A Simple Probabilistic Model of Bubble Column

1992 ◽  
Vol 57 (5) ◽  
pp. 1043-1052
Author(s):  
Jana Vašáková ◽  
Jan Čermák

A probabilistic model of bubble column was derived from a deterministic model so that noncorrelated or autocorrelated noise was added at the column outlet. A pseudo-random binary series of maximum length - PRBS was used as input signal The effect of noise was observed in terms of impulse characteristics calculated by the correlation method from the responses of model to the PRBS input. The possibilities of PRBS when simulating the behaviour of bubble column were judged in the work, and the effect of magnitude of noise amplitude on the form of impulse characteristics was evaluated.

1991 ◽  
Vol 56 (6) ◽  
pp. 1238-1248
Author(s):  
Jana Vašáková ◽  
Jan Čermák

An axial dispersion model of a bubble column was verified by an experimental method based on pseudo-random binary signals of maximum length. The diameter of the column was 0.292 m and the height of the dispersion layer was 1.33 m. Water formed a stagnant liquid layer and a mixture of air with up to 5 vol.% of CO2 formed a streaming gas phase. The model was evaluated from the response of the bubble column to pseudo-random binary signals and from impulse characteristics calculated from this response by the correlation method. The use of the axial dispersion model with mass transfer was evaluated in dependence on the driving force.


Author(s):  
Hannele K. Zubeck ◽  
Ted S. Vinson

A deterministic model and a probabilistic model were developed to predict low-temperature crack spacing as a function of time using thermal stress restrained specimen test results, pavement thickness and bulk density, pavement restraint conditions, and air temperature. The effect of aging on pavement properties was incorporated in the models by predicting the field aging with long-term oven aging treatment in the laboratory. The calculation of the crack spacing is based on the theory that the pavement slab cracks when the pavement temperature reaches the cracking temperature of the mixture and the slab is fully restrained. The deterministic model predicts crack spacing with time, whereas the probabilistic model predicts crack spacing and its variation with time and yields the reliability of the design with regard to a minimum acceptable crack spacing criterion defined by road authorities. The probabilistic model is recommended for use in predicting the low-temperature cracking of asphalt concrete mixtures.


1995 ◽  
Vol 12 (1) ◽  
pp. 117-139 ◽  
Author(s):  
M.H. Rowe ◽  
L.A. Palmer

AbstractThe spatio-temporal receptive-field structure of 54 phasic W cells in cat retinas has been examined using the reverse-correlation method of Jones and Palmer (1987). Within this sample, 12 cells had on-center, 16 off-center, and 26 on-off receptive fields. Three of the on-center and seven of the on-off cells were directionally selective. Forty percent of the cells in this sample had local receptive fields consisting of two or more distinct subregions. However, no correlation was observed between the number of subregions in the local receptive field and other response properties such as center sign or direction selectivity. In all cases, individual subregions, including those in on-off cells, appear to be produced by a half-wave rectification of the input signal. For 76% of the cells, these local receptive fields were contained within large suppressive fields which could be seen to extend for at least 10 deg in all directions with no apparent spatial structure. The mechanism producing the suppressive field also appears to involve a rectification of the input signal, and has a relatively high spatial resolution. Furthermore, the suppressive field itself is only responsive to moving or flickering stimuli; large, stationary gratings have no effect on the output of the local receptive-field mechanism. Thus, the overall receptive-field organization of these cells is particularly well suited for detecting local motion. The remaining 24% of cells in the sample lacked suppressive fields, and consequently responded well to large moving stimuli, but these cells were otherwise similar in their receptive-field properties to cells with suppressive fields. The significance of these properties is discussed in the context of the projections of phasic W cells to the superior colliculus and accessory optic system.


Blood ◽  
2020 ◽  
Vol 136 (Supplement 1) ◽  
pp. 31-32
Author(s):  
Anuja Chatterjee ◽  
Gijs Van de Wetering ◽  
Ron Goeree ◽  
Anne Marie Desbois ◽  
Patricia Manzi ◽  
...  

