1. Field of the Invention
The present invention relates to a pharmacokinetic analysis system and a method of the pharmacokinetic analysis for analyzing transition of in-blood drug concentration of an individual in such a manner that the influence of genetic polymorphism is taken into consideration.
2. Description of the Related Art
A drug dosed to humans passes through processes of liberation, absorption, distribution, metabolism, and excretion. The research field regarding transition of drug concentration in body fluid (mainly in blood) in these processes is referred to as “Pharmacokinetics: PK)”. When investigating pharmacokinetics in humans, data on the pharmacokinetics, such as in-blood drug concentration or in-urine excretion amount obtained from a clinical trial, is analyzed using statistics. After that, the pharmacokinetics is investigated based on this analysis result.
When applying the pharmacokinetics analysis to the data on the in-blood drug concentration obtained from a clinical trial, the following two cases are conceivable: A case of estimating a pharmacokinetic parameter for each examinee (individual), and a case of estimating a pharmacokinetic parameter in a population out of which an individual is extracted. In the former case, a method is generally used where the measurements of the in-blood drug concentration are made for each individual at large number of points-in-time, and where the pharmacokinetic parameter is estimated for each individual on the basis of the data obtained. An early-stage clinical trial, such as clinical phase-I trial, is a typical example of this former case. The latter case is an analysis method commonly referred to as “population pharmacokinetic analysis”. In the population pharmacokinetic analysis, the pharmacokinetics in a population out of which each individual is extracted is analyzed based on the data on the individual.
In general, the data on the pharmacokinetics exhibits large variations between individuals and inside an individual. Even if a constant amount of drug is dosed, the in-blood drug concentrations differ inside an individual or between individuals. Also, even if the dose is adjusted so that the in-blood drug concentrations will become the same, the effect and action of the drug will not necessarily become the same. In this way, as one of the causes by which the in-blood drug concentrations and the effect and action of the drug differ between individuals, it is conceivable that workings of genes related with the various processes described above differ depending on the individuals. As one of accomplishments of the Human Genome Project, it is conceivable that individual genetic information (i.e., the individual genetic polymorphism) is utilized in the field of Pharmacokinetics. Expectations are now getting more and more placed on this utilization of the individual genetic information as an effective method for making it possible to understand the problem of an individual difference in a drug therapy more scientifically than ever.
Statistical genetics method is one of the effective methods for analyzing the relationship between the genetic polymorphism of an individual and occurrence of diseases and side effects of drugs. The statistical genetics method is a genetic name for methodologies of searching for the genetic polymorphism related with a specific trait (presence or absence of a disease, and presence or absence of side effect of a drug) by taking advantage of statistics. The statistical genetics method is the methodologies onto which attention has been focused in recent years.
The statistical genetics method is classified into a linkage analysis method and an analysis method using linkage disequilibrium. The former is the analysis method using the linkage, i.e., an exception of Mendel's Independent Law. The latter is the analysis method using the linkage disequilibrium, i.e., a non-independent phenomenon of a plurality of genetic polymorphisms within a group. Family-line information is needed in the linkage analysis method; whereas the family-line information is not necessarily needed in the analysis method using the linkage disequilibrium. On account of this, in recent years, the analysis method using the linkage disequilibrium has become prevalent. In the analysis method using the linkage disequilibrium, frequencies of a genetic polymorphism on which attention is focused, or frequencies of a combination (haplotype) of a plurality of genetic polymorphisms in an area where the linkage disequilibrium exists are compared between groups of different traits (case group and control group, and responder group to a drug and non-responder group thereto). This comparison allows investigation of the relationship between a specific trait and the genetic polymorphisms or haplotype.
In the analysis method using the linkage disequilibrium, in general, the analysis is made based on the haplotype or diplotype configuration (a combination of two haplotypes which an individual has). Up to the present, several proposals have been made concerning methodologies for estimating the haplotype frequency of a population and the diplotype configuration of an individual on the basis of the data on the genetic polymorphism of the individual. The representative proposals are a methodology using EM algorithm as described in Excoffier L & Slatkin M: Maximum-likelihood estimation of molecular haplotype frequencies in a diploid population, Mol Biol Evol, Vol. 12, pp. 921-927, 1995, and PHASE method as described in Stephens M et al.: A new statistical method for haplotype reconstruction from population data, Am J Hum Genet, Vol. 68, pp. 978-989, 2001.
