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Volumn 71, Issue 6, 2011, Pages 1918-1940

A structured population model of cell differentiation

Author keywords

Cell differentiation; Stability analysis; Stem cells; Structured population dynamics; Transport equation

Indexed keywords

CELL DIFFERENTIATION; CELL SUBPOPULATIONS; CONTINUOUS MODELS; CONTINUOUS PROCESS; CYTOKINES; HEMATOPOIETIC SYSTEMS; LINEARIZED STABILITY; NEW MODEL; PROGENITOR CELL; QUALITATIVE BEHAVIOR; SIGNALING PROCESS; STABILITY ANALYSIS; STEADY STATE SOLUTION; STRUCTURED POPULATION; STRUCTURED POPULATION DYNAMICS; STRUCTURED POPULATION MODELS; TRANSPORT EQUATION;

EID: 84455175304     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/100816584     Document Type: Article
Times cited : (61)

References (28)
  • 1
    • 15744401788 scopus 로고    scopus 로고
    • On the stability of a nonlinear maturity structured model of cellular proliferation
    • M. ADIMY, F. CRAUSTE, AND L. PUJO-MENJOUET, On the stability of a nonlinear maturity structured model of cellular proliferation, Discrete Contin. Dyn. Syst., 12(2005), pp. 501-522. (Pubitemid 40419365)
    • (2005) Discrete and Continuous Dynamical Systems , vol.12 , Issue.3 , pp. 501-522
    • Adimy, M.1    Crauste, F.2    Pujo-Menjouet, L.3
  • 2
    • 24344475745 scopus 로고    scopus 로고
    • A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia
    • DOI 10.1137/040604698
    • M. ADIMY, F. CRAUSTE, AND S. RUAN, A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia, SIAM J. Appl. Math., 65(2005), pp. 1328-1352. (Pubitemid 41343748)
    • (2005) SIAM Journal on Applied Mathematics , vol.65 , Issue.4 , pp. 1328-1352
    • Adimy, M.1    Crauste, F.2    Ruan, S.3
  • 3
    • 5444256238 scopus 로고    scopus 로고
    • Self-renewal and solid tumor stem cells
    • DOI 10.1038/sj.onc.1207947
    • M. AL-HAJJ AND M. F. CLARKE, Self-renewal and solid tumor stem cells, Oncogene, 23(2004), pp. 7274-7282. (Pubitemid 39382161)
    • (2004) Oncogene , vol.23 , Issue.43 REV. ISS. 6 , pp. 7274-7282
    • Al-Hajj, M.1    Clarke, M.F.2
  • 4
    • 9244221172 scopus 로고    scopus 로고
    • Tissue repair and stem cell renewal in carcinogenesis
    • DOI 10.1038/nature03100
    • P. A. BEACHY, S. S. KARHADKAR, AND D. M. BERMAN, Tissue repair and stem cell renewal in carcinogenesis, Nature, 432(2004), pp. 324-331. (Pubitemid 39551660)
    • (2004) Nature , vol.432 , Issue.7015 , pp. 324-331
    • Beachy, P.A.1    Karhadkar, S.S.2    Berman, D.M.3
  • 5
    • 26044443571 scopus 로고    scopus 로고
    • A mathematical model of hematopoiesis - I. Periodic chronic myelogenous leukemia
    • DOI 10.1016/j.jtbi.2005.03.033, PII S0022519305001542
    • C. COLIJN AND M. C. MACKEY, A mathematical model of hematopoiesis I. Periodic chronic myelogenous leukemia, J. Theoret. Biol., 237(2005), pp. 117-132. (Pubitemid 41406400)
    • (2005) Journal of Theoretical Biology , vol.237 , Issue.2 , pp. 117-132
    • Colijn, C.1    Mackey, M.C.2
  • 6
    • 0036588843 scopus 로고    scopus 로고
    • The Beker-Döring system and its Lifshitz-Slyozov limit
    • DOI 10.1137/S0036139900378852, PII S0036139900378852
    • J.-F. COLLET, T. GOUDON, F. POUPAUD, AND A. VASSEUR, The Beker-Döring system and its Lifshitz-Slyozov limit, SIAM J. Appl. Math., 62(2002), pp. 1488-1500. (Pubitemid 35298522)
    • (2002) SIAM Journal on Applied Mathematics , vol.62 , Issue.5 , pp. 1488-1500
    • Collet, J.-F.1    Goudon, T.2    Poupaud, F.3    Vasseur, A.4
  • 7
    • 0003276341 scopus 로고
    • Delay equations. Functional, complex, and nonlinear analysis
    • Springer-Verlag, New York
