Here’s How Maths Can Make Microbes More Useful

Humans became aware of the power of microbes many centuries ago, and were able to harness them for various purposes, from using them in the production of bread, beer and milk through the fermentation process, to using them in the production of biofuels.

These microorganisms perform chemical reactions in their daily lives that produce products useful for humans. But in recent years, microbes have found their way into various industries, as they promote sustainability and help producers and consumers reduce the industrial sector’s impacts on ecosystems.


Over the past two decades, scientists have investigated how humans can use new biological systems that do not occur in nature. For instance, bacteria can be genetically modified to act as “bio-sensors”, and light up in the presence of certain compounds, such as oil or even pathogens.

We can also engineer species to work with other microbes, which could lead to entirely new biological systems with enhanced capabilities. Over the past 10 years, the use of these microbial consortia (or co-populations) have become more common. By associating different bio-engineered microbes with one another, the new community can perform different tasks and even outperform those possible with a single species.

For example, if one of the two species produces acetate (which is toxic) when consuming glucose to perform a certain task (such as production of a valuable compound), a second species bioengineered “to eat” the acetate could be introduced to detoxify the environment.

Controlling microbes with maths

These efforts have drawn the attention of not just biologists, but of computer and systems theorists, as well as mathematicians.

Advanced numerical techniques help us to understand and predict the behaviour of biological systems, and there are many mathematical tools that allow us, for instance, to study the behaviour of systems described by a model, including their stability and response to external influences. In doing so, it is possible to enforce a desired behaviour in the microbes and thus optimise the biological process.

Bacteria, for example, love glucose – the more glucose there is in their environment, the more they grow. Therefore, scientists can develop algorithms that tune the amount of glucose to adjust the concentration or the behaviour of these bacteria, according to what biologists need. It is also possible to stimulate microbes using light or specific chemical compounds.

These tasks are not as simple as they may seem. Biological systems are inherently uncertain: many factors can alter the behaviour of these systems, and they are not easily identified.

The mathematical models used to control biological systems can therefore be imprecise or fail to describe a behaviour or interaction between a cell and its environment. To cope with this, our algorithms must be robust: they should work even if reality differs slightly from the model.

The complexity grows when controlling a community with different types of microbes. For instance, they might compete for the available food, which could result in the extinction of one of the microbe species.

Control algorithms that aim to regulate such a co-population must take into account the relation between two species, taking decisions that will ensure their survival and, consequently, help the work of bioengineers.