Identification of droplet breakage kernel for population balance modelling

Patruno, L.E.; Dorao, Carlos Alberto; Dupuy, P.M.; Svendsen, Hallvard F.; Jakobsen, Hugo A.

doi:10.1016/j.ces.2008.05.015

Cited by 29 publications

(21 citation statements)

References 9 publications

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“…(Mahoney et al, 2002; Muralidar and Ramkrishna, 1986; Muralidar and Ramkrishna, 1989; Patruno et al, 2008; Patruno et al, 2009; Sathyagal et al, 1995; Wright and Ramkrishna, 1992). While these studies can provide invaluable guidance, their methods cannot be directly applied to address the challenges of inverse problems resulting from cell population balance models.…”

Section: Solving the Inverse Problemmentioning

confidence: 99%

Single-cell behavior and population heterogeneity: Solving an inverse problem to compute the intrinsic physiological state functions

Spetsieris

Zygourakis

2012

Journal of Biotechnology

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The dynamics of isogenic cell populations can be described by cell population balance models that account for phenotypic heterogeneity. To utilize the predictive power of these models, however, we must know the rates of single-cell reaction and division and the bivariate partition probability density function. These three intrinsic physiological state (IPS) functions can be obtained by solving an inverse problem that requires knowledge of the phenotypic distributions for the overall cell population, the dividing cell subpopulation and the newborn cell subpopulation. We present here a robust computational procedure that can accurately estimate the IPS functions for heterogeneous cell populations. A detailed parametric analysis shows how the accuracy of the inverse solution is affected by discretization parameters, the type of non-parametric estimators used, the qualitative characteristics of phenotypic distributions and the unknown partitioning probability density function. The effect of finite sampling and measurement errors on the accuracy of the recovered IPS functions is also assessed. Finally, we apply the procedure to estimate the IPS functions of an E. coli population carrying an IPTG-inducible genetic toggle network. This study completes the development of an integrated experimental and computational framework that can become a powerful tool for quantifying single-cell behavior using measurements from heterogeneous cell populations.

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Section: Solving the Inverse Problemmentioning

confidence: 99%

Single-cell behavior and population heterogeneity: Solving an inverse problem to compute the intrinsic physiological state functions

Spetsieris

Zygourakis

2012

Journal of Biotechnology

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“…Jakobsen (2008), and Patruno et al (2009c) outline the mathematical description of such behaviour within a population balance framework.…”

Section: Liquid Fragmentationmentioning

confidence: 99%

SS: High Pressure Gas Liquid Separation: Scrubber Separation - Droplet Entrainment in High Pressure Gas Liquid Separation

Patruno¹,

Marchetti²,

Dorao³

et al. 2010

Proceedings of Offshore Technology Conference

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This work presents experimental results on droplet entrainment in two different geometries: a stratified liquid film, and a wire flooded by liquid. The experiments feature the system pressure ranging from 900 to 1600 kPa (130 to 220 psia) and surface tension of the system in the lower range of 24 mN/m.The resulting droplet size distribution after a liquid entrainment event plays a major role in the modeling of the gas liquid scrubbers. When a mesh pad-based separator gets flooded, the high speed gas running throughout the mesh can reentrain the liquid and carry over liquid droplets into the dry gas processing facility.Conventional correlations for liquid entrainment overestimate the resulting droplet size as they were derived from higher surface tension systems. In addition, a correlation for the entire droplet size distribution is presented.

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“…Recently, Dorao et al 16 have shown the applicability of the least squares method (LSM) to solve the PBE directly. Since then, the method and its spectral element version have been successfully applied to study droplets 17 and bubbly flow 18 using the PBE. The aim of this work is to analyze the applicability of the PBE for predicting the evolution of the fiber breakage in polymer/short-fiber composite during capillary extrusion.…”

Section: Introductionmentioning

confidence: 99%

Novel Approach for Modeling the Dynamics of Fiber Breakage in Polymer Matrix Composites during Capillary Extrusion

et al. 2015

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ABSTRACT:In this work, a population balance equation (PBE) model is used to predict the evolution of the fiber breakage in thermoplastic polymer/short-fiber composites during capillary extrusion. The least squares spectral method was used to solve the resulting integrodifferential equation. The differences found between the experimental and simulated data were attributed to the selected breakage and redistribution functions. An experimental setup is proposed to find accurate breakage functions for this problem. The results indicate that the application of the PBE for such a breakage process could be a powerful tool for the design of injection molding molds. C 2015 Wiley Periodicals, Inc. Adv Polym Technol 2015, 0, 21635; View this article online at wileyonlinelibrary.com.

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Identification of droplet breakage kernel for population balance modelling

Cited by 29 publications

References 9 publications

Single-cell behavior and population heterogeneity: Solving an inverse problem to compute the intrinsic physiological state functions

Single-cell behavior and population heterogeneity: Solving an inverse problem to compute the intrinsic physiological state functions

SS: High Pressure Gas Liquid Separation: Scrubber Separation - Droplet Entrainment in High Pressure Gas Liquid Separation

Novel Approach for Modeling the Dynamics of Fiber Breakage in Polymer Matrix Composites during Capillary Extrusion

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