OBJECTIVES: To estimate the cost-effectiveness of venetoclax + obinutuzumab (GAZYVA®, G), (VEN+G) in the treatment of first-line (1L) chronic lymphocytic leukemia (CLL) from a Canadian health care system cost perspective. METHODS: A three-state partitioned-survival model was used to extrapolate progression-free survival (PFS) and overall survival (OS) over a 10-year time horizon. Cost-effectiveness was estimated comparing 12-month fixed duration of VEN+G versus (vs) G + Chlorambucil (GClb) based on the CLL14 clinical trial (NCT02242942). Other comparators included Bendamustine + rituximab (BR), Chlorambucil + rituximab (Clb+R), Ibrutinib (Ibr), Acalabrutinib (Acala) and Acalabrutinib + GAZYVA (Acala+G). VEN+G was also compared to the combination of fludarabine, cyclophosphamide and rituximab (FCR) in the overall 1L CLL population which included unfit and fit patients. Relative efficacy of VEN+G vs other comparators was estimated using a network meta-analysis. Health state utilities and adverse event disutilities were derived from a systematic literature review and other published sources. Costs included CLL treatment, routine care and monitoring, adverse events, disease progression costs, subsequent treatment costs, and end of life care. Uncertainty was assessed using an underlying probabilistic model (probabilistic analysis of uncertainty generated from 5,000 iterations), through deterministic sensitivity analyses (i.e., one-way sensitivity analyses (OWSA)), and through a series of alternative scenario analyses. RESULTS: For the overall unfit 1L CLL patient population, the probabilistic total discounted costs incurred over a 10-year time horizon were as follows: $217,727 for VEN+G vs $312,287 for GClb, $399,219 for BR, $380,713 for Clb+R, $736,017 for Ibr, $868,797 for Acala and $916,139 for Acala+G. The probabilistic total discounted quality adjusted life years (QALYs) were 4.964 for VEN+G vs 4.750, 4.550, 4.422, 4.709, 5.269, and 5.359, respectively for the comparators. For the overall 1L CLL patient population, the probabilistic total discounted costs were $219,651 for VEN+G vs $312,570 for GClb, $342,195 for FCR, $397,262 for BR, $380,551 for Clb+R, $757,129 for Ibr, $868,388 for Acala, and $916,798 for Acala+G. The probabilistic total discounted QALYs were 5.888 for VEN+G vs 5.519, 5.067, 5.198, 5.073, 5.597, 6.259 and 6.380, respectively for the comparators. VEN+G was found to be less costly and more efficacious (i.e., dominant) compared to GClb, BR, Clb+R, Ibr and FCR. As a result, incremental cost utility ratios (ICERs) were not calculated for these comparators. Acala and Acala+G resulted in ICERs ranging from $1.4-$2.1 million per QALY gained relative to VEN+G, which is not cost-effective. Based on the probabilistic model and 5,000 simulations, VEN+G was found to be at least 97% cost-effective across all decision maker willingness-to-pay thresholds. The results from the deterministic model were found to be similar to the probabilistic model. Using the deterministic model, and in comparison to the most commonly prescribed treatment for 1L CLL in Canada (i.e., Ibr), the OWSA comparing VEN+G to Ibr found that the most influential variables in the model were the PFS and OS hazard ratios for Ibr and the utility values for PFS and post-progression survival. CONCLUSION: VEN+G is an effective novel fixed duration treatment option which leads to deep and durable responses for the treatment of patients with unfit 1L CLL and provides excellent value-for-money compared with existing chemoimmunotherapy and treat to progression novel combinations. Disclosures Chatterjee: Pharmerit: Current Employment. Van de Wetering:Pharmerit: Current Employment. Goeree:AbbVie Inc.: Consultancy. Desbois:AbbVie Inc.: Current Employment, Current equity holder in publicly-traded company. Manzi:AbbVie Inc.: Current Employment, Current equity holder in publicly-traded company. Manzoor:AbbVie: Current equity holder in publicly-traded company. Owen:AbbVie, F. Hoffmann-La Roche, Janssen, Astrazeneca, Merck, Servier, Novartis, Teva: Honoraria. Sail:AbbVie Inc.: Current Employment, Current equity holder in publicly-traded company.


2013 ◽  
Vol 7 ◽  
pp. 4465-4474 ◽  
Author(s):  
Abdellatif El Amraoui ◽  
Abdellah El Gharad ◽  
Mohammed Ouadi Bensalah

1976 ◽  
Vol 98 (1) ◽  
pp. 354-359 ◽  
Author(s):  
S. K. Hati ◽  
S. S. Rao

The mathematical programing techniques are applied to determine the optimum cutting parameters of machining operations. Three objectives, the cost of production per piece, the production rate, and the profit, are considered for optimization. The different constraints that arise during the machining operation are also considered. As some parameters involved in the process may not be purely deterministic, a probabilistic model is set up for the cost of production per piece and the production rate. After converting the probabilistic model into an equivalent deterministic model, the mathematical programing techniques are applied and the results obtained are compared with those of the deterministic model. A sensitivity analysis with respect to the cost parameters is carried in the case of cost of production per piece.


Author(s):  
D. E. Luzzi ◽  
L. D. Marks ◽  
M. I. Buckett

As the HREM becomes increasingly used for the study of dynamic localized phenomena, the development of techniques to recover the desired information from a real image is important. Often, the important features are not strongly scattering in comparison to the matrix material in addition to being masked by statistical and amorphous noise. The desired information will usually involve the accurate knowledge of the position and intensity of the contrast. In order to decipher the desired information from a complex image, cross-correlation (xcf) techniques can be utilized. Unlike other image processing methods which rely on data massaging (e.g. high/low pass filtering or Fourier filtering), the cross-correlation method is a rigorous data reduction technique with no a priori assumptions.We have examined basic cross-correlation procedures using images of discrete gaussian peaks and have developed an iterative procedure to greatly enhance the capabilities of these techniques when the contrast from the peaks overlap.


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