Many microalgae induce an extracellular carbonic anhydrase (eCA), associated with the cell surface, at low carbon dioxide (CO 2 ) concentrations. This enzyme is thought to aid inorganic carbon uptake by generating CO 2 at the cell surface, but alternative roles have been proposed. We developed a new approach to quantify eCA activity in which a reaction-diffusion model is fit to data on 18 O removal from inorganic carbon. In contrast to previous methods, eCA activity is treated as a surface process, allowing the effects of eCA on cell boundary-layer chemistry to be assessed. Using this approach, we measured eCA activity in two marine diatoms (Thalassiosira pseudonana and Thalassiosira weissflogii), characterized the kinetics of this enzyme, and studied its regulation as a function of culture pH and CO 2 concentration. In support of a role for eCA in CO 2 supply, eCA activity specifically responded to low CO 2 rather than to changes in pH or HCO 3 2 , and the rates of eCA activity are nearly optimal for maintaining cell surface CO 2 concentrations near those in the bulk solution. Although the CO 2 gradients abolished by eCA are small (less than 0.5 mM concentration difference between bulk and cell surface), CO 2 uptake in these diatoms is a passive process driven by small concentration gradients. Analysis of the effects of short-term and long-term eCA inhibition on photosynthesis and growth indicates that eCA provides a small energetic benefit by reducing the surface-to-bulk CO 2 gradient. Alternative roles for eCA in CO 2 recovery as HCO 3 2 and surface pH regulation were investigated, but eCA was found to have minimal effects on these processes.To overcome the inefficiencies of Rubisco, many phytoplankton operate a CO 2 -concentrating mechanism (CCM) that increases Rubisco's rate of carbon fixation and reduces oxygen fixation by increasing the concentration of CO 2 around the enzyme. CCMs typically consist of inorganic carbon (C i ) pumps, carbonic anhydrases (CAs) to equilibrate HCO 3 2 and CO 2 , and a compartment to confine Rubisco, such as the pyrenoid or carboxysome, minimizing the volume in which CO 2 is elevated (Badger et al., 1998;Kaplan and Reinhold, 1999;Giordano et al., 2005). Intracellular carbonic anhydrases (iCAs) play multiple roles in CCMs, including the conversion of accumulated HCO 3 2 to CO 2 around Rubisco and the prevention of CO 2 leakage (Badger, 2003). Some organisms also have an extracellular carbonic anhydrase (eCA) associated with the cell wall, plasma membrane, or periplasmic space. The role of eCA has been enigmatic, although it is clearly related to the CCM. In Chlamydomonas reinhardtii, where eCA has been most thoroughly studied, the major eCA (Cah1) is up-regulated at low CO 2 , and its regulatory network includes a transcription factor that induces the expression of other CCM genes as well (Yoshioka et al., 2004;Ohnishi et al., 2010). In other organisms, eCA activity generally increases, in some cases dramatically, at low CO 2 , supporting its association with the CCM, but the...