Estimating Concentration Response Function and Change-Point using Time-Course and Calibration Data

Qiang B, Abdalla A, Morgan S, Hashemi P and Peña E
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Qiang B: Department of Math and Stats, Southern Illinois University Edwardsville, USA
Hashemi P: Department of Chemistry and Biochemistry, USC, Columbia, SC 29208
Peña E: Department of Statistics, USC, USA

Biostatistics and Biometrics Open Access Journal, 2019, vol. 9, issue 3, 57-68

Abstract: In this paper the problem of determining the functional relationship between time and the concentration of a chemical substance is studied. An intervention drug is administered on the experimental unit from which the chemical substance (specimen) is measured. This drug is hypothesized to cause a change in the concentration level of the chemical substance a certain lag-time after the intervention. However, the concentration value could not be directly measured, but rather a surrogate response can be measured. In the time-course study, this surrogate response is measured using different electrodes which possess varied behaviors. To utilize these surrogate measurements arising from the different electrodes (sensors), a calibration study is undertaken which measures the surrogate response for the different electrodes at known concentration levels. Based on the time-course and calibration data sets, a statistical procedure to estimate the signal function and the lag-time is proposed. Simulation studies indicate that the proposed procedure is able to reasonably recover the signal function and the lag-time. The procedure is then applied to the real data sets obtained during an analytical chemistry experiment.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:9:y:2019:i:3:p:57-68

DOI: 10.19080/BBOAJ.2019.09.555762

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