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Volumn 7, Issue 3, 2010, Pages

Using Jensen's inequality to explain the role of regular calcium oscillations in protein activation

Author keywords

[No Author keywords available]

Indexed keywords

CALCIUM; CALCIUM BINDING PROTEIN; RAS PROTEIN; TRANSCRIPTION FACTOR NFAT;

EID: 78349266831     PISSN: 14783967     EISSN: 14783975     Source Type: Journal    
DOI: 10.1088/1478-3975/7/3/036009     Document Type: Article
Times cited : (8)

References (72)
  • 1
    • 0022575044 scopus 로고
    • Repetitive transient rises in cytoplasmic free calcium in hormone-stimulated hepatocytes
    • Woods N M, Cuthbertson K S and Cobbold P H 1986 Repetitive transient rises in cytoplasmic free calcium in hormone-stimulated hepatocytes Nature 319 600-2
    • (1986) Nature , vol.319 , pp. 600-602
    • Woods, N.M.1    Cuthbertson, K.S.2    Cobbold, P.H.3
  • 2
    • 0024397869 scopus 로고
    • Characterization of cytosolic calcium oscillations induced by phenylephrine and vasopressin in single fura-2-loaded hepatocytes
    • Rooney T A, Sass E J and Thomas A P 1989 Characterization of cytosolic calcium oscillations induced by phenylephrine and vasopressin in single fura-2-loaded hepatocytes J. Biol. Chem. 264 17131-41
    • (1989) J. Biol. Chem. , vol.264 , pp. 17131-17141
    • Rooney, T.A.1    Sass, E.J.2    Thomas, A.P.3
  • 7
    • 0034695028 scopus 로고    scopus 로고
    • Hierarchical organization of calcium signals in hepatocytes: From experiments to models
    • Dupont G, Swillens S, Clair C, Tordjmann T and Combettes L 2000 Hierarchical organization of calcium signals in hepatocytes: from experiments to models Biochim. Biophys. Acta. 1498 134-52
    • (2000) Biochim. Biophys. Acta , vol.1498 , pp. 134-152
    • Dupont, G.1    Swillens, S.2    Clair, C.3    Tordjmann, T.4    Combettes, L.5
  • 8
    • 0036125304 scopus 로고    scopus 로고
    • Modelling of simple and complex calcium oscillations: From single-cell responses to intercellular signalling
    • Schuster S, Marhl M and Höfer T 2002 Modelling of simple and complex calcium oscillations: from single-cell responses to intercellular signalling Eur. J. Biochem. 269 1333-55
    • (2002) Eur. J. Biochem. , vol.269 , pp. 1333-1355
    • Schuster, S.1    Marhl, M.2    Höfer, T.3
  • 9
    • 3142773575 scopus 로고    scopus 로고
    • Reading the patterns in living cells-the physics of Ca2+ signaling
    • Falcke M 2004 Reading the patterns in living cells-the physics of Ca 2+ signaling Adv. Phys. 53 255-440
    • (2004) Adv. Phys. , vol.53 , pp. 255-440
    • Falcke, M.1
  • 10
    • 34249823358 scopus 로고    scopus 로고
    • Calcium dynamics: Spatio-temporal organization from the subcellular to the organ level
    • Dupont G, Combettes L and Leybaert L 2007 Calcium dynamics: spatio-temporal organization from the subcellular to the organ level Int. Rev. Cytol. 261 193-245
    • (2007) Int. Rev. Cytol. , vol.261 , pp. 193-245
    • Dupont, G.1    Combettes, L.2    Leybaert, L.3
  • 11
    • 70349633992 scopus 로고    scopus 로고
    • Introduction to focus issue: Intracellular Ca2+ dynamics-a change of modeling paradigm?
    • Falcke M 2009 Introduction to focus issue: intracellular Ca2+ dynamics-a change of modeling paradigm? Chaos 19 037101
    • (2009) Chaos , vol.19 , pp. 037101
    • Falcke, M.1
  • 12
    • 0025283839 scopus 로고
    • Calcium oscillations in electrically non-excitable cells
    • Jacob R 1990 Calcium oscillations in electrically non-excitable cells Biochim. Biophys. Acta. 1052 427-38
    • (1990) Biochim. Biophys. Acta , vol.1052 , pp. 427-438
    • Jacob, R.1
  • 14
    • 0032498210 scopus 로고    scopus 로고
    • Calcium signaling: Up, down, up, down... what's the point?
