Chemical and isotopic equilibrium is assumed in the external medium, but neither is assumed inside the cell. Labelling of fluxes and compartments follows the convention of Hopkinson et al.46 and Bolton and Stoll (ref. 2). Nomenclature is as follows: C, B refer to Carbon dioxide (CO2) and Bicarbonate () respectively. Subscripts e, i, x and v refer to compartments: external, cytosol, choroplast and coccolith vesicle respectively (NB: subscript cell refers to outer cell membrane, whilst subscript i refers to cytosol. Vi=Vcell−Vx−Vv). FΘab represents the flux of carbon species Θ, from compartment a to compartment b in units of mols−1. FΘΦa represents the rate of conversion of carbon species Θ, to carbon species Φ, in compartment a, in units of mols−1. Θa represents the concentration of carbon species, Θ, in compartment a in units of molm−3. PΘa represents the permeability of compartment a membrane to carbon species Θ in units of ms−1. Va, SAa represent the volume and surface area of compartment, a in units of m3 and m2 respectively. fa, sa represents the scale and shape factor of compartment a, for inferring Va and SAa ([Dimensionless]). See ‘Methods' section for full model derivation and parameter values.