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A division-dependent compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays
1. | Center for Research in Scientific Computation, Center for Quantitative Sciences in Biomedicine, North Carolina State University, Raleigh, NC 27695-8212 |
2. | Center for Research in Scientific Computation, and Center for Quantitative Sciences in Biomedicine, North Carolina State University, Raleigh, NC 27695-8212, United States |
3. | ICREA Infection Biology Lab, Department of Experimental and Health Sciences, Univ. Pompeu Fabra, 08003 Barcelona, Spain, Spain, Spain, Spain |
References:
[1] |
H. T. Banks, "A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering,", CRC Press/Taylor-Francis, (2012). Google Scholar |
[2] |
H. T. Banks and Kathleen Bihari, Modelling and estimating uncertainty in parameter estimation,, Inverse Problems, 17 (2001), 95.
doi: 10.1088/0266-5611/17/1/308. |
[3] |
H. T.Banks, V. A. Bokil, S. Hu, F. C. T. Allnutt, R. Bullis, A. K. Dhar and C. L. Browdy, Shrimp biomass and viral infection for production of biological countermeasures,, CRSC-TR05-45, 3 (2006), 05.
|
[4] |
H. T. Banks, D. M. Bortz and S. E. Holte, Incorporation of variability into the mathematical modeling of viral delays in HIV infection dynamics,, Math. Biosciences, 183 (2003), 63.
doi: 10.1016/S0025-5564(02)00218-3. |
[5] |
H. T. Banks, D. M. Bortz, G. A. Pinter and L. K. Potter, Modeling and imaging techniques with potential for application in bioterrorism,, CRSC-TR03-02, FR28 (2003), 03.
|
[6] |
H. T. Banks, L. W. Botsford, F. Kappel and C. Wang, Modeling and estimation in size structured population models,, LCDS/CSS Report 87-13, (1987), 87.
|
[7] |
H. T. Banks, Frederique Charles, Marie Doumic, Karyn L. Sutton and W. Clayton Thompson, Label structured cell proliferation models,, Appl. Math. Letters, 23 (2010), 1412.
doi: 10.1016/j.aml.2010.07.009. |
[8] |
H. T. Banks, M. Davidian, J. Samuels and K. L. Sutton, An inverse problem statistical methodology summary,, CRSC-TR08-01, (2008), 08. Google Scholar |
[9] |
H. T. Banks and J. L. Davis, A comparison of approximation methods for the estimation of probability distributions on parameters,, Appl. Num. Math., 57 (2007), 753.
doi: 10.1016/j.apnum.2006.07.016. |
[10] |
H. T. Banks, J. L. Davis, S. L. Ernstberger, S. Hu, E. Artimovich, A. K. Dhar and C. L. Browdy, A comparison of probabilistic and stochastic formulations in modeling growth uncertainty and variability,, CRSC-TR08-03, 3 (2009), 08.
|
[11] |
H. T. Banks and B. G. Fitzpatrick, Inverse problems for distributed systems: statistical tests and ANOVA,, LCDS/CSS Report 88-16, 81 (1989), 88.
|
[12] |
H. T. Banks and B. F. Fitzpatrick, Estimation of growth rate distributions in size-structured population models,, CAMS Tech. Rep. 90-2, 49 (1991), 90.
|
[13] |
H. T. Banks and N. L. Gibson, Well-posedness in Maxwell systems with distributions of polarization relaxation parameters,, CRSC-TR04-01, 18 (2005), 04.
|
[14] |
H. T. Banks and N. L. Gibson, Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters,, CRSC-TR05-29, 64 (2006), 05.
|
[15] |
H. T. Banks and K. Kunisch, "Estimation Techniques for Distributed Parameter Systems,", Birkhauser, (1989).
|
[16] |
H. T. Banks and G. A. Pinter, A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue,, CRSC-TR04-03, 3 (2005), 04.
|
[17] |
H. T. Banks and L. K. Potter, Probabilistic methods for addressing uncertainty and variability in biological models: Application to a toxicokinetic model,, CRSC-TR02-27, 192 (2004), 02.
|
[18] |
H. T. Banks, Karyn L. Sutton, W. Clayton Thompson, G. Bocharov, Marie Doumic, Tim Schenkel, Jordi Argilaguet, Sandra Giest, Cristina Peligero and Andreas Meyerhans, A new model for the estimation of cell proliferation dynamics using CFSE data,, CRSC-TR11-05, 373 (2011), 11.