As described above, it is conceivable that the genetic polymorphism of an individual is utilized in the field of Pharmacokinetics. Expectations are now getting more and more placed on this utilization of the genetic polymorphism as the effective method for making it possible to understand the problem of an individual difference in a drug therapy more scientifically than ever. However, a method for analyzing the pharmacokinetics in such a manner that the influence of the genetic polymorphism of an individual is taken into consideration has been not established yet.
Also, the estimation methodologies reported up to the present for estimating the haplotype frequency of a population and the diplotype configuration of an individual require the genetic polymorphism data on a large number of individuals (a few hundreds to a few thousands of individuals in general) in order to enhance the estimation accuracy. Usually, however, the number of individuals obtainable in a clinical trial or the like is about a few tens of individuals. On account of this, acquiring the genetic polymorphism data on a large number of individuals is difficult in the pharmacokinetic analysis.
Accordingly, there has existed a problem that the estimation accuracy is insufficient in estimating the haplotype frequency of a population and the diplotype configuration of an individual.
In view of this situation, an object of the present invention is to solve the above-described problems, and to provide the method for analyzing the pharmacokinetics in such a manner that the influence of the genetic polymorphism of an individual is taken into consideration. Also, another object of the present invention is to provide a method for allowing implementation of high-accuracy haplotype frequency estimation and diplotype configuration estimation even in the case where the number of individuals is small from which the data is obtainable when making the pharmacokinetic analysis.
The pharmacokinetic analysis system and method of the present invention estimate the diplotype configuration of an individual, and expresses a pharmacokinetic parameter as a function of the diplotype configuration of the individual. This processing makes it possible to configure pharmacokinetic models, and to make the pharmacokinetic analysis where the influence of the genetic polymorphism of the individual is taken into consideration. Also, the system and method of the present invention create the individual in a pseudo manner on the basis of information on the haplotype frequency and the number of individuals obtainable from documents, empirical knowledge, and the like. Then, using the data created, the system and method correct the estimation result of the diplotype configuration of the individual, thereby implementing an enhancement in the estimation accuracy. Moreover, the system and method select an optimum model from among the pharmacokinetic models, and displays a drug-concentration time course curve based on the selected model in a manner of being equipped with a confidence interval. Then, the system and method permit a user to set the confidence interval freely. This processing makes it possible to perform stratification of patients depending on a purpose.
According to the pharmacokinetic analysis method of the present invention, it becomes possible to analyze the pharmacokinetics in such a manner that the influence of the genetic polymorphism of an individual is taken into consideration. Also, it becomes possible to investigate in detail the problem of an individual difference in a drug therapy.
Other objects, features and advantages of the invention will become apparent from the following description of the embodiments of the invention taken in conjunction with the accompanying drawings.
The pharmacokinetic analysis program 14 includes a data acquisition device 141 for acquiring the drug concentration data 11, the genetic data 12, and the clinical data 13 on a plurality of individuals, a diplotype configuration estimation device 142 for estimating diplotype configurations of the individuals on the basis of the genetic data 12 on the plurality of individuals acquired by the data acquisition device 141, a pharmacokinetic model building device 143 for building pharmacokinetic models on the basis of the diplotype configurations of the individuals estimated by the diplotype configuration estimation device 142, a pharmacokinetic parameter estimation device 144 for estimating a pharmacokinetic parameter on the basis of the data acquired by the data acquisition device 141 and the pharmacokinetic models built by the pharmacokinetic model building device 143, an optimum model selection device 145 for calculating information criterion of the pharmacokinetic models on the basis of the pharmacokinetic models built by the pharmacokinetic model building device 143 and the pharmacokinetic parameter estimated by the pharmacokinetic parameter estimation device 144, judging whether or not the pharmacokinetic models built by the pharmacokinetic model building device 143 are optimum on the basis of the information criterion calculated, and selecting an optimum pharmacokinetic model, a stratification device 146 for creating a drug-concentration time course curve on the basis of the optimum pharmacokinetic model selected by the optimum model selection device 145, and performing stratification of the drug-concentration time course curve, and an analysis result output device 147 for outputting, as an analysis result, the data on the drug-concentration time course curve created by the stratification device 146. Although the program like this has been described assuming that the program exists in the external storage device 10, the program may also be installed into the present device via a medium. Hereinafter, referring to
A data acquisition step 210: The data acquisition device 141 acquires the drug concentration data 11, the genetic data 12, and the clinical data 13 on a plurality of individuals. The data to be acquired are specified by the user via a setting screen which will be explained later using
A diplotype configuration estimation step 211: The diplotype configuration estimation device 142 estimates diplotype configurations of the individuals on the basis of the genetic data 12 on the plurality of individuals acquired at the data acquisition step 210. The details of the diplotype configuration estimation step 211 will be explained later using
A pharmacokinetic model building step 212: The pharmacokinetic model building device 143 builds pharmacokinetic models on the basis of a population pharmacokinetic model building condition 21 and a stratification condition 22, i.e., the condition for performing stratification of patients. The population pharmacokinetic model building condition 21 and the stratification condition 22 are specified by the user via a setting screen which will be explained later using
A pharmacokinetic parameter estimation step 213: The pharmacokinetic parameter estimation device 144 estimates a pharmacokinetic parameter on the basis of the data acquired at the data acquisition step 210 and the pharmacokinetic models built at the pharmacokinetic model building step 212.
