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基于吉布斯自由能耗散计算自养和异养生物量产率的黑箱数学模型。

A black box mathematical model to calculate auto- and heterotrophic biomass yields based on Gibbs energy dissipation.

机构信息

Delft University of Technology, Department of Biochemical Engineering, 2628 BC Delft, The Netherlands.

出版信息

Biotechnol Bioeng. 1992 Dec 5;40(10):1139-54. doi: 10.1002/bit.260401003.

DOI:10.1002/bit.260401003
PMID:18601065
Abstract

On the basis of the estimated Gibbs energy dissipation per C-mol biomass produced and a convenient black box description of microbial growth, a general equation for the calculation of the yield of biomass on electron donor has been obtained. This black box model defines four formal electron donating reactions for biomass, carbon source, electron donor, and electron acceptor. The proposed description leads to a simple equation which gives the biomass yield on electron donor for chemotrophic growth systems under carbon and energy limitation for which biomass is the only anabolic product. The variables involved are the degrees of reduction and the Gibbs energy characteristics of the four compounds, and the required Gibbs energy dissipation per C-mol produced of biomass. It appears that biomass yields on electron donor for auto- and heterotrophic growth under aerobic, denitrifying, and fermentative conditions can be estimated with 10-15% error in a range of Y(DX)-values of 0.01-0.80 C-mol/(C)-mol electron donor. Also, simple regularities in the Gibbs energy and enthalpy of organic substrates are found. Furthermore, simple relations are derived to calculate the thermodynamic maximal biomass yield, conditions required for growth to occur, heat production, biomass yield on electron acceptor, and anaerobic product yield. Finally a new definition of thermodynamic efficiency is derived.

摘要

基于每产生 1 摩尔生物质的吉布斯自由能消耗估计值和对微生物生长的方便黑盒描述,我们获得了一种计算电子供体上生物质产率的通用方程。该黑盒模型定义了生物质、碳源、电子供体和电子受体的四个正式的电子供体反应。所提出的描述导致了一个简单的方程,该方程给出了在碳和能量限制下的化能营养生长系统中,生物质是唯一合成产物时,电子供体上的生物质产率。所涉及的变量是四种化合物的还原程度和吉布斯自由能特征,以及每摩尔产生的生物质所需的吉布斯自由能消耗。似乎可以用 10-15%的误差来估计在 0.01-0.80 C-mol/(C)-mol 电子供体范围内,自养和异养生长在需氧、反硝化和发酵条件下的电子供体上的生物质产率。此外,还发现有机底物的吉布斯自由能和焓具有简单的规律。此外,还推导出了计算热力学最大生物质产率、发生生长所需的条件、产热量、电子受体上的生物质产率和厌氧产物产率的简单关系。最后,推导出了热力学效率的新定义。

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