    • Putney J W 1998 Calcium signaling: up, down, up, down... what's the point? Science 279 191-2
    • (1998) Science , vol.279 , pp. 191-192
    • Putney, J.W.1
  • 15
    • 0034700415 scopus 로고    scopus 로고
    • Activation of the liver glycogen phosphorylase by Ca2+ oscillations: A theoretical study
    • Gall D, Baus E and Dupont G 2000 Activation of the liver glycogen phosphorylase by Ca2+ oscillations: a theoretical study J. Theor. Biol. 207 445-54
    • (2000) J. Theor. Biol. , vol.207 , pp. 445-454
    • Gall, D.1    Baus, E.2    Dupont, G.3
  • 16
    • 38049070245 scopus 로고    scopus 로고
    • Equality of average and steady-state levels in some nonlinear models of biological oscillations
    • Knoke B, Marhl M, Perc M and Schuster S 2008 Equality of average and steady-state levels in some nonlinear models of biological oscillations Theory Biosci. 127 1-14
    • (2008) Theory Biosci. , vol.127 , pp. 1-14
    • Knoke, B.1    Marhl, M.2    Perc, M.3    Schuster, S.4
  • 17
    • 0030950849 scopus 로고    scopus 로고
    • Elementary and global aspects of calcium signalling
    • Berridge M J 1997 Elementary and global aspects of calcium signalling J. Exp. Biol. 200 315-9
    • (1997) J. Exp. Biol. , vol.200 , pp. 315-319
    • Berridge, M.J.1
  • 18
    • 0032531818 scopus 로고    scopus 로고
    • Calcium-a life and death signal
    • Berridge M J, Bootman M D and Lipp P 1998 Calcium-a life and death signal Nature 395 645-8
    • (1998) Nature , vol.395 , pp. 645-648
    • Berridge, M.J.1    Bootman, M.D.2    Lipp, P.3
  • 19
    • 77953620546 scopus 로고    scopus 로고
    • Jensen's inequality as a tool for explaining the effect of oscillations on the average cytosolic calcium concentration
    • Knoke B, Bodenstein C, Marhl M, Perc M and Schuster S 2010 Jensen's inequality as a tool for explaining the effect of oscillations on the average cytosolic calcium concentration Theory Biosci. 129 25-38
    • (2010) Theory Biosci. , vol.129 , pp. 25-38
    • Knoke, B.1    Bodenstein, C.2    Marhl, M.3    Perc, M.4    Schuster, S.5
  • 20
    • 0033864485 scopus 로고    scopus 로고
    • Protein kinase C isoenzymes: A review of their structure, regulation and role in regulating airways smooth muscle tone and mitogenesis
    • Webb B L, Hirst S J and Giembycz M A 2000 Protein kinase C isoenzymes: a review of their structure, regulation and role in regulating airways smooth muscle tone and mitogenesis Br. J. Pharmacol. 130 1433-52
    • (2000) Br. J. Pharmacol. , vol.130 , pp. 1433-1452
    • Webb, B.L.1    Hirst, S.J.2    Giembycz, M.A.3
  • 21
    • 0032577483 scopus 로고    scopus 로고
    • Regulation of the calmodulin-stimulated protein phosphatase, calcineurin
    • Klee C B, Ren H and Wang X 1998 Regulation of the calmodulin-stimulated protein phosphatase, calcineurin J. Biol. Chem. 273 13367-70
    • (1998) J. Biol. Chem. , vol.273 , pp. 13367-13370
    • Klee, C.B.1    Ren, H.2    Wang, X.3
  • 23
    • 1542344969 scopus 로고    scopus 로고
    • Targeting of calcium/calmodulindependent protein kinase II
    • Colbran R J 2004 Targeting of calcium/calmodulindependent protein kinase II Biochem. J. 378 1-16
    • (2004) Biochem. J. , vol.378 , pp. 1-16
    • Colbran, R.J.1
  • 24
    • 0027770851 scopus 로고
    • Phosphorylation of myosin light chain kinase: A cellular mechanism for Ca2+ desensitization
    • Stull J T, Tansey M G, Tang D C, Word R A and Kamm K E 1993 Phosphorylation of myosin light chain kinase: a cellular mechanism for Ca 2+ desensitization Mol. Cell. Biochem. 127 229-37
