Quasi-exponential generation time distributions from a limit cycle oscillator

In spite of the apparently random behaviour and the often exponential distribution of generation times expressed in cell populations, there is evidence for rather precise timekeeping in the cell cycle. In experiments using time-lapse video-tape microscopy, we have noted that cell generation times are often not distributed smoothly but in many cases seem to cluster at roughly 4 hr intervals. Phase shift responses following application of heat shock, ionizing radiation or serum pulses in each case show a pattern which is repeated twice in cells with an 8-9 hr modal generation time. We describe here a cell cycle model with an independent cellular clock controlling cell cycle events which accounts for the phase response data, while also reconciling the stochastic and periodic behaviour characteristic of animal cells.     

Fixation probability favors increased fecundity over reduced generation time

The cornerstone of population genetics is a probabilistic understanding of the ultimate fate--survival or extinction--of rare mutations. If a mutation is beneficial, it enables its carrier to reproduce faster than native wild-type individuals. In classic derivations and in the considerable body of research that has followed, "faster" has been defined mathematically to mean "able to produce more surviving offspring per generation." Many organisms, however, may increase their reproductive rate by producing the same number of offspring in a shorter generation time: a mutant bacterium, for example, may complete the cell cycle and produce two offspring more quickly than the wild type. We find that the ultimate fixation probability of a mutation conferring a shorter generation time differs from that of a mutation conferring more offspring by a factor of 2 ln(2)-nearly 40%. This predicts a reduction in the overall substitution rate for any mutation that decreases the generation time: fixation probability is biased toward increased offspring number.     

Distinguishing intrinsic limit cycles from forced oscillations in ecological time series

Ecological cycles are ubiquitous in nature and have triggered ecologists’ interests for decades. Deciding whether a cyclic ecological variable, such as population density, is part of an intrinsically emerging limit cycle or simply driven by a varying environment is still an unresolved issue, particularly when the only available information is in the form of a recorded time series. We investigate the possibility of discerning intrinsic limit cycles from oscillations forced by a cyclic environment based on a single time series. We argue that such a distinction is possible because of the fundamentally different effects that perturbations have on the focal system in these two cases. Using a set of generic mathematical models, we show that random perturbations leave characteristic signatures on the power spectrum and autocovariance that differ between limit cycles and forced oscillations. We quantify these differences through two summary variables and demonstrate their predictive power using numerical simulations. Our work demonstrates that random perturbations of ecological cycles can give valuable insight into the underlying deterministic dynamics.     

Nitroprusside attenuates myocardial stunning through reduced contractile delay and time

We hypothesized that myocardial stunning would be reversed through increased cyclic GMP caused by nitroprusside, and that this would be accomplished through a decreased proportion of regional work during diastole. Hearts were instrumented to measure left ventricular pressure, and regional myocardial mechanics were recorded using a miniature force transducer and ultrasonic dimension crystals in eight open-chest anesthetized dogs. Following baseline (CON), the left anterior descending coronary artery (LAD) was occluded for 15 min, followed by a 30-min recovery (STUN). Then intracoronary LAD infusion of sodium nitroprusside (NP) (4 microg/kg/ min) was begun. The time delay (msec) to regional shortening increased significantly from 18+/-13 to 73+/-13 following stunning, but was reduced to 49+/-18 by NP. Total regional work (g*mm/min) at baseline (1368+/-401 CON) was unchanged with stunning (1320+/-333 STUN), but reduced (961+/-240) following NP. Time to peak force development (msec) increased significantly with stunning from 284+/-13 (CON) to 333+/-11 (STUN), but was reduced to 269+/-12 following NP. The percentage work during systole was reduced from 96%+/-2% (CON) to 77%+/-7% (STUN), but returned to 98%+/-1% with NP. Regional O2 consumption was unaffected by either treatment. Cyclic GMP was unchanged by stunning (2.9+/-0.3-2.9+/-0.4 pmol/g) but increased significantly with NP (4.6+/-0.6). These data indicated that regional myocardial stunning could be attenuated by nitroprusside, which increased cyclic GMP, decreased contractile delay, increased the proportion of work done during systole, and reduced time of shortening.     

Abortion

Hot tar burns, although rare, usually occur in workers in the paving and roofing industries. When tar is heated to high temperatures it can cause deep burns, and its removal often causes further damage. However, the use of one of the polysorbates (surface-active agents) makes removal easy and painless.