Molecular synchronization waves in arrays of allosterically regulated enzymes

Physical Review Letters

Volumn 99, Issue 4, 2007, Pages

  Casagrande, Vanessa ^a   Togashi, Yuichi ^b,c   Mikhailov, Alexander S ^b  

^a HAHN MEITNER INSTITUT   (Germany)

^b FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

^c OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CHEMICAL ACTIVATION; COMPUTER SIMULATION; ENZYME KINETICS; SYNCHRONIZATION;

ACTIVATED ENZYMIC REACTION; ALLOSTERICALLY REGULATED ENZYMES; MOLECULAR SYNCHRONIZATION WAVES; SPATIOTEMPORAL PATTERN FORMATION;

MOLECULAR PHYSICS;

CATALYSIS;

CATALYSIS;

EID: 34547476489     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.048301     Document Type: Article

References (21)

1. K. Kinbara and T. Aida, Chem. Rev. 105, 1377 (2005). CHREAY 0009-2665 10.1021/cr030071r
2. L.A. Blumenfeld and A.N. Tikhonov, Biophysical Thermodynamics of Intracellular Processes: Molecular Machines of the Living Cell (Springer, Berlin, 1994).
3. M. Gerstein, A.M. Lesk, and C. Chothia, Biochemistry BICHAW 0006-2960 33, 6739 (1994). 10.1021/bi00188a001
4. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997). RMPHAT 0034-6861 10.1103/RevModPhys.69.1269
5. H.-Ph. Lerch, A.S. Mikhailov, and B. Hess, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 99, 15410 (2002). 10.1073/pnas.232376799
6. H.-Ph. Lerch, R. Rigler, and A.S. Mikhailov, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 102, 10807 (2005). 10.1073/pnas.0504995102
7. S. Ramaswamy, J. Toner, and J. Prost, Phys. Rev. Lett. 84, 3494 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3494
8. P. Lenz, J.-F. Joanny, F. Jülicher, and J. Prost, Phys. Rev. Lett. 91, 108104 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.108104
9. H.-Y. Chen, Phys. Rev. Lett. 92, 168101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.168101
10. A. Goldbeter, Biochemical Oscillations and Cellular Rhythms (Cambridge University Press, Cambridge, 1996).
11. P. Stange, A.S. Mikhailov, and B. Hess, J. Phys. Chem. B 102, 6273 (1998). JPCBFK 1520-6106 10.1021/jp9813185
12. P. Stange, A.S. Mikhailov, and B. Hess, J. Phys. Chem. B 103, 6111 (1999). JPCBFK 1520-6106 10.1021/jp9900640
13. K. Sun and Q. Ouyang, Phys. Rev. E 64, 026111 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.64.026111
14. M. Schienbein and H. Gruler, Phys. Rev. E 56, 7116 (1997). PLEEE8 1063-651X 10.1103/PhysRevE.56.7116
15. See EPAPS Document No. E-PRLTAO-99-041730 for dynamical evolutions of 2D wave patterns. Videos 1 to 4 correspond to panels (a) to (d) in Fig. 2, respectively. The linear size of the shown area is L=81 Ldiff (256 simulation cells) in Videos 1 and 2, and L=40 Ldiff (128 simulation cells) in Videos 3 and 4. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html.
16. V. Casagrande, Doctoral thesis, Technical University, Berlin, 2006, http://opus.kobv.de/tuberlin/volltexte/2006/1273/.
17. D. Walgraef, Spatio-Temporal Pattern Formation (Springer, Berlin, 1997).
18. A.M. Zhabotinsky, M. Dolnik, and I.R. Epstein, J. Chem. Phys. 103, 10306 (1995). JCPSA6 0021-9606 10.1063/1.469932
19. B. Hess, A. Boiteux, and J. Krüger, Advances in Enzyme Regulation AEZRA2 0065-2571 7, 149 (1969). 10.1016/0065-2571(69)90016-8
20. H. Hess and G.D. Bachand, Mater. Today 8, 22 (2005). MATOBY 0096-4867 10.1016/S1369-7021(05)71286-4
21. H.R. Petty, R.G. Worth, and A.L. Kindzelskii, Phys. Rev. Lett. 84, 2754 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.2754