Published 2024-08-15
Keywords
- Enzyme Kinetics,
- Michaelis-Menten Model,
- Kinetic Parameters,
- Adaptive Gaussian Process Regression,
- Nonlinear Patterns
How to Cite
Abstract
The Michaelis-Menten kinetics model plays a fundamental role in enzyme kinetics studies due to its ability to describe the rate of enzymatic reactions. However, traditional approaches to determine the kinetic parameters face limitations in accurately capturing the underlying complex biochemical dynamics. This paper addresses the current challenges in Michaelis-Menten kinetics research by leveraging Adaptive Gaussian Process Regression, a machine learning technique capable of adaptively learning complex nonlinear patterns. Our innovative approach offers a more flexible and data-driven method for estimating kinetic parameters, enhancing the accuracy and robustness of the model. By presenting a comprehensive analysis of the proposed method's performance, this study contributes to advancing the understanding and application of Michaelis-Menten kinetics in biochemical research.
References
- E. Davidson et al., "The Dual Arrhenius and Michaelis–Menten kinetics model for decomposition of soil organic matter at hourly to seasonal time scales," Global Change Biology, vol. 18, 2012.
- J. Swift et al., "Nutrient dose-responsive transcriptome changes driven by Michaelis–Menten kinetics underlie plant growth rates," Proceedings of the National Academy of Sciences of the United States of America, vol. 117, 2020.
- K. Nirmala et al., "Steady-State Substrate and Product Concentrations for Non- Michaelis-Menten Kinetics in an Amperometric Biosensor – Hyperbolic Function and PadéApproximants Method," International Journal of Electrochemical Science, 2020.
- D. German et al., "The Michaelis–Menten kinetics of soil extracellular enzymes in response to temperature: a cross‐latitudinal study," Global Change Biology, vol. 18, 2012.
- A. Heidari, "Novel experimental and three–dimensional (3D) multiphysics computational framework of michaelis–menten kinetics for catalyst processes innovation, characterization and carrier applications," Global Imaging Insights, 2019.
- R. Swaminathan, "Reaction/Diffusion Equation with Michaelis-Menten Kinetics in Microdisk Biosensor: Homotopy Perturbation Method Approach," International Journal of Electrochemical Science, 2019.
- P. Das et al., "Stochastic dynamics of Michaelis–Menten kinetics based tumor-immune interactions," Physica A-statistical Mechanics and Its Applications, vol. 541, 2020.
- J.-M. G. Rodriguez and M. Towns, "Research on Students' Understanding of Michaelis-Menten Kinetics and Enzyme Inhibition: Implications for Instruction and Learning," 2020.
- J. W. H. Leow and E. C. Y. Chan, "Atypical Michaelis-Menten kinetics in cytochrome P450 enzymes: a focus on substrate inhibition," Biochemical Pharmacology, 2019.
- F. Moyano et al., "Diffusion limitations and Michaelis–Menten kinetics as drivers of combined temperature and moisture effects on carbon fluxes of mineral soils," Biogeosciences, 2018.
- L. Tang et al., "Adaptive Gaussian Process Regression Based Remaining Useful Life Prediction of PEMFC Incorporating An Improved Health Indicator," 2022 IEEE 11th Data Driven Control and Learning Systems Conference (DDCLS), 2022.
- Y. Park and W. Chang, "A Personalized Dose‐Finding Algorithm Based on Adaptive Gaussian Process Regression," Pharmaceutical Statistics, 23, 2024.
- Y. Xiao, F. Yue, and X. Zhang, "Seismic Fragility Analysis of Structures Based on Adaptive Gaussian Process Regression Metamodel," Shock and Vibration, 2021.
- W. Guo et al., "Model Calibration Method for Soft Sensors Using Adaptive Gaussian Process Regression," IEEE Access, 7, 2019.
- P. Villani, J. F. Unger, and M. Weiser, "Adaptive Gaussian Process Regression for Bayesian inverse problems," arXiv.org, 2024.
- P. Semler and M. Weiser, "Adaptive Gaussian process regression for efficient building of surrogate models in inverse problems," Inverse Problems, 39, 2023.
- I. Yoshida, T. Nakamura, and S. Au, "Bayesian updating of model parameters using adaptive Gaussian process regression and particle filter," Structural Safety, 2023.
- F. Haselbeck, "Time Series Forecasting with Self-Adaptive Gaussian Process Regression," 2023.
- Z. Luo, H. Yan, and X. Pan, ‘Optimizing Transformer Models for Resource-Constrained Environments: A Study on Model Compression Techniques’, Journal of Computational Methods in Engineering Applications, pp. 1–12, Nov. 2023, doi: 10.62836/jcmea.v3i1.030107.
- H. Yan and D. Shao, ‘Enhancing Transformer Training Efficiency with Dynamic Dropout’, Nov. 05, 2024, arXiv: arXiv:2411.03236. doi: 10.48550/arXiv.2411.03236.
- H. Yan, ‘Real-Time 3D Model Reconstruction through Energy-Efficient Edge Computing’, Optimizations in Applied Machine Learning, vol. 2, no. 1, 2022.
- W. Cui, J. Zhang, Z. Li, H. Sun, and D. Lopez, ‘Kamalika Das, Bradley Malin, and Sricharan Kumar. 2024. Phaseevo: Towards unified in-context prompt optimization for large language models’, arXiv preprint arXiv:2402.11347.
