Application of Gaussian moment method to a gene autoregulation model of rational vector field
2016 ◽
Vol 30
(20)
◽
pp. 1650264
◽
Keyword(s):
We take a lambda expression autoregulation model driven by multiplicative and additive noises as example to extend the Gaussian moment method from nonlinear stochastic systems of polynomial vector field to noisy biochemical systems of rational polynomial vector field. As a direct application of the extended method, we also disclose the phenomenon of stochastic resonance. It is found that the transcription rate can inhibit the stochastic resonant effect, but the degradation rate may enhance the phenomenon. These observations should be helpful in understanding the functional role of noise in gene autoregulation.
1994 ◽
Vol 28
(2)
◽
pp. 77-84
◽
2017 ◽
Vol 2019
(13)
◽
pp. 4119-4158
2004 ◽
Vol 53
(2)
◽
pp. 647-666
◽
1997 ◽
Vol 56
(1)
◽
pp. 87-94
Keyword(s):
2002 ◽
Vol 126
(5)
◽
pp. 369-378
◽
Keyword(s):
2018 ◽
Vol 121
◽
pp. 50-53
◽
2010 ◽
Vol 216
(1)
◽
pp. 35-50
◽
1993 ◽
Vol 47
(3)
◽
pp. 473-481
◽
Keyword(s):