WO2005050479A1 - 類似パターン検索装置、類似パターン検索方法、類似パターン検索プログラム、および分画分離装置 - Google Patents
類似パターン検索装置、類似パターン検索方法、類似パターン検索プログラム、および分画分離装置 Download PDFInfo
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Definitions
- the present invention provides a similar pattern search apparatus, a similar pattern search method, a similar pattern search program, and a similar pattern search method for searching a pattern having a high similarity to a pattern of a test sample from a population including a plurality of patterns.
- the present invention relates to an image separation device.
- flow cytometry is a test that can quickly classify leukocytes into neutrophils, lymphocytes, monocytes, eosinophils, and the like.
- Leukocyte particle size data obtained by flow cytometry can be classified into various particle size patterns depending on cell maturity and disease (see Non-Patent Document 1).
- the present inventors have developed a method of performing clustering by using a self-organizing map (SOM) using leukocyte particle size data obtained as a two-dimensional histogram (see Non-Patent Documents 2-4).
- SOM self-organizing map
- the leukocyte particle size data is recorded in a database, and a characteristic pattern is extracted by applying data mining, thereby enabling a powerful classification that cannot be determined only by information based on a two-dimensional histogram.
- processing is performed by a separation method in which a valley of each fraction is used as a boundary inside the analyzer, and a method is used in which each fraction is used as one numerical data for diagnosis.
- Non-Patent Document 1 Noriyuki Tatsumi, Izumi Tsuda, Nobuyuki Takubo, et al .: Reflection of automatic leukocyte classification results in on-site medical care, HORIBA Technical Reports, No. 20, pp. 23-26, 2000.
- Non-Patent Document 2 Hiromi Kataoka, Hiromi Ioki, Osamu Konishi, et al .: Construction of a data mining support system for leukocyte particle size, Journal of the Japan Society of Clinical Laboratory Automation, Vol. 27, 4, pp. 583, 2002.
- Non-Patent Document 4 Hiromi Ioki, Hiromi Kataoka, Yuka Kawasaki, et al .: Pattern Classification of Allergic Disease Area by Leukocyte Particle Size Data, Medical Informatics 22 (Suppl.), Pp. 211-212, 2002.
- the present invention has been made in view of the above, and a pattern having a high similarity to the pattern of a test sample is highly accurately searched for from a group including a plurality of patterns, and is used for diagnosis.
- the invention according to claim 1 searches a pattern including a plurality of patterns for a pattern highly similar to the pattern of the test sample.
- a similar pattern search means for selecting a class similar to the component fraction contained in the pattern of the test sample from the class map.
- clustering is performed on a plurality of patterns using a model parameter characterizing a plurality of component fractions respectively included in the plurality of patterns, and a class map is obtained. Is created, and is similar to the component fraction contained in the pattern of the test sample. Class is selected from the class map and a similarity search is performed with high accuracy.
- the invention according to claim 2 is characterized in that the pattern is a one-dimensional or multidimensional pattern.
- a one-dimensional or multidimensional pattern similarity search is performed with high accuracy.
- the invention according to claim 3 is characterized in that the pattern is a leukocyte particle size pattern, a protein electrophoresis waveform, or a blood cell histogram.
- the pattern is a leukocyte particle size pattern, a protein electrophoresis waveform, or a blood cell histogram.
- the invention according to claim 4 is a similar pattern search method for searching a pattern having high similarity to a pattern of a test sample from a population including a plurality of patterns, wherein Selecting a model parameter characterizing a plurality of component fractions contained in each of the plurality of patterns, performing a clustering on the plurality of patterns to create a class map, and a class map created in the class map creating step. And a similar pattern search step of selecting a class similar to the component fraction contained in the pattern of the test sample from the class map.
- the cluster map is performed on the plurality of patterns by using the model parameters characterizing the plurality of component fractions respectively included in the plurality of patterns. Is created, and a class similar to the component fraction contained in the pattern of the test sample is selected from the class map, and a similarity search is performed with high accuracy.
- An invention according to claim 5 is a program for causing a computer to execute a similar pattern search method for searching a pattern having a high similarity to a pattern of a test sample from a population including a plurality of patterns.
- a computer executes a storage step of storing the class map created in the step and a similar pattern search step of selecting a class similar to the component fraction contained in the pattern of the test sample from the class map. It is characterized by making it.
- the plurality of components respectively included in the plurality of patterns are provided.
