scholarly journals Non-Poisson renewal events and memory

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
Rohisha Tuladhar ◽  
Mauro Bologna ◽  
Paolo Grigolini
Keyword(s):  
2011 ◽  
Vol 41 (1) ◽  
pp. 205-220 ◽  
Author(s):  
Fabrice Veron ◽  
W. Kendall Melville ◽  
Luc Lenain

Abstract The air–sea exchange of heat is mainly controlled by the molecular diffusive layer adjacent to the surface. With an order of magnitude difference between the kinematic viscosity and thermal diffusivity of water, the thermal sublayer is embedded within its momentum analog: the viscous sublayer. Therefore, the surface heat exchange rates are greatly influenced by the surface kinematics and dynamics; in particular, small-scale phenomena, such as near-surface turbulence, have the greatest potential to affect the surface fluxes. Surface renewal theory was developed to parameterize the details of the turbulent transfer through the molecular sublayers. The theory assumes that turbulent eddies continuously replace surface water parcels with bulk fluid, which is not in equilibrium with the atmosphere and therefore is able to transfer heat. The so-called controlled-flux technique gives direct measurements of the mean surface lifetime of such surface renewal events. In this paper, the authors present results from field experiments, along with a review of surface renewal theory, and show that previous estimates of air–sea scalar fluxes using the controlled-flux technique may be erroneous if the probability density function (PDF) of surface renewal time scales is different from the routinely assumed exponential distribution. The authors show good agreement between measured and estimated heat fluxes using a surface renewal PDF that follows a χ distribution. Finally, over the range of forcing conditions in these field experiments, a clear relationship between direct surface turbulence measurements and the mean surface renewal time scale is established. The relationship is not dependent on the turbulence generation mechanism. The authors suggest that direct surface turbulence measurements may lead to improved estimates of scalar air–sea fluxes.


2010 ◽  
Vol 122 (1-4) ◽  
pp. 1-10 ◽  
Author(s):  
Cara C. Manning ◽  
Roberta C. Hamme ◽  
Annie Bourbonnais

2005 ◽  
Vol 35 (5) ◽  
pp. 897-901 ◽  
Author(s):  
Michael W. Stacey ◽  
S. Pond

Abstract A two-dimensional (i.e., laterally averaged) numerical model of the circulation in Burrard Inlet and Indian Arm near British Columbia, Canada, is used to examine the sensitivity of deep-water renewal events in Indian Arm to the turbulent mixing in the lee of the narrow sills in Burrard Inlet. Horizontal variations in the flow field can have an important influence on the production of turbulent kinetic energy near the sills and therefore also on the renewal events in Indian Arm. An ad hoc modification to the expression for the production of turbulent kinetic energy, required to obtain an acceptable simulation downstream of Second Narrows in Burrard Inlet, also results in a reasonable simulation of the observed circulation in Indian Arm. The modified laterally averaged model can reproduce the main features of the circulation away from the narrow sills. However, it seems that a three-dimensional model will be required if the circulation is to be simulated with greater accuracy and without the ad hoc modification, which has a free parameter.


2001 ◽  
Vol 38 (02) ◽  
pp. 554-569 ◽  
Author(s):  
John L. Spouge

Consider a renewal process. The renewal events partition the process into i.i.d. renewal cycles. Assume that on each cycle, a rare event called 'success’ can occur. Such successes lend themselves naturally to approximation by Poisson point processes. If each success occurs after a random delay, however, Poisson convergence may be relatively slow, because each success corresponds to a time interval, not a point. In 1996, Altschul and Gish proposed a finite-size correction to a particular approximation by a Poisson point process. Their correction is now used routinely (about once a second) when computers compare biological sequences, although it lacks a mathematical foundation. This paper generalizes their correction. For a single renewal process or several renewal processes operating in parallel, this paper gives an asymptotic expansion that contains in successive terms a Poisson point approximation, a generalization of the Altschul-Gish correction, and a correction term beyond that.


2008 ◽  
Vol 18 (09) ◽  
pp. 2681-2691 ◽  
Author(s):  
PAOLO PARADISI ◽  
PAOLO GRIGOLINI ◽  
SIMONE BIANCO ◽  
OSMAN C. AKIN

The statistical properties of sequences of Waiting Times generated by Non-Homogeneous Poisson Processes are investigated by means of Renewal Aging, i.e. a statistical analysis being able to detect the presence of genuine renewal events with non-Poisson statistics. The Renewal Aging features of two non-homogeneous Poisson models with different prescriptions of the rate modulation are compared. Both prescriptions are essentially periodic. In the first model, the rate is a totally deterministic and smooth harmonic function. In the second model, the rate modulation is deterministic and smooth almost everywhere, except in some singular points occurring with a periodicity affected by weak random fluctuations. The main parameter of both models is the modulation speed, defined as the ratio between the modulation period and the average Waiting Time. This allows to distinguish between slow, intermediate and fast modulation of the rate. As expected, in the very slow modulation case both models have a strongly reduced Renewal Aging, practically zero, because the analysis is affected by local clusters of Waiting Times with the same Poisson rate. In the intermediate range of modulation speeds, both models show non-zero Renewal Aging and the behavior of the two models tends to be more different as the modulation speed decreases. Going towards the fast modulation regime, the behavior of the two models becomes completely different from one another. Model I does not show a definite global Renewal Aging. On the time scale of the modulation period, local oscillations arise in the Probability Density Function and an apparent oscillating aging is also observed. However, this form of aging is not the manifestation of genuine renewal non-Poisson events, but it is related to the local oscillations. On the contrary, Model II displays Renewal Aging features in agreement with a homogeneous Renewal non-Poisson Process. It is argued that this is related to the singular points in the rate modulation of Model II, which, due to their random occurrence, could be identified with genuine critical non-Poisson events. The approach presented here could have interesting applications in problems involving dichotomous noise and, in particular, in the statistical characterization of ON–OFF fluorescence intermittency experimentally observed in complex systems, such as nano-crystals and single bio-molecules stimulated by laser fields.


