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| Predictive power of cell-to-cell variability |
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| Predictive power of cell-to-cell variability |
Bochong Li1, Lingchong You1,2,3( ) |
| 1. Department of Biomedical Engineering, Duke University, Durham, NC 27708, USA; 2. Center for Systems Biology, Duke University, Durham, NC 27708, USA; 3. Institute for Genome Sciences and Policy, Duke University, Durham, NC 27708, USA |
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| Abstract: Much of our current knowledge of biology has been constructed based on population-average measurements. However, advances in single-cell analysis have demonstrated the omnipresent nature of cell-to-cell variability in any population. On one hand, tremendous efforts have been made to examine how such variability arises, how it is regulated by cellular networks, and how it can affect cell-fate decisions by single cells. On the other hand, recent studies suggest that the variability may carry valuable information that can facilitate the elucidation of underlying regulatory networks or the classification of cell states. To this end, a major challenge is determining what aspects of variability bear significant biological meaning. Addressing this challenge requires the development of new computational tools, in conjunction with appropriately chosen experimental platforms, to more effectively describe and interpret data on cell-cell variability. Here, we discuss examples of when population heterogeneity plays critical roles in determining biologically and clinically significant phenotypes, how it serves as a rich information source of regulatory mechanisms, and how we can extract such information to gain a deeper understanding of biological systems. |
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收稿日期: 2013-01-26
出版日期: 2013-06-05
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Corresponding Author(s):
You Lingchong,Email:you@duke.edu
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| 1 |
Balázsi, G., van Oudenaarden, A. and Collins, J. J. (2011) Cellular decision making and biological noise: From microbes to mammals. Cell , 144, 910–925 pmid:21414483.
|
| 2 |
Nachman, I., Regev, A. and Ramanathan, S. (2007) Dissecting timing variability in yeast meiosis. Cell , 131, 544–556 pmid:17981121.
|
| 3 |
Raj, A. and van Oudenaarden, A. (2008) Nature, nurture, or chance: Stochastic gene expression and its consequences. Cell , 135, 216–226 pmid:18957198.
|
| 4 |
Spencer, S. L. and Sorger, P. K. (2011) Measuring and modeling apoptosis in single cells. Cell , 144, 926–939 pmid:21414484.
|
| 5 |
Chang, H. H., Hemberg, M., Barahona, M., Ingber, D. E. and Huang, S. (2008) Transcriptome-wide noise controls lineage choice in mammalian progenitor cells. Nature , 453, 544–547 pmid:18497826.
|
| 6 |
Colman-Lerner, A., Gordon, A., Serra, E., Chin, T., Resnekov, O., Endy, D., Pesce, C. G. and Brent, R. (2005) Regulated cell-to-cell variation in a cell-fate decision system. Nature , 437, 699–706 pmid:16170311.
|
| 7 |
Raj, A., Rifkin, S. A., Andersen, E. and van Oudenaarden, A. (2010) Variability in gene expression underlies incomplete penetrance. Nature , 463, 913–918 pmid:20164922.
|
| 8 |
Spencer, S. L., Gaudet, S., Albeck, J. G., Burke, J. M. and Sorger, P. K. (2009) Non-genetic origins of cell-to-cell variability in TRAIL-induced apoptosis. Nature , 459, 428–432 pmid:19363473.
|
| 9 |
Tay, S., Hughey, J. J., Lee, T. K., Lipniacki, T., Quake, S. R. and Covert, M. W. (2010) Single-cell NF-kappaB dynamics reveal digital activation and analogue information processing. Nature , 466, 267–271 pmid:20581820.
|
| 10 |
Khan, M., Vaes, E. and Mombaerts, P. (2011) Regulation of the probability of mouse odorant receptor gene choice. Cell , 147, 907–921 pmid:22078886.
|
| 11 |
Zeng, L., Skinner, S. O., Zong, C., Sippy, J., Feiss, M. and Golding, I. (2010) Decision making at a subcellular level determines the outcome of bacteriophage infection. Cell , 141, 682–691 pmid:20478257.
|
| 12 |
Vlamakis, H., Aguilar, C., Losick, R. and Kolter, R. (2008) Control of cell fate by the formation of an architecturally complex bacterial community. Genes. Dev. , 22, 945–953 pmid:18381896.
|
| 13 |
St-Pierre, F. and Endy, D. (2008) Determination of cell fate selection during phage lambda infection. Proc. Natl. Acad. Sci. USA , 105, 20705–20710 pmid:19098103.
