Several models have been proposed to describe strongly charged microgels and their swelling properties. A significant portion of this research is grounded in mean-field electrostatics (Poisson-Boltzmann theory), which has been instrumental in elucidating the role of microions and their screening effects together with the determination of both the net charge of microgels and the effective electrostatic interactions between them. 6, The understanding of effective interactions is crucial, as it provides insights into the structural and thermodynamic behavior of microgel suspensions, as well as into the influence of swelling on dynamical properties of these suspensions. Complementary to the mean-field approach, theoretical works based on integral equations and density functional theory have derived similar results, additionally exploring the role of steric effects, which become particularly relevant when dealing with nanogels. Different theoretical approaches have also been applied to investigate various microgel architectures, expanding the knowledge of the usage of microgels as encapsulating agents. In particular, there has been substantial work focused on the electrostatics of hollow microgels. This research is especially focused on the loading capacity of these architectures and their dynamics in loading and release processes. Dynamic density functional theory has been a key tool in exploring these aspects, providing a detailed understanding of the mechanisms underlying the loading and release dynamics of hollow microgels. Despite the ubiquitous use of pH-responsive microgels and their potential applications, the theory of weak polyelectrolyte microgels is developed much less than for their strongly charged counterparts, relying primarily on simulations as the main source of understanding. 7, Polotsky et al. have proposed a mean-field model for weak microgels. Modeling the microgel free energy per chain, which includes the Gaussian elastic contribution in addition to ionic and excluded-volume effects, they determine the equilibrium swelling through free-energy minimization combined with the law of mass action. An important aspect of the model is the assumed local electroneutrality approximation for the calculation of the ionic contribution, which restricts its application to microgels with sizes of a several hundred nanometers or larger. Recently, Zheng et al. presented a theoretical model of weak polyampholyte microgels which is based on Poisson-Boltzmann theory and a Langmuir adsorption model for modeling the electrostatics of charge-regulating microgels, in combination with rubber elasticity for the polymer gel contribution. The model has a similar degree of approximation of the electrostatic part to previous cell-model-based methods. However, it differs in the description of the gel pressure contribution.