Controlling emergent structures in biological networks in the presence of limited resources

The actomyosin network in living cells is involved in the formation of a wide variety of functional structures that are useful for cell division, call locomotion, etc. Like many other biological systems, the actomyosin network also operates under a large range of resource levels and how finite resources affect different aspects of such a system remains unclear. In a previous work (A. K. Behera, M. Rao, S. Sastry, and S. Vaikuntanathan, Physical Review X 13, 041043 (2023)), some of us demonstrated the effect of temperature fluctuations on the ability of a network of nonlinear springs to store structures faithfully. Using a similar model, in this work, we explore how resource limitation affects the formation and storage of the memory of such structures and investigate the performance of the network in retrieving those memories. We also demonstrate the presence of a class of network structures that show robust memory retrieval in the presence of limited resources.