|
| 14 |
Zong, C., So, L. H., Sepúlveda, L. A., Skinner, S. O. and Golding, I. (2010) Lysogen stability is determined by the frequency of activity bursts from the fate-determining gene. Mol. Syst. Biol. , 6, 440 pmid:21119634.
|
| 15 |
Snijder, B., Sacher, R., R?m?, P., Damm, E. M., Liberali, P. and Pelkmans, L. (2009) Population context determines cell-to-cell variability in endocytosis and virus infection. Nature , 461, 520–523 pmid:19710653.
|
| 16 |
Feinerman, O., Jentsch, G., Tkach, K. E., Coward, J. W., Hathorn, M. M., Sneddon, M. W., Emonet, T., Smith, K. A. and Altan-Bonnet, G. (2010) Single-cell quantification of IL-2 response by effector and regulatory T cells reveals critical plasticity in immune response. Mol. Syst. Biol. , 6, 437 pmid:21119631.
|
| 17 |
Cohen, A. A., Geva-Zatorsky, N., Eden, E., Frenkel-Morgenstern, M., Issaeva, I., Sigal, A., Milo, R., Cohen-Saidon, C., Liron, Y., Kam, Z., (2008) Dynamic proteomics of individual cancer cells in response to a drug. Science , 322, 1511–1516 pmid:19023046.
|
| 18 |
Snijder, B. and Pelkmans, L. (2011) Origins of regulated cell-to-cell variability. Nat. Rev. Mol. Cell Biol. , 12, 119–125 pmid:21224886.
|
| 19 |
Mettetal, J. T., Muzzey, D., Pedraza, J. M., Ozbudak, E. M. and van Oudenaarden, A. (2006) Predicting stochastic gene expression dynamics in single cells. Proc. Natl. Acad. Sci. USA , 103, 7304–7309 pmid:16648266.
|
| 20 |
Swain, P. S., Elowitz, M. B. and Siggia, E. D. (2002) Intrinsic and extrinsic contributions to stochasticity in gene expression. Proc. Natl. Acad. Sci. USA , 99, 12795–12800 pmid:12237400.
|
| 21 |
Elowitz, M. B., Levine, A. J., Siggia, E. D. and Swain, P. S. (2002) Stochastic gene expression in a single cell. Science , 297, 1183–1186 pmid:12183631.
|
| 22 |
Losick, R. and Desplan, C. (2008) Stochasticity and cell fate. Science , 320, 65–68 pmid:18388284.
|
| 23 |
Acar, M., Mettetal, J. T. and van Oudenaarden, A. (2008) Stochastic switching as a survival strategy in fluctuating environments. Nat. Genet. , 40, 471–475 pmid:18362885.
|
| 24 |
Wernet, M. F., Mazzoni, E. O., Celik, A., Duncan, D. M., Duncan, I. and Desplan, C. (2006) Stochastic spineless expression creates the retinal mosaic for colour vision. Nature , 440, 174–180 pmid:16525464.
|
| 25 |
Johnston, R. J. Jr and Desplan, C. (2010) Stochastic mechanisms of cell fate specification that yield random or robust outcomes. Annu. Rev. Cell Dev. Biol. , 26, 689–719 pmid:20590453.
|
| 26 |
Chabot, J. R., Pedraza, J. M., Luitel, P. and van Oudenaarden, A. (2007) Stochastic gene expression out-of-steady-state in the cyanobacterial circadian clock. Nature , 450, 1249–1252 pmid:18097413.
|
| 27 |
Weinberger, L. S., Burnett, J. C., Toettcher, J. E., Arkin, A. P. and Schaffer, D. V. (2005) Stochastic gene expression in a lentiviral positive-feedback loop: HIV-1 Tat fluctuations drive phenotypic diversity. Cell , 122, 169–182 pmid:16051143.
|
| 28 |
Maamar, H., Raj, A. and Dubnau, D. (2007) Noise in gene expression determines cell fate in Bacillus subtilis. Science , 317, 526–529 pmid:17569828.
|
| 29 |
Eldar, A. and Elowitz, M. B. (2010) Functional roles for noise in genetic circuits. Nature , 467, 167–173 pmid:20829787.
|
| 30 |
Yao, G., Lee, T. J., Mori, S., Nevins, J. R. and You, L. C. (2008) A bistable Rb-E2F switch underlies the restriction point. Nat. Cell Biol. 10, 476–482 pmid:18364697.
