model of gene transcription including the return of a rna polymerase to the beginning of a...
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Model of gene transcription including the return of a RNA polymeraseto the beginning of a transcriptional cycle
Vladimir P. Zhdanov*PHYSICAL REVIEW E 80, 051925 (2009)
Preliminary Gene Transcription: DNA->RNA
Initiation
Elongation
Termination
Introduction Regulation of Gene expression
DNA-binding Protein may facilitate or suppress the Transcription initiation
Introduction What happens at end of transcriptional
cycle? RNAP diffuse along DNA RNAP disassociate from DNA RNAP start Transcription cycle again
A kinetic model of gene transcription Include the return of RNAP to a transcription
cycle Show transcriptional burst
Model of Gene Transcription
Conventional Scheme: probability that the gene is in the P⋆
1 state:
Steady-state probability that the gene is in the P⋆
1 state:
Transcription Rate :
Model of Gene Transcription
Conventional Scheme + Diffusion: probabilities of P⋆
1 , P*1, P*
2, P⋆2 state:
Steady-state
Model of Gene Transcription
Conventional Scheme + Diffusion: Transcription Rate :
With saturation Transcription rate:
Model of Gene Transcription
Transcription Burst The probability that RNAP produces n RNA after
association is given by:
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