- clustering is performed on multiple patterns to create a class map, and a class similar to the component fraction contained in the pattern of the test sample is identified in the class map. Select from among them and perform similarity search with high accuracy.
- the invention according to claim 6 is a similar pattern search device that searches a population containing a plurality of leukocyte particle size patterns for a leukocyte particle size pattern having a pattern highly similar to the leukocyte particle size pattern of the test sample.
- the leukocyte particle size pattern includes a plurality of cell component fractions, and performs a clustering by applying a self-organizing map to the plurality of actually measured leukocyte particle size patterns to create a primary class map.
- the primary clustering means and the EM algorithm for each pattern included in the primary class map are executed by using a predetermined initial value, whereby the number of components of the cell component included in each pattern and each cell
- First parameter determining means for determining a first mixture distribution model parameter comprising a mean value, a variance, and a density of components;
- Second parameter determination means for determining a second mixture distribution model parameter consisting of a value, a variance, and a density, and applying a self-organizing map to the second mixture distribution model parameter for each of the leukocyte particle size patterns.
- Secondary clustering means to create a secondary class map, calculate the similarity distances of all combinations between the classes included in the secondary class map, and calculate the class combinations and similarities between the classes.
- Means for creating an inter-class distance master for creating an inter-class distance master corresponding to the distance;
- Storage means for storing the class and the inter-class distance master, class determination means for determining a class belonging to each cell component fraction included in the leukocyte particle size pattern of the test sample from the secondary class map, and A class in which the similar distance to the class determined by the class determining means is equal to or smaller than a predetermined threshold is detected as a similar class from the interclass distance master, and a leukocyte particle size pattern included in the similar class is detected.
- a similar pattern search means for determining a pattern having a high similarity to the leukocyte particle size pattern of the test sample.
- the initial value determined by applying the self-organizing map Then, the components of the leukocyte particle size are separated by the EM algorithm using, and the clustering is performed again using the self-organizing map, thereby constructing a secondary class map and an interclass distance master.
- the invention according to claim 7 is a similar pattern search method for searching a leukocyte particle size pattern having a pattern highly similar to the leukocyte particle size pattern of a test sample from a population including a plurality of leukocyte particle size patterns.
- the leukocyte particle size pattern includes a plurality of cell component fractions, and performs a clustering by applying a self-organizing map to the plurality of actually measured leukocyte particle size patterns to create a primary class map.
- the primary clustering step and the EM algorithm for each pattern included in the primary class map are performed using a predetermined initial value, so that the number of components of the cell component included in each pattern and each cell
- the initial value determined by applying the self-organizing map Then, the components of the leukocyte particle size are separated by the EM algorithm using, and the clustering is performed again using the self-organizing map, thereby constructing a secondary class map and an interclass distance master.
- the invention according to claim 8 causes a computer to execute a similar pattern search method for searching for a leukocyte particle size pattern having a pattern highly similar to the leukocyte particle size pattern of a test sample from a population including a plurality of leukocyte particle size patterns.
- a program wherein the leukocyte particle size pattern includes a plurality of cell component fractions, and performs clustering by applying a self-organizing map to the plurality of leukocyte particle size patterns obtained by actual measurement.
- a class whose similarity distance between the class determined in the class determining step and the class determined in the class determining step is equal to or less than a predetermined threshold is detected as a similar class from the interclass distance master, and is included in the similar class.
- each component of the leukocyte particle size is separated by the EM algorithm using the initial value determined by applying the self-organizing map, and the initial value is determined using the self-organizing map.
- a secondary class map and an inter-class distance master are constructed.
- the invention according to claim 9 is a cell component fractionation separation device for separating each cell component fraction in a leukocyte particle size pattern including a plurality of cell component fractions, wherein the plurality of cell component fractions obtained by actual measurement are obtained.
- a primary clustering means for performing a clustering by applying a self-organizing map to the leukocyte particle size pattern to create a primary class map, and a predetermined initial state for each pattern included in the primary class map.
- the parameter determination for determining the number of components of the cell components included in each pattern and the mixture distribution model parameters including the average value, variance, and density of each cell component fraction Means, and for each leukocyte particle size pattern by executing an EM algorithm with the mixture distribution model parameters as initial values, Characterized in that a fractionation means for separating the fractions of each cell component contained in the particle size pattern.
- the self-organizing map (SOM) is applied to the determination of the initial value of the EM algorithm.
