Interlinked dual-time feedback loops can enhance robustness to stochasticity and persistence of memory.

Multiple interlinked positive feedback loops shape the stimulus responses of various biochemical systems, such as the cell cycle or intracellular Ca2+ release. Recent studies with simplified models have identified two advantages of coupling fast and slow feedback loops. This dual-time structure enables a fast response while enhancing resistances of responses and bistability to stimulus noise. We now find that (1) the dual-time structure similarly confers resistance to internal noise due to molecule number fluctuations, and (2) model variants with altered coupling, which better represent some specific biochemical systems, share all the above advantages. We also develop a similar bistable model with coupling of a fast autoactivation loop to a slow loop. This model's topology was suggested by positive feedback proposed to play a role in long-term synaptic potentiation (LTP). The advantages of fast response and noise resistance are also present in this autoactivation model. Empirically, LTP develops resistance to reversal over approximately 1h . The model suggests this resistance may result from increased amounts of synaptic kinases involved in positive feedback.

c-{\it mos\/} RNA expression in somatic cells and its physiological significance in cell cycle progression

The c-mos proto-oncogene, which is expressed at relatively high levels in male and female germ cells, plays a key role in oocyte meiotic maturation. The c-mos gene product in oocytes (p39$\sp{\rm c-mos}$) is necessary and sufficient to initiate meiosis. p39$\sp{\rm c-mos}$ is also an essential component of the cytostatic factor, which is responsible for arresting vertebrate oocytes at the second meiotic metaphase by stabilizing the maturation promoting factor (MPF). MPF is a universal regulator of both meiosis and mitosis. Much less is understood about c-mos expression and function in somatic cells. In addition to gonadal tissues, c-Mos has been detected in some somatic tissues and non-germ cell lines including NIH 3T3 cells as a protein termed p43$\sp{\rm c-mos}$. Since c-mos RNA transcripts were not previously detected in this cell line by Northern blot or S1 protection analyses, a search was made for c-mos RNA in NIH 3T3 cells. c-mos transcripts were detected using the highly sensitive RNA-PCR method and RNase protection assays. Furthermore, cell cycle analyses indicated that expression of c-mos RNA is tightly controlled in a cell cycle dependent manner with highest levels of transcripts (approximately 5 copies/cell) during the G2 phase.^ In order to determine the physiological significance of c-mos RNA expression in somatic cells, antisense mos was placed under the control of an inducible promoter and introduced into either NIH 3T3 cells or C2 cells. It was found that a basal level of expression of antisense mos resulted in interference with mitotic progression and growth arrest. Several nuclear abnormalities were observed, especially the appearance of binucleated and multinucleated cells as well as the extrusion of microvesicles containing cellular material. These results indicate that antisense mos expression results in a block in cytokinesis. In summary, these results establish that c-mos expression is not restricted to germ cells, but instead indicate that c-mos RNA expression occurs during the G2 stage of the cell cycle. Furthermore, these studies demonstrate that the c-mos proto-oncogene plays an important role in cell cycle progression. As in meiosis, c-mos may have a similar but not identical function in regulating cell cycle events in somatic cells, particularly in controlling mitotic progression via activation/stabilization of MPF. ^