Basic Phage Mathematics
Basic Phage Mathematics
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DOI：
10.1007/978-1-4939-7343-9_1
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发表时间：
2018-01-01
期刊：
影响因子：
--
通讯作者：
Katsaounis, Tena I.
中科院分区：
文献类型：
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作者：
Abedon, Stephen T.;Katsaounis, Tena I.
基本的数学描述在噬菌体生态学、应用噬菌体生态学（如在噬菌体治疗过程中）以及在实验室操作噬菌体时所看到的预期的噬菌体-细菌相互作用的跟踪中是有用的。噬菌体最基本的数学描述是它们的滴度，即它们在储存库、实验容器或其他环境中的浓度。各种现象都可以用来改变噬菌体滴度，事实上，噬菌体滴度可以随着它们的测量方式而变化。噬菌体与细菌相互作用导致滴度变化的一个重要方面。这些变化随着环境中细菌密度的变化而变化，特别是那些易受特定噬菌体感染或至少可被特定噬菌体吸附的细菌的密度。使用简单的数学模型可以描述引起噬菌体吸附事件的噬菌体-细菌相互作用。详细地说，我们可以把噬菌体和细菌密度的变化看作是时间和这些相互作用的函数。此外，噬菌体及其对细菌的影响可以被认为是空间受限的过程。在本章中，我们将考虑这些概念中较简单的概念，为易于理解的数学见解提供特别详细的口头解释。主要目标是促进在实验室内对噬菌体和噬菌体群体的更明智的使用和操作，以及在实验室外更有效的噬菌体应用，例如在噬菌体治疗期间。更一般地说，噬菌体定量的许多问题和方法与噬菌体的个体、生态和应用特性的定量一起被考虑。
Basic mathematical descriptions are useful in phage ecology, applied phage ecology such as in the course of phage therapy, and also toward keeping track of expected phage-bacterial interactions as seen during laboratory manipulation of phages. The most basic mathematical descriptor of phages is their titer, that is, their concentration within stocks, experimental vessels, or other environments. Various phenomena can serve to modify phage titers, and indeed phage titers can vary as a function of how they are measured. An important aspect of how changes in titers can occur results from phage interactions with bacteria. These changes tend to vary in degree as a function of bacterial densities within environments, and particularly densities of those bacteria that are susceptible to or at least adsorbable by a given phage type. Using simple mathematical models one can describe phage-bacterial interactions that give rise particularly to phage adsorption events. With elaboration one can consider changes in both phage and bacterial densities as a function of both time and these interactions. In addition, phages along with their impact on bacteria can be considered as spatially constrained processes. In this chapter we consider the simpler of these concepts, providing in particular detailed verbal explanations toward facile mathematical insight. The primary goal is to stimulate a more informed use and manipulation of phages and phage populations within the laboratory as well as toward more effective phage application outside of the laboratory, such as during phage therapy. More generally, numerous issues and approaches to the quantification of phages are considered along with the quantification of individual, ecological, and applied properties of phages.