메뉴 건너뛰기




Volumn 375, Issue , 2015, Pages 77-87

Unraveling the contribution of pancreatic beta-cell suicide in autoimmune type 1 diabetes

Author keywords

Beta cell homicide and suicide; ER stress in T1D; Mathematical model; Uncertainty and sensitivity analysis; Unfolded protein response

Indexed keywords

INSULIN;

EID: 84901084963     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2014.05.003     Document Type: Article
Times cited : (21)

References (67)
  • 3
    • 38549103628 scopus 로고    scopus 로고
    • Protein quality control in the early secretory pathway
    • Anelli T., Sitia R. Protein quality control in the early secretory pathway. EMBO J. 2008, 27:315-327.
    • (2008) EMBO J. , vol.27 , pp. 315-327
    • Anelli, T.1    Sitia, R.2
  • 5
    • 0035928391 scopus 로고    scopus 로고
    • Type 1 diabetes. new perspectives on disease pathogenesis and treatment
    • Atkinson M.A., Eisenbarth G.S. Type 1 diabetes. new perspectives on disease pathogenesis and treatment. Lancet 2001, 358(9277):221-229.
    • (2001) Lancet , vol.358 , Issue.9277 , pp. 221-229
    • Atkinson, M.A.1    Eisenbarth, G.S.2
  • 6
    • 77951776390 scopus 로고    scopus 로고
    • Genetics, pathogenesis and clinical interventions in type 1 diabetes
    • Bluestone J.A., Herold K., Eisenbarth G. Genetics, pathogenesis and clinical interventions in type 1 diabetes. Nature 2010, 464:1293-1300.
    • (2010) Nature , vol.464 , pp. 1293-1300
    • Bluestone, J.A.1    Herold, K.2    Eisenbarth, G.3
  • 7
    • 0035044242 scopus 로고    scopus 로고
    • Partial remission phase and metabolic control in type 1 diabetes mellitus in children and adolescents
    • Böber E., Dündar B., Büyükgebiz A. Partial remission phase and metabolic control in type 1 diabetes mellitus in children and adolescents. J. Pediatr. Endocrinol. Metab. 2001, 14(4):435-442.
    • (2001) J. Pediatr. Endocrinol. Metab. , vol.14 , Issue.4 , pp. 435-442
    • Böber, E.1    Dündar, B.2    Büyükgebiz, A.3
  • 8
    • 0022574058 scopus 로고
    • Lawrence lecture. Death of a beta cell. homicide or suicide?
    • Bottazzo G.F. Lawrence lecture. Death of a beta cell. homicide or suicide?. Diabet. Med. 1986, 3:119-130.
    • (1986) Diabet. Med. , vol.3 , pp. 119-130
    • Bottazzo, G.F.1
  • 9
    • 19944432792 scopus 로고    scopus 로고
    • Cytokines downregulate the sarcoendoplasmic reticulum pump Ca2+ ATPase 2b and deplete endoplasmic reticulum Ca2+, leading to induction of endoplasmic reticulum stress in pancreatic b-cells
    • Cardozo A.K., Ortis F., Storling J., Feng Y.M., Rasschaert J., et al. Cytokines downregulate the sarcoendoplasmic reticulum pump Ca2+ ATPase 2b and deplete endoplasmic reticulum Ca2+, leading to induction of endoplasmic reticulum stress in pancreatic b-cells. Diabetes 2005, 54:452-461.
    • (2005) Diabetes , vol.54 , pp. 452-461
    • Cardozo, A.K.1    Ortis, F.2    Storling, J.3    Feng, Y.M.4    Rasschaert, J.5
  • 11
    • 0027934814 scopus 로고
    • T cell repertoires and competitive exclusion
    • De Boer R.J., Perelson A.S. T cell repertoires and competitive exclusion. J. Theor. Biol. 1994, 169(4):375-390.
