Method and Device for Determining the Number of Copies of a DNA Sequence That is Present in a Fluid
20230029306 · 2023-01-26
Inventors
Cpc classification
C12Q1/6848
CHEMISTRY; METALLURGY
C12Q2537/165
CHEMISTRY; METALLURGY
C12Q2537/165
CHEMISTRY; METALLURGY
C12Q2537/16
CHEMISTRY; METALLURGY
C12Q2537/16
CHEMISTRY; METALLURGY
International classification
Abstract
A method determines a number of copies of a DNA sequence that is present in a fluid. The method includes a division step, a setting up step, an identification step, and an evaluation step. In the division step, at least some of the fluid is divided into at least two compartments. In the setting up step, a reaction condition is set up for the fluid divided into the at least two compartments in order to allow a reaction in each of the at least two compartments and to obtain a reaction result in each case. In the identification step, a signal, for example an optical signal, is identified that represents the reaction results of the reactions that may have taken place in the compartments. In the evaluation step, the optical signal is evaluated in order to determine the number of copies.
Claims
1. A method for determining a number of copies of a DNA sequence contained in a fluid, the method comprising: dividing at least a predetermined part of the fluid into at least two compartments; setting a reaction condition for the fluid divided into the at least two compartments, in order in each case to allow a reaction in the at least two compartments and to obtain a reaction result for each; detecting a strength of a signal, which represents the reaction results of the reactions that have taken place in the at least two compartments; and evaluating the signal, in order to determine the number of copies, based on a reaction-specific detection probability function, which indicates a probability of an amplification reaction occurring in a compartment of the at least two compartments in dependence on the number of copies initially present in the compartment of the at least two compartments.
2. The method as claimed in claim 1, wherein the evaluating the signal comprises: using a binomial distribution function for a statistical description of a distribution of the initially present copies among the at least two compartments for the determination of the number of copies.
3. The method as claimed in claim 1, wherein the detecting the strength of the signal comprises: detecting the strength of an optical signal.
4. The method as claimed in claim 1, wherein the evaluating the signal comprises: investigating the fluid for multiple DNA sequences.
5. The method as claimed in claim 1, wherein the setting the reaction condition comprises: introducing at least one additional reactant into the fluid.
6. The method as claimed in claim 1, wherein the setting the reaction condition comprises: setting the reaction condition at least partially only after the dividing.
7. The method as claimed in claim 1, wherein the evaluating the signal comprises: using an amplification reaction which has a detection limit which really is greater than 1 copy per reaction compartment.
8. The method as claimed in claim 1, wherein the detecting the strength of the signal comprises: recording spectral information of an optical signal.
9. The method as claimed in claim 1, further comprising: detecting the strength of the signal again at least one more time, in order to detect at least one further signal and to determine from the detected signals the reaction results of the reactions that have taken place in the at least two compartments using the signals.
10. The method as claimed in claim 9, further comprising: varying, between the detecting the strength of the signals, a time interval, wherein the evaluating the signals includes determining a cycle, a temperature, and/or a time interval at which a value of an optical signal, an increase in a value of the optical signal, and additionally or alternatively a rate of change in the value of the increase in the optical signal becomes a maximum.
11. The method as claimed in claim 1, further comprising: performing the method repeatedly; and at least partially performing at the same time the setting the reaction condition and the detecting the strength of the signal.
12. The method as claimed in claim 1, wherein the dividing at least the predetermined part of the fluid comprises: using a receiving unit with cavities.
13. The method as claimed in claim 1, wherein a controller is configured to perform and/or activate the method.
14. The method as claimed in claim 1, wherein a computer program is configured to perform and/or activate the method.
15. The method as claimed in claim 14, wherein the computer program is stored on a non-transitory machine-readable storage medium.
Description
[0028] Exemplary embodiments of the approach presented here are explained in more detail in the following description and are represented in the drawings, in which:
[0029]
[0030]
[0031]
[0032]
[0033]
[0034] In the following description of favorable exemplary embodiments of the present invention, the same or similar designations are used for the elements that are presented in the various figures and act in a similar way, without the description of these elements being repeated.
