Intracellular chemical reactions generally constitute reaction-diffusion systems located inside nanostructured compartments like the cytosol, nucleus, endoplasmic reticulum, Golgi, and mitochondrion. Understanding the properties of such systems requires quantitative information about solute diffusion. Here we present a novel approach that allows determination of the solvent-dependent solute diffusion constant (D solvent ) inside cell compartments with an experimentally quantifiable nanostructure. In essence, our method consists of the matching of synthetic fluorescence recovery after photobleaching (FRAP) curves, generated by a mathematical model with a realistic nanostructure, and experimental FRAP data. As a proof of principle, we assessed D solvent of a monomeric fluorescent protein (AcGFP1) and its tandem fusion (AcGFP1 2 ) in the mitochondrial matrix of HEK293 cells. Our results demonstrate that diffusion of both proteins is substantially slowed by barriers in the mitochondrial matrix (cristae), suggesting that cells can control the dynamics of biochemical reactions in this compartment by modifying its nanostructure. molecular dynamics | quantitative random-walk model | systems biology A major challenge facing biochemistry is to understand the dynamics of chemical reactions within inhomogeneous cell compartments like the cytosol, nucleus, endoplasmic reticulum (ER), Golgi, and mitochondrion (1). In general, intracompartment reactions involve the conversion of (im)mobile substrates by (im)mobile enzymes into (im)mobile products and therefore constitute reaction-diffusion systems. Obviously, gaining insight into the behavior of such systems requires quantitative information about solute diffusion. The latter depends on solvent and solute properties, the dimensions and shape of the compartment, and the internal structure of the compartment (2-6).A widely used strategy to investigate solute diffusion involves expressing a fluorescent tracer protein (FP) in the compartment of interest. Next, FP mobility is measured using FCS (fluorescence correlation spectroscopy) or FRAP (fluorescence recovery after photobleaching). This is then followed by curve fitting and/ or mathematical modeling of the experimental data to obtain the diffusion constant of the FP (7-16). However, these analysis methods generally do not include realistic (i.e., experimentally determined) information concerning the spatial dimensions and nanostructure of the compartment. Moreover, the temporal scale of most FRAP models does not quantitatively match with that of FRAP experiments. Therefore it was already recognized some time ago (8-17) that the above approaches will only yield an "apparent" (biased) value for the diffusion constant (D app ) of a given FP, which represents an underestimation of the "real" (i.e., purely solvent-dependent) diffusion constant (D solvent ).In this study we present a strategy to determine D solvent inside cell compartments with an experimentally accessible nanostructure. Our method consists of matching synthetic FRA...