    • (1994) J. Theor. Biol. , vol.169 , Issue.4 , pp. 375-390
    • De Boer, R.J.1    Perelson, A.S.2
  • 12
    • 2342510386 scopus 로고    scopus 로고
    • Adult pancreatic beta-cells are formed by self-duplication rather than stem cell differentiation
    • Dor Y., Brown J., Martinez O.I., Melton D.A. Adult pancreatic beta-cells are formed by self-duplication rather than stem cell differentiation. Nature 2004, 429:41-46.
    • (2004) Nature , vol.429 , pp. 41-46
    • Dor, Y.1    Brown, J.2    Martinez, O.I.3    Melton, D.A.4
  • 13
    • 84874010654 scopus 로고    scopus 로고
    • A mathematical model of the unfolded protein stress response reveals the decision mechanism for recovery, adaptation and apoptosis
    • Erguler K., Pieri M., Deltas C. A mathematical model of the unfolded protein stress response reveals the decision mechanism for recovery, adaptation and apoptosis. BMC Syst. Biol. 2013, 7(16):1-18.
    • (2013) BMC Syst. Biol. , vol.7 , Issue.16 , pp. 1-18
    • Erguler, K.1    Pieri, M.2    Deltas, C.3
  • 14
    • 77957655499 scopus 로고    scopus 로고
    • Glucolipotoxicity age-dependently impairs beta cell function in rats despite a marked increase in beta cell mass
    • Fontés G., Zarrouki B., Hagman D.K., et al. Glucolipotoxicity age-dependently impairs beta cell function in rats despite a marked increase in beta cell mass. Diabetologia 2010, 53:2369-2379.
    • (2010) Diabetologia , vol.53 , pp. 2369-2379
    • Fontés, G.1    Zarrouki, B.2    Hagman, D.K.3
  • 16
    • 27644506636 scopus 로고    scopus 로고
    • A 3D competitive Lotka-Volterra system with three limit cycles. a falsification of a conjecture by Hofbauer and So
    • Gyllenberg M., Yan P., Wang Y. A 3D competitive Lotka-Volterra system with three limit cycles. a falsification of a conjecture by Hofbauer and So. Appl. Math. Lett. 2006, 19(1):1-7.
    • (2006) Appl. Math. Lett. , vol.19 , Issue.1 , pp. 1-7
    • Gyllenberg, M.1    Yan, P.2    Wang, Y.3
  • 18
    • 43949156327 scopus 로고
    • Multiple limit cycles for three dimensional competitive Lotka-Volterra equations
    • Hofbauer J., So J.W.H. Multiple limit cycles for three dimensional competitive Lotka-Volterra equations. Appl. Math. Lett. 1994, 7:65-70.
    • (1994) Appl. Math. Lett. , vol.7 , pp. 65-70
    • Hofbauer, J.1    So, J.W.H.2
  • 19
    • 33646401825 scopus 로고    scopus 로고
    • An immunologic homunculus for type 1 diabetes
    • Homann D., Eisenbarth G.S. An immunologic homunculus for type 1 diabetes. J. Clin. Investig. 2006, 116:1212-1215.
    • (2006) J. Clin. Investig. , vol.116 , pp. 1212-1215
    • Homann, D.1    Eisenbarth, G.S.2
  • 20
    • 0033542458 scopus 로고    scopus 로고
    • Modelling T-cell memory by genetic marking of memory T cells in vivo
    • Jacob J., Baltimore D. Modelling T-cell memory by genetic marking of memory T cells in vivo. Nature 1999, 399:593-597.
    • (1999) Nature , vol.399 , pp. 593-597
    • Jacob, J.1    Baltimore, D.2
  • 21
    • 35348993131 scopus 로고    scopus 로고
    • Size distribution of mouse Langerhans islets
    • Jo J., Choi M.Y., Koh D.S. Size distribution of mouse Langerhans islets. Biophys. J. 2007, 93:2655-2666.
