Sandia bioimaging researchers have applied a novel method for fitting kinetic models to temporally resolved hyperspectral images of fluorescently labeled cells. This new method can be used to mathematically resolve pure-component spatial images, spectra, and reaction profiles. The scientists demonstrated this method on one simulated image and two experimental cell images labeled with fluorescent proteins. The researchers created a kinetic model of the compressed images by using a separable least-squares method. In keeping with the hypothesis that fluorophores are found in various cell environments, several first-order decays were combined to model the photobleaching processes for each observed fluorophore. After testing various kinetic-modeling mechanisms for the photobleaching processes, the most parsimonious and statistically sufficient model was used to prepare spatial maps for each fluorophore.