doi: 10.1016/j.jim.2011.08.014. |
[19] |
H. T. Banks, Karyn L. Sutton, W. Clayton Thompson, Gennady Bocharov, Dirk Roose, Tim Schenkel and Andreas Meyerhans, Estimation of cell proliferation dynamics using CFSE data,, CRSC-TR09-17, 70 (2011), 09.
doi: 10.1007/s11538-010-9524-5. |
[20] |
H. T. Banks, W. C. Thompson, C. Peligero, S. Giest, J. Argilaguet and A. Meyerhans, A compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays,, Technical Report CRSC-TR12-03, (2012), 12. Google Scholar |
[21] |
H. T. Banks and H. T. Tran, "Mathematical and Experimental Modeling of Physical and Biological Processes,", CRC Press, (2009).
|
[22] |
H. T. Banks, B. G. Fitzpatrick, Laura K. Potter and Yue Zhang, Estimation of probability distributions for individual parameters using aggregate population observations,, CRSC-TR98-06, (1998), 98. Google Scholar |
[23] |
G. Bell and E. Anderson, Cell growth and division I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures,, Biophysical Journal, 7 (1967), 329. Google Scholar |
[24] |
K. P. Burnham and D. R. Anderson, "Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach,", (2nd Edition), (2002).
|
[25] |
Nigel J. Burroughs and P. Anton van der Merwe, Stochasticity and spatial heterogeneity in T-cell activation,, Immunological Reviews, 216 (2007), 69. Google Scholar |
[26] |
R. Callard and P. D. Hodgkin, Modeling T- and B-cell growth and differentiation,, Immunological Reviews, 216 (2007), 119. Google Scholar |
[27] |
Robin E. Callard, Jaroslav Stark and Andrew J. Yates, Fratricide: a mechanism for T memory-cell homeostasis,, Trends in Immunology, 24 (2003), 370.
doi: 10.1016/S1471-4906(03)00164-9. |
[28] |
R. J. Carroll and D. Ruppert, "Transformation and Weighting in Regression,", Chapman Hall, (2000).
|
[29] |
M. Davidian and D. M. Giltinan, "Nonlinear Models for Repeated Measurement Data,", Chapman and Hall, (2000). Google Scholar |
[30] |
R. J. DeBoer, V. V. Ganusov, D. Milutinovic, P. D. Hodgkin and A. S. Perelson, Estimating lymphocyte division and death rates from CFSE data,, Bull. Math. Biol., 68 (2006), 1011.
doi: 10.1007/s11538-006-9094-8. |
[31] |
R. J. DeBoer and Alan S. Perelson, Estimating division and death rates from CFSE data,, J. Comp. and Appl. Mathematics, 184 (2005), 140.
doi: 10.1016/j.cam.2004.08.020. |
[32] |
E. K. Deenick, A. V. Gett and P. D. Hodgkin, Stochastic model of T cell proliferation: a calculus revealing IL-2 regulation of precursor frequencies, cell cycle time, and survival,, J. Immunology, 170 (2003), 4963. Google Scholar |
[33] |
Mark R Dowling, Dejan Milutinovic and Philip D Hodgkin, Modelling cell lifespan and proliferation: is likelihood to die or to divide independent of age?,, J. R. Soc. Interface, 2 (2005), 517. Google Scholar |
[34] |
K. Duffy and V. Subramanian, On the impact of correlation between collaterally consanguineous cells on lymphocyte population dynamics,, J. Math. Biol., 59 (2009), 255.
doi: 10.1007/s00285-008-0231-x. |
[35] |
D. A. Fulcher and S. W. J. Wong, Carboxyfluorescein diacetate succinimidyl ester-based assays for assessment of T cell function in the diagnostic laboratory,, Immunology and Cell Biology, 77 (1999), 559.
doi: 10.1046/j.1440-1711.1999.00870.x. |
[36] |
Vitaly V. Ganusov, Dejan Milutinovi and Rob J. De Boer, IL-2 regulates expansion of CD4+ T cell populations by affecting cell death: Insights from modeling CFSE data,, J. Immunology, 179 (2007), 950. Google Scholar |
[37] |
V. V. Ganusov, S. S. Pilyugin, R. J. De Boer, K. Murali-Krishna, R. Ahmed and R. Antia, Quantifying cell turnover using CFSE data,, J. Immunological Methods, 298 (2005), 183.
doi: 10.1016/j.jim.2005.01.011. |
[38] |
A. V. Gett and P. D. Hodgkin, A cellular calculus for signal integration by T cells,, Nature Immunology, 1 (2000), 239. Google Scholar |
[39] |
M. Kot, "Elements of Mathematical Ecology,", Cambridge University Press, (2001).
|
[40] |
M. Gyllenberg and G. F. Webb, A nonlinear structured population model of tumor growth with quiescence,, J. Math. Biol., 28 (1990), 671.