[0035]
[0036] In a step 102 of the method 100, dividing of at least part of the fluid into at least two partitions/compartments takes place. The method 100 comprises a further step 105 of setting a necessary reaction condition for the fluid divided into the at least two partitions/compartments, in order to allow a reaction in the at least two partitions/compartments and to obtain a reaction result for each. In a detecting step 110, a strength of a signal is detected, for example an optical signal, which represents reaction results of the reactions that have possibly taken place in the compartments. In a step 115 of evaluating the signal, the signal is evaluated. Evaluation takes place while taking into account the statistical distribution of the numbers of copies in the compartments and by using a reaction-specific detection probability function, which indicates the probability of the occurrence of an amplification reaction in the compartments in dependence on the number of copies initially present in the compartments. In this way, the number of copies of at least one target/DNA sequence initially provided in the fluid can be determined with statistical accuracy on the basis of the reaction results achieved in the compartments.
[0037] The determination of a quantitative reaction result therefore takes place in this case on the basis of a statistical evaluation of at least two (mutually independent) detection reactions. In order to achieve a quantification that is as accurate as possible in a great measuring range, generally a multiplicity of compartments is favorable, typically more than 10, better 50 to 1000 or even 10 000 to 100 000. The number of compartments is scaled with the quantification range; depending on how great it is intended to be, a correspondingly great number of mutually independent reaction compartments are required.
[0038] According to this exemplary embodiment, the dividing step 102 is carried out before the setting step 105. The first step of distributing/partitioning/aliquoting the fluid/the sample fluid is the basis here for the subsequent evaluation. A “compartment” or “reaction compartment” is understood in this connection as meaning a restricted/delimited volume of fluid in which a detection reaction can possibly take place. The production of compartments may for example take place within micro-cavities or else also by the generation of droplets in a second immiscible fluid. For the reaction compartments to be generated in micro-cavities, the micro-cavities may in particular first be filled with the sample fluid by way of an adjoining channel and then be sealed with a second fluid that cannot be mixed with the sample fluid, for example an oil, wherein the sample fluid is displaced (completely) from the region adjoining the micro-cavities.
[0039] The partitioning or dividing of the fluid is characteristic of the method presented here; the quantification takes place in particular by counting off the positive/negative reactions in the compartments.
[0040] According to this exemplary embodiment, the reaction condition represents for example a physical condition, such as for example a temperature or a temperature profile, whereby for example a reaction in the partition/compartment can be made possible. It should be noted here that generally the specific detection reaction particularly only takes place when there is in a compartment at least one molecule that can be detected by the reaction. Otherwise, there is a false-positive reaction result in a compartment.
[0041] The reaction result in a reaction compartment is determined for example by means of an optical signal, for example by means of a fluorescent probe. The fluorescent probe is realized for example as a substance which for example can bind itself to another substance in the fluid and as a result makes the reaction result detectable. According to this exemplary embodiment, the renewed detection is symbolized by means of an arrow 125. According to this exemplary embodiment, a time interval between the detecting steps 110 is also optionally varied or variable. Furthermore, in the evaluating step 115, a cycle and/or time interval at which a value of the optical signal, an increase in the value and/or a rate of change in the value becomes a maximum can be determined. When using a fluorescent dye with a temperature-dependent fluorescence, in this way for example a tracking of temperature cycles—for example in conjunction with the carrying out of polymerase chain reactions—can be achieved. In this way, in addition to the function of detecting a reaction in a compartment, the optical signal can also be used for checking the temperature profile in a compartment, and consequently in particular for checking the setting of a necessary reaction condition.
[0042] According to this exemplary embodiment, in the evaluating step 115, the absolute number of copies of at least one DNA sequence initially contained in the fluid (the expected value of the number of copies) is calculated by using the reaction results of the reactions possibly occurring in the individual compartments, generally on the basis of a binomial distribution. The binomial distribution in this case includes as a general distribution function Poisson distribution and Gaussian distribution as limiting cases. As a result—when using a detection reaction with reduced sensitivity, in particular with a detection limit, i.e. a limit of detection (LOD), really greater than 1—a calculation of the number of copies of at least one DNA sequence is also made possible when there are multiple copies of the DNA sequence initially present in a detection compartment.
