Fig. 1: Schematic representation of the class of models considered in this work.
From: Optimal spatial allocation of enzymes as an investment problem
a An enzyme \({{{{{{{\mathcal{E}}}}}}}}\) converts a substrate \({{{{{{{\mathcal{S}}}}}}}}\) to product \({{{{{{{\mathcal{P}}}}}}}}\) with a catalytic rate kcat. The enzyme molecules can be freely placed, both within the system and on its interior or exterior membranes. b—Import: \({{{{{{{\mathcal{S}}}}}}}}\) is either imported from the exterior or produced within internal compartments. b—Transport: Within the system, \({{{{{{{\mathcal{S}}}}}}}}\) is transported diffusively, and possibly also advectively via a velocity field v(r), e.g., by active transport or cytoplasmic streaming. b—Loss: During transport, \({{{{{{{\mathcal{S}}}}}}}}\) can also be degraded with rate σ or leak out of the system via a membrane.