    • (1993) Mol. Cell. Biochem. , vol.127 , pp. 229-237
    • Stull, J.T.1    Tansey, M.G.2    Tang, D.C.3    Word, R.A.4    Kamm, K.E.5
  • 25
    • 0033567657 scopus 로고    scopus 로고
    • Phosphorylase kinase: The complexity of its regulation is reflected in the complexity of its structure
    • Brushia R J and Walsh D A 1999 Phosphorylase kinase: the complexity of its regulation is reflected in the complexity of its structure Front Biosci. 4 D618-41
    • (1999) Front Biosci. , vol.4
    • Brushia, R.J.1    Walsh, D.A.2
  • 26
    • 0032498172 scopus 로고    scopus 로고
    • Sensitivity of CaM kinase II to the frequency of Ca2+ oscillations
    • Koninck P De and Schulman H 1998 Sensitivity of CaM kinase II to the frequency of Ca2+ oscillations Science 279 227-30
    • (1998) Science , vol.279 , pp. 227-230
    • De Koninck, P.1    Schulman, H.2
  • 27
    • 0344739838 scopus 로고    scopus 로고
    • Sensitivity of CaM kinase II to the frequency of Ca2+ oscillations: A simple model
    • Dupont G, Houart G and Koninck P De 2003 Sensitivity of CaM kinase II to the frequency of Ca2+ oscillations: a simple model Cell Calcium 34 485-97
    • (2003) Cell. Calcium , vol.34 , pp. 485-497
    • Dupont, G.1    Houart, G.2    De Koninck, P.3
  • 28
    • 19644376385 scopus 로고    scopus 로고
    • The frequencies of calcium oscillations are optimized for efficient calcium-mediated activation of Ras and the ERK/MAPK cascade
    • Kupzig S, Walker S A and Cullen P J 2005 The frequencies of calcium oscillations are optimized for efficient calcium-mediated activation of Ras and the ERK/MAPK cascade Proc. Natl Acad. Sci. USA 102 7577-82
    • (2005) Proc. Natl. Acad. Sci. USA , vol.102 , pp. 7577-7582
    • Kupzig, S.1    Walker, S.A.2    Cullen, P.J.3
  • 29
    • 0025138491 scopus 로고
    • Minimal model for signal-induced Ca2+ oscillations and for their frequency encoding through protein phosphorylation
    • Goldbeter A, Dupont G and Berridge M J 1990 Minimal model for signal-induced Ca2+ oscillations and for their frequency encoding through protein phosphorylation Proc. Natl Acad. Sci. USA 87 1461-5
    • (1990) Proc. Natl. Acad. Sci. USA , vol.87 , pp. 1461-1465
    • Goldbeter, A.1    Dupont, G.2    Berridge, M.J.3
  • 30
    • 0026523113 scopus 로고
    • Protein phosphorylation driven by intracellular calcium oscillations: A kinetic analysis
    • Dupont G and Goldbeter A 1992 Protein phosphorylation driven by intracellular calcium oscillations: a kinetic analysis Biophys. Chem. 42 257-70
    • (1992) Biophys. Chem. , vol.42 , pp. 257-270
    • Dupont, G.1    Goldbeter, A.2
  • 31
    • 0028916897 scopus 로고
    • A class of parametrically excited calcium oscillation detectors
    • Izu L T and Spangler R A 1995 A class of parametrically excited calcium oscillation detectors Biophys. J. 68 1621-9
    • (1995) Biophys. J. , vol.68 , pp. 1621-1629
    • Izu, L.T.1    Spangler, R.A.2
  • 32
    • 26844491373 scopus 로고    scopus 로고
    • Selective regulation of cellular processes via protein cascades acting as band-pass filters for time-limited oscillations
    • Marhl M, Perc M and Schuster S 2005 Selective regulation of cellular processes via protein cascades acting as band-pass filters for time-limited oscillations FEBS Lett. 579 5461-5
    • (2005) FEBS Lett. , vol.579 , pp. 5461-5465
    • Marhl, M.1    Perc, M.2    Schuster, S.3
  • 33
