Deriving fractional rate of degradation of logistic-exponential (LE) model to evaluate early in vitro fermentation

• DOI: 10.1017/s1751731112002443
• Publication Date: 2013-01-07T10:05:10Z
• Authors: M. Wang; X.Z. Sun; S.X. Tang; Z.L. Tan; D. Pacheco
• Keywords: Lag time; Logistic function; Incubation period

Water-soluble components of feedstuffs are mainly utilized during the early phase microbial fermentation, which could be deemed an important determinant gas production behavior in vitro. Many studies proposed that fractional rate degradation (FRD) estimated by fitting curves to mathematical models might used characterize incubation for vitro systems. In this study, concept FRD was developed on basis Logistic-Exponential (LE) model, with initial volume being zero (LE0). The LE0 model exhibits a continuous increase from (FRD0) toward final asymptotic value (FRDF) longer time. relationships between and at times 2, 4, 6, 8, 12 24 h were compared four models, addition LE0, Generalization Mitscherlich (GM), cth order Michaelis–Menten (MM) Exponential discrete LAG (EXPLAG). A total 94 subsets wide range different laboratories periods testing. Results indicated GM, MM EXPLAG consistently had stronger correlations across subsets, especially 8 h. Thus, provide better representation fermentation rates. Furthermore, FRD0 also exhibited strong (P < 0.05) 6 all subsets. summary, provides alternative quantify stage incubation, its starting parameter rate.