Dynamic Analysis of Stochastic Transcription Cycles

Dynamic Analysis of Stochastic Transcription Cycles

In individual mammalian cells the expression of some genes such as prolactin is highly variable over time and has been suggested to occur in stochastic pulses. To investigate the origins of this behavior and to understand its functional relevance, we quantitatively analyzed this variability using new mathematical tools that allowed us to reconstruct dynamic transcription rates of different repo...

Retraction Notice to: Population-Level Transcription Cycles Derive from Stochastic Timing of Single-Cell Transcription

(Cell 138, 498–501; August 7, 2009) In this paper, we used computational approaches to show that transcriptional cycling, i.e., periodic assembly of transcription factors and their cofactors and the resulting cyclical accumulation of mRNA, may stem from stochastic timing and sequential activation of transcription in individual cells. We also presented experimental results in support of the mode...

RETRACTED: Population-Level Transcription Cycles Derive from Stochastic Timing of Single-Cell Transcription

Eukaryotic transcription is a dynamic process relying on a large number of proteins. By measuring the cycling expression of the pyruvate dehydrogenase kinase 4 gene in human cells, we constructed a detailed stochastic model for single-gene transcription at the molecular level using realistic kinetics for diffusion and protein complex dynamics. We observed that gene induction caused an approxima...

dynamic coloring of graph

در این پایان نامه رنگ آمیزی دینامیکی یک گراف را بیان و مطالعه می کنیم. یک –kرنگ آمیزی سره ی رأسی گراف g را رنگ آمیزی دینامیکی می نامند اگر در همسایه های هر رأس v?v(g) با درجه ی حداقل 2، حداقل 2 رنگ متفاوت ظاهر شوند. کوچکترین عدد صحیح k، به طوری که g دارای –kرنگ آمیزی دینامیکی باشد را عدد رنگی دینامیکی g می نامند و آنرا با نماد ?_2 (g) نمایش می دهند. مونت گمری حدس زده است که تمام گراف های منتظم ...

Stochastic Analysis of Dynamic Processes