[0043] In other words, a possibility for quantitative DNA analytics is provided on the basis of a detection-reaction-specific amplification characteristic.
[0044] Digital PCR represents a variant that has been used so far. In the case of digital PCR, a PCR master mix, which contains at least one fluorescent probe and the sample material to be analyzed, is first divided among a multiplicity of spatially separate, i.e. mutually independent, reaction compartments. After thermocycling of the reaction compartments, it is determined on the basis of the fluorescence signal in which reaction compartments an amplification has taken place. By simply counting off the positive (and negative) reactions, the amount of target-specific DNA initially present in the sample can subsequently be quantified absolutely on the basis of Poisson statistics.
[0045] The quantification based on Poisson statistics in digital PCR is in this case based on highly sensitive PCR detection reactions, which can already reliably detect the presence of an individual DNA target molecule in a reaction compartment. The sensitivity (so-called limit of detection, LOD) of a detection reaction may however be lower, and generally competes with the specificity, that is to say the accuracy with which a specific target can be reliably detected. If the specificity of the detection reaction is too low, this can lead to false-positive results. Therefore, a suitable compromise between the sensitivity and the specificity of the reaction must generally be found in the design of a detection reaction (for example primer design). The presetting of a very high specificity of a detection reaction is possibly not compatible with a very high sensitivity in the range of a single copy.
[0046] By contrast with the approach used so far, with the newly presented approach there may be multiple copies of a DNA sequence in a reaction compartment, and the number of copies of the DNA sequence initially present in the fluid can be inferred in a statistical way on the basis of a “quantitative amplification characteristic of a detection reaction”. The “quantitative amplification characteristic of a detection reaction” in this case describes the probability of the occurrence of an amplification reaction for the detection of a DNA sequence in dependence on the number of copies of the DNA sequence to be amplified by the reaction that are initially present in the reaction compartment. The statistical calculation may take place in particular by means of the binomial distribution.
[0047] According to this exemplary embodiment, presented for this purpose is the method 100, which allows an absolute quantification of a DNA sequence/target DNA in a sample, which is referred to here as the fluid or sample fluid, even in the case of a reduced sensitivity, which means in the case of a so-called limit of detection (LOD)>1 of the detection reaction. Furthermore, according to this exemplary embodiment, the method 100 takes into account a general detection characteristic of an amplification reaction with respect to sensitivity and specificity (that is to say in particular also possibly including a false-positive rate), in particular commencement behavior of the amplification reaction in order to use it to determine a valid test result.
[0048] Therefore presented is the method 100, which in the introducing step 102 makes it possible for a fluid with sample material contained therein, which is referred to here as the fluid, to be divided among a large number of reaction compartments, which may also be referred to as compartments and may for example be present in micro-cavities. According to this exemplary embodiment, the method 100 comprises the setting step 105 for establishing suitable physical conditions, such as for example the temperature or temperature profile, in the compartments, which for example allow the occurrence of amplification reactions in these. In the detecting step 110, a detection of the reaction results in the individual compartments is carried out for example by an optical signal, which is caused by a fluorescent probe. It is also noted in this respect that from each individual compartment there emanates an optical signal, which indicates the reaction result in the compartment. The “optical signal” mentioned here then comprises the plurality of optical signals that emanate from the individual compartments. In the evaluating step 115, a statistical evaluation of the reaction results in multiple compartments is carried out on the basis of the binomial distribution as a general distribution function with the limiting cases of Poisson distribution and Gaussian distribution, for example with the inclusion of a quantitative detection reaction characteristic, in particular by using a quantitative description of the commencement behavior of the detection reaction, which means in particular while taking into account the sensitivity and specificity (that is to say in particular also possibly including a false-positive rate) of the detection reaction. Furthermore, a statistically verified test result is derived, and the absolute number of copies initially provided in the fluid, for example of at least one DNA sequence, is possibly calculated with statistical significance.