doi: 10.1007/BF00160231. |
[41] |
J. Hasenauer, D. Schittler, and F. Allgöwer, A computational model for proliferation dynamics of division- and label-structured populations,, , (2012). Google Scholar |
[42] |
E. D. Hawkins, Mirja Hommel, M. L Turner, Francis Battye, J. Markham and P. D Hodgkin, Measuring lymphocyte proliferation, survival and differentiation using CFSE time-series data,, Nature Protocols, 2 (2007), 2057. Google Scholar |
[43] |
E. D. Hawkins, J. F. Markham, L. P. McGuinness and P. D. Hodgkin, A single-cell pedigree analysis of alternative stochastic lymphocyte fates,, Proc. Natl. Acad. Sci., 106 (2009), 13457.
doi: 10.1073/pnas.0905629106. |
[44] |
Mirja Hommel and Philip D. Hodgkin, TCR affinity promotes CD8+ T-cell expansion by regulating survival,, J. Immunology, 179 (2007), 2250. Google Scholar |
[45] |
O. Hyrien and M. S. Zand, A mixture model with dependent observations for the analysis of CFSE-labeling experiments,, J. American Statistical Association, 103 (2008), 222.
doi: 10.1198/016214507000000194. |
[46] |
O. Hyrien, R. Chen and M. S. Zand, An age-dependent branching process model for the analysis of CFSE-labeling experiments,, Biology Direct, 5 (2010). Google Scholar |
[47] |
D. E. Kirschner, S. T. Chang, T. W. Riggs, N. Perry and J. J. Linderman, Toward a multiscale model of antigen presentation in immunity,, Immunological Reviews, 216 (2007), 93. Google Scholar |
[48] |
H. Y. Lee, E. D. Hawkins, M. S. Zand, T. Mosmann, H. Wu, P. D. Hodgkin and A. S. Perelson, Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and Cyton type models,, Bull. Math. Biol., 71 (2009), 1649.
doi: 10.1007/s11538-009-9418-6. |
[49] |
H. Y. Lee and A. S. Perelson, Modeling T cell proliferation and death in vitro based on labeling data: Generalizations of the Smith-Martin cell cycle model,, Bull. Math. Biol., 70 (2008), 21.
doi: 10.1007/s11538-007-9239-4. |
[50] |
K. Leon, J. Faro and J. Carneiro, A general mathematical framework to model generation structure in a population of asynchronously dividing cells,, J. Theoretical Biology, 229 (2004), 455.
doi: 10.1016/j.jtbi.2004.04.011. |
[51] |
Y. Louzoun, The evolution of mathematical immunology,, Immunological Reviews, 216 (2007), 9. Google Scholar |
[52] |
T. Luzyanina, D. Roose and G. Bocharov, Distributed parameter identification for a label-structured cell population dynamics model using CFSE histogram time-series data,, J. Math. Biol., 59 (2009), 581.
doi: 10.1007/s00285-008-0244-5. |
[53] |
T. Luzyanina, M. Mrusek, J. T. Edwards, D. Roose, S. Ehl and G. Bocharov, Computational analysis of CFSE proliferation assay,, J. Math. Biol., 54 (2007), 57.
doi: 10.1007/s00285-006-0046-6. |
[54] |
T. Luzyanina, D. Roose, T. Schenkel, M. Sester, S. Ehl, A. Meyerhans and G. Bocharov, Numerical modelling of label-structured cell population growth using CFSE distribution data,, Theoretical Biology and Medical Modelling, 4 (2007). Google Scholar |
[55] |
A. B. Lyons and C. R. Parish, Determination of lymphocyte division by flow cytometry,, J. Immunol. Methods, 171 (1994), 131.
doi: 10.1016/0022-1759(94)90236-4. |
[56] |
A. B. Lyons, J. Hasbold and P. D. Hodgkin, Flow cytometric analysis of cell division history using diluation of carboxyfluorescein diacetate succinimidyl ester, a stably integrated fluorescent probe,, Methods in Cell Biology, 63 (2001), 375.
doi: 10.1016/S0091-679X(01)63021-8. |
[57] |
G. Matera, M. Lupi and P. Ubezio, Heterogeneous cell response to topotecan in a CFSE-based proliferative test,, Cytometry A, 62 (2004), 118.
doi: 10.1002/cyto.a.20097. |
[58] |
J. A. Metz and O. Diekmann, "The Dynamics of Physiologically Structured Populations,", Springer Lecture Notes in Biomathematics, 68 (1986).
