Arnaud J P, Lacroix C
Centre de Recherche STELA, Pavillon Paul Comtois, Universitá Laval, Ste Foy, Québec, G1K 7P4, Canada.
Biotechnol Bioeng. 1991 Nov;38(9):1041-9. doi: 10.1002/bit.260380913.
Effective diffusion coefficients (De) of lactose in kappa-carrageenan (2.75% wt/wt)/locust bean gum (0.25% wt/wt) (LBG) gel beads (1.5-2.0-mm diameter)with or without entrapped lactic acid bacteria (LAB) were determined at 40 degrees C. The effects of lactose concentration, bacteria strain (Streptococcus salivarius subsp. thermophilus and Lactobacillus casei subsp. casei) and cell content at various steps of the fermentation process (after immobilization, pre-incubation of the beads and successive fermentations) were measured on De as a first step for process modelling. Results were obtained from transiend concentration changes n well-stirred lactose solutions in which the beads were suspended. A mathematical model of unsteady-state diffusion in a sphere was used, and De was obtained from the best fit of the experimental data. Diffusivity of lactose in cell-tree beads was significantly lower than in pure water mainly because of the obstruction effect of the polymer chains and the hydration region. Furthermore, effective diffusivity and equilibrium partition factor were independent of lactose concentration in the range from 12.5 to 50 g/L. No significant difference was found for De (effective diffusivity) and Kp (partition) coefficients between beads entrapping S. thermophilus (approximately 5 x 10(9) CFU/mL) and cell-free beads. On the other hand higher cell counts obtained with L. casei (close to 1.8 x 10(11) CFU/mL) increased mass transfer resistance resulting in lower effective diffusivities and Kp. Finally, the effects of the type of bacteria and their distribution in the beads on the diffusivity were also discussed.
在40℃下测定了乳糖在κ-卡拉胶(2.75%重量/重量)/刺槐豆胶(0.25%重量/重量)(LBG)凝胶珠(直径1.5 - 2.0毫米)中的有效扩散系数(De),凝胶珠中有无包埋乳酸菌(LAB)。作为过程建模的第一步,测量了乳糖浓度、细菌菌株(嗜热链球菌唾液亚种和干酪乳杆菌干酪亚种)以及发酵过程各个步骤(固定化后、珠子预培养和连续发酵)的细胞含量对De的影响。结果来自于悬浮有凝胶珠的充分搅拌的乳糖溶液中瞬态浓度变化。使用了球体中非稳态扩散的数学模型,并通过实验数据的最佳拟合得到De。乳糖在无细胞珠子中的扩散率显著低于在纯水中的扩散率,主要是由于聚合物链和水化区域的阻碍作用。此外,在12.5至50克/升范围内,有效扩散率和平衡分配系数与乳糖浓度无关。包埋嗜热链球菌(约5×10⁹CFU/毫升)的珠子和无细胞珠子之间的De(有效扩散率)和Kp(分配)系数没有显著差异。另一方面,干酪乳杆菌获得的较高细胞数(接近1.8×10¹¹CFU/毫升)增加了传质阻力,导致有效扩散率和Kp降低。最后,还讨论了细菌类型及其在珠子中的分布对扩散率的影响。