    • (2007) Biophys. J. , vol.93 , pp. 2655-2666
    • Jo, J.1    Choi, M.Y.2    Koh, D.S.3
  • 22
    • 0015583054 scopus 로고
    • Inter-actions of Tetrahymena pyrisformis, Escherichia cole, Azotobacter vinelandii, and glucose in a minimal medium
    • Jost J.L., Drake J.F., Fredrickson A.G., Tsuchiya H.M. Inter-actions of Tetrahymena pyrisformis, Escherichia cole, Azotobacter vinelandii, and glucose in a minimal medium. J. Bacteriol. 1973, 113:834-840.
    • (1973) J. Bacteriol. , vol.113 , pp. 834-840
    • Jost, J.L.1    Drake, J.F.2    Fredrickson, A.G.3    Tsuchiya, H.M.4
  • 23
    • 84899421060 scopus 로고    scopus 로고
    • Predictive models of type 1 diabetes progression: understanding T-cell cycles and their implications on autoantibody release.
    • Jaberi-Douraki, M., Pietropaolo, M., Khadra, A., 2014. Predictive models of type 1 diabetes progression: understanding T-cell cycles and their implications on autoantibody release. PLoS ONE 9(4): e93326. http://dx.doi.org/10.1371/journal.pone.0093326.
    • (2014) PLoS ONE , vol.9 , Issue.4
    • Jaberi-Douraki, M.1    Pietropaolo, M.2    Khadra, A.3
  • 24
    • 33644524741 scopus 로고    scopus 로고
    • Cell-signalling dynamics in time and space
    • Kholodenko B.N. Cell-signalling dynamics in time and space. Nat. Rev. Mol. Cell Biol. 2006, 7:165-176.
    • (2006) Nat. Rev. Mol. Cell Biol. , vol.7 , pp. 165-176
    • Kholodenko, B.N.1
  • 25
    • 0036500993 scopus 로고    scopus 로고
    • Systems biology. a brief overview
    • Kitano H. Systems biology. a brief overview. Science 2002, 295:1662-1664.
    • (2002) Science , vol.295 , pp. 1662-1664
    • Kitano, H.1
  • 26
    • 79955883244 scopus 로고    scopus 로고
    • Investigating the role of T-cell avidity and killing efficacy in relation to type 1 Diabetes prediction
    • Khadra A., Pietropaolo M., Nepom G.T., Sherman A. Investigating the role of T-cell avidity and killing efficacy in relation to type 1 Diabetes prediction. PLOS One 2011, 6(5):e14796.
    • (2011) PLOS One , vol.6 , Issue.5 , pp. e14796
    • Khadra, A.1    Pietropaolo, M.2    Nepom, G.T.3    Sherman, A.4
  • 27
    • 56949090443 scopus 로고    scopus 로고
    • The role of low avidity T cells in the protection against type 1 diabetes. a modeling investigation
    • Khadra A., Santamaria P., Edelstein-Keshet L. The role of low avidity T cells in the protection against type 1 diabetes. a modeling investigation. J. Theor. Biol. 2009, 256:126-141.
    • (2009) J. Theor. Biol. , vol.256 , pp. 126-141
    • Khadra, A.1    Santamaria, P.2    Edelstein-Keshet, L.3
  • 28
    • 77954251388 scopus 로고    scopus 로고
    • The pathogenicity of selfantigen decreases at high levels of autoantigenicity. a computational approach
    • Khadra A., Santamaria P., Edelstein-Keshet L. The pathogenicity of selfantigen decreases at high levels of autoantigenicity. a computational approach. Int. Immunol. 2010, 22:571-582.
    • (2010) Int. Immunol. , vol.22 , pp. 571-582
    • Khadra, A.1    Santamaria, P.2    Edelstein-Keshet, L.3
  • 29
    • 78650661696 scopus 로고    scopus 로고
    • On how monospecific memory-like autoregulatory CD8+ T cells can blunt diabetogenic autoimmunity. a computational approach
    • Khadra A., Tsai S., Santamaria P., Edelstein-Keshet L. On how monospecific memory-like autoregulatory CD8+ T cells can blunt diabetogenic autoimmunity. a computational approach. J. Immunol. 2010, 185:5962-5972.