[0049] Advantageously, a large number of given detection reactions can thereby be used for an absolute quantification of DNA copies of at least one gene target that are initially present in a sample fluid. In particular, a lower sensitivity of the detection reactions, that is to say a limit of detection really greater than one, is also sufficient. In particular, detection reactions which are distinguished by a higher specificity and lower sensitivity can be used for a quantification. In comparison for example with a digital PCR according to the prior art, which is limited to the range described by Poisson statistics, the method 100 described here, which is based on the more general binomial statistics, can be used to achieve quantification within a different measuring range, possibly with the use of the same aliquoting device. According to this exemplary embodiment, however, this is dependent on the sensitivity characteristic of the amplification reaction. By combining differently designed detection reactions with different sensitivity and/or specificity for a gene target, quantification can advantageously be carried out within a larger measuring range. Likewise, according to this exemplary embodiment, on the basis of the method 100 presented here, detection reactions with a low specificity and a known significant false-positive rate can also be used to determine a valid test result. By aliquoting the sample fluid among a large number of compartments and performing (almost) independent amplification reactions on the basis of an experimentally determined proportion of positive reactions, including a known reaction-specific false-positive rate, inferences can be made about the actual composition of the sample with statistical significance.
[0050] In the basic embodiment, the method 100 presented here comprises the steps 102, 105, 110, 115. In the step 102 of the method 100, the fluid with the sample material contained therein is divided among a large number of reaction compartments. In particular, the fluid contains nucleic acids. According to this exemplary embodiment, in particular the compartments all have the same volume. In the step 105 of the method 100, suitable physical conditions, such as the temperature or temperature profile, that allow amplification reactions to take place in them are established in the compartments. In particular, these are nucleic acid-based methods, such as for example the polymerase chain reaction or an isothermal amplification method. In the step 110 of the method 100, the reaction result is detected in the individual compartments, for example on the basis of an optical signal which is produced by at least one fluorescent probe. For example, a quantitative polymerase chain reaction can be used as the detection reaction by using a master mix with a target-specific fluorescent probe which indicates the presence of a specific PCR product. In this way, the reaction kinetics can be followed in real time on the basis of a fluorescence signal (an increase in it). In the step 115 of the method 100, a statistical evaluation of the reaction results takes place in multiple compartments. In particular, the evaluation takes place on the basis of the binomial distribution as a general distribution function with the limiting cases of the Poisson distribution and the Gaussian distribution and with the inclusion of the quantitative characteristic of the detection reaction. This means in particular by using the commencement behavior of the reaction with regard to sensitivity and specificity. A statistically verified positive or negative test result is derived from it; optionally, a calculation of the absolute number of copies of at least one DNA sequence/gene target initially provided in the sample fluid with statistical probability is carried out. If, for example, a quantitative polymerase chain reaction is used as the detection reaction, the amount of DNA initially present in the sample can also be inferred from an optional comparison of the reaction kinetics in the individual compartments with standard reactions (which take place with a defined initially present number of copies) and be combined with the statistically determined test result on the basis of the reaction compartments.
[0051]
[0052] This exemplary embodiment also presents the method 100, which allows the determination of the absolute number of copies of at least one DNA sequence present in the fluid, while a detection reaction with a reduced sensitivity, that is to say a limit of detection (LOD), really greater than one can be used for this. Furthermore, it also allows a valid, possibly quantitative test result to be derived by using detection reactions with limited sensitivity and specificity which, taken by themselves, do not produce a valid test result.
[0053] In other words, according to this exemplary embodiment, step 105 and step 110 are performed in parallel, that is to say the detection of the fluorescence signal takes place at a number of times when the amplification reaction is being carried out. As a result, the progression of the reaction can additionally be determined, and this can allow even more reliable detection of positive and negative detection reactions. In particular, according to this exemplary embodiment, in a quantitative polymerase chain reaction, for example, the cycle at which the increase in the fluorescence signal or the rate of change in the increase in the fluorescence signal becomes a maximum (“c.sub.t value”) can also be determined. Since this value likewise correlates with the initial number of copies contained in the fluid, it can possibly also be used to validate the test result.