|
[59] |
H. Miao, X. Jin, A. Perelson and H. Wu, Evaluation of multitype mathemathematical modelsfor CFSE-labeling experimental data,, Bull. Math. Biol., 74 (2012), 300.
doi: 10.1007/s11538-011-9668-y. |
[60] |
Robert E. Nordon, Kap-Hyoun Ko, Ross Odell and Timm Schroeder, Multi-type branching models to describe cell differentiation programs,, J. Theoretical Biology, 277 (2011), 7.
doi: 10.1016/j.jtbi.2011.02.006. |
[61] |
R. E. Nordon, M. Nakamura, C. Ramirez and R. Odell, Analysis of growth kinetics by division tracking,, Immunology and Cell Biology, 77 (1999), 523.
doi: 10.1046/j.1440-1711.1999.00869.x. |
[62] |
C. Parish, Fluorescent dyes for lymphocyte migration and proliferation studies,, Immunology and Cell Biol., 77 (1999), 499.
doi: 10.1046/j.1440-1711.1999.00877.x. |
[63] |
Sergei S. Pilyugin, Vitaly V. Ganusov, Kaja Murali-Krishnac, Rafi Ahmed and Rustom Antia, The rescaling method for quantifying the turnover of cell populations,, J. Theoretical Biology, 225 (2003), 275.
doi: 10.1016/S0022-5193(03)00245-5. |
[64] |
B. Quah, H. Warren and C. Parish, Monitoring lymphocyte proliferation in vitro and in vivo with the intracellular fluorescent dye carboxyfluorescein diacetate succinimidyl ester,, Nature Protocols, 2 (2007), 2049. Google Scholar |
[65] |
P. Revy, M. Sospedra, B. Barbour and A. Trautmann, Functional antigen-independent synapses formed between T cells and dendritic cells,, Nature Immunology, 2 (2001), 925. Google Scholar |
[66] |
G. A. Sever and C. J. Wild, "Nonlinear Regression,", Wiley, (2003).
|
[67] |
D. Schittler, J. Hasenauer and F. Allgöwer, A generalized model for cell proliferation: Integrating division numbers and label dynamics,, Proc. Eighth International Workshop on Computational Systems Biology (WCSB 2011), (2011), 165. Google Scholar |
[68] |
J. Sinko and W. Streifer, A new model for age-size structure of a population,, Ecology, 48 (1967), 910.
doi: 10.2307/1934533. |
[69] |
V. G. Subramanian, K. R. Duffy, M. L. Turner and P. D. Hodgkin, Determining the expected variability of immune responses using the cyton model,, J. Math. Biol., 56 (2008), 861.
doi: 10.1007/s00285-007-0142-2. |
[70] |
David T. Terrano, Meenakshi Upreti and Timothy C. Chambers, Cyclin-dependent kinase 1-mediated $Bcl-x_L$/Bcl-2 phosphorylation acts as a functional link coupling mitotic arrest and apoptosis,, Mol. Cell. Biol., 30 (2010), 640.
doi: 10.1128/MCB.00882-09. |
[71] |
W. Clayton Thompson, "Partial Differential Equation Modeling of Flow Cytometry Data from CFSE-based Proliferation Assays,", Ph.D. Dissertation, (2011). Google Scholar |
[72] |
B. Tummers, DataThief III., 2006. (, (). Google Scholar |
[73] |
M. L. Turner, E. D. Hawkins and P. D. Hodgkin, Quantitative regulation of B cell division destiny by signal strength,, J. Immunology, 181 (2008), 374. Google Scholar |
[74] |
H. Veiga-Fernandez, U. Walter, C. Bourgeois, A. McLean and B. Rocha, Response of naive and memory CD8+ T cells to antigen stimulation in vivo,, Nature Immunology, 1 (2000), 47. Google Scholar |
[75] |
P. K. Wallace, J. D. Tario, Jr., J. L. Fisher, S. S. Wallace, M. S. Ernstoff and K. A. Muirhead, Tracking antigen-driven responses by flow cytometry: monitoring proliferation by dye dilution,, Cytometry A, 73 (2008), 1019. Google Scholar |
[76] |
C. Wellard, J. Markham, E. D. Hawkins and P. D. Hodgkin, The effect of correlations on the population dynamics of lymphocytes,, J. Theoretical Biology, 264 (2010), 443.