    • (2010) J. Immunol. , vol.185 , pp. 5962-5972
    • Khadra, A.1    Tsai, S.2    Santamaria, P.3    Edelstein-Keshet, L.4
  • 30
    • 34047271419 scopus 로고    scopus 로고
    • Modeling regulation mechanisms in the immune system
    • Kim P., Lee P., Levy D. Modeling regulation mechanisms in the immune system. J. Theor. Biol. 2007, 246:33-69.
    • (2007) J. Theor. Biol. , vol.246 , pp. 33-69
    • Kim, P.1    Lee, P.2    Levy, D.3
  • 31
    • 0033773935 scopus 로고    scopus 로고
    • Conformational disease
    • Kopito R.R., Ron D. Conformational disease. Nat. Cell Biol. 2000, 2:E207-E209.
    • (2000) Nat. Cell Biol. , vol.2 , pp. E207-E209
    • Kopito, R.R.1    Ron, D.2
  • 33
    • 35648957233 scopus 로고    scopus 로고
    • Proinsulin maturation, misfolding, and proteotoxicity.
    • Liu, M., Hodish, I., Rhodes, C.J., Arvan, P., 2007. Proinsulin maturation, misfolding, and proteotoxicity. Proc. Natl. Acad. Sci. 104, 15841-15846.
    • (2007) Proc. Natl. Acad. Sci. , vol.104 , pp. 15841-15846
    • Liu, M.1    Hodish, I.2    Rhodes, C.J.3    Arvan, P.4
  • 34
    • 0036630612 scopus 로고    scopus 로고
    • Two limit cycles in three-dimensional Lotka-Volterra systems
    • Lu Z., Luo Y. Two limit cycles in three-dimensional Lotka-Volterra systems. Comput. Math. Appl. 2002, 44(1):51-66.
    • (2002) Comput. Math. Appl. , vol.44 , Issue.1 , pp. 51-66
    • Lu, Z.1    Luo, Y.2
  • 35
    • 0141639679 scopus 로고    scopus 로고
    • Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle
    • Lu Z., Luo Y. Three limit cycles for a three-dimensional Lotka-Volterra competitive system with a heteroclinic cycle. Comput. Math. Appl. 2003, 46(2):231-238.
    • (2003) Comput. Math. Appl. , vol.46 , Issue.2 , pp. 231-238
    • Lu, Z.1    Luo, Y.2
  • 36
    • 34548267062 scopus 로고    scopus 로고
    • Modeling cyclic waves of circulating Tcells in autoimmune diabetes
    • Mahaffy J.M., Edelstein-Keshet L. Modeling cyclic waves of circulating Tcells in autoimmune diabetes. SIAM J. Appl. Math. 2007, 67:915-1937.
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 915-1937
    • Mahaffy, J.M.1    Edelstein-Keshet, L.2
  • 37
    • 35848963392 scopus 로고    scopus 로고
    • The endoplasmic reticulum in pancreatic beta cells of type 2 diabetes patients
    • Marchetti P., Bugliani M., Lupi R., et al. The endoplasmic reticulum in pancreatic beta cells of type 2 diabetes patients. Diabetologia 2007, 50:2486-2494.
    • (2007) Diabetologia , vol.50 , pp. 2486-2494
    • Marchetti, P.1    Bugliani, M.2    Lupi, R.3
  • 39
    • 45449094504 scopus 로고    scopus 로고
    • A methodology for performing global uncertainty and sensitivity analysis in systems biology
    • Marino S., Hogue I.B., Ray C.J., Kirschner D.E. A methodology for performing global uncertainty and sensitivity analysis in systems biology. J. Theor. Biol. 2008, 254(1):178-196.
