{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,4]],"date-time":"2026-10-04T13:56:19Z","timestamp":1791122179066,"version":"4.1.0"},"reference-count":37,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2009,4,21]],"date-time":"2009-04-21T00:00:00Z","timestamp":1240272000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bull. Math. Biol."],"published-print":{"date-parts":[[2009,10]]},"DOI":"10.1007\/s11538-009-9418-6","type":"journal-article","created":{"date-parts":[[2009,4,20]],"date-time":"2009-04-20T18:55:19Z","timestamp":1240253719000},"page":"1649-1670","source":"Crossref","is-referenced-by-count":19,"title":["Interpreting CFSE Obtained Division Histories of B Cells in\u00a0Vitro with Smith\u2013Martin and Cyton Type Models"],"prefix":"10.1007","volume":"71","author":[{"given":"Ha Youn","family":"Lee","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Edwin","family":"Hawkins","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Martin S.","family":"Zand","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tim","family":"Mosmann","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hulin","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Philip D.","family":"Hodgkin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alan S.","family":"Perelson","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2009,4,21]]},"reference":[{"key":"9418_CR1","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1098\/rspb.2005.3432","volume":"273","author":"B. Asquith","year":"2006","unstructured":"Asquith, B., Debacq, C., Florins, A., Gillet, N., Sanchez-Alcaraz, T., Mosley, A., Willems, L., 2006. Quantifying lymphocyte kinetics in vivo using carboxyfluorescein diacetate succinimidyl ester (CFSE). Proc. R. Soc. B 273, 1165\u20131171.","journal-title":"Proc. R. Soc. B"},{"key":"9418_CR2","doi-asserted-by":"crossref","first-page":"3414","DOI":"10.1016\/S0006-3495(03)70063-0","volume":"84","author":"S. Bernard","year":"2003","unstructured":"Bernard, S., Pujo-Menjouret, L., Mackey, M.C., 2003. Analysis of cell kinetics using a cell division marker: mathematical modeling of experimental data. Biophys. J. 84, 3414\u20133424.","journal-title":"Biophys. J."},{"key":"9418_CR3","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/S1074-7613(00)80605-6","volume":"9","author":"J.J. Bird","year":"1998","unstructured":"Bird, J.J., Brown, D.R., Mullen, A.C., , 1998. Helper T cell differentiation is controlled by the cell cycle. Immunity 9, 229\u2013237.","journal-title":"Immunity"},{"key":"9418_CR4","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/0092-8674(80)90524-3","volume":"19","author":"R.F. Brooks","year":"1980","unstructured":"Brooks, R.F., Bennett, D.C., Smith, J.A., 1980. Mammalian cell cycles need two random transitions. Cell 19, 493\u2013504.","journal-title":"Cell"},{"key":"9418_CR5","doi-asserted-by":"crossref","first-page":"8590","DOI":"10.1038\/sj.onc.1207102","volume":"22","author":"S. Cory","year":"2003","unstructured":"Cory, S., Huang, D.C., Adams, J.M., 2003. The Bcl-2 family: roles in cell survival and oncogenesis. Oncogene 22, 8590\u20138607.","journal-title":"Oncogene"},{"key":"9418_CR6","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.cam.2004.08.020","volume":"184","author":"R.J. Boer De","year":"2005","unstructured":"De Boer, R.J., Perelson, A.S., 2005. Estimating division and death rates from CFSE data. J. Comput. Appl. Math. 184, 140\u2013164.","journal-title":"J. Comput. Appl. Math."},{"key":"9418_CR7","doi-asserted-by":"crossref","first-page":"1011","DOI":"10.1007\/s11538-006-9094-8","volume":"68","author":"R.J. Boer De","year":"2006","unstructured":"De Boer, R.J., Ganusov, V.V., Milutinovic, D., Hodgkin, P.D., Perelson, A.S., 2006. Estimating lymphocyte division and death rates from CFSE data. Bull. Math. Biol. 68, 1011\u20131031.","journal-title":"Bull. Math. Biol."},{"key":"9418_CR8","doi-asserted-by":"crossref","first-page":"4707","DOI":"10.4049\/jimmunol.163.9.4707","volume":"163","author":"E.K. Deenick","year":"1999","unstructured":"Deenick, E.K., Hasbold, J., Hodgkin, P.D., 1999a. Switching to IgG3, IgG2b, and IgA is division linked and independent, revealing a stochastic framework for describing differentiation. J. Immunol. 