- the similar pattern search device (claim 1) performs clustering on a plurality of patterns by using model parameters characterizing a plurality of component fractions respectively included in the plurality of patterns.
- a class map is created based on the test pattern, and a class similar to the component fraction included in the pattern of the test sample is selected as a neutral class map.Therefore, the pattern of the test sample is selected from a population containing multiple patterns. This provides an effect that a pattern with high similarity to the above can be searched for with high accuracy, and useful information for diagnosis can be provided.
- the similar pattern search device uses a one-dimensional or multi-dimensional pattern as the pattern. This has the effect that a pattern with a high degree of similarity can be searched for with high accuracy.
- the similar pattern search device (claim 3) is characterized in that white blood cells are used as the pattern. Because it is determined to be a particle size pattern, protein electrophoresis waveform, or blood cell histogram, it is possible to perform a similarity search with high accuracy on a pattern having a high similarity to the white blood cell particle size pattern, protein electrophoresis waveform, or blood cell histogram pattern. It works.
- a similar pattern search method is performed on a plurality of patterns by using model parameters characterizing a plurality of component fractions respectively included in the plurality of patterns.
- a class map is created based on the test pattern, and a class similar to the component fraction included in the pattern of the test sample is selected as a neutral class map.Therefore, the pattern of the test sample is selected from a population containing multiple patterns. This provides an effect that a pattern with high similarity to the above can be searched for with high accuracy, and useful information for diagnosis can be provided.
- the similar pattern search program according to the present invention (claim 5) performs clustering on a plurality of patterns by using model parameters characterizing a plurality of component fractions contained in a plurality of patterns. To create a class map, and select a class similar to the component fraction included in the pattern of the test sample as a neutral class map. This makes it possible to perform a similarity search with high accuracy on a pattern having a high similarity to the above pattern, and to provide useful information for diagnosis.
- the similar pattern search device (claim 6) separates each component of the leukocyte particle size by an EM algorithm using an initial value determined by applying the self-organization mapping map, By performing clustering again by using the dani map, a secondary class map and an inter-class distance master are constructed, so that the similarity of the search target can be freely selected.
- each component is separated by performing a mixture density approximation using an EM algorithm, and further, by clustering feature parameters of each fraction, similarity focusing on a distribution pattern of a target cell group is obtained. It enables search
- the similar pattern search method according to the present invention uses an EM algorithm to separate each component of leukocyte particle size using an initial value determined by applying a self-organizing map. By separating and re-clustering using the self-organizing map, a secondary class map and an inter-class distance master are constructed, so that the similarity of the search target can be freely selected.
- the similar pattern search program according to the present invention separates each component of leukocyte particle size by an EM algorithm using an initial value determined by applying a self-organizing map. By performing clustering again using the organization map, a secondary class map and an inter-class distance master are constructed, so that there is an effect that the similarity of the search target can be freely selected.
- the fraction separating apparatus applies a self-organizing map (SOM) to the determination of the initial value of the EM algorithm, so that the local maximum Solving the problem of convergence to a value has an effect.
- SOM self-organizing map
- FIG. 1 is a block diagram showing a configuration of a similar pattern search device 1 according to the present embodiment.
- FIG. 2 is a flowchart of a process performed by a similar pattern search device 1 according to the present embodiment.
- FIG. 3 is a diagram showing an example of a primary class map obtained as a result of performing primary clustering by an SOM.
- Fig. 4 shows a model obtained by synthesizing each fraction component using the two-dimensional histogram of the original grain size data (upper diagram) and the obtained mixed distribution parameters and redrawing. This is a two-dimensional histogram (figure below).
- Fig. 5 shows the individual mixture model parameters obtained by the EM algorithm.
- FIG. 9 is a diagram showing an example of a secondary class map obtained as a result of clustering with M.
- FIG. 6 is a view showing the distribution of rod-shaped nuclei and lobulated nuclei distributed in the neutrophil region.
- FIG. 7 is an enlarged view of distribution of lobulated nuclei based on Class 351.
- FIG. 8 is a diagram plotting distances of each class based on Class801 of eosinophils.
- Figure 9 shows the results of primary clustering performed on protein electrophoresis waveforms by SOM.
- FIG. 9 is a diagram illustrating an example of an obtained primary class map.
- FIG. 10 is a diagram showing an example of a primary class map obtained as a result of performing primary clustering on a blood cell histogram by SOM.