    • (2008) J. Theor. Biol. , vol.254 , Issue.1 , pp. 178-196
    • Marino, S.1    Hogue, I.B.2    Ray, C.J.3    Kirschner, D.E.4
  • 40
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • May R.M., Leonard W.J. Nonlinear aspects of competition between three species. SIAM J. Appl. Math. 1975, 29(2):243-253.
    • (1975) SIAM J. Appl. Math. , vol.29 , Issue.2 , pp. 243-253
    • May, R.M.1    Leonard, W.J.2
  • 43
    • 0032750928 scopus 로고    scopus 로고
    • Fas and Fas ligand expression in inflamed islets in pancreas sections of patients with recent-onset Type I diabetes mellitus
    • Moriwaki M., Itoh N., Miyagawa J., Yamamoto K., Imagawa A., Yamagata K., et al. Fas and Fas ligand expression in inflamed islets in pancreas sections of patients with recent-onset Type I diabetes mellitus. Diabetologia 1999, 42(11):1332-1340.
    • (1999) Diabetologia , vol.42 , Issue.11 , pp. 1332-1340
    • Moriwaki, M.1    Itoh, N.2    Miyagawa, J.3    Yamamoto, K.4    Imagawa, A.5    Yamagata, K.6
  • 44
    • 77954532446 scopus 로고    scopus 로고
    • Humoral autoimmunity against the extracellular domain of the neuroendocrine autoantigen IA-2 heightens the risk of type 1 diabetes
    • Morran M.P., Casu A., Arena V.C., Pietropaolo S., Zhang Y.J., et al. Humoral autoimmunity against the extracellular domain of the neuroendocrine autoantigen IA-2 heightens the risk of type 1 diabetes. Endocrinology 2010, 151:2528-2537.
    • (2010) Endocrinology , vol.151 , pp. 2528-2537
    • Morran, M.P.1    Casu, A.2    Arena, V.C.3    Pietropaolo, S.4    Zhang, Y.J.5
  • 46
    • 0032934914 scopus 로고    scopus 로고
    • Partial remission phase of diabetes in children younger than age 10 years
    • Muhammad B.J., Swift P.G., Raymond N.T., Botha J.L. Partial remission phase of diabetes in children younger than age 10 years. Arch. Dis. Child. 1999, 80(4):367-369.
    • (1999) Arch. Dis. Child. , vol.80 , Issue.4 , pp. 367-369
    • Muhammad, B.J.1    Swift, P.G.2    Raymond, N.T.3    Botha, J.L.4
  • 47
    • 51249109921 scopus 로고    scopus 로고
    • Approaching the Heisenberg principle of immunology
    • Nepom G.T. Approaching the Heisenberg principle of immunology. Clin. Immunol. 2008, 129:1-2.
    • (2008) Clin. Immunol. , vol.129 , pp. 1-2
    • Nepom, G.T.1
  • 48
    • 84859530797 scopus 로고    scopus 로고
    • ER Stress as a trigger for β-cell dysfunction and autoimmunity in type 1 diabetes
    • O'Sullivan-Murphy B., Urano F. ER Stress as a trigger for β-cell dysfunction and autoimmunity in type 1 diabetes. Diabetes 2012, 61(4):780-781.
    • (2012) Diabetes , vol.61 , Issue.4 , pp. 780-781
    • O'Sullivan-Murphy, B.1    Urano, F.2
  • 49
    • 0036276370 scopus 로고    scopus 로고
    • The role of Fas ligand in beta cell destruction in autoimmune diabetes of NOD mice
    • Petrovsky N., Silva D., Socha L., Slattery R., Charlton B. The role of Fas ligand in beta cell destruction in autoimmune diabetes of NOD mice. Ann. N. Y. Acad. Sci. 2002, 958(1):204-208.