163, 4707\u20134714.","journal-title":"J. Immunol."},{"key":"9418_CR9","doi-asserted-by":"crossref","first-page":"4707","DOI":"10.4049\/jimmunol.163.9.4707","volume":"163","author":"E.K. Deenick","year":"1999","unstructured":"Deenick, E.K., Hasbold, J., Hodgkin, P.D., 1999b. Switching to IgG3, IgG2b, and IgA is division linked and independent, revealing a stochastic framework for describing differentiation. J. Immunol. 163, 4707\u20134714.","journal-title":"J. Immunol."},{"key":"9418_CR10","doi-asserted-by":"crossref","first-page":"4963","DOI":"10.4049\/jimmunol.170.10.4963","volume":"170","author":"E.K. Deenick","year":"2003","unstructured":"Deenick, E.K., Gett, A.V., Hodgkin, P.D., 2003. Stochastic model of T cell proliferation: a calculus revealing IL-2 regulation of precursor frequencies, cell cycle time, and survival. J. Immunol. 170, 4963\u20134972.","journal-title":"J. Immunol."},{"key":"9418_CR11","doi-asserted-by":"crossref","first-page":"4953","DOI":"10.4049\/jimmunol.179.8.4953","volume":"179","author":"F.J. Dufort","year":"2007","unstructured":"Dufort, F.J., Beiman, B.F., Gumina, M.R., Blair, D., Wagner, D.J., Roberts, M.F., Abu-Amer, Y., Chiles, T.C., 2007. IL-4-mediated protection of primary B lymphocytes from apoptosis via Stat6-dependent regulation of glycolytic metabolism. J. Immunol. 179, 4953\u20134957.","journal-title":"J. Immunol."},{"key":"9418_CR12","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1214\/ss\/1177013815","volume":"1","author":"B. Efron","year":"1986","unstructured":"Efron, B., Tibshirani, R., 1986. Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Stat. Sci. 1, 54\u201377.","journal-title":"Stat. Sci."},{"key":"9418_CR13","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1046\/j.1440-1711.1999.00871.x","volume":"77","author":"B. Fazekas de St Groth","year":"1999","unstructured":"Fazekas de St Groth, B., Smith, A.L., Koh, W.-P., Girgis, L., Cook, M.C., Bertolino, P., 1999. Carboxyfluorescein diacetate succinimidyl ester and the virgin lymphocyte: A marriage made in heaven. Immnol. Cell Biol. 77, 530\u2013538.","journal-title":"Immnol. Cell Biol."},{"key":"9418_CR14","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/j.jim.2005.01.011","volume":"298","author":"V.V. Ganusov","year":"2005","unstructured":"Ganusov, V.V., Pilyugin, S.S., De Boer, R.J., Murali-Krishna, K., Ahmed, R., Antia, R., 2005. Quantifying cell turnover using CFSE data. J. Immunol. Methods 298, 183\u2013200.","journal-title":"J. Immunol. Methods"},{"key":"9418_CR15","doi-asserted-by":"crossref","first-page":"950","DOI":"10.4049\/jimmunol.179.2.950","volume":"179","author":"V.V. Ganusov","year":"2007","unstructured":"Ganusov, V.V., Milutinovic, D., De Boer, R.J., 2007. IL-2 regulates expansion of CD4+ T cell populations by affecting cell death: insights from modeling CFSE data. J. Immunol. 179, 950\u2013957.","journal-title":"J. Immunol."},{"key":"9418_CR16","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1084\/jem.173.3.747","volume":"173","author":"H. Gascan","year":"1991","unstructured":"Gascan, H., Gauchat, J.F., Roncarolo, M.G., Yssel, H., Spits, H., de Vries, J.E., 1991. Human B cell clones can be induced to proliferate and to switch to IgE and IgG4 synthesis by interleukin 4 and a signal provided by activated CD4+ T cell clones. J. Exp. Med. 173, 747\u2013750.","journal-title":"J. Exp. Med."},{"key":"9418_CR17","doi-asserted-by":"crossref","first-page":"9488","DOI":"10.1073\/pnas.95.16.9488","volume":"95","author":"A.V. Gett","year":"1998","unstructured":"Gett, A.V., Hodgkin, P.D., 1998. Cell division regulates the T cell cytokine repertoire, revealing a mechanism underlying immune class regulation. Proc. Natl. Acad. Sci. USA 95, 9488\u20139493.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"9418_CR18","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1038\/79782","volume":"1","author":"A.V. Gett","year":"2000","unstructured":"Gett, A.V., Hodgkin, P.D., 2000. A cellular calculus for signal integration by T cells. Nat. Immunol. 1, 239\u2013244.","journal-title":"Nat. Immunol."