doi: 10.1016/j.jtbi.2010.02.019. |
[77] |
J. M. Witkowski, Advanced application of CFSE for cellular tracking,, Current Protocols in Cytometry, (2008), 1. Google Scholar |
[78] |
A. Yates, C. Chan, J. Strid, S. Moon, R. Callard, A. J. T. George and J. Stark, Reconstruction of cell population dynamics using CFSE,, BMC Bioinformatics, 8 (2007). Google Scholar |
show all references
References:
[1] |
H. T. Banks, "A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering,", CRC Press/Taylor-Francis, (2012). Google Scholar |
[2] |
H. T. Banks and Kathleen Bihari, Modelling and estimating uncertainty in parameter estimation,, Inverse Problems, 17 (2001), 95.
doi: 10.1088/0266-5611/17/1/308. |
[3] |
H. T.Banks, V. A. Bokil, S. Hu, F. C. T. Allnutt, R. Bullis, A. K. Dhar and C. L. Browdy, Shrimp biomass and viral infection for production of biological countermeasures,, CRSC-TR05-45, 3 (2006), 05.
|
[4] |
H. T. Banks, D. M. Bortz and S. E. Holte, Incorporation of variability into the mathematical modeling of viral delays in HIV infection dynamics,, Math. Biosciences, 183 (2003), 63.
doi: 10.1016/S0025-5564(02)00218-3. |
[5] |
H. T. Banks, D. M. Bortz, G. A. Pinter and L. K. Potter, Modeling and imaging techniques with potential for application in bioterrorism,, CRSC-TR03-02, FR28 (2003), 03.
|
[6] |
H. T. Banks, L. W. Botsford, F. Kappel and C. Wang, Modeling and estimation in size structured population models,, LCDS/CSS Report 87-13, (1987), 87.
|
[7] |
H. T. Banks, Frederique Charles, Marie Doumic, Karyn L. Sutton and W. Clayton Thompson, Label structured cell proliferation models,, Appl. Math. Letters, 23 (2010), 1412.
doi: 10.1016/j.aml.2010.07.009. |
[8] |
H. T. Banks, M. Davidian, J. Samuels and K. L. Sutton, An inverse problem statistical methodology summary,, CRSC-TR08-01, (2008), 08. Google Scholar |
[9] |
H. T. Banks and J. L. Davis, A comparison of approximation methods for the estimation of probability distributions on parameters,, Appl. Num. Math., 57 (2007), 753.
doi: 10.1016/j.apnum.2006.07.016. |
[10] |
H. T. Banks, J. L. Davis, S. L. Ernstberger, S. Hu, E. Artimovich, A. K. Dhar and C. L. Browdy, A comparison of probabilistic and stochastic formulations in modeling growth uncertainty and variability,, CRSC-TR08-03, 3 (2009), 08.
|
[11] |
H. T. Banks and B. G. Fitzpatrick, Inverse problems for distributed systems: statistical tests and ANOVA,, LCDS/CSS Report 88-16, 81 (1989), 88.
|
[12] |
H. T. Banks and B. F. Fitzpatrick, Estimation of growth rate distributions in size-structured population models,, CAMS Tech. Rep. 90-2, 49 (1991), 90.
|
[13] |
H. T. Banks and N. L. Gibson, Well-posedness in Maxwell systems with distributions of polarization relaxation parameters,, CRSC-TR04-01, 18 (2005), 04.
|
[14] |
H. T. Banks and N. L. Gibson, Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters,, CRSC-TR05-29, 64 (2006), 05.
|
[15] |
H. T. Banks and K. Kunisch, "Estimation Techniques for Distributed Parameter Systems,", Birkhauser, (1989).
|
[16] |
H. T. Banks and G. A. Pinter, A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue,, CRSC-TR04-03, 3 (2005), 04.
|
[17] |
H. T. Banks and L. K. Potter, Probabilistic methods for addressing uncertainty and variability in biological models: Application to a toxicokinetic model,, CRSC-TR02-27, 192 (2004), 02.
|
[18] |
H. T. Banks, Karyn L. Sutton, W. Clayton Thompson, G. Bocharov, Marie Doumic, Tim Schenkel, Jordi Argilaguet, Sandra Giest, Cristina Peligero and Andreas Meyerhans, A new model for the estimation of cell proliferation dynamics using CFSE data,, CRSC-TR11-05, 373 (2011), 11.
doi: 10.1016/j.jim.2011.08.014. |
[19] |
H. T. Banks, Karyn L. Sutton, W. Clayton Thompson, Gennady Bocharov, Dirk Roose, Tim Schenkel and Andreas Meyerhans, Estimation of cell proliferation dynamics using CFSE data,, CRSC-TR09-17, 70 (2011), 09.