    • 38949098235 scopus 로고    scopus 로고
    • Decoding of calcium oscillations by phosphorylation cycles: Analytic results
    • Salazar C, Politi A Z and Höfer T 2008 Decoding of calcium oscillations by phosphorylation cycles: analytic results Biophys. J. 94 1203-15
    • (2008) Biophys. J. , vol.94 , pp. 1203-1215
    • Salazar, C.1    Politi, A.Z.2    Höfer, T.3
  • 34
    • 0141750574 scopus 로고    scopus 로고
    • A theoretical study of effects of cytosolic Ca2+ oscillations on activation of glycogen phosphorylase
    • Rozi A and Jia Y 2003 A theoretical study of effects of cytosolic Ca 2+ oscillations on activation of glycogen phosphorylase Biophys. Chem. 106 193-202
    • (2003) Biophys. Chem. , vol.106 , pp. 193-202
    • Rozi, A.1    Jia, Y.2
  • 35
    • 1042290530 scopus 로고    scopus 로고
    • On the encoding and decoding of calcium signals in hepatocytes
    • Larsen A Z, Olsen L F and Kummer U 2004 On the encoding and decoding of calcium signals in hepatocytes Biophys. Chem. 107 83-99
    • (2004) Biophys. Chem. , vol.107 , pp. 83-99
    • Larsen, A.Z.1    Olsen, L.F.2    Kummer, U.3
  • 36
    • 67650122031 scopus 로고    scopus 로고
    • Information propagation from IP3 to target protein: A combined model for encoding and decoding of Ca2+ signal
    • Zhao Q, Yi M, Xia K and Zhan M 2009 Information propagation from IP 3 to target protein: a combined model for encoding and decoding of Ca2+ signal Physica A 388 4105-14
    • (2009) Physica A , vol.388 , pp. 4105-4114
    • Zhao, Q.1    Yi, M.2    Xia, K.3    Zhan, M.4
  • 37
    • 0032580202 scopus 로고    scopus 로고
    • Calcium oscillations increase the efficiency and specificity of gene expression
    • Dolmetsch R E, Xu K and Lewis R S 1998 Calcium oscillations increase the efficiency and specificity of gene expression Nature 392 933-6
    • (1998) Nature , vol.392 , pp. 933-936
    • Dolmetsch, R.E.1    Xu, K.2    Lewis, R.S.3
  • 38
    • 0032580157 scopus 로고    scopus 로고
    • Cell-permeant caged InsP3 ester shows that Ca2+ spike frequency can optimize gene expression
    • Li W, Llopis J, Whitney M, Zlokarnik G and Tsien R Y 1998 Cell-permeant caged InsP3 ester shows that Ca2+ spike frequency can optimize gene expression Nature 392 936-41
    • (1998) Nature , vol.392 , pp. 936-941
    • Li, W.1    Llopis, J.2    Whitney, M.3    Zlokarnik, G.4    Tsien, R.Y.5
  • 39
    • 0042525949 scopus 로고    scopus 로고
    • NFAT functions as a working memory of Ca2+ signals in decoding Ca2+ oscillation
    • Tomida T, Hirose K, Takizawa A, Shibasaki F and Iino M 2003 NFAT functions as a working memory of Ca2+ signals in decoding Ca 2+ oscillation EMBO J. 22 3825-32
    • (2003) EMBO J. , vol.22 , pp. 3825-3832
    • Tomida, T.1    Hirose, K.2    Takizawa, A.3    Shibasaki, F.4    Iino, M.5
  • 40
    • 0019497941 scopus 로고
    • Frequency encoded biochemical regulation is more accurate than amplitude dependent control
    • Rapp P E, Mees A I and Sparrow C T 1981 Frequency encoded biochemical regulation is more accurate than amplitude dependent control J. Theor. Biol. 90 531-44
    • (1981) J. Theor. Biol. , vol.90 , pp. 531-544
    • Rapp, P.E.1    Mees, A.I.2    Sparrow, C.T.3
  • 41
    • 19544386343 scopus 로고    scopus 로고
    • Differential regulation of proteins by bursting calcium oscillations-a theoretical study
    • Schuster S, Knoke B and Marhl M 2005 Differential regulation of proteins by bursting calcium oscillations-a theoretical study Biosystems 81 49-63
