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Mathematics sheds new light on the best approach to antibiotic therapy in agriculture
MITACS and Quebec pork industry join forces to support innovative research

The power of advanced mathematical tools is being applied to an important agricultural and societal challenge – the need for the safe and effective use of antibiotics in animal production. A partnership between the Mathematics of Information Technology and Complex Systems (MITACS) network and the Fédération des producteurs de porcs du Québec (FPPQ) is supporting a new area of research, which combines the sciences of mathematics, pharmacology, animal behaviour and veterinary medicine to determine the best strategies for feed-administered antibiotics in hog production. The mathematical sciences also hold potential for novel applications in human antibiotic research.

The need to preserve the long-term efficacy of antibiotics for both animals and humans is a growing imperative. Limited options for the development of new antibiotics make it increasingly important to guard against resistance to medications currently in use. That means bringing the highest degree of precision to the design and delivery of antibiotic therapies.

Safe and efficacious use of antibiotics is certainly a priority for the FPPQ, which represents more than 4,050 pork producers in Quebec. The pork industry is one of the economic backbones of the province, with production valued at more than $3.1 billion a year.

The FPPQ dedicates considerable resources to R&D to continually advance standards in animal health and welfare, food safety and meat quality. The association has partnered with MITACS to fund a multidisciplinary project headed by mathematics researcher Fahima Nekka of the Université de Montréal. Dr. Nekka and her team are breaking new ground using complex mathematics, supported by in vivo research, to predict the impact of swine feeding behaviour on the animals' exposure to feed-administered antibiotics.

"Our objective as an industry is to achieve the best use of antibiotics for animal health and to lower the risk of antibiotic resistance," says Claude Miville, Manager, Research & Development, with the FPPQ. "We were very interested in this research because it is a new field and a novel way of studying antibiotics in our sector. Through this MITACS project, we are accessing the expertise of mathematical modelling to find new solutions for one of our major priorities."

As MITACS project leader, Dr. Nekka is working with a cross-disciplinary team of researchers with backgrounds in pharmacokinetics, veterinary medicine, animal sciences, pharmacy and mathematics. The veterinary component is led by her university colleague Jérôme del Castillo and animal scientist Renée Bergeron from Université Laval.

To design the best antibiotic therapy, it is important to consider all the factors affecting the therapeutic efficiency of the antibiotics and the risk of resistance. There are some variables, however, which are complex and which exhibit random features. One such variable is feeding behaviour.

"Studies by animal behaviour scientists have demonstrated that there are wide variations in swine feeding behaviour both individually and while feeding in groups," Dr. Nekka explains. "For the first time, Dr. del Castillo raised the potential problem that can be induced by these feeding variations on the fate of feed-administered antibiotics in the body."

Here's where the mathematical sciences enter into the picture. "The challenge is to quantify this complex, highly variable behaviour and this cannot be done without very advanced mathematical tools," says Dr. Nekka. "We use mathematical methods to generate the random features and to establish predictions based on probabilities."

The team has made considerable progress toward building the model to achieve the short-term project objective of characterizing and predicting the pharmacokinetic effects of the various feeding behaviours.

There have been some interesting findings already, says Dr. Nekka. Data collected from an experimental farm helped the team to classify swine into different social groups: dominates, intermediates and subordinates, determined by their ability to access feed. The feeding scenarios will be combined with other factors such as animal weight, daily consumption and stages of growth. The long-term objective is to develop new guidelines for antibiotic therapy control that will be safer and more efficient.

This type of mathematical modelling also has applications in human medicine, says the project leader. "There is an emerging concern about compliance in human antibiotic use, and mathematical approaches will allow us to address that problem as well."

This project clearly demonstrates how close collaboration between researchers in mathematics and other disciplines provides novel solutions to important societal challenges.

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