Department of Mathematics, Howard University, Washington, DC, 20059, USA.
National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD, 20894, USA.
Biol Direct. 2018 Dec 14;13(1):27. doi: 10.1186/s13062-018-0230-9.
Genetic parasites are ubiquitous satellites of cellular life forms most of which host a variety of mobile genetic elements including transposons, plasmids and viruses. Theoretical considerations and computer simulations suggest that emergence of genetic parasites is intrinsic to evolving replicator systems.
Using methods of bifurcation analysis, we investigated the stability of simple models of replicator-parasite coevolution in a well-mixed environment. We first analyze what appears to be the simplest imaginable system of this type, one in which the parasite evolves during the replication of the host genome through a minimal mutation that renders the genome of the emerging parasite incapable of producing the replicase but able to recognize and recruit it for its own replication. This model has only trivial or "semi-trivial", parasite-free equilibria: an inefficient parasite is outcompeted by the host and dies off, whereas an efficient one pushes the host out of existence, leading to the collapse of the entire system. We show that stable host-parasite coevolution (a non-trivial equilibrium) is possible in a modified model where the parasite is qualitatively distinct from the host replicator in that the replication of the parasite depends solely on the availability of the host but not on the carrying capacity of the environment.
We analytically determine the conditions for stable coevolution of genetic parasites and their hosts coevolution in simple mathematical models. It is shown that the evolutionary dynamics of a parasite that initially evolves from the host through the loss of the ability to replicate autonomously must substantially differ from that of the host, for a stable host-parasite coevolution regime to be established.
遗传寄生虫是细胞生命形式的普遍存在的卫星,其中大多数宿主具有多种移动遗传元件,包括转座子、质粒和病毒。理论考虑和计算机模拟表明,遗传寄生虫的出现是进化复制系统的固有特性。
我们使用分岔分析的方法,研究了在均匀混合环境中复制子-寄生虫共同进化的简单模型的稳定性。我们首先分析了这种类型似乎最简单的系统,即寄生虫在宿主基因组复制过程中通过最小突变进化,使新兴寄生虫的基因组无法产生复制酶,但能够识别并招募它来复制自己。这个模型只有微不足道的或“半微不足道的”、无寄生虫的平衡点:效率低下的寄生虫被宿主竞争淘汰而死亡,而高效的寄生虫则将宿主推向灭绝,导致整个系统崩溃。我们表明,在一个经过修改的模型中,寄生虫是与宿主复制子在质上不同的,即寄生虫的复制仅取决于宿主的可用性,而不取决于环境的承载能力,稳定的宿主-寄生虫共同进化(非平凡平衡点)是可能的。
我们在简单的数学模型中分析确定了遗传寄生虫与其宿主共同进化的稳定条件。结果表明,通过失去自主复制能力从宿主进化而来的寄生虫的进化动力学必须与宿主有很大的不同,才能建立稳定的宿主-寄生虫共同进化机制。