},{"key":"9418_CR19","doi-asserted-by":"crossref","first-page":"4726","DOI":"10.4049\/jimmunol.178.8.4726","volume":"178","author":"B. Guo","year":"2007","unstructured":"Guo, B., Blair, D., Chiles, T.C., Lowell, C.A., Rothstein, T.L., 2007. B cell receptor (BCR) cross-talk: the IL-4-induced alternate pathway for BCR signaling operates in parallel with the classical pathway, is sensitive to Rottlerin, and depends on Lyn. J. Immunol. 178, 4726\u20134730.","journal-title":"J. Immunol."},{"key":"9418_CR20","doi-asserted-by":"crossref","first-page":"1040","DOI":"10.1002\/(SICI)1521-4141(199803)28:03<1040::AID-IMMU1040>3.0.CO;2-9","volume":"28","author":"J.A. Hasbold","year":"1998","unstructured":"Hasbold, J.A., Lyons, A.B., Kehry, M.R., Hodgkin, P.D., 1998. Cell division number regulates IgG1 and IgE switching of B cells following stimulation by CD40 ligand and IL-4. Eur. J. Immunol. 28, 1040\u20131051.","journal-title":"Eur. J. Immunol."},{"key":"9418_CR21","doi-asserted-by":"crossref","first-page":"5032","DOI":"10.1073\/pnas.0700026104","volume":"104","author":"E.D. Hawkins","year":"2007","unstructured":"Hawkins, E.D., Turner, M.L., Dowling, M.R., van Gend, C., Hodgkin, P.D., 2007. A model of immune regulation as a consequence of randomized lymphocyte division and death times. Proc. Natl. Acad. Sci. USA 104, 5032\u20135037.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"9418_CR22","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/0008-8749(91)90327-8","volume":"134","author":"P.D. Hodgkin","year":"1991","unstructured":"Hodgkin, P.D., Go, N.F., Cupp, J.E., Howard, M., 1991. Interleukin-4 enhances anti-IgM stimulation of B cells by improving cell viability and by increasing the sensitivity of B cells by improving cell viability and by increasing the sensitivity of B cells to the anti-IgM signal. Cell. Immunol. 134, 14\u201330.","journal-title":"Cell. Immunol."},{"key":"9418_CR23","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1084\/jem.184.1.277","volume":"184","author":"P.D. Hodgkin","year":"1996","unstructured":"Hodgkin, P.D., Lee, J.H., Lyons, A.B., 1996. B cell differentiation and isotype switching is related to division cycle number. J. Exp. Med. 184, 277\u2013281.","journal-title":"J. Exp. Med."},{"key":"9418_CR24","doi-asserted-by":"crossref","first-page":"2965","DOI":"10.4049\/jimmunol.151.6.2965","volume":"151","author":"V.A. Illera","year":"1993","unstructured":"Illera, V.A., Perandones, C.E., Stunz, L.L., Mower, D.A. Jr., Ashman, R.F., 1993. Apoptosis in splenic B lymphocytes. Regulation by protein kinase C and IL-4. J. Immunol. 151, 2965\u20132973.","journal-title":"J. Immunol."},{"key":"9418_CR25","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s11538-007-9239-4","volume":"70","author":"H.Y. Lee","year":"2008","unstructured":"Lee, H.Y., Perelson, A.S., 2008. Modeling T cell proliferation and death in vitro based on labeling data: generalizations of the Smith-Martin cell cycle model. Bull. Math. Biol. 70, 21\u201344.","journal-title":"Bull. Math. Biol."},{"key":"9418_CR26","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1016\/j.jtbi.2004.04.011","volume":"229","author":"K. Leon","year":"2004","unstructured":"Leon, K., Faro, J., Carneiro, J., 2004. A general mathematical framework to model generation structure in a population of asynchronously dividing cells. J. Theor. Biol. 229, 455\u2013476.","journal-title":"J. Theor. Biol."},{"key":"9418_CR27","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/S0022-1759(00)00231-3","volume":"243","author":"A.B. Lyons","year":"2000","unstructured":"Lyons, A.B., 2000. Analyzing cell division in vivo and in vitro using flow cytometric measurement of CFSE dye dilution. J. Immunol. Methods 243, 147\u2013154.","journal-title":"J. Immunol. Methods"},{"key":"9418_CR28","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0022-1759(94)90236-4","volume":"171","author":"A.B. Lyons","year":"1994","unstructured":"Lyons, A.B., Parish, C.R., 1994. Determination of lymphocyte division by flow cytometry. J. Immunol. Methods 171, 131\u2013137.","journal-title":"J. Immunol. Methods"},{"key":"9418_CR29","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1046\/j.1440-1711.1999.00869.x","volume":"77","author":"R.E. Nordon","year":"1999","unstructured":"Nordon, R.E., Nakamura, M., Ramirez, C., Odell, R., 1999. Analysis of growth kinetics by division tracking. Immunol. Cell. Biol. 77, 523\u2013529.","journal-title":"Immunol. Cell. Biol."