    • (2002) Ann. N. Y. Acad. Sci. , vol.958 , Issue.1 , pp. 204-208
    • Petrovsky, N.1    Silva, D.2    Socha, L.3    Slattery, R.4    Charlton, B.5
  • 50
    • 84884593099 scopus 로고    scopus 로고
    • Humoral autoimmunity in type 1 diabetes. prediction, significance, and detection of distinct disease subtypes
    • Pietropaolo M., Towns R., Eisenbarth G.S. Humoral autoimmunity in type 1 diabetes. prediction, significance, and detection of distinct disease subtypes. Cold Spring Harb. Perspect. Med. 2012, a012831.
    • (2012) Cold Spring Harb. Perspect. Med. , pp. a012831
    • Pietropaolo, M.1    Towns, R.2    Eisenbarth, G.S.3
  • 51
    • 0036197220 scopus 로고    scopus 로고
    • Identification of children with early onset and high incidence of anti-islet autoantibodies
    • Robles D.T., Eisenbarth G.S., Wang T., Erlich H.A., Bugawan T.L., et al. Identification of children with early onset and high incidence of anti-islet autoantibodies. Clin. Immunol. 2002, 102(3):217-224.
    • (2002) Clin. Immunol. , vol.102 , Issue.3 , pp. 217-224
    • Robles, D.T.1    Eisenbarth, G.S.2    Wang, T.3    Erlich, H.A.4    Bugawan, T.L.5
  • 53
    • 0039829851 scopus 로고
    • Glucose stimulates proinsulin biosynthesis by a dose-dependent recruitment of pacreatic beta-cells
    • Schuit, F.C., Tveld, P.A.I., Pipeleers, D.G., 1988. Glucose stimulates proinsulin biosynthesis by a dose-dependent recruitment of pacreatic beta-cells. Proc. Natl. Acad. Sci USA 85, 3865-3869.
    • (1988) Proc. Natl. Acad. Sci USA , vol.85 , pp. 3865-3869
    • Schuit, F.C.1    Tveld, P.A.I.2    Pipeleers, D.G.3
  • 54
    • 66749130213 scopus 로고    scopus 로고
    • A model of the unfolded protein response. pancreatic β-cell as a case study
    • Schnell S. A model of the unfolded protein response. pancreatic β-cell as a case study. Cell. Physiol. Biochem. 2009, 23(4-6):233-244.
    • (2009) Cell. Physiol. Biochem. , vol.23 , Issue.4-6 , pp. 233-244
    • Schnell, S.1
  • 55
    • 33847626655 scopus 로고    scopus 로고
    • Multiscale modeling in biology
    • Schnell S., Grima R., Maini P.K. Multiscale modeling in biology. Am. Sci. 2007, 95:134-142.
    • (2007) Am. Sci. , vol.95 , pp. 134-142
    • Schnell, S.1    Grima, R.2    Maini, P.K.3
  • 56
    • 55849116389 scopus 로고    scopus 로고
    • CTLs are targeted to kill β cells in patients with type 1 diabetes through recognition of a glucose-regulated preproinsulin epitope
    • Skowera A., Ellis R.J., Varela-Calviño R., Arif S., Huang G.C., et al. CTLs are targeted to kill β cells in patients with type 1 diabetes through recognition of a glucose-regulated preproinsulin epitope. J. Clin. Investig. 2008, 118:3390-3402.
    • (2008) J. Clin. Investig. , vol.118 , pp. 3390-3402
    • Skowera, A.1    Ellis, R.J.2    Varela-Calviño, R.3    Arif, S.4    Huang, G.C.5
  • 58
    • 84878532315 scopus 로고    scopus 로고
    • Quantifying the importance of pMHC valency, total pMHC dose and frequency on nanoparticle therapeutic efficacy
    • Sugarman J., Tsai S., Santamaria P., Khadra A. Quantifying the importance of pMHC valency, total pMHC dose and frequency on nanoparticle therapeutic efficacy. Immunol. Cell Biol. 2013, 91:350-359.
