A discrete stochastic model for oil migration in chocolate-coated confectionery

Journal of Food Engineering

Volumn 119, Issue 3, 2013, Pages 602-610

  Van Der Weeën, Pieter ^a   De Clercq, Nathalie ^a   Baetens, Jan M ^a   Delbaere, Claudia ^a   Dewettinck, Koen ^a   De Baets, Bernard ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Cellular automata; Chocolate Oil migration; Simulation; Stochastic model

Indexed keywords

CAPILLARY RISE; DISCRETE STOCHASTIC MODELS; EFFECTIVE DIFFUSION COEFFICIENTS; EXPERIMENTAL DATUM; MATHEMATICAL SIMULATION MODEL; MODEL-BASED OPC; OIL MIGRATION; SIMULATION;

CELLULAR AUTOMATA; COMPUTER SIMULATION; DIFFUSION; STOCHASTIC MODELS;

BLOOMS (METAL);

EID: 84880338615     PISSN: 02608774     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfoodeng.2013.06.031     Document Type: Article

References (52)

1. J.M. Aguilera, M. Michel, and G. Mayor Fat migration in chocolate: diffusion or capillary flow in a particulate solid? A hypothesis paper Journal of Food Science 69 2004 167 174
2. P. Altamiras, L. Pyle, and P. Bouchon Structure-fat migration relationships during storage of cocoa butter model bars: bloom development and possible mechanisms Journal of Food Engineering 80 2007 600 610 (Pubitemid 44879707)
3. J.M. Baetens, and B. De Baets Cellular automata on irregular tessellations Dynamical Systems 27 2012 411 430
4. J.M. Baetens, P. Van der Weeën, and B. De Baets Effects of asynchronous updating in cellular automata Chaos, Solitons & Fractals 45 2012 383 394
5. O. Bandman Cellular-neural automaton: a hybrid model for reaction-diffusion simulation Future Generation Computer Systems 18 2002 737 745 (Pubitemid 34613889)
6. O. Bandman Theory and Applications of Cellular Automata 2008 Luniver Press United Kingdom pp. 381-397 (Chapter Mapping physical phenomena onto CA-models)
7. L. Berec Techniques of spatially explicit individual-based models: construction, simulation and mean-field analysis Ecological Modelling 150 2002 55 81 (Pubitemid 34455289)
8. S.G. Berjak, and J.W. Hearne An improved cellular automaton model for simulating fire in a spatially heterogeneous Savanna system Ecological Modelling 148 2002 133 151 (Pubitemid 34215649)
9. C.G. Chase Fluvial landsculpting and the fractal dimension of topography Geomorphology 5 1992 39 57 (Pubitemid 23371833)
10. B. Chopard, and M. Droz Cellular Automata Modeling of Physical Systems 1998 University Press Cambridge, United Kingdom
11. De Clercq, N., 2011. Changing the Functionality of Cocoa Butter. Ph.D. Thesis. Ghent University.
12. D. di Caprio, C. Vautrin-Ul, J. Stafiej, J. Saunier, A. Chaussé, D. Féron, and J.P. Badiali Morphology of corroded surfaces: contribution of cellular automaton modelling Corrosion Science 53 2011 418 425
13. S. El Yacoubi, and A. El Jai Cellular automata and spreadability Mathematical and Computer Modelling 36 2002 1059 1074
14. J.R. Galdámez, K. Szlachetka, J.L. Duda, and G.R. Ziegler Oil migration in chocolate: a case of non-Fickian diffusion Journal of Food Engineering 92 2009 261 268
15. V. Ghosh, G.R. Ziegler, and R.C. Anantheswaran Fat, moisture, and ethanol migration through chocolates and confectionary coatings Critical Reviews in Food Science and Nutrition 42 2002 583 626 (Pubitemid 39649735)
16. N.S. Hanspal, A.N. Waghode, V. Nassehi, and R.J. Wakeman Development of a predictive mathematical model for coupled Stokes/Darcy flows in cross-flow membrane filtration Chemical Engineering Journal 149 2009 132 142
17. R.W. Hartel Chocolate: fat bloom during storage The influence of structural elements. The Manufacturing Confectioner 79 1999 89 99
18. A. Ilachinski Cellular Automata, A Discrete Universe 2001 World Scientific London, United Kingdom
19. R.S. Khan, and D. Rousseau Hazelnut oil migration in dark chocolate - kinetic, thermodynamic and structural considerations European Journal of Lipid Science and Technology 108 2006 434 443 (Pubitemid 43835842)
20. L. Kier, P. Seybold, and C. Cheng Modelling Chemical Systems using Cellular Automata 2005 Springer Dordrecht, The Netherlands
21. J. Kleinert Etude sur la formation du blanchiment gras et les moyens propres à le retarder International Chocolate Review 16 1961 345 368
22. M. Kuntz, P. Lavallee, and J.C. Mareschal Determination of elastic properties of very heterogeneous media with cellular automata Journal of Geophysical Research: Solid Earth 102 1997 7647 7658
