AI 中文总结
本文研究Levitt等人提出的乙醇代谢双房室模型，分析其全局动力学，推广模型的代谢速率函数并验证数值结果，补充了该领域的分析结论。
AI 中文摘要
本研究重新审视了Levitt与Levitt最初提出的人体乙醇代谢的连续时间双房室药代动力学模型。我们首先确定了解的正性与有界性，研究了正平衡点的存在性与唯一性，并分析了其局部和全局渐近稳定性，从而完整刻画了乙醇代谢模型的全局动力学，补充并扩展了原始基准研究中的分析结果。其次，我们通过将米氏-门坦代谢速率替换为包含众多知名单调及非单调形式的通用代谢速率函数类，扩展了原始连续时间模型，该扩展提升了模型的灵活性，使其能够捕捉更广泛的现实代谢场景。随后，我们研究了推广后的连续时间模型的全局动力学。最后，开展数值实验以支持理论发现，数值结果为理论结果提供了进一步证据。
英文摘要
In this work, we revisit a continuous-time two-compartment pharmacokinetic model of human ethanol metabolism originally proposed by Levitt and Levitt. We first establish the positivity and boundedness of the solutions, investigate the existence and uniqueness of a positive equilibrium, and analyze its local and global asymptotic stability. As a result, the global dynamics of the ethanol metabolism model is completely characterized, thereby complementing and extending the analytical results reported in the original benchmark study. Second, we extend the original continuous-time model by replacing the Michaelis--Menten metabolism rate with a general class of metabolism-rate functions that includes many well-known monotone and nonmonotone forms. This extension enhances the flexibility of the model and enables it to capture a wider range of realistic metabolic scenarios. We then investigate the global dynamics of the generalized continuous-time model. Finally, numerical experiments are conducted to support the theoretical findings. The numerical results provide further evidence for the theoretical results.
Comments24 pages, 10 figures