|
| 31 |
Batchelor, E., Loewer, A., Mock, C. and Lahav, G. (2011) Stimulus-dependent dynamics of p53 in single cells. Mol. Syst. Biol. , 7, 488 pmid:21556066.
|
| 32 |
Pelkmans, L. (2012) Cell Biology. Using cell-to-cell variability—a new era in molecular biology. Science , 336, 425–426 pmid:22539709.
|
| 33 |
Wang, C., Tian, Y. W., Wu, X. W. and Zhao, X. Z. (1990) Genetic polymorphisms of HLA class III and GLO1 in Chinese Yao nationality. Gene Geography: A Computerized Bulletin on Human Gene Frequencies 4, 29–34 .
|
| 34 |
Wong, J. V., Yao, G. A., Nevins, J. R. and You, L. C. (2011) Viral-mediated noisy gene expression reveals biphasic E2f1 response to MYC. Mol. Cell , 41, 275–285 pmid:21292160.
|
| 35 |
Austin, D. W., Allen, M. S., McCollum, J. M., Dar, R. D., Wilgus, J. R., Sayler, G. S., Samatova, N. F., Cox, C. D. and Simpson, M. L. (2006) Gene network shaping of inherent noise spectra. Nature , 439, 608–611 pmid:16452980.
|
| 36 |
Lestas, I., Vinnicombe, G. and Paulsson, J. (2010) Fundamental limits on the suppression of molecular fluctuations. Nature , 467, 174–178 pmid:20829788.
|
| 37 |
Volfson, D., Marciniak, J., Blake, W. J., Ostroff, N., Tsimring, L. S. and Hasty, J. (2006) Origins of extrinsic variability in eukaryotic gene expression. Nature , 439, 861–864 pmid:16372021.
|
| 38 |
Bialek, W. and Setayeshgar, S. (2008) Cooperativity, sensitivity, and noise in biochemical signaling. Phys. Rev. Lett. , 100, 258101 pmid:18643705.
|
| 39 |
Friedman, N., Cai, L. and Xie, X. S. (2006) Linking stochastic dynamics to population distribution: an analytical framework of gene expression. Phys. Rev. Lett. , 97, 168302 pmid:17155441.
|
| 40 |
Elf, J., Li, G. W. and Xie, X. S. (2007) Probing transcription factor dynamics at the single-molecule level in a living cell. Science , 316, 1191–1194 pmid:17525339.
|
| 41 |
Pedraza, J. M. and Paulsson, J. (2008) Effects of molecular memory and bursting on fluctuations in gene expression. Science , 319, 339–343 pmid:18202292.
|
| 42 |
Pedraza, J. M. and van Oudenaarden, A. (2005) Noise propagation in gene networks. Science , 307, 1965–1969 pmid:15790857.
|
| 43 |
Suter, D. M., Molina, N., Gatfield, D., Schneider, K., Schibler, U. and Naef, F. (2011) Mammalian genes are transcribed with widely different bursting kinetics. Science , 332, 472–474 pmid:21415320.
|
| 44 |
To, T.L. and Maheshri, N. (2010) Noise can induce bimodality in positive transcriptional feedback loops without bistability. Science , 327, 1142–1145 pmid:20185727.
|
| 45 |
Hallen, M., Li, B. C., Tanouchi, Y., Tan, C. E. M., West, M. and You, L. C. (2011) Computation of steady-state probability distributions in stochastic models of cellular networks. PLoS Comput. Biol. , 7, e1002209 pmid:22022252.
|
| 46 |
Ma, R., Wang, J. C., Hou, Z. H. and Liu, H. Y. (2012) Small-number effects: a third stable state in a genetic bistable toggle switch. Phys. Rev. Lett. , 109, 248107 pmid:23368390.
|
| 47 |
Ca?atay, T., Turcotte, M., Elowitz, M. B., Garcia-Ojalvo, J. and Süel, G. M. (2009) Architecture-dependent noise discriminates functionally analogous differentiation circuits. Cell , 139, 512–522 pmid:19853288.
|
| 48 |
Johnston, R. J. Jr, Otake, Y., Sood, P., Vogt, N., Behnia, R., Vasiliauskas, D., McDonald, E., Xie, B., Koenig, S., Wolf, R., (2011) Interlocked feedforward loops control cell-type-specific Rhodopsin expression in the Drosophila eye. Cell , 145, 956–968 pmid:21663797.
