An equation for fitting distance-based measurements with analyte concentrations: From discrete segments simulation to closed-form solution
Issued Date
2024-08-01
Resource Type
eISSN
26668319
Scopus ID
2-s2.0-85185163076
Journal Title
Talanta Open
Volume
9
Rights Holder(s)
SCOPUS
Bibliographic Citation
Talanta Open Vol.9 (2024)
Suggested Citation
Wilairat P. An equation for fitting distance-based measurements with analyte concentrations: From discrete segments simulation to closed-form solution. Talanta Open Vol.9 (2024). doi:10.1016/j.talo.2024.100296 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/97357
Title
An equation for fitting distance-based measurements with analyte concentrations: From discrete segments simulation to closed-form solution
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Author's Affiliation
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Abstract
In this study, an equation for fitting the band lengths in µPADs to the concentrations/amount of analyte added to the µPAD sample area is derived. A simulation of the band formation is carried out using a discrete segment model. The detector channel is divided into equal segments with the same amount of reagent R in each segment. The sample moves into the channel in steps corresponding to segments of the same size as the detector segment. Each sample segment contains analyte A at C mole ratio to reagent R. Assuming a stoichiometric ratio of 1:1 for reaction between A and R, there will be formation of only one product band in each detector segment. By examining the number of bands (n) formed after N steps, a set of linear algebraic equations is derived to determine the number of bands (n) for any integer values of N and C. By extrapolating this result to real positive numbers, we obtain the equation L=a.CA/(b + CA), where L represents the band length, and CA represents the concentration/amount of analyte. The equation represents a rectangular hyperbola.