Biosensor Systems for Determining Analyte Concentration Based on Complex Index Functions

A biosensor system, for determining an analyte concentration in a sample, comprising:

• a test sensor having a sample interface adjacent to a reservoir formed by the strip, wherein the test sensor is capable of generating at least one output signal responsive to the concentration of the analyte in the sample;
• and
• a measurement device having a processor connected to a sensor interface, the sensor interface having electrical communication with the sample interface, and the processor having electrical communication with a storage medium,
• wherein the processor is capable of determining at least one output signal value from the output signal received from the sensor interface, wherein the at least one output signal value is responsive to the concentration of the analyte in the sample,
• wherein the processor is capable of determining at least one ΔS value from at least a complex index function stored in the storage medium,
• wherein the at least one ΔS value represents a slope deviation of a correlation between analyte concentration and the at least one output signal,
• wherein the weighing coefficients are numerical values other than one or zero,
• wherein the complex index function includes at least two terms, wherein each of the at least two terms is modified by a weighing coefficient, wherein at least one of the at least two terms and the weighing coefficients is responsive to a bias between a correlation of analyte concentrations and the at least one output signal, wherein the complex index function is responsive to at least one error parameter, and
• wherein the processor is capable of determining the analyte concentration in the sample from the output signal value and a slope compensation equation stored in the storage medium, wherein the slope compensation equation adjusts a slope of at least one reference correlation present in the storage medium with the at least one determined ΔS value.