Bacteriophages play critical roles in nature, from molecular to ecological scales. In an ANR project we plan to develop an in vitro framework to understanding phage cycles, in collaboration between experimentalists and theoreticians. This internship is on the theory side, for which there is funding for a PhD. The master 2 internship will be centered on the capacity of genotype to phenotype coupling of phages, independent of cellular compartmentalization: when phages are produced with a mix of 2 closely related types of phage DNA, it has been observed experimentally that there is more association of DNA with related proteins than the null model [1]. A simple explanation is that, as proteins of a given type are produced close to the genome of this type, then the proportion of the matching protein is higher than the overall proportion of this protein type in the solution. A first model considering a local and a global protein concentration has already been developed. In the internship, the student will develop a more realistic model taking into account the out-of-equilibrium kinetics of protein production, assembly, and diffusion, using a combination of numerical simulation and analytical calculations, to test whether this more detailed model gives similar results, and link with physical parameters that may be tuned in new experiments, which would enable to compare with model predictions.