[0054]
[0055] In step 115, the absolute number of copies initially present in the fluid is calculated in particular on the basis of the reaction result from the detecting step of the method, that means for example a measured positive rate, and by using a predetermined function g, which takes into account the quantitative characteristic of the commencement behavior of the detection reaction p.sub.s(c) and the statistical distribution of the sample DNA among the compartments B.sub.n,
[0056] The text which follows describes in more detail the determination of the function g, which allows the calculation of the amount of DNA of a gene target initially provided in a sample on the basis of the measured positive rate for a specific detection reaction under specific boundary conditions with statistical significance. In particular, to provide a function g, the quantitative characteristic of a detection reaction in a given microfluidic compartment is first described (approximately) by a function p.sub.s(c), which can also be referred to for example as a detection probability function, probability-of-detection (POD) function or as a “sensitivity characteristic of a detection reaction” (at least for a relevant measuring range), which indicates the probability that, if exactly c copies are present in a compartment, an amplification reaction will take place in this compartment. For a (simplified) approximative description, for example the Heaviside function Θ may be used here, so that
p.sub.s,Θ,LOD(c)=Θ(c−c.sub.LOD)
where c.sub.LOD indicates the limit of detection (LOD) of the detection reaction. In general, more complicated functions are also suitable for the quantitative characterization of the commencement behavior of an amplification reaction p.sub.s(c), such as for example polynomials which have been determined on the basis of a large number of experimental data records and thus map the assay characteristic even more precisely in the test setup used. A further (approximative) description results, for example, from the convolution of the above Heaviside function p.sub.s,Θ,LOD(c) with a Gaussian function
of the width w, so that, depending on the number of copies c initially present in a compartment, a continuous commencement of the amplification reaction can be mapped by the function
[0057] With a number of compartments n and an average number of initial copies per compartment
[0058] The function p.sub.s(c) introduced above, for the quantitative description of the amplification characteristic, then results in the proportion f of compartments in which a positive detection reaction i takes place
f=∫.sub.0.sup.∞dc′B.sub.n,
[0059] With the approximative Heaviside description of the commencement of the amplification reaction p.sub.s,Θ,LOD(c) there follows the formula
f=∫.sub.c.sub.
so that f=f(n,
[0060] With the continuous description by means of integral terms chosen in the previous paragraph, the binomial coefficients can be described by means of the beta function. In addition to the continuous representation, a discrete description can also be used throughout, so that
and the other formulas are obtained analogously.
[0061]
[0062] In other words, according to this exemplary embodiment, an exemplary experimental series of measurements 400 from schematic representations of fluorescence micrographs that were made in the detecting step is shown inter alia. This involved using a PCR detection reaction by using target-specific primers and a fluorescent probe for a diagnostically relevant gene target. In each of the batches there was a defined amount of template DNA that contains the gene target. The average numbers of copies per compartment
[0063] For this purpose,
[0064] Particularly when using the Gaussian description, good agreement with the experimentally determined positive rates can be achieved. Accordingly, the commencement of the amplification reaction in the range of average initial numbers of copies per compartment
[0065]
[0066] If an exemplary embodiment comprises an “and/or” conjunction between a first feature and a second feature, this should be read as meaning that, according to one embodiment, the exemplary embodiment comprises both the first feature and the second feature and, according to a further embodiment, the exemplary embodiment comprises either only the first feature or only the second feature.
[0067] Exemplary specifications for the method according to the invention are given below:
[0068] Number of reaction compartments:
2 to 1 000 000, preferably 10 to 30 000
[0069] Volume of a reaction compartment:
5 μl to 100 μl, preferably 500 μl to 1 μl
[0070] Detection reaction:
An isothermal amplification reaction or a (quantitative) polymerase chain reaction