doi: 10.1007/s11538-010-9524-5. |
[20] |
H. T. Banks, W. C. Thompson, C. Peligero, S. Giest, J. Argilaguet and A. Meyerhans, A compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays,, Technical Report CRSC-TR12-03, (2012), 12. Google Scholar |
[21] |
H. T. Banks and H. T. Tran, "Mathematical and Experimental Modeling of Physical and Biological Processes,", CRC Press, (2009).
|
[22] |
H. T. Banks, B. G. Fitzpatrick, Laura K. Potter and Yue Zhang, Estimation of probability distributions for individual parameters using aggregate population observations,, CRSC-TR98-06, (1998), 98. Google Scholar |
[23] |
G. Bell and E. Anderson, Cell growth and division I. A mathematical model with applications to cell volume distributions in mammalian suspension cultures,, Biophysical Journal, 7 (1967), 329. Google Scholar |
[24] |
K. P. Burnham and D. R. Anderson, "Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach,", (2nd Edition), (2002).
|
[25] |
Nigel J. Burroughs and P. Anton van der Merwe, Stochasticity and spatial heterogeneity in T-cell activation,, Immunological Reviews, 216 (2007), 69. Google Scholar |
[26] |
R. Callard and P. D. Hodgkin, Modeling T- and B-cell growth and differentiation,, Immunological Reviews, 216 (2007), 119. Google Scholar |
[27] |
Robin E. Callard, Jaroslav Stark and Andrew J. Yates, Fratricide: a mechanism for T memory-cell homeostasis,, Trends in Immunology, 24 (2003), 370.
doi: 10.1016/S1471-4906(03)00164-9. |
[28] |
R. J. Carroll and D. Ruppert, "Transformation and Weighting in Regression,", Chapman Hall, (2000).
|
[29] |
M. Davidian and D. M. Giltinan, "Nonlinear Models for Repeated Measurement Data,", Chapman and Hall, (2000). Google Scholar |
[30] |
R. J. DeBoer, V. V. Ganusov, D. Milutinovic, P. D. Hodgkin and A. S. Perelson, Estimating lymphocyte division and death rates from CFSE data,, Bull. Math. Biol., 68 (2006), 1011.
doi: 10.1007/s11538-006-9094-8. |
[31] |
R. J. DeBoer and Alan S. Perelson, Estimating division and death rates from CFSE data,, J. Comp. and Appl. Mathematics, 184 (2005), 140.
doi: 10.1016/j.cam.2004.08.020. |
[32] |
E. K. Deenick, A. V. Gett and P. D. Hodgkin, Stochastic model of T cell proliferation: a calculus revealing IL-2 regulation of precursor frequencies, cell cycle time, and survival,, J. Immunology, 170 (2003), 4963. Google Scholar |
[33] |
Mark R Dowling, Dejan Milutinovic and Philip D Hodgkin, Modelling cell lifespan and proliferation: is likelihood to die or to divide independent of age?,, J. R. Soc. Interface, 2 (2005), 517. Google Scholar |
[34] |
K. Duffy and V. Subramanian, On the impact of correlation between collaterally consanguineous cells on lymphocyte population dynamics,, J. Math. Biol., 59 (2009), 255.
doi: 10.1007/s00285-008-0231-x. |
[35] |
D. A. Fulcher and S. W. J. Wong, Carboxyfluorescein diacetate succinimidyl ester-based assays for assessment of T cell function in the diagnostic laboratory,, Immunology and Cell Biology, 77 (1999), 559.
doi: 10.1046/j.1440-1711.1999.00870.x. |
[36] |
Vitaly V. Ganusov, Dejan Milutinovi and Rob J. De Boer, IL-2 regulates expansion of CD4+ T cell populations by affecting cell death: Insights from modeling CFSE data,, J. Immunology, 179 (2007), 950. Google Scholar |
[37] |
V. V. Ganusov, S. S. Pilyugin, R. J. De Boer, K. Murali-Krishna, R. Ahmed and R. Antia, Quantifying cell turnover using CFSE data,, J. Immunological Methods, 298 (2005), 183.
doi: 10.1016/j.jim.2005.01.011. |
[38] |
A. V. Gett and P. D. Hodgkin, A cellular calculus for signal integration by T cells,, Nature Immunology, 1 (2000), 239. Google Scholar |
[39] |
M. Kot, "Elements of Mathematical Ecology,", Cambridge University Press, (2001).
|
[40] |
M. Gyllenberg and G. F. Webb, A nonlinear structured population model of tumor growth with quiescence,, J. Math. Biol., 28 (1990), 671.