- FIG. 11 is a diagram showing one embodiment of the present invention.
- the present inventors performed a mixture density approximation using an EM algorithm on each cell component included in the leukocyte particle size pattern to separate each component, and further separated each fraction. It has been found that clustering the characteristic parameters of the above makes it possible to perform a similarity search focusing on the distribution pattern of the target cell group, and based on this finding, completed the present invention.
- the EM algorithm has a problem that the convergence point strongly depends on the initial condition, and the local maximum of the marginal likelihood cannot be avoided. In other words, depending on the initial value, there is a phenomenon that a local solution with low quality converges.
- the initial value of each class is obtained based on the result of clustering the leukocyte particle size data of the entirety by the SOM, and the convergence problem of the marginal likelihood to the local maximum value Is to solve.
- an algorithm that enables a high-speed similarity search from a comprehensive viewpoint of each cell component of leukocytes or a combination of each component is developed, and information useful for diagnosis is provided.
- FIG. 1 is a block diagram illustrating a configuration of a similar pattern search device 1 according to the present embodiment.
- the similar pattern search device 1 that is effective in the present embodiment includes a primary clustering unit 11, a first parameter determining unit 12, a second parameter determining unit 13, a secondary clustering unit 14, an inter-class distance master creating unit 15, It has a memory 16, a class determination unit 17, and a similar pattern search unit 18.
- the present invention separates each component by performing a mixture density approximation using an EM algorithm, and clusters the characteristic parameters of each fraction to obtain a distribution pattern of a target cell group.
- the feature is that a similarity search focused on is enabled.
- the EM algorithm is composed of two processing algorithms, the Expectation step (E-step) and the Maximization step (M-step). These operations are repeated until the convergence is reached, and the meter is updated. The maximum point of the maximum likelihood estimator can be obtained.
- E-ste P calculates the conditional expected value of the log-likelihood, and M-step performs processing to maximize the conditional expected value.
- the EM algorithm has a problem that the convergence point strongly depends on the initial condition, and the local maximum of the marginal likelihood cannot be avoided. In other words, depending on the initial value Has the phenomenon of converging to a low-quality local solution.
- the initial value of each class is obtained based on the result of clustering the leukocyte particle size data of the entirety by the SOM, and the convergence problem of the marginal likelihood to the local maximum value Is to solve.
- the two-dimensional histogram data of the leukocyte particle size measured by the analyzer 2 is transmitted to the similar pattern searcher 1 and stored in the memory 16.
- the primary clustering unit 11 performs a clustering by applying a self-organizing map to a plurality of the leukocyte particle size patterns obtained by actual measurement, thereby creating a primary class map.
- the first parameter determination unit 12 executes the EM algorithm for each pattern included in the primary class map using a predetermined initial value to thereby determine the number of components of the cell component included in each pattern. And a first mixture distribution model parameter consisting of the mean value, variance and density of each cell component.
- the second parameter determination unit 13 executes an EM algorithm for each actually measured leukocyte particle size pattern with the first mixture distribution model parameter as an initial value, thereby obtaining a cell component included in each of the leukocyte particle size patterns. And the second mixture distribution model parameters including the average value, the variance, and the density of each cell component.
- the secondary clustering unit 14 creates a secondary class map by performing clustering by applying the self-organizing map to the second mixture distribution model parameters.
- a force K mean clustering or the like that uses the self-organizing map may be used.
- the inter-class distance master creating unit 15 calculates the similar distances of all the combinations between the classes included in the secondary class map, and associates the class combinations with the similar distances between the classes. This is to create a distance master.
- the memory 16 includes two-dimensional histogram data of the leukocyte particle size measured by the analyzer 2, the secondary class map data created by the secondary clustering unit 14, and the inter-class distance created by the inter-class distance master creating unit 15. It stores data such as master data.
- the class determination unit 17 determines the cell component fraction contained in the leukocyte particle size pattern of the test sample.
- the class to which it belongs is also used to determine the strength of the secondary class map.
- the similar pattern search unit 18 detects a class whose similar distance to the class determined in the class determination step is equal to or less than a predetermined threshold from the inter-class distance master as a similar class, and The included leukocyte particle size pattern is determined as a pattern having a high similarity to the leukocyte particle size pattern of the test sample.
- the distance between classes was used to determine the similarity.