The details of the pharmacokinetic model building step 212 and the pharmacokinetic parameter estimation step 213 will be explained later using
An information criterion calculation step 214: The optimum model selection device 145 calculates information criterion of the pharmacokinetic models on the basis of the pharmacokinetic models built at the pharmacokinetic model building step 212 and the pharmacokinetic parameter estimated at the pharmacokinetic parameter estimation step 213.
A model selection step 215: The optimum model selection device 145 judges whether or not the pharmacokinetic models built at the pharmacokinetic model building step 212 are optimum on the basis of the information criterion calculated at the information criterion calculation step 214, and the selection device 145 selects an optimum pharmacokinetic model.
The details of the information criterion calculation step 214 and the model selection step 215 will be explained later using
A drug-concentration time course curve creation step 216: The stratification device 146 creates a drug-concentration time course curve on the basis of the optimum pharmacokinetic model selected at the model selection step 215.
A stratification-condition satisfaction judgment step 217: The stratification device 146 judges whether or not the stratification condition 22 is satisfied based on the drug-concentration time course curve created at the drug-concentration time course curve creation step 216.
An analysis continuation judgment step 218: The stratification device 146 judges whether or not the pharmacokinetic analysis should be continued.
The details of the drug-concentration time course curve creation step 216, the stratification-condition satisfaction judgment step 217, and the analysis continuation judgment step 218 will be explained later.
An analysis result output step 219: The analysis result output device 147 outputs, as an analysis result 23, the data on the drug-concentration time course curve created at the drug-concentration time course curve creation step 216.
In the data input unit 411, the drug concentration data 11, the genetic data 12, and the clinical data 13 are inputted which are needed for the data acquisition step 210 in
Selecting and pressing the analysis condition setting button 412 makes it possible to set the population pharmacokinetic model building condition 21 and the stratification condition 22 needed for the pharmacokinetic model building step 212 in
Selecting and pressing the diplotype configuration correction condition setting button 413 makes it possible to set the haplotype frequency 31, the sample size 32, and the weighting coefficient 33 needed for the diplotype configuration correction step 310 in
Selecting and pressing the analysis execution button 414 causes the pharmacokinetic analysis program 14 to start the pharmacokinetic analysis.
In the population pharmacokinetic model building condition input unit 511, for example, like the screen in the present embodiment, a compartment model to be used for the pharmacokinetic analysis is selected by a pull-down button or the like. For example, like the present embodiment, when a 1-compartment model with oral administration is selected, pharmacokinetic parameters related with the selected 1-compartment model with oral administration are displayed on the pharmacokinetic parameter setting unit 512 together with check buttons and the like. In the present embodiment, absorption rate Ka, elimination rate Ke, distribution volume Vd, and in-blood drug concentration C are displayed as the pharmacokinetic parameters related with the 1-compartment model with oral administration. Of course, a pharmacokinetic parameter other than the pharmacokinetic parameters illustrated in
In the haplotype number input unit 611, for example, like the screen in the present embodiment, the number of haplotypes existing in a genetic area becoming the analysis target is inputted by a pull-down button or the like. For example, like the present embodiment, if the number of the haplotypes is inputted as being 3, a screen for inputting frequencies of the respective haplotypes (which are denoted by H1 to H3 each, for example) is displayed on the haplotype frequency input unit 612. In the sample-size/weighting-coefficient input unit 613, the sample size 32 and the weighting coefficient 33 are inputted, and the diplotype configuration correction condition is set by the setting button 614. The user inputs the diplotype configuration correction condition on the basis of information obtainable from documents, published database on the Web, empirical knowledge, and the like.
