Rapid cell turnover to model adipocyte size distribution

White adipose tissue, composed of adipocyte cells, primarily stores energy as lipid droplets. The size of adipocytes varies significantly within the tissue due to the amount of stored lipids, and their size distribution is uniquely bimodal, lacking a characteristic size. Previous modeling efforts to understand these characteristics fall into two categories. On the one hand, models that aim at replicating bimodality using general parameters: their broad nature makes it hard to associate with physiological mechanisms. On the other hand, mechanistic models are usually based on lipid exchanges and neglect cell renewal assuming adipocyte turnover is low. We propose a novel dynamical model, based on a partial differential equation, where adipocytes are constantly growing in size, and when growth is slowed for a certain size, cells tend to accumulate at this size. In addition, it includes a recruitment and a death rate accounting for turnover. This model admits a unique stationary solution, locally asymptotically stable, for a wide choice of problem functions. The stationary solution is parameterized with 3 parameters, that are uniquely estimated with measured cell size distributions. This explicit function gives a new way to fit adipocyte size distributions with only three parameters, which is a novel approach and gives results in good agreement with available data.