2009 ◽  
Vol 262 (1-4) ◽  
pp. 50-61 ◽  
Author(s):  
Murray B. Hay ◽  
Stephen E. Calvert ◽  
Reinhard Pienitz ◽  
Audrey Dallimore ◽  
Richard E. Thomson ◽  
...  

1973 ◽  
Vol 2 (6) ◽  
pp. 17-17
Author(s):  
Pierre Woog
Keyword(s):  

Blood ◽  
2005 ◽  
Vol 106 (11) ◽  
pp. 795-795
Author(s):  
Brad Dykstra ◽  
John Ramunas ◽  
David Kent ◽  
Lindsay McCaffrey ◽  
Erin Szumsky ◽  
...  

Abstract Recently described strategies for isolating nearly pure populations of hematopoietic stem cells (HSCs) from normal adult mouse bone marrow (BM) offer new opportunities to identify previously unrecognized properties of HSCs Unfortunately, most phenotypic markers thus far found to characterize HSCs are not tightly linked to the functional potential of these cells but, instead, vary independently when their activation status is altered. Here we describe the results of experiments in which single CD45+Lin-Rho-SP adult mouse BM cells were micromanipulated into microwells of a specially designed silicone array and were monitored in real time (every 3 min) for a total of 4 days by high resolution digital time lapse photography to track the behavior of each cell and its clonal progeny. During this time, the cells were maintained at 37°C in a feeder-free, serum-free medium supplemented with 300 ng/mL SF, 20 ng/mL IL-11, and 1ng/mL Flt3-L. Under these conditions, 64 of 66 input cells divided at least once, and 63 divided at least twice. Only 2/715 cells tracked died. Final clones varied in size from 1-92 cells, corresponding to 0–7 cell cycles. The initial division occurred after 41±12 hr, and the 2nd and 3rd divisions another 18±5 and 16±4 hr later. Synchrony of sister cell divisions within clones and the presence of cells displaying uropodia (lagging protrusions) or lamellipodia (leading protrusions) were common. HSC activity in 83 initial CD45+Lin-Rho-SP cells or the 66 derived clones was assessed by transplanting these individually into sublethally irradiated Ly5-congenic W41/W41 recipients, which were then analyzed for longterm, multilineage, donor-derived WBCs (>1% @ 16 wk). 33% (27/83), of the initial cells were HSCs (producing 1–84% of WBCs @ 16 wk) and 27% (18/66) of the 4-day clones had HSC activity (2–83% of WBCs @ 16 wk), showing that many input HSCs had executed self-renewal divisions. Cells in clones containing HSCs had longer 1st, 2nd, and 3rd cycle times compared to cells within non-repopulating clones (5.4±2.3 hr, 3.7±1.0 hr, and 2.8±0.6 hr longer, respectively, p<.02 for each) and the cumulative time to the 3rd division was on average, 12±2 hr longer (p<.001) for cells in clones with HSCs. Similarly, clones containing HSCs underwent fewer divisions overall (3.2±0.2 vs 4.2±0.2, p=.003) and were therefore smaller (10±1 vs 26±3 cells, p<.001). All 24 clones in which >50% of cells had a cumulative time to their 3rd division of ≤ 65.3 hr (ie, < mean - 0.5 SD) lacked HSC activity. However, neither of the 2 cells that did not divide in the 4-day period were HSCs. The 22 clones in which all cells displayed uropodia within the final 12 hr of culture also lacked HSCs. Combined, these parameters allowed the 18 HSC-containing clones to be identified in a subset of 30 out of the original 66; ie, 2x more frequently. To test the validity of these parameters for predicting HSC-containing clones, a 2nd experiment was performed and similarly analyzed. In this case, these parameters identified 5 HSC-containing clones in a subset of 34 out of an original total of 76, again a 2-fold increase. These studies illustrate the potential of this novel monitoring system to detect new features of proliferating HSCs that are predictive of self-renewal events.


2001 ◽  
Vol 38 (2) ◽  
pp. 554-569 ◽  
Author(s):  
John L. Spouge

Consider a renewal process. The renewal events partition the process into i.i.d. renewal cycles. Assume that on each cycle, a rare event called 'success’ can occur. Such successes lend themselves naturally to approximation by Poisson point processes. If each success occurs after a random delay, however, Poisson convergence may be relatively slow, because each success corresponds to a time interval, not a point. In 1996, Altschul and Gish proposed a finite-size correction to a particular approximation by a Poisson point process. Their correction is now used routinely (about once a second) when computers compare biological sequences, although it lacks a mathematical foundation. This paper generalizes their correction. For a single renewal process or several renewal processes operating in parallel, this paper gives an asymptotic expansion that contains in successive terms a Poisson point approximation, a generalization of the Altschul-Gish correction, and a correction term beyond that.


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