    • (2005) Biosystems , vol.81 , pp. 49-63
    • Schuster, S.1    Knoke, B.2    Marhl, M.3
  • 42
    • 33645391539 scopus 로고    scopus 로고
    • A minimal model for decoding of time-limited Ca2+ oscillations
    • Marhl M, Perc M and Schuster S 2006 A minimal model for decoding of time-limited Ca2+ oscillations Biophys. Chem. 120 161-7
    • (2006) Biophys. Chem. , vol.120 , pp. 161-167
    • Marhl, M.1    Perc, M.2    Schuster, S.3
  • 43
    • 34250609333 scopus 로고
    • Sur les fonctions convexes et les inégalités entre les valeurs moyennes
    • Jensen J L W V 1906 Sur les fonctions convexes et les inégalités entre les valeurs moyennes Acta. Math. 30 175-93
    • (1906) Acta. Math. , vol.30 , pp. 175-193
    • Jensen, J.L.W.V.1
  • 45
    • 0033197915 scopus 로고    scopus 로고
    • Jensen's inequality predicts effects of environmental variation
    • Ruel J J and Ayres M P 1999 Jensen's inequality predicts effects of environmental variation Trends. Ecol. Evol. 14 361-6
    • (1999) Trends. Ecol. Evol. , vol.14 , pp. 361-366
    • Ruel, J.J.1    Ayres, M.P.2
  • 46
    • 40549083019 scopus 로고    scopus 로고
    • Why 'suboptimal' is optimal: Jensen's inequality and ectotherm thermal preferences
    • Martin T L and Huey R B 2008 Why 'suboptimal' is optimal: Jensen's inequality and ectotherm thermal preferences Am. Nat. 171 E102-E18
    • (2008) Am. Nat. , vol.171
    • Martin, T.L.1    Huey, R.B.2
  • 48
    • 0001424903 scopus 로고
    • An amplified sensitivity arising from covalent modification in biological systems
    • Goldbeter A and Koshland D E 1981 An amplified sensitivity arising from covalent modification in biological systems Proc. Natl Acad. Sci. USA 78 6840-4
    • (1981) Proc. Natl. Acad. Sci. USA , vol.78 , pp. 6840-6844
    • Goldbeter, A.1    Koshland, D.E.2
  • 49
    • 0031099173 scopus 로고    scopus 로고
    • Control analysis of periodic phenomena in biological systems
    • Kholodenko B N, Demin O V and Westerhoff H V 1997 Control analysis of periodic phenomena in biological systems J. Phys. Chem. B 101 2070-81
    • (1997) J. Phys. Chem. B. , vol.101 , pp. 2070-2081
    • Kholodenko, B.N.1    Demin, O.V.2    Westerhoff, H.V.3
  • 50
    • 0028178965 scopus 로고
    • Equations for InsP3 receptormediated [Ca2+]i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism
    • Li Y X and Rinzel J 1994 Equations for InsP3 receptormediated [Ca 2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism J. Theor. Biol. 166 461-73
    • (1994) J. Theor. Biol. , vol.166 , pp. 461-473
    • Li, Y.X.1    Rinzel, J.2
  • 51
    • 0346026437 scopus 로고    scopus 로고
    • Bifurcation analysis of calcium oscillations: Time-scale separation, canards and frequency lowering
    • Schuster S and Marhl M 2001 Bifurcation analysis of calcium oscillations: time-scale separation, canards and frequency lowering J. Biol. Syst 9 291-314
    • (2001) J. Biol. Syst. , vol.9 , pp. 291-314
    • Schuster, S.1    Marhl, M.2
  • 53
    • 31544462618 scopus 로고    scopus 로고
    • Supersensitive Ras activation in dendrites and spines revealed by two-photon fluorescence lifetime imaging
    • Yasuda R, Harvey C D, Zhong H, Sobczyk A, Aelst L van and Svoboda K 2006 Supersensitive Ras activation in dendrites and spines revealed by two-photon fluorescence lifetime imaging Nat. Neurosci. 9 283-91
    • (2006) Nat. Neurosci. , vol.9 , pp. 283-291
    • Yasuda, R.1    Harvey, C.D.2    Zhong, H.3    Sobczyk, A.4    Van Aelst, L.5    Svoboda, K.6