},{"key":"9418_CR30","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/S0092-8674(00)81684-0","volume":"100","author":"P. Nurse","year":"2000","unstructured":"Nurse, P., 2000. A long twentieth century of the cell cycle and beyond. Cell 100, 71\u201378.","journal-title":"Cell"},{"key":"9418_CR31","doi-asserted-by":"crossref","first-page":"6880","DOI":"10.1073\/pnas.85.18.6880","volume":"85","author":"J. Pene","year":"1988","unstructured":"Pene, J., Rousset, F., Briere, F., Chretien, I., Bonnefoy, J.-Y., Spits, H., Yokota, T., Arai, N., Arai, K., Banchereau, J., de Vries, J.E., 1988. IgE production by normal human lymphocytes is induced by interleukin 4 and suppressed by interferons \u03b3 and \u03b1 and prostaglandin E2. Proc. Natl. Acad. Sci. 85, 6880\u20136884.","journal-title":"Proc. Natl. Acad. Sci."},{"key":"9418_CR32","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/S0022-5193(03)00245-5","volume":"225","author":"S.S. Pilyugin","year":"2003","unstructured":"Pilyugin, S.S., Ganusov, V.V., Murali-Krishna, K., Ahmed, R., Antia, R., 2003. The rescaling method for quantifying the turnover of cell population. J. Theor. Biol. 225, 275\u2013283.","journal-title":"J. Theor. Biol."},{"key":"9418_CR33","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1038\/ni713","volume":"2","author":"P. Revy","year":"2001","unstructured":"Revy, P., Sospedra, M., Barbour, B., Trautmann, A., 2001. Functional antigen-independent synapses formed between T cells and dendritic cells. Nat. Immunol. 2, 925\u2013931.","journal-title":"Nat. Immunol."},{"key":"9418_CR34","doi-asserted-by":"crossref","first-page":"1263","DOI":"10.1073\/pnas.70.4.1263","volume":"70","author":"J.A. Smith","year":"1973","unstructured":"Smith, J.A., Martin, L., 1973. Do cells cycle? Proc. Natl. Acad. Sci. USA 70, 1263\u20131267.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"9418_CR35","doi-asserted-by":"crossref","first-page":"686","DOI":"10.4049\/jimmunol.170.2.686","volume":"170","author":"S.G. Tangye","year":"2003","unstructured":"Tangye, S.G., Avery, D.T., Deenick, E.K., Hodgkin, P.D., 2003. Intrinsic differences in the proliferation of naive and memory human B cells as a mechanism for enhanced secondary immune response. J.\u00a0Immunol. 170, 686\u2013694.","journal-title":"J.\u00a0Immunol."},{"key":"9418_CR36","doi-asserted-by":"crossref","first-page":"1123","DOI":"10.4049\/jimmunol.161.3.1123","volume":"161","author":"E.F. Wagner","year":"1998","unstructured":"Wagner, E.F., Hleb, M., Hanna, N., Sharma, S., 1998. A pivotal role of cyclin D3 and cyclin-dependent kinase inhibitor p27 in the regulation of IL-2-, IL-4-, or IL-10-mediated human B cell proliferation. J. Immunol. 161, 1123\u20131131.","journal-title":"J. Immunol."},{"key":"9418_CR37","doi-asserted-by":"crossref","first-page":"5573","DOI":"10.4049\/jimmunol.165.10.5573","volume":"165","author":"E.F. Wagner","year":"2000","unstructured":"Wagner, E.F., Hanna, N., Fast, L.D., Kouttab, N., Shank, P.R., Vazquez, A., Sharma, S., 2000. Novel diversity in IL-4 mediated responses in resting human naive B cells versus germinal center\/memory B cells. J. Immunol. 165, 5573\u20135579.","journal-title":"J. Immunol."}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-009-9418-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11538-009-9418-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-009-9418-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,24]],"date-time":"2023-05-24T21:56:55Z","timestamp":1684965415000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11538-009-9418-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4,21]]},"references-count":37,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["9418"],"URL":"https:\/\/doi.org\/10.1007\/s11538-009-9418-6","relation":{},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4,21]]}}}