1. Evolution of antibiotic resistance under seasonally changing antibiotic use:
I developed a model that describes the evolution of antibiotic resistance under selection by multiple antibiotics prescribed at seasonally changing rates. This model was inspired by, and fitted to, published data on monthly antibiotics prescriptions and frequency of resistance in two communities in Israel over 5 years. Seasonal fluctuations in antibiotic usage translate into small fluctuations of the frequency of resistance around the average value. These dynamics were described using a generic model encapsulating all ecological and evolutionary forces. Fitting the model to the data revealed a strong stabilizing force, typically two to five times stronger than direct selection due to antibiotics, explaining that resistance fluctuates in phase with usage. While most antibiotics selected for increased resistance, intriguingly, the cephalosporin class of antibiotic selected for decreased resistance to penicillins and macrolides, an effect consistent in the two communities. One extra monthly prescription of cephalosporins per 1000 children decreased the frequency of penicillin-resistant strains by 1.7%. This model emerges under minimal assumptions, quantifies the forces acting on resistance and explains up to 43% of the temporal variation in resistance.
2. Evolution of antibiotic resistance in a structured host population:
I formulated and analysed a mathematical model describing the epidemiological and evolutionary dynamics of drug resistance in a bacterial species. The host population was structured in several classes, and I delineated analytical conditions under which both the resistant and sensitive strains coexist. The major results are that persistence of the resistant strain is facilitated by invasion of the resistant strain in the niche formed by the treated uncolonised individuals; while coexistence is favoured by the existence of different semi-isolated classes of hosts treated at different rates.
Next, I simulated more complex versions of the mathematical model parameterised with available data from Western countries, describing pneumococcal evolution in a host population structured into age classes (age 0 to 6, as mainly young children are infected by the pneumococcus), and structured in the type of child care arrangement (children placed in collective day care centres experience higher prevalence of S. pneumoniae, and higher rates of antibiotic treatment), two strong determinants of antibiotic consumption. Younger children in day care centres form a ‘core’ group with high prevalence and frequency of resistance. Reducing inappropriate antibiotic prescription in priority in younger children going to collective daycare centers is predicted to lead to a 14-fold larger reduction in resistance compared to treating older children not going to collective daycare centers. The host population structure – subdivision of the human host population in different classes using antibiotics at different rates - was an important driver of resistance. In particular, this structure, with preferential transmission within classes of hosts, facilitated coexistence of sensitive and resistant strain.
The work was disseminated in two open-access publications in peer-reviewed journals and two more in preparation, and 16 international seminars and conferences.