Vadasz Peter, Vadasz Alisa S
College of Engineering and Natural Sciences, Northern Arizona University, P.O.Box 15600, Flagstaff, AZ 86011-5600, USA.
Int J Food Microbiol. 2007 Mar 20;114(3):357-65. doi: 10.1016/j.ijfoodmicro.2006.10.010. Epub 2006 Nov 30.
An autonomous version of Baranyi and Roberts model (Int. J. Food Microbiology, 23, 1994, pp. 277-294) is developed and analyzed to reveal some subtle points, which are difficult to observe accurately from its equivalent non-autonomous form. In particular we are able to provide a meaningful interpretation to the "physiological state of the cells at inoculation", a parameter introduced by Baranyi and Roberts [Baranyi, J., Roberts, T. A., 1994. A dynamic approach to predicting bacterial growth in food. International Journal of Food Microbiology 23, 277-294] that has a profound impact on microbial growth but is not a direct measurable quantity. In addition, the analysis shows that the transient growth depends on the initial cell concentration and the initial growth rate, but is independent of "the history of the cells" and depends only indirectly (via the initial growth rate) on the previous (pre-inoculation) environment. The stationary solution is independent of the initial conditions. A new, more natural, and biologically meaningful formulation of LAG duration is being suggested in terms of initial conditions being in the neighborhood of one of the unstable stationary points revealed by this autonomous version of the model.
开发并分析了Baranyi和Roberts模型（《国际食品微生物学杂志》，第23卷，1994年，第277 - 294页）的自治版本，以揭示一些难以从其等效的非自治形式中准确观察到的细微之处。特别是，我们能够对“接种时细胞的生理状态”给出有意义的解释，这是Baranyi和Roberts [Baranyi, J., Roberts, T. A., 1994. 一种预测食品中细菌生长的动态方法。《国际食品微生物学杂志》23, 277 - 294] 引入的一个参数，它对微生物生长有深远影响，但不是一个直接可测量的量。此外，分析表明，瞬态生长取决于初始细胞浓度和初始生长速率，但与“细胞的历史”无关，并且仅间接（通过初始生长速率）取决于先前（接种前）的环境。稳态解与初始条件无关。根据该模型自治版本揭示的不稳定稳态点之一附近的初始条件，提出了一种新的、更自然且具有生物学意义的滞后持续时间公式。