doi: 10.1007/BF00160231. |
[41] |
J. Hasenauer, D. Schittler, and F. Allgöwer, A computational model for proliferation dynamics of division- and label-structured populations,, , (2012). Google Scholar |
[42] |
E. D. Hawkins, Mirja Hommel, M. L Turner, Francis Battye, J. Markham and P. D Hodgkin, Measuring lymphocyte proliferation, survival and differentiation using CFSE time-series data,, Nature Protocols, 2 (2007), 2057. Google Scholar |
[43] |
E. D. Hawkins, J. F. Markham, L. P. McGuinness and P. D. Hodgkin, A single-cell pedigree analysis of alternative stochastic lymphocyte fates,, Proc. Natl. Acad. Sci., 106 (2009), 13457.
doi: 10.1073/pnas.0905629106. |
[44] |
Mirja Hommel and Philip D. Hodgkin, TCR affinity promotes CD8+ T-cell expansion by regulating survival,, J. Immunology, 179 (2007), 2250. Google Scholar |
[45] |
O. Hyrien and M. S. Zand, A mixture model with dependent observations for the analysis of CFSE-labeling experiments,, J. American Statistical Association, 103 (2008), 222.
doi: 10.1198/016214507000000194. |
[46] |
O. Hyrien, R. Chen and M. S. Zand, An age-dependent branching process model for the analysis of CFSE-labeling experiments,, Biology Direct, 5 (2010). Google Scholar |
[47] |
D. E. Kirschner, S. T. Chang, T. W. Riggs, N. Perry and J. J. Linderman, Toward a multiscale model of antigen presentation in immunity,, Immunological Reviews, 216 (2007), 93. Google Scholar |
[48] |
H. Y. Lee, E. D. Hawkins, M. S. Zand, T. Mosmann, H. Wu, P. D. Hodgkin and A. S. Perelson, Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and Cyton type models,, Bull. Math. Biol., 71 (2009), 1649.
doi: 10.1007/s11538-009-9418-6. |
[49] |
H. Y. Lee and A. S. Perelson, Modeling T cell proliferation and death in vitro based on labeling data: Generalizations of the Smith-Martin cell cycle model,, Bull. Math. Biol., 70 (2008), 21.
doi: 10.1007/s11538-007-9239-4. |
[50] |
K. Leon, J. Faro and J. Carneiro, A general mathematical framework to model generation structure in a population of asynchronously dividing cells,, J. Theoretical Biology, 229 (2004), 455.
doi: 10.1016/j.jtbi.2004.04.011. |
[51] |
Y. Louzoun, The evolution of mathematical immunology,, Immunological Reviews, 216 (2007), 9. Google Scholar |
[52] |
T. Luzyanina, D. Roose and G. Bocharov, Distributed parameter identification for a label-structured cell population dynamics model using CFSE histogram time-series data,, J. Math. Biol., 59 (2009), 581.
doi: 10.1007/s00285-008-0244-5. |
[53] |
T. Luzyanina, M. Mrusek, J. T. Edwards, D. Roose, S. Ehl and G. Bocharov, Computational analysis of CFSE proliferation assay,, J. Math. Biol., 54 (2007), 57.
doi: 10.1007/s00285-006-0046-6. |
[54] |
T. Luzyanina, D. Roose, T. Schenkel, M. Sester, S. Ehl, A. Meyerhans and G. Bocharov, Numerical modelling of label-structured cell population growth using CFSE distribution data,, Theoretical Biology and Medical Modelling, 4 (2007). Google Scholar |
[55] |
A. B. Lyons and C. R. Parish, Determination of lymphocyte division by flow cytometry,, J. Immunol. Methods, 171 (1994), 131.
doi: 10.1016/0022-1759(94)90236-4. |
[56] |
A. B. Lyons, J. Hasbold and P. D. Hodgkin, Flow cytometric analysis of cell division history using diluation of carboxyfluorescein diacetate succinimidyl ester, a stably integrated fluorescent probe,, Methods in Cell Biology, 63 (2001), 375.
doi: 10.1016/S0091-679X(01)63021-8. |
[57] |
G. Matera, M. Lupi and P. Ubezio, Heterogeneous cell response to topotecan in a CFSE-based proliferative test,, Cytometry A, 62 (2004), 118.
doi: 10.1002/cyto.a.20097. |
[58] |
J. A. Metz and O. Diekmann, "The Dynamics of Physiologically Structured Populations,", Springer Lecture Notes in Biomathematics, 68 (1986).
|
[59] |
H. Miao, X. Jin, A. Perelson and H. Wu, Evaluation of multitype mathemathematical modelsfor CFSE-labeling experimental data,, Bull. Math. Biol., 74 (2012), 300.
