Mathematical models for the analysis of signal data generated by sequencing of a polynucleotide strand using a pH-based method of detecting nucleotide incorporation(s). In an embodiment, the measured output signal from the reaction confinement region of a reactor array is mathematically modeled. The output signal may be modeled as a linear combination of one or more signal components, including a background signal component. This model is solved to determine the nucleotide incorporation signal. In another embodiment, the incorporation signal from the reaction confinement region of a reactor array is mathematically modeled.