    • (2013) Immunol. Cell Biol. , vol.91 , pp. 350-359
    • Sugarman, J.1    Tsai, S.2    Santamaria, P.3    Khadra, A.4
  • 59
    • 0032055459 scopus 로고    scopus 로고
    • Effect of intensive therapy on residual beta-cell function in patients with type 1 diabetes in the diabetes control and complications trial. A randomized, controlled trial
    • The Diabetes Control and Complications Trial Research Group
    • Effect of intensive therapy on residual beta-cell function in patients with type 1 diabetes in the diabetes control and complications trial. A randomized, controlled trial. Ann. Intern. Med. 1998, 128:517-523. The Diabetes Control and Complications Trial Research Group.
    • (1998) Ann. Intern. Med. , vol.128 , pp. 517-523
  • 60
    • 0029037210 scopus 로고
    • Serial triggering of many T-cell receptors by a few peptide-MHC complexes
    • Valitutti S., Müller S., Cella M., Padovan E., Lanzavecchia A. Serial triggering of many T-cell receptors by a few peptide-MHC complexes. Nature 1995, 375:148-151.
    • (1995) Nature , vol.375 , pp. 148-151
    • Valitutti, S.1    Müller, S.2    Cella, M.3    Padovan, E.4    Lanzavecchia, A.5
  • 62
    • 0030057218 scopus 로고    scopus 로고
    • T cell activation determined by T cell receptor number and tunable thresholds
    • Viola A., Lanzavecchia A. T cell activation determined by T cell receptor number and tunable thresholds. Science 1996, 273:104-106.
    • (1996) Science , vol.273 , pp. 104-106
    • Viola, A.1    Lanzavecchia, A.2
  • 63
    • 36448978896 scopus 로고    scopus 로고
    • Type 1 diabetes as a relapsing-remitting disease?
    • von Herrath M., Sanda S., Herold K. Type 1 diabetes as a relapsing-remitting disease?. Nat. Rev. Immunol. 2007, 7:988-994.
    • (2007) Nat. Rev. Immunol. , vol.7 , pp. 988-994
    • von Herrath, M.1    Sanda, S.2    Herold, K.3
  • 64
    • 79956137848 scopus 로고    scopus 로고
    • Limit cycles and singular point quantities for a 3D Lotka-Volterra system
    • Wang Q., Huang W., Li B.L. Limit cycles and singular point quantities for a 3D Lotka-Volterra system. Appl. Math. Comput. 2011, 217(21):8856-8859.
    • (2011) Appl. Math. Comput. , vol.217 , Issue.21 , pp. 8856-8859
    • Wang, Q.1    Huang, W.2    Li, B.L.3
  • 65
    • 0031437624 scopus 로고    scopus 로고
    • Following the fate of individual T cells throughout activation and clonal expansion. signals from T cell receptor and CD28 differentially regulate the induction and duration of a proliferative response
    • Wells A.D., Gudmundsdottir H., Turka L.A. Following the fate of individual T cells throughout activation and clonal expansion. signals from T cell receptor and CD28 differentially regulate the induction and duration of a proliferative response. J. Clin. Investig. 1997, 100:3173-3183.
    • (1997) J. Clin. Investig. , vol.100 , pp. 3173-3183
    • Wells, A.D.1    Gudmundsdottir, H.2    Turka, L.A.3
  • 66
    • 0027796995 scopus 로고
    • Hopf bifurcations in competitive three dimensional Lotka-Volterra systems
    • Zeeman M.L. Hopf bifurcations in competitive three dimensional Lotka-Volterra systems. Dyn. Stab. Syst. 1993, 8:189-217.
    • (1993) Dyn. Stab. Syst. , vol.8 , pp. 189-217
    • Zeeman, M.L.1
  • 67
    • 0032000798 scopus 로고    scopus 로고
    • Three-Dimensional Competitive Lotka-Volterra Systems with no Periodic Orbits
    • Zeeman M.L., van den Driessche P. Three-Dimensional Competitive Lotka-Volterra Systems with no Periodic Orbits. SIAM J. Appl. Math. 1998, 58(1):227-234.
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.1 , pp. 227-234
    • Zeeman, M.L.1    van den Driessche, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.