction plane P.sub.z, lying facing the image sensor. The complex image contains information on the phase and amplitude of the exposure light wave 14 to which the image sensor 16 is exposed. The reconstruction plane is a plane that is advantageously perpendicular to the propagation axis Z, and/or parallel to the detection plane P.sub.0. It is preferably a plane P.sub.10 in which the sample lies. Step 230 may be carried out by applying the propagation operator h described above to an image obtained from the acquired image I.sub.0, or to the selected region of interest ROI. However, application of the propagation operator to the acquired image may result in a complex image A.sub.z that is affected by substantial reconstruction noise, this noise commonly being referred to as twin images. In order to obtain an exploitable complex image, while limiting reconstruction noise, iterative algorithms may be employed. An example algorithm is described in French patent application FR1652500, filed 23 Mar. 2016. The complex image A.sub.z represents the various values of the complex amplitude A(x,y,z) in the reconstruction plane P.sub.z.
[0142] Step 240: formation of an image of interest, representative of the sample. From the complex image A.sub.z it is possible to obtain a reconstructed image I.sub.z of the modulus M.sub.z and/or phase .sub.z of the exposure light wave 14, in the reconstruction plane P.sub.z. The reconstruction distance with respect to the image sensor is determined either a priori, the position of the sample 10 with respect to the image sensor 16 being known, or using a digital focusing algorithm, the optimal reconstruction distance then being that at which the reconstructed image I.sub.z is clearest. Digital focusing algorithms are known to those skilled in the art. The reconstructed image I.sub.z forms the image of interest.
[0143] Step 250: application of a statistical indicator to the image of interest I.sub.z. This indicator may be a mean, a median or a moment such as described above. It may in particular be the variance. Application of the statistical indicator k allows the amplification indicator to be obtained.
[0144] Steps 200 to 230 may be repeated, so as to obtain, in succession, various images acquired by the image sensor. As many complex images A.sub.z(t) are then obtained, from which as many reconstructed images I.sub.z(t) and amplification-tracking indicators are determined. This allows a temporal variation k(t) of the amplification indicator to be obtained. Just as in step 240 described above, it is possible to determine a threshold time t.sub.s at which the tracking indicator crosses a threshold k.sub.th, so as to estimate a length of time t between the threshold time t.sub.s and the initial time t.sub.0, the latter corresponding to the mixing of the sample and the reaction medium.
[0145] Although described with reference to a LAMP amplification method, the invention may be used to track any amplification method provided that the latter is accompanied by the formation of precipitates in a concentration higher than 0.5 mM or 1 mM. Thus, the invention may for example be applied to PCR or RBA (recombinase polymerase amplification) methods.