doi: 10.1007/s11538-011-9668-y. |
[60] |
Robert E. Nordon, Kap-Hyoun Ko, Ross Odell and Timm Schroeder, Multi-type branching models to describe cell differentiation programs,, J. Theoretical Biology, 277 (2011), 7.
doi: 10.1016/j.jtbi.2011.02.006. |
[61] |
R. E. Nordon, M. Nakamura, C. Ramirez and R. Odell, Analysis of growth kinetics by division tracking,, Immunology and Cell Biology, 77 (1999), 523.
doi: 10.1046/j.1440-1711.1999.00869.x. |
[62] |
C. Parish, Fluorescent dyes for lymphocyte migration and proliferation studies,, Immunology and Cell Biol., 77 (1999), 499.
doi: 10.1046/j.1440-1711.1999.00877.x. |
[63] |
Sergei S. Pilyugin, Vitaly V. Ganusov, Kaja Murali-Krishnac, Rafi Ahmed and Rustom Antia, The rescaling method for quantifying the turnover of cell populations,, J. Theoretical Biology, 225 (2003), 275.
doi: 10.1016/S0022-5193(03)00245-5. |
[64] |
B. Quah, H. Warren and C. Parish, Monitoring lymphocyte proliferation in vitro and in vivo with the intracellular fluorescent dye carboxyfluorescein diacetate succinimidyl ester,, Nature Protocols, 2 (2007), 2049. Google Scholar |
[65] |
P. Revy, M. Sospedra, B. Barbour and A. Trautmann, Functional antigen-independent synapses formed between T cells and dendritic cells,, Nature Immunology, 2 (2001), 925. Google Scholar |
[66] |
G. A. Sever and C. J. Wild, "Nonlinear Regression,", Wiley, (2003).
|
[67] |
D. Schittler, J. Hasenauer and F. Allgöwer, A generalized model for cell proliferation: Integrating division numbers and label dynamics,, Proc. Eighth International Workshop on Computational Systems Biology (WCSB 2011), (2011), 165. Google Scholar |
[68] |
J. Sinko and W. Streifer, A new model for age-size structure of a population,, Ecology, 48 (1967), 910.
doi: 10.2307/1934533. |
[69] |
V. G. Subramanian, K. R. Duffy, M. L. Turner and P. D. Hodgkin, Determining the expected variability of immune responses using the cyton model,, J. Math. Biol., 56 (2008), 861.
doi: 10.1007/s00285-007-0142-2. |
[70] |
David T. Terrano, Meenakshi Upreti and Timothy C. Chambers, Cyclin-dependent kinase 1-mediated $Bcl-x_L$/Bcl-2 phosphorylation acts as a functional link coupling mitotic arrest and apoptosis,, Mol. Cell. Biol., 30 (2010), 640.
doi: 10.1128/MCB.00882-09. |
[71] |
W. Clayton Thompson, "Partial Differential Equation Modeling of Flow Cytometry Data from CFSE-based Proliferation Assays,", Ph.D. Dissertation, (2011). Google Scholar |
[72] |
B. Tummers, DataThief III., 2006. (, (). Google Scholar |
[73] |
M. L. Turner, E. D. Hawkins and P. D. Hodgkin, Quantitative regulation of B cell division destiny by signal strength,, J. Immunology, 181 (2008), 374. Google Scholar |
[74] |
H. Veiga-Fernandez, U. Walter, C. Bourgeois, A. McLean and B. Rocha, Response of naive and memory CD8+ T cells to antigen stimulation in vivo,, Nature Immunology, 1 (2000), 47. Google Scholar |
[75] |
P. K. Wallace, J. D. Tario, Jr., J. L. Fisher, S. S. Wallace, M. S. Ernstoff and K. A. Muirhead, Tracking antigen-driven responses by flow cytometry: monitoring proliferation by dye dilution,, Cytometry A, 73 (2008), 1019. Google Scholar |
[76] |
C. Wellard, J. Markham, E. D. Hawkins and P. D. Hodgkin, The effect of correlations on the population dynamics of lymphocytes,, J. Theoretical Biology, 264 (2010), 443.
doi: 10.1016/j.jtbi.2010.02.019. |
[77] |
J. M. Witkowski, Advanced application of CFSE for cellular tracking,, Current Protocols in Cytometry, (2008), 1. Google Scholar |
[78] |
A. Yates, C. Chan, J. Strid, S. Moon, R. Callard, A. J. T. George and J. Stark, Reconstruction of cell population dynamics using CFSE,, BMC Bioinformatics, 8 (2007). Google Scholar |
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