Towards a novel class of predictive microbial growth models

Mathematical modeling of microbial growth in milk

“…In this study, a system composed by two differential equations was employed. The first differential equation consists of the most elementary model building block describing microbial evolution ( VAN IMPE et al, 2005) and is written as:…”

Quantitative prediction of microbial behaviour during food processing using an integrated modelling approach: a review

“…The Baranyi model is widely used for a number of reasons: (i) it is easy to use, (ii) it is applicable under dynamic environmental conditions, (iii) it has a good fitting capacity, and (iv) most of the model parameters are biologically interpretable. However, some authors have pointed out the fact that contrary to the adjustment function, the inhibition function is not mechanistically inspired [14,15].…”

“…Impe et al model [14]. Van Impe et al [14] and Poschet et al [15] proposed a new class of models with the following properties:…”

“…Stationary phase behaviour is induced through an increasing toxic product accumulation and/or substrate exhaustion and can be attained at any population level. This is in contrast with many predictive models that, based on experimental data, impose a mathematical structure that prespecifies a fixed maximum population density [14].…”

Study on the application of an interspecific competition model for the prediction of microflora behaviour during the fermentation process of S. Angelo PGI salami

“…Some authors modelled bacterial competition as a function of metabolic product with particular regard to lactic acid (Vereecken et al 2003;Van Impe et al 2005) or bacteriocin (Leroy et al 2005). Giménez and Dalgaard (2004) modelled interspecific bacterial competition introducing a term into a conventional primary predictive model, which gives account for the interaction between two populations, so that they inhibit each other to the same extent that they inhibit their own growth.…”