  • 54
    • 0022517716 scopus 로고
    • Zero-order ultrasensitivity in the regulation of glycogen phosphorylase
    • Meinke M H, Bishop J S and Edstrom R D 1986 Zero-order ultrasensitivity in the regulation of glycogen phosphorylase Proc. Natl Acad. Sci. USA 83 2865-8
    • (1986) Proc. Natl. Acad. Sci. USA , vol.83 , pp. 2865-2868
    • Meinke, M.H.1    Bishop, J.S.2    Edstrom, R.D.3
  • 55
    • 0041836230 scopus 로고    scopus 로고
    • An ultrasensitive Ca2+/calmodulin-dependent protein kinase II-protein phosphatase 1 switch facilitates specificity in postsynaptic calcium signaling
    • Bradshaw J M, Kubota Y, Meyer T and Schulman H 2003 An ultrasensitive Ca2+/calmodulin-dependent protein kinase II-protein phosphatase 1 switch facilitates specificity in postsynaptic calcium signaling Proc. Natl Acad. Sci. USA 100 10512-7
    • (2003) Proc. Natl. Acad. Sci. USA , vol.100 , pp. 10512-10517
    • Bradshaw, J.M.1    Kubota, Y.2    Meyer, T.3    Schulman, H.4
  • 56
    • 51649123544 scopus 로고    scopus 로고
    • Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes
    • Dupont G, Abou-Lovergne A and Combettes L 2008 Stochastic aspects of oscillatory Ca2+ dynamics in hepatocytes Biophys. J. 95 2193-202
    • (2008) Biophys. J. , vol.95 , pp. 2193-2202
    • Dupont, G.1    Abou-Lovergne, A.2    Combettes, L.3
  • 58
    • 35848961661 scopus 로고    scopus 로고
    • Establishing the stochastic nature of intracellular calcium oscillations from experimental data
    • Perc M, Green A K, Dixon C J and Marhl M 2008 Establishing the stochastic nature of intracellular calcium oscillations from experimental data Biophys. Chem. 132 33-8
    • (2008) Biophys. Chem. , vol.132 , pp. 33-38
    • Perc, M.1    Green, A.K.2    Dixon, C.J.3    Marhl, M.4
  • 59
    • 70349633990 scopus 로고    scopus 로고
    • From puffs to global Ca2+ signals: How molecular properties shape global signals
    • Skupin A and Falcke M 2009 From puffs to global Ca2+ signals: how molecular properties shape global signals Chaos 19 037111
    • (2009) Chaos , vol.19 , pp. 037111
    • Skupin, A.1    Falcke, M.2
  • 60
    • 66049140828 scopus 로고    scopus 로고
    • Global noise and oscillations in clustered excitable media
    • Liao X L, Jung P and Shuai J W 2009 Global noise and oscillations in clustered excitable media Phys. Rev. E 79 041923
    • (2009) Phys. Rev. E , vol.79 , pp. 041923
    • Liao, X.L.1    Jung, P.2    Shuai, J.W.3
  • 61
    • 0036280380 scopus 로고    scopus 로고
    • Stochastic properties of Ca2+ release of inositol 1, 4, 5-trisphosphate receptor clusters
    • Shuai J W and Jung P 2002 Stochastic properties of Ca2+ release of inositol 1, 4, 5-trisphosphate receptor clusters Biophys. J. 83 87-97
    • (2002) Biophys. J. , vol.83 , pp. 87-97
    • Shuai, J.W.1    Jung, P.2
  • 62
    • 0037457952 scopus 로고    scopus 로고
    • Optimal ion channel clustering for intracellular calcium signaling
    • Shuai J W and Jung P 2003 Optimal ion channel clustering for intracellular calcium signaling Proc. Natl Acad. Sci. USA 100 506-10
    • (2003) Proc. Natl. Acad. Sci. USA , vol.100 , pp. 506-510
    • Shuai, J.W.1    Jung, P.2
  • 63
    • 19744381987 scopus 로고    scopus 로고
    • Stability of membrane bound reactions
    • Thul R and Falcke M 2004 Stability of membrane bound reactions Phys. Rev. Lett. 93 188103
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 188103
    • Thul, R.1    Falcke, M.2