Next, referring to
Accordingly, the diplotype configurations corresponding to Gi are not determined into one configuration in many cases. In the case like this, posterior probability distributions (which will be referred to as “diplotype distributions”) on possible diplotype configurations are defined. The diplotype configuration corresponding to Gi for each individual i (i=1, 2, . . . , n) is represented by Dij (j=1, 2, . . . , mi). Here, mi is the number of the possible diplotype configurations for Gi, and maximum value of mi is M. A storage area for storing the M possible haplotypes (which are denoted by H1, H2, . . . , HM each) in the population and the frequencies F of the M possible haplotypes, and a storage area for storing the possible diplotype configuration Dij for each individual and the posterior probability distributions of the possible diplotype configuration Dij are ensured on the memory 2 on the basis of the genetic data 12 (which is equivalent to the above-described G) on the plurality of individuals acquired by the data acquisition device 141 in
An initial value setting step 91: First, initial values F (0) of the haplotype frequencies are allocated to the M possible haplotypes (which are denoted by H1, H2, . . . , HM each), then being stored into the storage area. The sum total of the haplotype frequencies is equal to 1. The initial value of each haplotype frequency is given at random such that the sum total of the haplotype frequencies becomes equal to 1. Otherwise, 1/M is equally given to each of the M possible haplotypes.
Next, with respect to 0, 1, 2, . . . , F(t+1) is calculated from F(t) in accordance with the following diplotype distribution calculation step 92 to haplotype frequency update step 96:
The diplotype distribution calculation step 92: Each diplotype configuration Dij includes the two haplotypes H1 and Hm, where 1≦1≦M and 1≦m≦M. When the haplotype frequencies F(t) of the population are given, the probability with which Dij will be obtained is given by the following Expression (1):
Consequently, the posterior probability Pr(Dij|Gi) that the diplotype configuration of the individual i is Dij under the observed data Gi on the genetic type is given by the following Expression (2) from Bayes' theorem:
Calculating this Expression for all j (j=1, 2, . . . , mi) determines the diplotype distribution of the individual i. This diplotype distribution is applied to all the individuals in the sample group, then being stored into the storage area.
A likelihood calculation step 93: The determination of the diplotype distribution of the individual i makes it possible to calculate the entire likelihood in the sample group. The entire likelihood can be expressed by the following Expression (3) by connecting likelihoods of all the diplotype configurations for each individual and further, by connecting likelihoods of all the individuals. A storage area for storing the likelihood is ensured on the memory 2, thereby storing the likelihood.
A haplotype-frequency expectation value calculation step 94: The determination of the diplotype distribution of the individual i makes it possible to calculate expectation values of the haplotype frequencies of the population from the diplotype distributions of all the individuals in the sample group. The expectation values of the haplotype frequencies of the population are given by the following Expression (4):
Here, NDjki is the number of Hi (i.e., any one of 0, 1, and 2) included in the diplotype configuration Djk.
A convergence judgment step 95: It is judged whether or not the value of the entire likelihood L(F) has been converged. If L(F(t+1))−L(F(t))<β is satisfied, It is judged that the value has been converged, and the processing proceeds to the following diplotype distribution determination step 97: Meanwhile, if L(F(t+1))−L(F(t))<β is not satisfied, the processing returns to the diplotype distribution calculation step 92 via the following haplotype frequency update step 96, then repeating the steps up to the convergence judgment step 95: Here, β is a threshold value. A sufficiently small value such as, e.g., 10−5 is set as the value of β. The haplotype frequency update step 96: F is updated by setting F(t+1)=E[F(t)].
The diplotype distribution determination step 97: The value E[F]=F(EM) at the point-in-time when the entire likelihood has been converged is defined as maximum likelihood estimation value of the haplotype frequencies in the population. Moreover, the posterior probability Pr(D|G) at this time is defined as the diplotype distribution of the individual under the maximum likelihood estimation value of the haplotype frequencies in the population.
