Bioremediation is defined as a process, which involves decomposition of organic pollutant compounds available in soil and water resources into safe and eco-friendly materials, like water and CO2, by the microorganisms. In the present article, mathematical modeling of the bioremediation process was conducted comprehensively, and new models proposed for the microbial growth kinetics and substrate consumption (contaminant degradation). Accordingly, six kinetic models were suggested for the biomass growth and six models for the substrate consumption. Moreover, two models were considered for specific growth rate constant of the microorganisms. Then, model predictions were compared to and validated by the available experimental data in the literature. According to the obtained results, the microbial growth kinetic model, entitled as “MVKH2”, the substrate (contaminant) consumption model, entitled as “MVKH2s”, and the Aiba specific growth rate constant model had the best performance and the least error value in predicting the bioremediation process. Results achieved from this study are a promising beginning for practical and experimental works.

生物修复被定义为一种过程，其中涉及微生物将土壤和水资源中可用的有机污染物化合物分解为安全和环保的材料，例如水和二氧化碳。在本文中，对生物修复过程进行了数学建模，并提出了针对微生物生长动力学和底物消耗（污染物降解）的新模型。因此，建议了六个动力学模型用于生物量增长，六个模型用于底物消耗。此外，考虑了两种模型的微生物的特定生长速率常数。然后，将模型预测与文献中的可用实验数据进行比较并进行验证。根据获得的结果，微生物生长动力学模型称为“MVKH2 ”，称为底物（污染物）的消耗模型（称为“ MVKH2s ”）和Aiba比生长速率常数模型在预测生物修复过程中具有最佳的性能和最小的误差值。这项研究获得的结果是实践和实验工作的有希望的开始。