Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The dynamical properties of a noise-driven tumor cell growth system are investigated when there exist two different kinds of time delays, in the deterministic and fluctuating forces, respectively. Using the approximation probability density approach, the delayed Fokker-Planck equation is obtained. The effects of two different time delays on the stationary probability distribution (SPD), the mean value and the mean passage time (MFPT) are discussed. It is found that the time delay τ1 in the deterministic force can enhance tumor cell number, while the time delay τ2 in the fluctuating force can induce a decrease in tumor cell numbers. On the other hand, while τ1 can hold back the extinction of tumor cells, τ2 can speed up their extinction.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
616-620
Opis fizyczny
Daty
wydano
2011-06-01
online
2011-02-26
Twórcy
autor
- Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China
autor
- Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China
autor
- Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China, cjwangbj@126.com
Bibliografia
- [1] A. Longtin, A. Bulsara, F. Moss, Phys. Rev. Lett. 67, 656 (1991) http://dx.doi.org/10.1103/PhysRevLett.67.656[Crossref]
- [2] J.J. Collins, T.T. Imhoff, P. Grigg, Phys. Rev. E 56, 923 (1997) http://dx.doi.org/10.1103/PhysRevE.56.923[Crossref]
- [3] C. Masoller, Phys. Rev. Lett. 88, 034102 (2002) http://dx.doi.org/10.1103/PhysRevLett.88.034102[Crossref]
- [4] D. Huber, L.S. Tsimring, Phys. Rev. Lett. 91, 260601 (2003) http://dx.doi.org/10.1103/PhysRevLett.91.260601[Crossref]
- [5] L.S. Tsimring, A. Pikovsky, Phys. Rev. Lett. 87, 250602 (2001) http://dx.doi.org/10.1103/PhysRevLett.87.250602[Crossref]
- [6] D. Wu, S.Q. Zhu, Phys. Lett. A 363, 202 (2007) http://dx.doi.org/10.1016/j.physleta.2006.11.006[Crossref]
- [7] L.R. Nie, D.C. Mei, Europhys. Lett. 79, 20005 (2007) http://dx.doi.org/10.1209/0295-5075/79/20005[Crossref]
- [8] L.R. Nie, D.C. Mei, Phys. Rev. E 77, 031107 (2008) http://dx.doi.org/10.1103/PhysRevE.77.031107[Crossref]
- [9] D. Bratsun, D. Volfson, L.S. Tsimring, J. Hasty, PANS 41, 14593 (2005) http://dx.doi.org/10.1073/pnas.0503858102[Crossref]
- [10] B.Q. Ai, X.J. Wang, G.T. Liu, L.G. Liu, Phys. Rev. E 67, 022903 (2003) http://dx.doi.org/10.1103/PhysRevE.67.022903[Crossref]
- [11] D.C. Mei, C.W. Xie, L. Zhang, Eur. Phys. J. B 41, 107 (2004) http://dx.doi.org/10.1140/epjb/e2004-00300-1[Crossref]
- [12] J.C. Cai, C.J. Wang, D.C. Mei, Chinese Phys. Lett. 24, 1162 (2007) http://dx.doi.org/10.1088/0256-307X/24/5/010[Crossref]
- [13] C.J. Wang, Q. Wei, D.C. Mei, Mod. Phys. Lett. B 21, 789 (2007) http://dx.doi.org/10.1142/S0217984907013225[Crossref]
- [14] C.J. Wang, Q. Wei, D.C. Mei, Phys. Lett. A 372, 2176 (2008) http://dx.doi.org/10.1016/j.physleta.2007.11.040[Crossref]
- [15] C.J. Wang, Q. Wei, B.B. Zheng, D.C. Mei, Acta Phys. Sin.-Ch. Ed. 57, 1735 (2008)
- [16] L.B. Han, X.L. Gong, L. Cao, D.J. Wu, Chinese Phys. Lett. 24, 632 (2007) http://dx.doi.org/10.1088/0256-307X/24/4/024[Crossref]
- [17] W.R. Zhong, Y.Z. Shao, Z.H. He, Phys. Rev. E 73, 060902 (2006) http://dx.doi.org/10.1103/PhysRevE.73.060902[Crossref]
- [18] T. Bose, S. Trimper, Phys. Rev. E 79, 051903 (2009) http://dx.doi.org/10.1103/PhysRevE.79.051903[Crossref]
- [19] L.B. Han, Acta Phys. Sin.-Ch. Ed. 57, 6081 (2008)
- [20] Y.F. Guo, W. Xu, Acta Phys. Sin.-Ch. Ed. 57, 2699 (2008)
- [21] A. Lipowski, D. Lipowska, Physica A 276, 456 (2000) http://dx.doi.org/10.1016/S0378-4371(99)00482-3[Crossref]
- [22] J.C. Panetta, Appl. Math. Lett. 8, 83 (1995) http://dx.doi.org/10.1016/0893-9659(95)00053-S[Crossref]
- [23] X.H. Gu, S.Q. Zhu, D. Wu, Eur. Phys. J. D 42, 461 (2007) http://dx.doi.org/10.1140/epjd/e2007-00043-7[Crossref]
- [24] T.D. Frank, P.J. Beek, Phys. Rev. E 64, 021917 (2001) http://dx.doi.org/10.1103/PhysRevE.64.021917[Crossref]
- [25] D.J. Wu, L. Cao, S.Z. Ke, Phys. Rev. E 50, 2496 (1994) http://dx.doi.org/10.1103/PhysRevE.50.3560[Crossref]
- [26] K. Lindenberg, B.J. West, J. Stat. Phys. 42, 201 (1986) http://dx.doi.org/10.1007/BF01010847[Crossref]
- [27] J. Masoliver, B.J. West, K. Lindenberg, Phys. Rev. A 35, 3086 (1987) http://dx.doi.org/10.1103/PhysRevA.35.3086[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0067-z