    • O. DIEKMANN, S. A. VAN GILS, S. M. VERDUYN LUNEL, AND H.-O. WALTHER, Delay Equations. Functional, Complex, and Nonlinear Analysis, Appl. Math. Sci. 110, Springer-Verlag, New York, 1995.
    • (1995) Appl. Math. Sci. , vol.110
    • Diekmann, O.1    Van Gils, S.A.2    Verduyn Lunel, S.M.3    Walther, H.-O.4
  • 9
    • 77953934427 scopus 로고    scopus 로고
    • Scaling limit of a discrete prion dynamics model
    • M. DOUMIC, T. GOUDON, AND T. LEPOUTRE, Scaling limit of a discrete prion dynamics model, Commun. Math. Sci., 7(2009), pp. 839-865.
    • (2009) Commun. Math. Sci. , vol.7 , pp. 839-865
    • Doumic, M.1    Goudon, T.2    Lepoutre, T.3
  • 10
    • 77957361064 scopus 로고    scopus 로고
    • Stability analysis of a simplified yet complete model for chronic myelogenous leukemia
    • M. DOUMIC-JAUFFRET, P. S. KIM, AND B. PERTHAME, Stability analysis of a simplified yet complete model for chronic myelogenous leukemia, Bull. Math. Biol., 72(2010), pp. 1732-1759.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 1732-1759
    • Doumic-Jauffret, M.1    Kim, P.S.2    Perthame, B.3
  • 12
    • 3242754448 scopus 로고    scopus 로고
    • Acute myeloid leukemia originates from a hierarchy of leukemic stem cell classes that differ in self-renewal capacity
    • DOI 10.1038/ni1080
    • K. J. HOPE, L. JIN, AND J. E. DICK, Acute myeloid leukemia originates from a hierarchy of leukemic stem cell classes that differ in self-renewal capacity, Nature Immunol., 5(2004), pp. 738-743. (Pubitemid 39023306)
    • (2004) Nature Immunology , vol.5 , Issue.7 , pp. 738-743
    • Hope, K.J.1    Jin, L.2    Dick, J.E.3
  • 13
    • 0034503787 scopus 로고    scopus 로고
    • Weighted ENO schemes for Hamilton-Jacobi equations
    • DOI 10.1137/S106482759732455X
    • G.-S. JIANG AND D. PENG, Weighted ENO schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput., 21(2000), pp. 2126-2143. (Pubitemid 32076060)
    • (2000) SIAM Journal of Scientific Computing , vol.21 , Issue.6 , pp. 2126-2143
    • Jiang, G.-S.1    Peng, D.2
  • 14
    • 79953677808 scopus 로고    scopus 로고
    • Hopf bifurcation for non-densely defined Cauchy problems
    • Z. LIU, P. MAGAL, AND S. RUAN, Hopf bifurcation for non-densely defined Cauchy problems, Z. Angew. Math. Phys., 62(2011), pp. 191-222.
    • (2011) Z. Angew. Math. Phys. , vol.62 , pp. 191-222
    • Liu, Z.1    Magal, P.2    Ruan, S.3
  • 15
    • 0003116213 scopus 로고    scopus 로고
    • Biology of the haemopoietic stem cell
    • C. S. Potten, ed., Academic Press, New York
    • B. I. LORD, Biology of the haemopoietic stem cell, in Stem Cells, C. S. Potten, ed., Academic Press, New York, 1997, pp. 401-422.
    • (1997) Stem Cells , pp. 401-422
    • Lord, B.I.1
  • 16
    • 0029025412 scopus 로고
    • Age-structured and two-delay models for erythropoiesis
    • M. C. MACKEY AND J. M. MAHAFFY, Age-structured and two-delay models for erythropoiesis, Math. Biosci., 128(1995), pp. 317-346.
    • (1995) Math. Biosci. , vol.128 , pp. 317-346
    • Mackey, M.C.1    Mahaffy, J.M.2
  • 17
    • 73349113593 scopus 로고    scopus 로고
    • Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
    • P. MAGAL AND S. RUAN, Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models, Mem. Amer. Math. Soc., 202(951) (2009).
    • (2009) Mem. Amer. Math. Soc. , vol.202 , Issue.951
    • Magal, P.1    Ruan, S.2
  • 18
    • 84855476488 scopus 로고    scopus 로고
    • Mathematical models of hematopoietic reconstitution after stem cell transplantation
    • H. G. Bock, T. Carraro, W. Jaeger, S. Koerkel, R. Rannacher, and J. P. Schloeder, eds., Springer-Verlag, New York, to appear