  • 64
    • 33745613538 scopus 로고    scopus 로고
    • Frequency of elemental events of intracellular Ca2+ dynamics
    • Thul R and Falcke M 2006 Frequency of elemental events of intracellular Ca2+ dynamics Phys. Rev. E 73 061923
    • (2006) Phys. Rev. E , vol.73 , pp. 061923
    • Thul, R.1    Falcke, M.2
  • 65
    • 70349635820 scopus 로고    scopus 로고
    • Toward a predictive model of Ca2+ puffs
    • Thul R, Thurley K and Falcke M 2009 Toward a predictive model of Ca 2+ puffs Chaos 19 037108
    • (2009) Chaos , vol.19 , pp. 037108
    • Thul, R.1    Thurley, K.2    Falcke, M.3
  • 66
    • 34247174889 scopus 로고    scopus 로고
    • The dynamics of luminal depletion and the stochastic gating of Ca 2+-activated Ca2+ channels and release sites
    • Huertas M A and Smith G D 2007 The dynamics of luminal depletion and the stochastic gating of Ca2+-activated Ca2+ channels and release sites J. Theor. Biol. 246 332-54
    • (2007) J. Theor. Biol. , vol.246 , pp. 332-354
    • Huertas, M.A.1    Smith, G.D.2
  • 67
    • 51049124095 scopus 로고    scopus 로고
    • Markov chain models of coupled calcium channels: Kronecker representations and iterative solution methods
    • DeRemigio H, LaMar. M D, Kemper P and Smith G D 2008 Markov chain models of coupled calcium channels: Kronecker representations and iterative solution methods Phys. Biol. 5 036003
    • (2008) Phys. Biol. , vol.5 , pp. 036003
    • DeRemigio, H.1    LaMar, M.D.2    Kemper, P.3    Smith, G.D.4
  • 68
    • 0000349482 scopus 로고    scopus 로고
    • Phase synchronization in coupled nonidentical excitable systems and array-enhanced coherence resonance
    • Hu B and Zhou C 2000 Phase synchronization in coupled nonidentical excitable systems and array-enhanced coherence resonance Phys. Rev. E 61 R1001-4
    • (2000) Phys. Rev. E , vol.61
    • Hu, B.1    Zhou, C.2
  • 69
    • 0035959211 scopus 로고    scopus 로고
    • Array-enhanced coherence resonance: Nontrivial effects of heterogeneity and spatial independence of noise
    • Zhou C, Kurths J and Hu B 2001 Array-enhanced coherence resonance: nontrivial effects of heterogeneity and spatial independence of noise Phys. Rev. Lett. 87 098101
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 098101
    • Zhou, C.1    Kurths, J.2    Hu, B.3
  • 70
    • 84857137050 scopus 로고    scopus 로고
    • Sparks and waves in a stochastic fire-diffuse-fire model of Ca 2+ release
    • Coombes S and Timofeeva Y 2003 Sparks and waves in a stochastic fire-diffuse-fire model of Ca2+ release Phys. Rev. E 68 021915
    • (2003) Phys. Rev. E , vol.68 , pp. 021915
    • Coombes, S.1    Timofeeva, Y.2
  • 71
    • 0036285634 scopus 로고    scopus 로고
    • Mathematical models of protein kinase signal transduction
    • Heinrich R, Neel B G and Rapoport T A 2002 Mathematical models of protein kinase signal transduction Mol. Cell. 9 957-70
    • (2002) Mol. Cell. , vol.9 , pp. 957-970
    • Heinrich, R.1    Neel, B.G.2    Rapoport, T.A.3
  • 72
    • 6344223567 scopus 로고    scopus 로고
    • Optimal length and signal amplification in weakly activated signal transduction cascades
    • Chaves M, Sontag E D and Dinerstein R J 2004 Optimal length and signal amplification in weakly activated signal transduction cascades J. Phys. Chem. B 108 15311-20
    • (2004) J. Phys. Chem. B. , vol.108 , pp. 15311-15320
    • Chaves, M.1    Sontag, E.D.2    Dinerstein, R.J.3


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