|
| 49 |
Dobrzynski, M. and Bruggeman, F. J. (2009) Elongation dynamics shape bursty transcription and translation. Proc. Natl. Acad. Sci. USA , 106, 2583–2588 pmid:19196995.
|
| 50 |
Tan, C., Marguet, P. and You, L. C. (2009) Emergent bistability by a growth-modulating positive feedback circuit. Nat. Chem. Biol. , 5, 842–848 pmid:19801994.
|
| 51 |
Munsky, B. and Khammash, M. (2010) Identification from stochastic cell-to-cell variation: a genetic switch case study. IET Syst. Biol. , 4, 356–366 pmid:21073235.
|
| 52 |
Warmflash, A. and Dinner, A. R. (2008) Signatures of combinatorial regulation in intrinsic biological noise. Proc. Natl. Acad. Sci. USA , 105, 17262–17267 pmid:18981421.
|
| 53 |
Maienschein-Cline, M., Warmflash, A. and Dinner, A. R. (2010) Defining cooperativity in gene regulation locally through intrinsic noise. IET Syst. Biol. , 4, 379–392 pmid:21073237.
|
| 54 |
Singh, A., Razooky, B. S., Dar, R. D. and Weinberger, L. S. (2012) Dynamics of protein noise can distinguish between alternate sources of gene-expression variability. Mol. Syst. Biol. , 8, 607 pmid:22929617.
|
| 55 |
Bar-Even, A., Paulsson, J., Maheshri, N., Carmi, M., O’Shea, E., Pilpel, Y. and Barkai, N. (2006) Noise in protein expression scales with natural protein abundance. Nat. Genet. , 38, 636–643 pmid:16715097.
|
| 56 |
Lopes, F. M., de Oliveira, E. A. and Cesar, R. M. Jr. (2011) Inference of gene regulatory networks from time series by Tsallis entropy. BMC Syst. Biol. , 5, 61 pmid:21545720.
|
| 57 |
Bendall, S. C. and Nolan, G. P. (2012) From single cells to deep phenotypes in cancer. Nat. Biotechnol. , 30, 639–647 pmid:22781693.
|
| 58 |
Munsky, B., Trinh, B. and Khammash, M. (2009) Listening to the noise: random fluctuations reveal gene network parameters. Mol. Syst. Biol. , 5, 318 pmid:19888213.
|
| 59 |
Hasenauer, J., Waldherr, S., Doszczak, M., Radde, N., Scheurich, P. and Allg?wer, F. (2011) Identification of models of heterogeneous cell populations from population snapshot data. BMC Bioinformatics , 12, 125 pmid:21527025.
|
| 60 |
Bonassi, F. V., You, L. C. and West, M. (2011) Bayesian learning from marginal data in bionetwork models. Stat. Appl. Genet. Mol. , 10.
|
| 61 |
Zechner, C., Ruess, J., Krenn, P., Pelet, S., Peter, M., Lygeros, J. and Koeppl, H. (2012) Moment-based inference predicts bimodality in transient gene expression. Proc. Natl. Acad. Sci. USA , 109, 8340–8345 pmid:22566653.
|
| 62 |
Lim, C. A., Yao, F., Wong, J. J. Y., George, J., Xu, H., Chiu, K. P., Sung, W. K., Lipovich, L., Vega, V. B., Chen, J., (2007) Genome-wide mapping of RELA(p65) binding identifies E2F1 as a transcriptional activator recruited by NF-kappaB upon TLR4 activation. Mol. Cell , 27, 622–635 pmid:17707233.
|
| 63 |
Lillacci, G. and Khammash, M. (2012) A distribution-matching method for parameter estimation and model selection in computational biology. International Journal of Robust and Nonlinear Control , 22, 1065–1081 .
|
| 64 |
Kügler, P. (2012) Moment fitting for parameter inference in repeatedly and partially observed stochastic biological models. PLoS One , 7, e43001 pmid:22900079.
|
| 65 |
August, E. (2012) Using noise for model-testing. Journal of Computational Biology: A Journal of Computational Molecular Cell Biology 19, 968–977 .
|
| 66 |
Cox, C. D., McCollum, J. M., Allen, M. S., Dar, R. D. and Simpson, M. L. (2008) Using noise to probe and characterize gene circuits. Proc. Natl. Acad. Sci. USA , 105, 10809–10814 pmid:18669661.
|
| 67 |
Kim, D., Debusschere, B. J. and Najm, H. N. (2007) Spectral methods for parametric sensitivity in stochastic dynamical systems. Biophys. J. , 92, 379–393 pmid:17085489.
