For the single gene network model, there are two basic types. For convenience, we call them Type I and Type II, respectively. The Type I model describes both the dynamics of mRNA and protein. The Type II model is a si...For the single gene network model, there are two basic types. For convenience, we call them Type I and Type II, respectively. The Type I model describes both the dynamics of mRNA and protein. The Type II model is a simplification of the Type I model based on the assumption that the change rate of mRNA is much faster than protein because the half-life of mRNA is short compared with that of protein, the Type II model describes only the dynamics of protein. The analysis of the Type I model is based on the assumption that the ratio of the protein decay rate to the mRNA decay rate is small enough. The main results for Type I model show that the Fano factor of the protein must be bigger than one if there is no negative feedback on the transcription. If there is negative feedback, the relative fluctuation strength in the number of proteins is determined by the size of the feedback regulation strength. For the Type II model, the Fano factor of the protein depends on the effect of the feedback regulation on the translation, i.e., the Fano factor equals one if there is no feedback, and is less than one （or bigger than one） if there is negative feedback （or positive feedback）. These results show clearly that the analysis of the steady-state statistical properties of single gene network is model-dependent.展开更多
The present paper uses the model-dependent and the modeL independent approach to measure the RMB exchange market pressure （EMP） and the central bank＇s intervention using monthly data from January 1999 to June 2008....The present paper uses the model-dependent and the modeL independent approach to measure the RMB exchange market pressure （EMP） and the central bank＇s intervention using monthly data from January 1999 to June 2008. It is determined that the RMB has been under great appreciation pressure over the past decade. However, the pressure has been weakening since 2005. The two approaches provide significantly different results in terms of the estimated RMB EMP indices and the estimated central bank＇s interventions. The differences may lead to different predietions of potential currency crises. According to the estimation of the RMB EMP, and based on the model-independent approach, the paper shows that China has been under threat of an appreciation currency crisis since 2008. Therefore, China should adopt a moreflexible exchange rate regime to prevent a potential crisis.展开更多
文摘For the single gene network model, there are two basic types. For convenience, we call them Type I and Type II, respectively. The Type I model describes both the dynamics of mRNA and protein. The Type II model is a simplification of the Type I model based on the assumption that the change rate of mRNA is much faster than protein because the half-life of mRNA is short compared with that of protein, the Type II model describes only the dynamics of protein. The analysis of the Type I model is based on the assumption that the ratio of the protein decay rate to the mRNA decay rate is small enough. The main results for Type I model show that the Fano factor of the protein must be bigger than one if there is no negative feedback on the transcription. If there is negative feedback, the relative fluctuation strength in the number of proteins is determined by the size of the feedback regulation strength. For the Type II model, the Fano factor of the protein depends on the effect of the feedback regulation on the translation, i.e., the Fano factor equals one if there is no feedback, and is less than one （or bigger than one） if there is negative feedback （or positive feedback）. These results show clearly that the analysis of the steady-state statistical properties of single gene network is model-dependent.
文摘The present paper uses the model-dependent and the modeL independent approach to measure the RMB exchange market pressure （EMP） and the central bank＇s intervention using monthly data from January 1999 to June 2008. It is determined that the RMB has been under great appreciation pressure over the past decade. However, the pressure has been weakening since 2005. The two approaches provide significantly different results in terms of the estimated RMB EMP indices and the estimated central bank＇s interventions. The differences may lead to different predietions of potential currency crises. According to the estimation of the RMB EMP, and based on the model-independent approach, the paper shows that China has been under threat of an appreciation currency crisis since 2008. Therefore, China should adopt a moreflexible exchange rate regime to prevent a potential crisis.
