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如果不同事物的机理可被函数形式严格相同的数学模型所描述，我们就认为在这些事物之间存在机理相似性。机理相似性可以帮助我们在机理建模方面的科学探索。降解有机化学品的微生物在机理上相似于相互作用种群的Volterra模型中的捕食着种群；但有机化学品浓度的变化在数理上不同于Volterra模型中被捕食者种群密度的变化。有机化学品的降解速度可被描述为：式中，x是有机化学品在时间t的浓度，m是能降解该有机化学品的微生物在时间t的数量，而j和k分别是非生物学的（即化学的）和生物学的降解速度常数。在常见的生长温度范围内，生物学因素对降解速度的贡献远大于非生物学因素的贡献。在此情况下，方程也可写为：-dx／dt=kxm。本文讨论了表示m的某些方法，从而使降解速度表示为可被积分的形式。
If the mechanics of different things can be described by mathematical models with exactly the same function form, we assume that there is a mechanistic similarity between these things. Mechanism similarity can help us to explore science in mechanism modeling. Microorganisms that degrade organic chemicals are mechanistically similar to prey populations in the Volterra model of interacting populations; however, changes in the concentration of organic chemicals are mathematically different from changes in the population density of the prey in the Volterra model. The rate of degradation of organic chemicals can be described as: where x is the concentration of the organic chemical at time t, m is the number of microorganisms that can degrade the organic chemical at time t, and j and k are non-biological (Ie, chemical) and biological degradation rate constants. In the common growth temperature range, the contribution of biological factors to degradation rate is far greater than the contribution of non-biological factors. In this case, the equation can also be written as: -dx / dt = kxm. This article discusses some of the ways to represent m so that the rate of degradation is expressed as a form that can be integrated.