论文标题

艾滋病毒感染的动力学:熵 - 能量视图

Dynamics of HIV Infection: an entropic-energetic view

论文作者

González, Ramón E. R., Figueirêdo, P. H., Coutinho, S.

论文摘要

我们提出了3级能量系统的热力学行为与由适当的细胞自动机模型产生的细胞种群进化所描述的HIV感染的进展之间的时间参数化的类比。内部能量及其波动的发展以及3级能量系统的熵允许鉴定有效温度,该温度独特地表征了HIV感染动态过程的三个主要阶段。此外,这种热力学等效性允许获得与内部能量和熵进化的特定时间间隔相关的瞬间,这些时间间隔无法通过基于微分方程或细胞自动机的常规动态模型来定量访问。最大熵点标志着正温度和负温度状态之间的阈值,也对应于免疫系统\'衰竭以及伴随和不可驱动的艾滋病的发作。这样的点在于时间间隔,未感染和感染细胞种群中的能量反演机制发生。当比较不同的样品时,这次滞后还具有大量内部能量的波动。

We propose a time-parameterized analogy between the thermodynamic behavior of a 3-level energy system and the progression of the HIV infection described by the cell population evolution generated by an appropriated cellular automata model. The development of internal energy and its fluctuations, and of the entropy of the 3-level energy system allows the identification of an effective temperature that uniquely characterizes the three main stages of the dynamic process of HIV infection. Furthermore, this thermodynamical equivalence allows obtaining the instants associated with particular time intervals of the evolution of internal energy and entropy, which are not quantitatively accessible by the usual dynamic models based on differential equations or cellular automata. The maximum entropy point, which marks the threshold between the states of positive and negative temperatures, also corresponds to the onset of the immune system\' exhaustion and the concomitant and inexorable progression to AIDS. Such point lies in the time interval where the energy inversion mechanisms in the populations of non-infected and infected cells occur. This time lag is also characterized by considerable fluctuations of the internal energy when different samples are compared.

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