-
Abstract
A kinetic model of the interactions between operators and regulators is developed to study the stabilities of genetic states and lysogeny/lysis switch in Escherichia coli infected by bacteriophage lambda. Using adiabatic approximation, the kinetic evolutions of mRNA and regulator concentrations can be deduced from operators' equations. Furthermore, the stability of each state of the system is studied. The results show that the lysogenic state switches to the lytic state through two bifurcations: one from a single stable state to a three-point state, and the other from a three-point state to a single stable state. Then we indicate that the property of the lysogeny/lysis switch satisfies the topological characteristics theorem. Finally, the influence of the left operators on the lysogeny/lysis switch is briefly discussed. The results show that the cooperativity of the CI2 bound to left and right operators makes the lysogenic state more stable. -
References
[1] Bakk A, Metzler R and Sneppen K 2004 Biophys. J. 86 58 [2] Santillan M and Mackey M C 2004 Biophys. J. 86 75 [3] Shea M A and Ackers G K 1985 J. Mol. Biol. 181 211 [4] Koblan K S and Ackers G K 1992 Biochemistry 31 57 [5] Kuttler C and Niehren J 2006 Transactions onComputational Systems Biology 4230 24 [6] Ackers G K et al 1982 Proc. Natl. Acad. Sci. USA 79 1129 [7] Haken H 1983 Advanced Synergetics (Berlin:Springer) p 188 [8] Clark R N 1992 IEEE Control System Magazine 12 119 [9] Murray J D 1989 Mathematical Biology (New York:Springer) p 234 [10] Glass L 1975 Proc. Natl. Acad. Sci. USA 722856 [11] Landau L D and Lifshitz E M 1958 Statisticalphysics (London: Pergamon) p 218 [12] Arkin A et al 1998 Genetics 149 1633 [13] Dodd I B et al 2001 Genes Dev. 15 3013 -
Related Articles
[1] ZhiQiang Wang, Wei Quan, YanLan Wang, XiaoLei Hao, Jing Chen, XiaoJun Liu. Rydberg-state excitation and ionization of argon atoms subject to strong circularly polarized two-color few-cycle laser fields [J]. Chin. Phys. Lett., 2025, 42(5): 053701. doi: 10.1088/0256-307X/42/5/053701 [2] QIU Ping, WANG Ke, ZHU He-Yuan, QIAN Lie-Jia. Transverse Inhomogeneous Carrier-Envelope Phase Distribution of Idler Generated through Difference-Frequency-Generation [J]. Chin. Phys. Lett., 2010, 27(3): 034204. doi: 10.1088/0256-307X/27/3/034204 [3] TENG Hao, YUN Chen-Xia, ZHU Jiang-Feng, HAN Hai-Nian, ZHONG Xin, ZHANG Wei, HOU Xun, WEI Zhi-Yi. Generation of Continuum Extreme-Ultraviolet Radiation by Carrier-Envelope-Phase-Stabilized 5-fs Laser Pulses [J]. Chin. Phys. Lett., 2009, 26(11): 113201. doi: 10.1088/0256-307X/26/11/113201 [4] LI Hong-Yun, CHEN Jing, JIANG Hong-Bing, LIU Jie, FU Pan-Ming, GONG Qi-Huang, YAN Zong-Chao, WANG Bing-Bing. Measurement of Carrier-Envelope Phase and Field Strength of a Few-Cycle Pulse by Non-sequential Double Ionization [J]. Chin. Phys. Lett., 2009, 26(10): 104207. doi: 10.1088/0256-307X/26/10/104207 [5] ZHOU Yue-Ming, LIAO Qing, LAN Peng-Fei, LU Pei-Xiang. Classical Effects of Carrier--Envelope Phase on Nonsequential Double Ionization [J]. Chin. Phys. Lett., 2008, 25(11): 3950-3953. [6] DING Ding, XIA Lei, SHAN Shao-Tai, DONG Yuan-Da. Long-Term Thermal Stability of Binary Cu50.3Zr49.7 Bulk Metallic Glass [J]. Chin. Phys. Lett., 2008, 25(1): 306-309. [7] ZHOU Yong-Heng, JIANG Hong-Bing, GONG Qi-Huang. Controlling of Slope of Carrier--Envelope Phase of Few-Cycle Laser Pulses on Propagation Distance near the Focus [J]. Chin. Phys. Lett., 2007, 24(5): 1245-1247. [8] ZHOU Yong-Heng, JIANG Hong-Bing, GONG Qi-Huang. The Carrier--Envelope Phase of Focused Few-Cycle Laser Pulses [J]. Chin. Phys. Lett., 2006, 23(1): 110-112. [9] WANG Bing-Bing, CHEN Jing, LIU Jie, LI Xiao-Feng, FU Pan-Ming. Carrier Envelope Phase Controlled High-Order Harmonic Generation in Ultrashort Laser Pulse [J]. Chin. Phys. Lett., 2005, 22(9): 2237-2240. [10] ZHANG Jie, ZHANG Jing-Tao, SUN Zhen-Rong, XU Zhi-Zhan. Carrier-Envelope Phase-Dependent Effect on Photoelectron Angular Distribution in Single-Cycle Laser Pulses [J]. Chin. Phys. Lett., 2004, 21(3): 468-471.
Impact Factor 2023: 3.5 | CiteScore 2023: 5.9 | Time to First Decision: 28 days
DownLoad: