A method of modeling a background signal when sequencing a polynucleotide strand using sequencing-by-synthesis includes: flowing a series of nucleotide flows onto a reactor array having multiple reaction confinement regions, one or more copies of the polynucleotide strand being located in a loaded reaction confinement region of the reactor array, the loaded reaction confinement region being located in a vicinity of one or more neighboring reaction confinement regions that may or may not be loaded; receiving output signals from the reactor array; and modeling a background signal for the loaded reaction confinement region using the received output signals and a model adapted to account at least for an exchange of ions between the one or more neighboring reaction confinement regions and a headspace adjacent the loaded reaction confinement region and the one or more neighboring reaction confinement regions.