Fluctuation and noise propagation in phenotypic transition cascades of clonal populations.
Quantitative modeling of fluctuations of each phenotype is a crucial step towards a fundamental understanding of noise propagation through various phenotypic transition cascades. The theoretical formulas for noise propagation in various phenotypic transition cascades are derived by using the linear noise approximation of master equation and the logarithmic gain. By virtue of the theoretical formulas, we study the noise propagation in bidirectional and unidirectional phenotypic transition cascades, respectively. It is found that noise propagation in these two phenotypic transition cascades evidently differs: In the bidirectional cascade, a systemic random environment is provided by a correlated global component. The total noise of each phenotype is mainly determined by the intrinsic noise and the transmitted noise from other phenotypes. The intrinsic noise enlarged by interconversion through an added part shows a novel noise propagation mechanism. However, in the unidirectional cascade, the random environment of each downstream phenotype is provided by upstream phenotypes. The total noise of each downstream phenotype is mainly determined by the transmitted noises from upstream phenotypes. The intrinsic noise and the conversion noise can propagate in both bidirectional and unidirectional phenotypic transition cascades.
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.|School of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China.
Qi-ming
QM
Pei
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Xuan
X
Zhan
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Li-jian
LJ
Yang
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Jian
J
Shen
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Li-fang
LF
Wang
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Kang
K
Qui
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Ting
T
Liu
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
J B
JB
Kirunda
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
A A M
AA
Yousif
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
An-bang
AB
Li
Institute of Biophysics and Department of Physics, Central China Normal University, Wuhan 430079, China.
Ya
Y
Jia
D003106:Colon / Q000382:microbiology; D003198:Computer Simulation; D008957:Models, Genetic; D010641:Phenotype