    • A. MARCINIAK-CZOCHRA AND T. STIEHL, Mathematical models of hematopoietic reconstitution after stem cell transplantation, in Model Based Parameter Estimation: Theory and Applications, H. G. Bock, T. Carraro, W. Jaeger, S. Koerkel, R. Rannacher, and J. P. Schloeder, eds., Springer-Verlag, New York, 2011, to appear.
    • (2011) Model Based Parameter Estimation: Theory and Applications
    • Marciniak-Czochra, A.1    Stiehl, T.2
  • 19
    • 65349119367 scopus 로고    scopus 로고
    • Modeling of asymmetric cell division in hematopoietic stem cells: Regulation of self-renewal is essential for efficient repopulation
    • A. MARCINIAK-CZOCHRA, T. STIEHL, A. D. HO, W. JAEGER, AND W. WAGNER, Modeling of asymmetric cell division in hematopoietic stem cells: Regulation of self-renewal is essential for efficient repopulation, Stem Cells Dev., 18(2009), pp. 377-386.
    • (2009) Stem Cells Dev. , vol.18 , pp. 377-386
    • Marciniak-Czochra, A.1    Stiehl, T.2    Ho, A.D.3    Jaeger, W.4    Wagner, W.5
  • 20
    • 33645469482 scopus 로고    scopus 로고
    • Stem cells and their niches
    • K. A. MOORE AND I. R. LEMISCHKA, Stem cells and their niches, Science, 311(2006), pp. 1880-1885.
    • (2006) Science , vol.311 , pp. 1880-1885
    • Moore, K.A.1    Lemischka, I.R.2
  • 21
    • 33745600820 scopus 로고    scopus 로고
    • Asymmetric and symmetric stem-cell divisions in development and cancer
    • DOI 10.1038/nature04956, PII N04956
    • S. J. MORRISON AND J. KIMBLE, Asymmetric and symmetric stem-cell divisions in development and cancer, Nature, 441(2006), pp. 1068-1074. (Pubitemid 43990718)
    • (2006) Nature , vol.441 , Issue.7097 , pp. 1068-1074
    • Morrison, S.J.1    Kimble, J.2
  • 22
    • 84860827166 scopus 로고    scopus 로고
    • Stability analysis of multi-compartment models for cell production systems
    • to appear
    • Y. NAKATA, PH. GETTO, A. MARCINIAK-CZOCHRA, AND T. ALARCON, Stability analysis of multi-compartment models for cell production systems, J. Biol. Dyn., to appear.
    • J. Biol. Dyn.
    • Nakata, Y.1    Getto, Ph.2    Marciniak-Czochra, A.3    Alarcon, T.4
  • 23
    • 0035499267 scopus 로고    scopus 로고
    • Stem cells, cancer, and cancer stem cells
    • DOI 10.1038/35102167
    • T. REYA, S. J. MORRISON, M. F. CLARKE, AND I. L. WEISSMAN, Stem cells, cancer, and cancer stem cells, Nature, 414(2001), pp. 105-111. (Pubitemid 33041634)
    • (2001) Nature , vol.414 , Issue.6859 , pp. 105-111
    • Reya, T.1    Morrison, S.J.2    Clarke, M.F.3    Weissman, I.L.4
  • 24
    • 35948966917 scopus 로고    scopus 로고
    • Asymmetric cell division in normal and malignant hematopoietic precursor cells
    • DOI 10.1016/j.stem.2007.10.016, PII S1934590907002330
    • T. SCHROEDER, Asymmetric cell division in normal and malignant hematopoietic precursor cel ls, Cell Stem Cell, 1(2007), pp. 479-481. (Pubitemid 350063726)
    • (2007) Cell Stem Cell , vol.1 , Issue.5 , pp. 479-481
    • Schroeder, T.1
  • 25
    • 0000034725 scopus 로고    scopus 로고
    • Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
    • Springer, Berlin
    • C.-W. SHU, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Springer, Berlin, 1998, pp. 325-432.
    • (1998) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , pp. 325-432
    • Shu, C.-W.1
  • 27
    • 79951576421 scopus 로고    scopus 로고
    • Characterization of stem cells using mathematical models of multistage cell lineages
    • T. STIEHL AND A. MARCINIAK-CZOCHRA, Characterization of stem cells using mathematical models of multistage cell lineages, Math. Comput. Modelling, 53(2011), pp. 1505-1517.
    • (2011) Math. Comput. Modelling , vol.53 , pp. 1505-1517
    • Stiehl, T.1    Marciniak-Czochra, A.2


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