Basri Mahiran, Rahman Raja Noor Zaliha Raja Abd, Ebrahimpour Afshin, Salleh Abu Bakar, Gunawan Erin Ryantin, Rahman Mohd Basyaruddin Abd
Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.
BMC Biotechnol. 2007 Aug 30;7:53. doi: 10.1186/1472-6750-7-53.
Wax esters are important ingredients in cosmetics, pharmaceuticals, lubricants and other chemical industries due to their excellent wetting property. Since the naturally occurring wax esters are expensive and scarce, these esters can be produced by enzymatic alcoholysis of vegetable oils. In an enzymatic reaction, study on modeling and optimization of the reaction system to increase the efficiency of the process is very important. The classical method of optimization involves varying one parameter at a time that ignores the combined interactions between physicochemical parameters. RSM is one of the most popular techniques used for optimization of chemical and biochemical processes and ANNs are powerful and flexible tools that are well suited to modeling biochemical processes.
The coefficient of determination (R2) and absolute average deviation (AAD) values between the actual and estimated responses were determined as 1 and 0.002844 for ANN training set, 0.994122 and 1.289405 for ANN test set, and 0.999619 and 0.0256 for RSM training set respectively. The predicted optimum condition was: reaction time 7.38 h, temperature 53.9 degrees C, amount of enzyme 0.149 g, and substrate molar ratio 1:3.41. The actual experimental percentage yield was 84.6% at optimum condition, which compared well to the maximum predicted value by ANN (83.9%) and RSM (85.4%). The order of effective parameters on wax ester percentage yield were; respectively, time with 33.69%, temperature with 30.68%, amount of enzyme with 18.78% and substrate molar ratio with 16.85%, whereas R2 and AAD were determined as 0.99998696 and 1.377 for ANN, and 0.99991515 and 3.131 for RSM respectively.
Though both models provided good quality predictions in this study, yet the ANN showed a clear superiority over RSM for both data fitting and estimation capabilities.
蜡酯因其优异的润湿性,是化妆品、制药、润滑剂及其他化学工业中的重要成分。由于天然存在的蜡酯昂贵且稀缺,这些酯可通过植物油的酶促醇解来生产。在酶促反应中,研究反应体系的建模与优化以提高过程效率非常重要。传统的优化方法是一次改变一个参数,这忽略了物理化学参数之间的综合相互作用。响应面法(RSM)是用于化学和生化过程优化的最常用技术之一,而人工神经网络(ANNs)是强大且灵活的工具,非常适合生化过程建模。
人工神经网络训练集的实际响应与估计响应之间的决定系数(R2)和绝对平均偏差(AAD)值分别确定为1和0.002844,人工神经网络测试集为0.994122和1.289405,响应面法训练集分别为0.999619和0.0256。预测的最佳条件为:反应时间7.38小时,温度53.9摄氏度,酶量0.149克,底物摩尔比1:3.41。在最佳条件下实际实验产率百分比为84.6%,与人工神经网络预测的最大值(83.9%)和响应面法预测的最大值(85.4%)相比,吻合度良好。蜡酯产率百分比的有效参数顺序分别为:时间占33.69%,温度占30.68%,酶量占18.78%,底物摩尔比占16.85%,而人工神经网络的R2和AAD分别确定为0.99998696和1.377,响应面法的分别为0.99991515和3.131。
尽管在本研究中两种模型都提供了高质量的预测,但人工神经网络在数据拟合和估计能力方面均明显优于响应面法。