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Predictor–Response Analysis of Fiber Optic Enzymatic Biosensors Constructed with Nonmodified E. coli BL21 (DE3) pGELAF+ Sensing 1,2-Dichloroethane

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Abstract

Biosensor technology can lack methods to iteratively validate system outputs (i.e., signals) concomitantly with the development of mathematical models. We evaluated a nonmodified fiber optic enzymatic biosensor (FOEB—Escherichia coli BL21 (DE3) pGELAF+) sensing dichloroethane with a predictor–response statistical form. The linear regression technique applied with MATLAB functions correlated FOEB parameters to sensing responses that could be used to identify system characteristics and interactions. A FOEB specific metric (i.e. normalized sensitivity) is shown to be significant as a mixed sensing correlation metric suggesting that similar development parameters could be related to engineering design paradigms for biosensor (or whole cell biosensor) systems.

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Abbreviations

h :

hypothesis test result

kstat:

test statistic of Lilliefor’s test

ks2stat:

test statistic of the two-sample Kolmogorov–Smirnov test

critval:

critical value of the test statistic for Lilliefor’s test

p :

test specific p value

W :

sum of the Ansari–Bradley ranks for the sample

W*:

approximate normal statistic for the Ansari–Bradley test

X i :

regressors

X 1 :

day of use after construction

X 2 :

immobilized matrix size

X 3 :

optode sensitivity

X 4 :

change of analyte concentration in the measurement environment

X 5 :

response time

βi :

regression coefficients

y i :

sensor observations

εi :

random disturbance

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Acknowledgments

This research was made possible by ESTCP Project Number CU-0115, the Colorado State University, Dr. DB Janssen’s laboratory (that developed E. coli BL21 (DE3) pGELAF+), the Colorado School of Mines, and Dr. Kenneth F. Reardon. Thanks to Dr. William Navidi for conversation on the topic of regression models. Special thanks to Brandon Cooksey who made and characterized several of the optodes used for this research. Thanks in particular not only to Dean and Professor Anthony Dean, Dr. David Muñoz, and Dr. Daniel Kaffine, but also to all of my colleagues for inspiring tenacious motivation.

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  1. Cory D. Jensen

    Present address: , Golden, CO, USA

Authors and Affiliations

  1. Chemical and Biological Engineering, Colorado State University, Ft. Collins, CO, USA

    Cory D. Jensen & Cord Müeller

  2. College of Computer Science and Engineering, Colorado School of Mines, Golden, CO, USA

    Cory D. Jensen

  3. Engineering Research Services LLC, Golden, CO, USA

    Cory D. Jensen

  4. Covidien, North Haven, CT, USA

    Cord Müeller

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Correspondence to Cory D. Jensen.

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Jensen, C.D., Müeller, C. Predictor–Response Analysis of Fiber Optic Enzymatic Biosensors Constructed with Nonmodified E. coli BL21 (DE3) pGELAF+ Sensing 1,2-Dichloroethane. Appl Biochem Biotechnol 176, 987–998 (2015). https://doi.org/10.1007/s12010-015-1623-1

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  • DOI: https://doi.org/10.1007/s12010-015-1623-1

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