- the evaluation criterion for similarity is not limited to this. You may decide to use distance, etc.
- the external input / output device 2 transmits to the similar pattern search device 1 various parameters and similar pattern search conditions input by the user.
- the similar pattern hit by the similar pattern search device 1 is output on the screen.
- FIG. 2 shows a flowchart of a process performed by the similar pattern search device 1 according to the present embodiment.
- a two-dimensional histogram of LMNE channels of 8,800 general patient samples analyzed by the automatic blood cell counter PENTRA120 (Horiba, Ltd.) 128 * 128, 8bit / sample data The explanation is given along the case of processing.
- the two-dimensional histogram data output from the analyzer 2 has been subjected to smoothing processing of eight points in the vicinity.
- the human power layer 128 water 128 (16,384 neurons), the competitive layer 12 water 12 (uni (1) Clustering was performed using the SOM, and the 144 patterns obtained were used as the primary class map.
- the learning parameters of the SOM were a neighborhood distance of 4 and a learning rate of 0.3.
- 4 * 4 16-divided areas are set, the center of gravity of each two-dimensional histogram is obtained, and the center of gravity is used as the initial value to separate the mixed model using the EM algorithm.
- the distribution model for each fraction was calculated assuming a normal distribution.
- the obtained mixture distribution model parameters (number of components, average value of each component, variance, density) were artificially adjusted to determine temporary parameters.
- the classes belonging to each fraction of the test sample were determined from the secondary map, the interclass distance master was read, the threshold was determined according to the purpose of the search, and the class group matching the conditions was searched.
- the threshold variable By making the threshold variable, the strength of similarity of the search can be freely selected, and the similarity search is realized by searching the class group of the area included in the threshold with the disjunctive condition.
- To search for the overall pattern of each fraction we decided to search using the conjunction of the classes belonging to each fraction.
- FIG. 3 shows the result of performing primary clustering by SOM. It shows the inside of a 12 * 12 competitor layer, and the result obtained by clustering the entire pattern of leukocyte particle size into 144 clusters was obtained.
- the upper diagram of Fig. 4 shows a two-dimensional histogram of the original granularity data, in which + represents an initial value, and a path and a convergence point where an optimal likelihood was searched by the X force 3 ⁇ 4M algorithm.
- the lower part of Fig. 4 is a modeled two-dimensional histogram in which each fraction component is synthesized and redrawn using the obtained mixture distribution parameters.
- Fig. 5 shows the results of clustering individual mixture model parameters obtained by the EM algorithm with SOM.
- the elliptical component drawn in red indicates the fraction of one component cell, and a result in which a similar pattern was arranged around the component was obtained. It can be understood that various patterns exist for each cell group. Pink 1 indicates lymphocytes, yellow 2 indicates monocytes, light blue 3 indicates neutrophils, and purple 4 indicates eosinophils.
- the clustering of four cell populations with literal LMNE channels was obtained.
- platelets were mapped in the white area distributed below the lymphocytes, and distributions considered to be abnormal cells were mapped in the other white areas and in the boundary area between each cell group.
- the cell groups shown in FIGS. 5 and 6 are referred to by sequential numbers in the raster direction, with the upper left corner being ClassO and the lower right corner being Class899.
- FIG. 6 shows the distribution of rod-shaped nuclei and lobulated nuclei distributed in the neutrophil region.
- Classl20 is a class with more rods than any other class
- Class351 is a class with more lobulated nuclei.
- the Dalladiation region of yellow 31 (left) represents the pattern of similar distances centered on Classl20, which was the group of cases containing the most rod-like nuclei with marked left nucleus movement, by color intensity. Distribution.
- the blue radiation (Daradiation) region of 32 shows a pattern centering on Class 351 where lobulated nuclei were the most powerful.
- FIG. 7 is an enlarged view of the distribution of lobulated nuclei based on Class 351. If you want to perform a similar search over a wide range, search for classes in the area enclosed by the red line, and if you want to search for cells with strong similarity, use the green or blue area. By searching for classes, the search target can be narrowed down.
- FIG. 8 is a diagram plotting the distance of each class based on Class 801 of eosinophils.
- the vertical axis represents distances from Class801, and the horizontal axis represents classes sorted in ascending order of distance.
- the distance is 1 or less, the same eosinophils are distributed, indicating that the similarity of the search target can be changed by changing the threshold of the distance.
