1Department of Educational Technology, Anqing Teachers College, Anqing 2460112College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000
Synchronized Anti-Phase and In-Phase Oscillations of Intracellular Calcium Ions in Two Coupled Hepatocytes System
1Department of Educational Technology, Anqing Teachers College, Anqing 2460112College of Physics and Electronic Information, Anhui Normal University, Wuhu 241000
摘要We study the dynamic behaviour of two intracellular calcium oscillators that are coupled through gap junctions both to Ca2+ and inositol(1,4,5)-trisphosphate (IP3). It is found that synchronized anti-phase and in-phase oscillations of cytoplasmic calcium coexist in parameters space. Especially, synchronized anti-phase oscillations only occur near the onset of a Hopf bifurcation point when the velocity of IP3 synthesis is increased. In addition, two kinds of coupling effects, i.e., the diffusions of Ca2+ and IP3 among cells on synchronous behaviour, are considered. We find that small coupling of Ca2+ and large coupling of IP3 facilitate the emergence of synchronized anti-phase oscillations. However, the result is contrary for the synchronized in-phase case. Our findings may provide a qualitative understanding about the mechanism of synchronous behaviour of intercellular calcium signalling.
Abstract：We study the dynamic behaviour of two intracellular calcium oscillators that are coupled through gap junctions both to Ca2+ and inositol(1,4,5)-trisphosphate (IP3). It is found that synchronized anti-phase and in-phase oscillations of cytoplasmic calcium coexist in parameters space. Especially, synchronized anti-phase oscillations only occur near the onset of a Hopf bifurcation point when the velocity of IP3 synthesis is increased. In addition, two kinds of coupling effects, i.e., the diffusions of Ca2+ and IP3 among cells on synchronous behaviour, are considered. We find that small coupling of Ca2+ and large coupling of IP3 facilitate the emergence of synchronized anti-phase oscillations. However, the result is contrary for the synchronized in-phase case. Our findings may provide a qualitative understanding about the mechanism of synchronous behaviour of intercellular calcium signalling.
[1] Alberts B, Bray D, Lewis J, Raff M, Roberts K and Watson JD 1994 {it Molecular Biology of the Cell (New York: Garland) [2] Kandel E R, Schwartz J H and Jessel T M 1991 {itPrinciples of neural science (Norwalk, CT: Appleton and Lange) [3] Shi X M and Liu Z R 2005 {it Chin. Phys. Lett. 22 3206 [4] H"{ofer T 1999 {it Biophys. J. 77 1244 [5] Dupont G, Tordjmann T, Clair C, Swillens S, Claret M andCombettes L 2000 {it FASEB J. 14 279 [6] Robb L D and Thomas A P 1995 {it J. Biol. Chem. 270 8102 [7] Tordjmann T, Berthon B, Claret M and Combettes L 1997{it EMBO J. 16 5398 Tordjmann T, Berthon B, Jacquemin E, Clair C, Stelly N,Guillon G, Claret M and Combettes L 1998 {it EMBO J. 174695 [8] Zimmermann B and Walz B 1997 {it J. Physiol. 50017 [9] Yule D I, Stuenkel E and Williams J A 1996 {it Am. J.Physiol. 271 C1285 [10] Wu D, Jia Y, Zhan X, Yang L J and Liu Q 2005 {itBiophys.Chem. 113 145 Wu D and Jia Y 2007 {it Biophys. Chem. 125 247 [11] Politi A, Gaspers L D, Thomas A P and H"{ofer T 2006{it Biophys. J. 90 3120 [12] Schuster S, Marhl M and H"{ofer T 2002 {it Eur. J.Biochem. 269 1333 [13] Falcke M 2004 {it Adv. Phys. 53 255 [14] Ying Y J and Huang Z Q 2001 {it Chin. Phys. Lett. 18 695 [15] Ying Y J and Li W H 2003 {it Chin. Phys. Lett. 20 1168 [16] Jia Y, Yang L J, Wu D, Liu Q and Zhan X 2004 {it Chin.Phys. Lett. 21 1666 [17] Hirose K S, Kadowaki M, Tanabe H, Takeshima and Lino M1999 {it Science 284 1527 [18] Young K W, Nash M S, Challiss R A and Nahorski S R 2003{it J. Biol.Chem. 278 20753 [19] Dupont G and Erneux C 1997 {it Cell Calcium 22321 [20] Bindschadler M and Sneyd J 2001 {it Chaos 11 237 [21] Ullah G, Jung P and Cornell-B A H 2006 {it CellCalcium 39 197 [22] Rahman A, Hughes A, Matchkov V, Nilsson H and Aalkjae{rC 2007 {it Cell Calcium 42 536
2008, Vol. 25 