|
| 68 |
Ren, J., Wang, W. X., Li, B. and Lai, Y. C. (2010) Noise bridges dynamical correlation and topology in coupled oscillator networks. Phys. Rev. Lett. , 104, 058701 pmid:20366800.
|
| 69 |
Feinerman, O., Veiga, J., Dorfman, J. R., Germain, R. N. and Altan-Bonnet, G. (2008) Variability and robustness in T cell activation from regulated heterogeneity in protein levels. Science , 321, 1081–1084 pmid:18719282.
|
| 70 |
Brock, A., Chang, H. and Huang, S. (2009) Non-genetic heterogeneity—a mutation-independent driving force for the somatic evolution of tumours. Nat. Rev. Genet. , 10, 336–342 pmid:19337290.
|
| 71 |
Creixell, P., Schoof, E. M., Erler, J. T. and Linding, R. (2012) Navigating cancer network attractors for tumor-specific therapy. Nat. Biotechnol. , 30, 842–848 pmid:22965061.
|
| 72 |
Gerlinger, M., Rowan, A. J., Horswell, S., Larkin, J., Endesfelder, D., Gronroos, E., Martinez, P., Matthews, N., Stewart, A., Tarpey, P., (2012) Intratumor heterogeneity and branched evolution revealed by multiregion sequencing. N. Engl. J. Med. , 366, 883–892 pmid:22397650.
|
| 73 |
Irish, J. M., Hovland, R., Krutzik, P. O., Perez, O. D., Bruserud, O., Gjertsen, B. T. and Nolan, G.P. (2004) Single cell profiling of potentiated phospho-protein networks in cancer cells. Cell , 118, 217–228 pmid:15260991.
|
| 74 |
Kotecha, N., Flores, N. J., Irish, J. M., Simonds, E. F., Sakai, D. S., Archambeault, S., Diaz-Flores, E., Coram, M., Shannon, K. M., Nolan, G. P., (2008) Single-cell profiling identifies aberrant STAT5 activation in myeloid malignancies with specific clinical and biologic correlates. Cancer Cell , 14, 335–343 pmid:18835035.
|
| 75 |
Hayashi, M., Okabe-Kado, J. and Hozumi, M. (1994) Flow-cytometric analysis of in vivo induction of differentiation of WEHI-3B myelomonocytic leukemia cells by recombinant granulocyte colony-stimulating factor. Exp. Hematol. , 22, 393–398 pmid:7512048.
|
| 76 |
Marusyk, A., Almendro, V. and Polyak, K. (2012) Intra-tumour heterogeneity: a looking glass for cancer? Nat. Rev. Cancer , 12, 323–334 pmid:22513401.
|
| 77 |
Li, W., Cui, L. B. and Ng, M. K. (2012) On computation of the steady-state probability distribution of probabilistic Boolean networks with gene perturbation. J. Comput. Appl. Math. , 236, 4067–4081 .
|
| 78 |
Gupta, P. B., Fillmore, C. M., Jiang, G., Shapira, S. D., Tao, K., Kuperwasser, C. and Lander, E. S. (2011) Stochastic state transitions give rise to phenotypic equilibrium in populations of cancer cells. Cell , 146, 633–644 pmid:21854987.
|
| 79 |
Krutzik, P. O., Crane, J. M., Clutter, M. R. and Nolan, G. P. (2008) High-content single-cell drug screening with phosphospecific flow cytometry. Nat. Chem. Biol. , 4, 132–142 pmid:18157122.
|
| 80 |
Ghimire, P., Wu, G. Y. and Zhu, L. (2010) Primary esophageal lymphoma in immunocompetent patients: Two case reports and literature review. World Journal of Radiology , 2, 334–338 .
|
| 81 |
Song, Y., Yang, Z., Ke, Z., Yao, Y., Hu, X., Sun, Y., Li, H., Yin, J. and Zeng, C. (2012) Expression of 14-3-3gamma in patients with breast cancer: correlation with clinicopathological features and prognosis. Cancer Epidemiology , 36, 533–536 .
|
| 82 |
Bosch, J., Gerstein, H. C., Dagenais, G. R., Díaz, R., Dyal, L., Jung, H., Maggiono, A. P., Probstfield, J., Ramachandran, A., Riddle, M. C., and the ORIGIN Trial Investigators. (2012) n-3 fatty acids and cardiovascular outcomes in patients with dysglycemia. N. Engl. J. Med. , 367, 309–318 pmid:22686415.