Next, referring to
A diplotype configuration correction condition acquisition step 101: The data on the haplotype frequency 31, the sample size 32, and the weighting coefficient 33 (indicating importance of documents or empirical knowledge) are acquired which are obtainable from documents, published database on the Web, empirical knowledge, and the like. The haplotype frequency 31, the sample size 32, and the weighting coefficient 33 are specified by the user via the setting screen explained earlier using
A replication data creation step 102: Based on the data acquired at the diplotype configuration correction condition acquisition step 101, samples (individuals) which are RN in number are created in a pseudo manner so that expectation value of the diplotype configuration frequency including two haplotypes Hi and Hj (whose frequencies are set at F(Hi) and F(Hj) each) becomes equal to F(Hi)2 if i=j, and 2F(Hi)F(Hj) if ij. Here, R denotes the weighting coefficient 33, and N denotes the sample size 32.
In the present embodiment, the data on the individuals acquired in advance (observed actually) are referred to as “original data”; while the data on the individuals created in a pseudo manner at the replication data creation step 102 are referred to as “replication data”.
A data merge step 103: The original data and the replication data are merged with each other. The genetic data 12 on the plurality of individuals acquired by the data acquisition device 141 and the replication data created in a pseudo manner at the replication data creation step 102 are added, thereby being formed into one piece of data.
A step 104 to a step 1010 are steps corresponding to the initial value setting step 91 to the diplotype distribution determination step 97 in
Next, referring to
At the pharmacokinetic model building step 212, based on the population pharmacokinetic model building condition 21 and the stratification condition 22 specified by the user via the setting screen explained earlier using
Here, D is the dose, Ka is absorption rate, Kel is elimination rate, and Vd is distribution volume.
The population pharmacokinetic analysis using the 1-compartment model with oral administration can be explained as follows: Now, assume that the in-blood drug concentration is measured for an individual i at mi points-in-time t11, . . . , timi, and that the resultant measurement values are xi1, . . . , ximi. Expressing all of pharmacokinetic parameters of the individual i as a vector θi in batch, the measurement values xij of the in-blood drug concentration can be expressed as xij=C (θi, tij)+εij. This is because the measurement values xij can be obtained by adding an error εij, i.e., a probability variable, to the estimation value C (θ1, tij) based on the 1-compartment model with oral administration. In the case of the 1-compartment model with oral administration, the pharmacokinetic parameter vector of the individual i is θi=(ka(i), kel(i), Vd(i))T. Accordingly, letting the dose of the individual i be Di, the estimation value of the in-blood drug concentration at the point-in-time when a time tij has elapsed after the administration is represented by the following Expression (6):
For simplicity, assuming that the error εij follows a normal distribution of average 0 and variance σε2, probability density function representing distribution of the measurement values xi1, . . . , ximi at the mi measurement points-in-time ti1, . . . , timi can be represented by the following Expression (7):
For simplicity, the following normal distribution is assumed as a distribution for representing differences in the pharmacokinetic parameters between the individuals: ka(i)˜N(μka, σka2), kel(i)˜N(μkel, σkel2), Vd(i)˜N(μVd, σVd2).
Although population parameters are unknown, likelihood function for the individual i is represented by the following Expression (8) under the situation that the measurement data xi1, . . . , ximi on the individual are given: This representation is made possible by considering the above-described probability density function as a function of the unknown population parameters. What is referred to as “the unknown population parameters” here means the variance σε2 of the error, and μka, σka2, μkel, σkel2, μVd, and σVd2 which specify the distribution of the pharmacokinetic parameters in the population.
If the measurement values at the mi points-in-time ti1, . . . , timi for each individual i have been found to be xi1, . . . , ximi, logarithmic likelihood function for all the data can be represented by the following Expression (9), letting the number of all the individuals be n:
In the population pharmacokinetic analysis, the population parameters μka, σka2, μkel, σkel2, μVd, σVd2, and σε2 which will maximize this logarithmic likelihood function are estimated. The analysis model to be used in the population pharmacokinetic analysis turns out to become a mixed effect model, which includes the fixed effect of the average values μka and μkel of the population parameters and μVd, and the random effect of σka2, σkel2, σVd2, and σε2 whose average values are equal to zero.
At the pharmacokinetic model building step 212, the pharmacokinetic model is built by the following two steps:
The compartment model setting step 121: In accordance with the population pharmacokinetic model building condition 21 specified by the user via the setting screen explained earlier using
The pharmacokinetic parameter setting step 122: In accordance with the population pharmacokinetic model building condition 21 specified by the user via the setting screen explained earlier using
Here, Hi (i=1, 2, 3) denote the haplotypes, and Hi/Hj (i=1, 2, 3, j=1, 2, 3) denote the diplotype configurations including the haplotypes Hi and Hj. In the present embodiment, the three haplotypes are considered, then setting the fixed effect of μkel on each diplotype-configuration basis.