- a step-like curve was obtained for each cell, and interesting results were obtained in which neutrophil lobulated and rod-shaped nuclei were separated by monocytes. This tended to be in various patterns depending on the reference cells.
- the similarity search device 1 searches for the similarity of the leukocyte particle size pattern.
- the present invention is not limited to this.
- the similarity of the test sample patterns such as the protein electrophoresis waveform and the blood cell histogram can be searched, and the similarity of various test sample patterns can be searched.
- the test sample pattern is not limited to two-dimensional information such as the leukocyte particle size pattern described above, but can be applied to one-dimensional information and multidimensional information (including a time axis).
- FIG. 9 is a diagram showing an example of a primary class map obtained as a result of performing primary clustering on a protein electrophoresis waveform by SOM using the similar pattern search device 1.
- FIG. 10 is a diagram showing an example of a primary class map obtained as a result of performing primary clustering on blood cell histograms by the SOM in the similar pattern search device 1.
- a program for realizing the function of the similar parameter search device 1 is recorded on the computer-readable recording medium 60 shown in FIG.
- Each function may be realized by causing the computer 50 shown in the same figure to read the executed program and executing it.
- the computer 50 shown in the figure includes a CPU (Central Processing Unit) 51 for executing the above program, an input device 52 such as a keyboard and a mouse, and a ROM (Read Only Memory) 53 for storing various data. And a RAM (Random Access Memory) 54 for storing calculation parameters and the like, a reading device 55 for reading a program from a recording medium 60, and an output device 56 such as a display and a printer.
- a CPU Central Processing Unit
- an input device 52 such as a keyboard and a mouse
- ROM Read Only Memory
- RAM Random Access Memory
- the CPU 51 reads the program recorded on the recording medium 60 via the reading device 55, and executes the program to realize the above-described functions.
- the recording medium 60 includes an optical disk, a flexible disk, a hard disk, and the like.
- the similar pattern search device can provide a useful information for diagnosis and treatment because the similarity scale can be freely changed with respect to the similarity obtained by integrating the components. Can be.
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EP04818872A EP1686494A4 (en) | 2003-11-21 | 2004-11-12 | DEVICE, METHOD AND PROGRAM FOR SEARCHING FOR SIMILAR PATTERNS AND FRACTION DEVICE |
US10/580,252 US7697764B2 (en) | 2003-11-21 | 2004-11-12 | Similar pattern searching apparatus, method of similar pattern searching, program for similar pattern searching, and fractionation apparatus |
JP2005515594A JP4521490B2 (ja) | 2003-11-21 | 2004-11-12 | 類似パターン検索装置、類似パターン検索方法、類似パターン検索プログラム、および分画分離装置 |
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JP2009210465A (ja) * | 2008-03-05 | 2009-09-17 | Yamaguchi Univ | がん細胞を分類する方法、がん細胞を分類するための装置及びがん細胞を分類するためのプログラム |
US7716169B2 (en) | 2005-12-08 | 2010-05-11 | Electronics And Telecommunications Research Institute | System for and method of extracting and clustering information |
JP2010122137A (ja) * | 2008-11-21 | 2010-06-03 | Kochi Univ | 血球分析装置、血球分析方法及びコンピュータプログラム |
WO2014112567A1 (ja) * | 2013-01-17 | 2014-07-24 | 国立大学法人 東京大学 | 細胞群分類装置及び、細胞群分類方法 |
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- 2004-11-12 US US10/580,252 patent/US7697764B2/en not_active Expired - Fee Related
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JP2009210465A (ja) * | 2008-03-05 | 2009-09-17 | Yamaguchi Univ | がん細胞を分類する方法、がん細胞を分類するための装置及びがん細胞を分類するためのプログラム |
JP2010122137A (ja) * | 2008-11-21 | 2010-06-03 | Kochi Univ | 血球分析装置、血球分析方法及びコンピュータプログラム |
WO2014112567A1 (ja) * | 2013-01-17 | 2014-07-24 | 国立大学法人 東京大学 | 細胞群分類装置及び、細胞群分類方法 |
Also Published As
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EP1686494A4 (en) | 2011-07-27 |
US20070133855A1 (en) | 2007-06-14 |
JPWO2005050479A1 (ja) | 2007-06-14 |
US7697764B2 (en) | 2010-04-13 |
JP4521490B2 (ja) | 2010-08-11 |
EP1686494A1 (en) | 2006-08-02 |
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