2017
DOI: 10.1016/j.foodhyd.2017.01.036
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Quantifying the consistency and rheology of liquid foods using fractional calculus

Abstract: It is well known that the perceived texture and consistency of liquid foods are strong drivers of consumer preference, yet quantification of these parameters is made complicated by the absence of a concise mathematical framework. In this paper, we demonstrate that fractional rheological models, including the fractional Maxwell model (FMM) and the fractional Jeffreys model (FJM), are potential candidates to fill this void as a result of their ability to succinctly and accurately predict the linear and nonlinear… Show more

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Cited by 44 publications
(29 citation statements)
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“…It should also be considered that the consistency assessment provided by these two instruments does not capture to complexity of the fluids prepared for the management of dysphagia. With elegant mathematical manipulations, Wagner et al () presented the complexity of the various components comprising the textural composition of thickened liquids. It is highly possible that the empirical measurements proposed thus far in the clinical management of dysphagia are too crude and cannot capture the high variability of prethickened liquids.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…It should also be considered that the consistency assessment provided by these two instruments does not capture to complexity of the fluids prepared for the management of dysphagia. With elegant mathematical manipulations, Wagner et al () presented the complexity of the various components comprising the textural composition of thickened liquids. It is highly possible that the empirical measurements proposed thus far in the clinical management of dysphagia are too crude and cannot capture the high variability of prethickened liquids.…”
Section: Discussionmentioning
confidence: 99%
“…Lastly, more fundamental viscosity measurements are not accessible to most clinicians or food production centers (Steele et al, 2015). The evidence suggests that thickened liquids prepared for the management of dysphagia are highly complex fluids with non-Newtonian characteristics (Hadde, Nicholson, & Cichero, 2015;Moret-Tatay, Rodríguez-García, Martí-Bonmatí, Hernando, & Hernández, 2015;Rofes, Arreola, Mukherjee, Swanson, & Clave, 2014;Vilardell, Rofes, Arreola, Speyer, & Clave, 2016;Wagner, Barbati, Engmann, Burbidge, & McKinley, 2017) namely due to their ingredient composition, pH, thickening agents, temperature of consumption, and preparation methods. Yet, it is possible that properties other than viscosity may have clinical relevance (Steele et al, 2015).…”
Section: Introductionmentioning
confidence: 99%
“…The weak power-law-like behavior of soft materials such as food gels and particulate gels can be better captured, in a phenomenological sense, by a spring-pot element, which interpolates between a spring and a dashpot. Such a spring-pot element, which was originally introduced by Scott Blair 80,81 and has recently been applied with success to a broad variety of soft viscoelastic materials 12,82 can be represented in terms of a fractional derivative that relates the stress σ and the strain γ as follows:…”
Section: B Fractional Kelvin-voigt Modelmentioning
confidence: 99%
“…In spite of the textural properties of liquid and semisolid foods have received less attention in comparison to meat and crunchy products, in which texture is a critical sensory attribute that may dominate their quality, the situation has been changing because of the aging of society. The growth of elderly population has leaded to an increasing number of individuals suffering from mastication and swallowing disorders, as dysphagia, and that require diets based on soft foods (Wagner, Barbati, Engmann, Burbidge, & McKinley, ). Texture evaluation of liquid and semisolid foods involves more than force, as obtained by texture analyzer.…”
Section: Introductionmentioning
confidence: 99%