At the pharmacokinetic parameter estimation step 213, the pharmacokinetic parameter estimation device 144 calculates the likelihood at the likelihood calculation step 123, and estimates the pharmacokinetic parameters at the parameter estimation step 124. Hereinafter, the explanation will be given below regarding the likelihood calculation step 123 and the parameter estimation step 124.
The likelihood calculation step 123: A storage area for storing the likelihood of each individual i to be calculated by the Expression (8) is ensured on the memory 2. This calculation is made on the basis of the drug concentration data 11 and the clinical data 13 (which are equivalent to the above-described D, (ti1, . . . , timi), and (xi1, . . . , ximi)) on the plurality of individuals acquired by the data acquisition device 141 in
The parameter estimation step 124: The parameters which will maximize the logarithmic likelihood calculated at the likelihood calculation step 123 are estimated. Then, the parameters estimated are employed as the pharmacokinetic parameters in the population. The methods such as maximum likelihood method and EM algorithm are used for the parameter estimation.
Next, the explanation will be given below concerning an example of the embodiment of the information criterion calculation step 214 in
The information criterion display unit 1611 displays calculation results of AIC of the respective models built by the pharmacokinetic model building device 143 at the pharmacokinetic model building step 212. Using a sort button 16112 makes it possible to sort the calculation results in an ascendant or descendent order.
Pressing a model detail button 16113 displays a model detail display screen 162 illustrated at the lower portion in
The user selects the optimum model on the basis of the calculation results of AIC, then checking a selection model check box 16111 and pressing the stratification execution button 1612. This starts the stratification by the stratification device 146. In the present embodiment, the example has been indicated where the user selects the optimum model using the optimum model selection screen 161. Instead of performing the interactive processing with the user, however, the optimum model selection device 145 may automatically select the model which will make AIC the minimum, and start the stratification by the stratification device 146.
Next, the explanation will be given below concerning the drug-concentration time course curve creation step 216, the stratification-condition satisfaction judgment step 217, and the analysis continuation judgment step 218 in
At the drug-concentration time course curve creation step 216, the drug-concentration time course curve is created on the basis of the optimum pharmacokinetic model selected by the optimum model selection device 145 at the model selection step 215 in
At the stratification-condition satisfaction judgment step 217, the stratification device 146 judges whether or not the stratification condition 22 is satisfied based on the drug-concentration time course curve created at the drug-concentration time course curve creation step 216. As a result of this, if the stratification condition 22 is satisfied, the processing proceeds to the analysis result output step 219, where the analysis result output device 147 outputs the analysis result 23. Also, at the stratification-condition satisfaction judgment step 217, the stratification device 146 judges whether or not the stratification condition 22 is satisfied based on the drug-concentration time course curve created at the drug-concentration time course curve creation step 216. As a result of this, if the stratification condition 22 is not satisfied, as the analysis continuation judgment step 218, a stratification-condition satisfaction judgment result screen 171 as is illustrated in, e.g.,
The drug-concentration time course curve display unit 1311 displays the data on the drug-concentration time course curve created at the drug-concentration time course curve creation step 216 in
The confidence interval setting bar 1312 sets the confidence interval of each drug-concentration time course curve displayed on the drug-concentration time course curve display unit 1311. The upper-limit of the confidence interval is 100%, and the lower-limit thereof is 0%. In the example of the screen in the present embodiment, the confidence interval-setting bar 1312 is set at, e.g., 90%. Accordingly, each drug-concentration time course curve (bold line) is displayed on the drug-concentration time course curve display unit 1311 together with the upper-limit and lower-limit (narrow lines) of the 90-% confidence interval.
The user is permitted to freely set the confidence interval of each drug-concentration time course curve displayed as the analysis result. This feature allows the user to obtain information for performing the stratification of patients depending on a purpose.
It should be further understood by those skilled in the art that although the foregoing description has been made on embodiments of the invention, the invention is not limited thereto and various changes and modifications may be made without departing from the spirit of the invention and the scope of the appended claims.
Number | Date | Country | Kind |
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2006-104802 | Apr 2006 | JP | national |