23. K.T. Lee, and O.W. Koon Modified shrinking unreacted-core model for the reaction between sulfur dioxide and coal fly ash/CaO/CaSO(4) sorbent Chemical Engineering Journal 146 2009 57 62
24. A. Lejeune, J. Perdang, and J. Richert Application of cellular automata to n-body systems Physical Review E 60 1999 2601 2611 (Pubitemid 129691440)
25. C. Loisel, G. Lecq, G. Ponchel, G. Keller, and M. Ollivon Fat bloom and chocolate structure studied by mercury porosimetry Journal of Food Science 62 1997 781 788 (Pubitemid 28165160)
26. P. Lonchampt, and R.W. Hartel Fat bloom in chocolate and compound coatings European Journal of Lipid Science and Technology 106 2004 241 274 (Pubitemid 38648591)
27. D. Ma, and M. Shao Simulating infiltration into stony soils with a dual-porosity model European Journal of Soil Science 59 2008 950 959
28. D. Mallet, and L. De Pillis A cellular automata model of tumor-immune system interactions Journal of Theoretical Biology 239 2006 334 350
29. R.C. Martins, and V.V. Lopes Modelling supercooling in frozen strawberries: experimental analysis, cellular automation and inverse problem methodology Journal of Food Engineering 80 2007 126 141 (Pubitemid 44739109)
30. J. Matsukidaira, and K. Nishinari Euler-Lagrange correspondence of cellular automaton for traffic-flow models Physical Review Letters 90 2003 088701
31. M.E. Miquel, S. Carli, P.J. Couzens, H.J. Wille, and L.D. Hall Kinetics of the migration of lipids in composite chocolate measured by magnetic resonance imaging Food Research International 34 2001 773 781 (Pubitemid 32943837)
32. T. Motwani, W. Hanselmann, and R.C. Anantheswaran Diffusion, counter-diffusion and lipid phase changes occurring during oil migration in model confectionery systems Journal of Food Engineering 104 2011 186 195
33. H. Niederreiter Low-discrepancy and low-dispersion sequences Journal of Number Theory 30 1998 51 70
34. J.R. Philip The infiltration joining problem Water Resources Research 23 1987 2239 2245
35. C. Picioreanu, M. van Loosdrecht, and J. Heijnen Mathematical modelling of biofilm structure with a hybrid differential-discrete cellular automaton approach Biotechnology and Bioengineering 58 1998 101 116 (Pubitemid 28103346)
36. L. Preziosi Modelling and Simulation 2003 Chapman & Hall Boca Raton, United States
37. T. Reichenbach, M. Mobilia, and E.J. Frey Self-organization of mobile populations in cyclic competition Journal of Theoretical Biology 254 2008 368 383
38. R.L. Romero, O.M. Alfano, and A.E. Cassano Photocatalytic reactor employing titanium dioxide: from a theoretical model to realistic experimental results Industrial & Engineering Chemistry Research 48 2009 10456 10466
39. J. Schiff Cellular Automata: A Discrete View of the World 2008 John Wiley & Sons Ltd. Chichester, United Kingdom
40. T. Toffoli Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics Physica D 10 1984 117 127 (Pubitemid 15467256)
41. P. Van der Weeën, J.M. Baetens, and B. De Baets Design and parameterization of a stochastic cellular automaton describing a chemical reaction Journal of Computational Chemistry 32 2011 1952 1961
42. Z. Vasilkoski, and C.D. Weaver A generator of protein folding kinetics states for the diffusion-collision model Journal of Computational Chemistry 21 2000 923 932
43. C. Vautrin-Ul, H. Mendy, A. Taleb, A. Chaussé, J. Stafiej, and J.P. Badiali Numerical simulations of spatial heterogeneity formation in metal corrosion Corrosion Science 50 2008 2149 2158
44. J. von Neumann Cerebral Mechanisms in Behaviour: The Hixon Symposium 1951 Wiley New York, United States pp. 1-32 (Chapter The general and logical theory of automata)
45. E.W. Washburn The dynamics of capillary flow Physical Reviews 17 1921 273 283
46. J.R. Weimar, J.J. Tyson, and L.T. Watson Diffusion and wave propagation in cellular automata models for excitable media Physica D 55 1992 309 327
47. S. Wolfram Statistical mechanics of cellular automata Reviews of Modern Physics 55 1983 601 644
48. S. Wolfram A New Kind of Science 2002 Wolfram Media Inc. Champaign, United States
49. B. Wünderlich Thermal Analysis 1990 Academic Press New York
50. L. Yu, and D. Qi Applying multifractal spectrum combined with fractal discrete Brownian motion model to wood defects recognition Wood Science and Technology 45 2011 511 519
51. G. Ziegleder, and I. Schwingshandl Kinetics of fat migration within chocolate products. Part III: fat bloom Fett-Lipid 100 1998 411 415
52. G.R. Ziegler, A. Shetty, and R.C. Anantheswaran Nut oil migration through chocolate Manufacturing Confectioner 84 2004 118 126