- A. Sinha, W. Cui, K. Das, and J. Zhang, ‘Survival of the Safest: Towards Secure Prompt Optimization through Interleaved Multi-Objective Evolution’, Oct. 12, 2024, arXiv: arXiv:2410.09652. doi: 10.48550/arXiv.2410.09652.
- J. Zhang, W. Cui, Y. Huang, K. Das, and S. Kumar, ‘Synthetic Knowledge Ingestion: Towards Knowledge Refinement and Injection for Enhancing Large Language Models’, Oct. 12, 2024, arXiv: arXiv:2410.09629. doi: 10.48550/arXiv.2410.09629.
- Y.-S. Cheng, P.-M. Lu, C.-Y. Huang, and J.-J. Wu, ‘Encapsulation of lycopene with lecithin and α-tocopherol by supercritical antisolvent process for stability enhancement’, The Journal of Supercritical Fluids, vol. 130, pp. 246–252, 2017.
- P.-M. Lu, ‘Potential Benefits of Specific Nutrients in the Management of Depression and Anxiety Disorders’, Advanced Medical Research, vol. 3, no. 1, pp. 1–10, 2024.
- P.-M. Lu, ‘Exploration of the Health Benefits of Probiotics Under High-Sugar and High-Fat Diets’, Advanced Medical Research, vol. 2, no. 1, pp. 1–9, 2023.
- P.-M. Lu, ‘The Preventive and Interventional Mechanisms of Omega-3 Polyunsaturated Fatty Acids in Krill Oil for Metabolic Diseases’, Journal of Computational Biology and Medicine, vol. 4, no. 1, 2024.
- C. Kim, Z. Zhu, W. B. Barbazuk, R. L. Bacher, and C. D. Vulpe, ‘Time-course characterization of whole-transcriptome dynamics of HepG2/C3A spheroids and its toxicological implications’, Toxicology Letters, vol. 401, pp. 125–138, 2024.
- J. Shen et al., ‘Joint modeling of human cortical structure: Genetic correlation network and composite-trait genetic correlation’, NeuroImage, vol. 297, p. 120739, 2024.
- K. F. Faridi et al., ‘Factors associated with reporting left ventricular ejection fraction with 3D echocardiography in real‐world practice’, Echocardiography, vol. 41, no. 2, p. e15774, Feb. 2024, doi: 10.1111/echo.15774.
- Y. Gan and D. Zhu, ‘The Research on Intelligent News Advertisement Recommendation Algorithm Based on Prompt Learning in End-to-End Large Language Model Architecture’, Innovations in Applied Engineering and Technology, pp. 1–19, 2024.
- H. Zhang, D. Zhu, Y. Gan, and S. Xiong, ‘End-to-End Learning-Based Study on the Mamba-ECANet Model for Data Security Intrusion Detection’, Journal of Information, Technology and Policy, pp. 1–17, 2024.
- D. Zhu, Y. Gan, and X. Chen, ‘Domain Adaptation-Based Machine Learning Framework for Customer Churn Prediction Across Varing Distributions’, Journal of Computational Methods in Engineering Applications, pp. 1–14, 2021.
- D. Zhu, X. Chen, and Y. Gan, ‘A Multi-Model Output Fusion Strategy Based on Various Machine Learning Techniques for Product Price Prediction’, Journal of Electronic & Information Systems, vol. 4, no. 1.
- X. Chen, Y. Gan, and S. Xiong, ‘Optimization of Mobile Robot Delivery System Based on Deep Learning’, Journal of Computer Science Research, vol. 6, no. 4, pp. 51–65, 2024.
- Y. Gan, J. Ma, and K. Xu, ‘Enhanced E-Commerce Sales Forecasting Using EEMD-Integrated LSTM Deep Learning Model’, Journal of Computational Methods in Engineering Applications, pp. 1–11, 2023.
- F. Zhang et al., ‘Natural mutations change the affinity of μ-theraphotoxin-Hhn2a to voltage-gated sodium channels’, Toxicon, vol. 93, pp. 24–30, 2015.
- Y. Gan and X. Chen, ‘The Research on End-to-end Stock Recommendation Algorithm Based on Time-frequency Consistency’, Advances in Computer and Communication, vol. 5, no. 4, 2024.
- J. Lei, ‘Efficient Strategies on Supply Chain Network Optimization for Industrial Carbon Emission Reduction’, JCMEA, pp. 1–11, Dec. 2022.
- J. Lei, ‘Green Supply Chain Management Optimization Based on Chemical Industrial Clusters’, IAET, pp. 1–17, Nov. 2022, doi: 10.62836/iaet.v1i1.003.
- J. Lei and A. Nisar, ‘Investigating the Influence of Green Technology Innovations on Energy Consumption and Corporate Value: Empirical Evidence from Chemical Industries of China’, Innovations in Applied Engineering and Technology, pp. 1–16, 2023.
- J. Lei and A. Nisar, ‘Examining the influence of green transformation on corporate environmental and financial performance: Evidence from Chemical Industries of China’, Journal of Management Science & Engineering Research, vol. 7, no. 2, pp. 17–32, 2024.
- Y. Jia and J. Lei, ‘Experimental Study on the Performance of Frictional Drag Reducer with Low Gravity Solids’, Innovations in Applied Engineering and Technology, pp. 1–22, 2024.