|
| 83 |
Gerstein, H. C., Bosch, J., Dagenais, G. R., Díaz, R., Jung, H., Maggioni, A. P., Pogue, J., Probstfield, J., Ramachandran, A., Riddle, M. C., and the ORIGIN Trial Investigators. (2012) Basal insulin and cardiovascular and other outcomes in dysglycemia. N. Engl. J. Med. , 367, 319–328 pmid:22686416.
|
| 84 |
Canham, M. A., Sharov, A. A., Ko, M. S. and Brickman, J. M. (2010) Functional heterogeneity of embryonic stem cells revealed through translational amplification of an early endodermal transcript. PLoS Biol. , 8, e1000379 pmid:20520791.
|
| 85 |
Novershtern, N., Subramanian, A., Lawton, L. N., Mak, R. H., Haining, W. N., McConkey, M. E., Habib, N., Yosef, N., Chang, C. Y., Shay, T., (2011) Densely interconnected transcriptional circuits control cell states in human hematopoiesis. Cell , 144, 296–309 pmid:21241896.
|
| 86 |
Caie, P. D., Walls, R. E., Ingleston-Orme, A., Daya, S., Houslay, T., Eagle, R., Roberts, M. E., and Carragher, N. O. (2010) High-content phenotypic profiling of drug response signatures across distinct cancer cells. Mol. Cancer Ther. , 9, 1913–1926 pmid:20530715.
|
| 87 |
Sutherland, J. J., Low, J., Blosser, W., Dowless, M., Engler, T. A. and Stancato, L. F. (2011) A robust high-content imaging approach for probing the mechanism of action and phenotypic outcomes of cell-cycle modulators. Mol. Cancer Ther. , 10, 242–254 pmid:21216932.
|
| 88 |
Elghetany, M. T. (2002) Diagnostic utility of flow cytometric immunophenotyping in myelodysplastic syndrome. Blood , 99, 391–392 pmid:11783436.
|
| 89 |
Stetler-Stevenson, M., Arthur, D. C., Jabbour, N., Xie, X. Y., Molldrem, J., Barrett, A. J., Venzon, D. and Rick, M. E. (2001) Diagnostic utility of flow cytometric immunophenotyping in myelodysplastic syndrome. Blood , 98, 979–987 pmid:11493442.
|
| 90 |
Finn, W. G., Harrington, A. M., Carter, K. M., Raich, R., Kroft, S. H. and Hero, A. O. 3rd. (2011) Immunophenotypic signatures of benign and dysplastic granulopoiesis by cytomic profiling. Cytometry B Clin. Cytom. , 80, 282–290 pmid:21462309.
|
| 91 |
Stachurski, D., Smith, B. R., Pozdnyakova, O., Andersen, M., Xiao, Z., Raza, A., Woda, B. A., and Wang, S. A. (2008) Flow cytometric analysis of myelomonocytic cells by a pattern recognition approach is sensitive and specific in diagnosing myelodysplastic syndrome and related marrow diseases: emphasis on a global evaluation and recognition of diagnostic pitfalls. Leuk. Res. , 32, 215–224 pmid:17675229.
|
| 92 |
Pyne, S., Hu, X., Wang, K., Rossin, E., Lin, T. I., Maier, L. M., Baecher-Allan, C., McLachlan, G. J., Tamayo, P., Hafler, D. A., (2009) Automated high-dimensional flow cytometric data analysis. Proc. Natl. Acad. Sci. USA , 106, 8519–8524 pmid:19443687.
|
| 93 |
Finn, W. G., Carter, K. M., Raich, R., Stoolman, L. M. and Hero, A. O. (2009) Analysis of clinical flow cytometric immunophenotyping data by clustering on statistical manifolds: treating flow cytometry data as high-dimensional objects. Cytometry B Clin. Cytom. , 76, 1–7 pmid:18642311.
|
| 94 |
Rogers, W. T. and Holyst, H. A. (2009) FlowFP: A bioconductor package for fingerprinting flow cytometric data. Adv. Bioinformatics, 193947 pmid:19956416.
|
| 95 |
Rogers, W. T., Moser, A. R., Holyst, H. A., Bantly, A., Mohler, E. R., 3rd, Scangas, G. and Moore, J. S. (2008) Cytometric fingerprinting: quantitative characterization of multivariate distributions. Cytometry. Part A: the Journal of the International Society for Analytical Cytology , 73, 430–441 .
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