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Gene expression is a fundamental cellular process by which proteins are synthesized based on the information coded in the genes. The two major steps of this process are the transcription of the DNA segment corresponding to a gene to mRNA molecules and the translation of the mRNA molecules to proteins by the ribosome. Thus, understanding, modeling and engineering the different stages of this process have both important biotechnological applications and contributions to basic life science. In previous studies we have introduced the Homogenous Ribosome Flow Model (HRFM) and demonstrated its advantages in analyses of the translation process. In this study we introduce the RNA Polymerase Flow Model (RPFM), a non trivial extension of the HRFM, which also includes a backward flow and can be used for modeling transcription and maybe other similar processes. We compare the HRFM and the RPFM in the three regimes of the transcription process: rate limiting initiation, rate limiting elongation and rate limiting termination via a simulative and analytical analysis. In addition, based on experimental data, we show that RPFM is a better choice for modeling transcription process.