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Mathematical model for Trametes versicolor growth in submerged cultivation

机译：淹没栽培中杂色云母生长的数学模型

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摘要

Trametes versicolor is a white-rot fungus known as a producer of extracellular enzymes such as laccase, manganese-peroxidase, and lignin-peroxidase. The production of these enzymes requires detailed knowledge of the growth characteristics and physiology of the fungus. Submerged cultivations of T. versicolor on glucose, fructose, and sucrose as sole carbon sources were performed in shake flasks. Sucrose hydrolysis catalyzed by the whole cells of T. versicolor was considered as one-step enzymatic reaction described with Michaelis-Menten kinetics. Kinetic parameters of invertase-catalyzed sucrose hydrolysis were estimated (K_m = 7.99 g dm~(-3) and V_m = 0.304 h~(-1)). Monod model was used for description of kinetics of T. versicolor growth on glucose and fructose as sole carbon sources. Growth associated model parameters were estimated from the experimental results obtained by independent experiments (μ_(max)~G= 0.14h~(-1),K_S~G = 8.06 g dm~(-3), μ_(max)~F = 0.37 h~(-1) and K_S~F = 54.8 g dm~(-3)). Developed mathematical model is in good agreement with the experimental results.
机译：云芝Trametes versicolor是一种白腐菌，被称为胞外酶（如漆酶，锰过氧化物酶和木质素过氧化物酶）的生产者。这些酶的产生需要真菌的生长特性和生理的详细知识。在摇瓶中进行葡萄糖，果糖和蔗糖作为唯一碳源的杂色丁香的深层培养。被杂色丁香全细胞催化的蔗糖水解被认为是用米利斯-门腾动力学描述的一步酶促反应。估计了转化酶催化蔗糖水解的动力学参数（K_m = 7.99 g dm〜（-3）和V_m = 0.304 h〜（-1））。 Monod模型用于描述杂色丁香在葡萄糖和果糖作为唯一碳源时的生长动力学。从独立实验获得的实验结果估计与生长相关的模型参数（μ_（max）〜G = 0.14h〜（-1），K_S〜G = 8.06 g dm〜（-3），μ_（max）〜F = 0.37 h〜（-1）和K_S〜F = 54.8 g dm〜（-3））。建立的数学模型与实验结果吻合良好。

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