Field Flow Fractionation Bijective Mapping for Charge Analysis
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Solution Overview
Problem
Conventional field flow fractionation methods for determining physical properties related to the charge of constituents are limited by their reliance on non-bijective mappings of measurement values over time, which restricts the computation of electrophoretic mobilities to only peak-related time differences.
Innovation Solution
The method involves obtaining two fractograms of a sample using different electrical field strengths, and then using bijective mappings to determine physical properties related to the charge of constituents by computing values from intensity values at various time instances, allowing for the computation of electrophoretic mobilities across a wider range of time values using a single detector.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If conventional field flow fractionation methods use non-bijective mapping of measurement values over time, then the method is simpler to implement, but the computation of electrophoretic mobilities is restricted to only peak-related time differences
Solution Approach 1:
The patent transforms the non-bijective mapping into a bijective mapping by introducing a cumulative distribution function that monotonically increases with time. This parameter transformation allows each measurement value to correspond to a unique time point, enabling electrophoretic mobility computation across the entire fractogram range rather than仅限于peak positions.
2Productivity
If only peak time differences are used for computing electrophoretic mobilities, then the calculation is simpler, but the applicability is limited to discrete peak points
Solution Approach 1:
The patent extends the computation of electrophoretic mobilities from discrete peak points to continuous time values across the entire fractogram. By using the bijective cumulative distribution mapping, the method enables continuous determination of physical properties throughout the measurement range, maximizing the utility of all collected data rather than仅using peak points.
3Measurement precision
If conventional methods rely on peak comparisons between fractograms, then the method is easier to operate, but measurement precision is reduced due to limited data points
Solution Approach 1:
The patent applies a mathematical transformation that converts intensity values into cumulative distribution values, creating a bijective relationship with time. This parameter change enables precise determination of electrophoretic mobilities at any time point by comparing corresponding cumulative distribution values between fractograms, significantly improving measurement precision while maintaining operational feasibility through automated computation.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables the determination of physical properties related to the charge of constituents for various time instances of a fractogram, improving the applicability and efficiency of field flow fractionation measurements by allowing the computation of electrophoretic mobilities over a broader range of values.
Implementation Method 1
the electrophoretic mobility of constituents of a sample is often obtained based on a time difference between corresponding peaks of a first fractogram and a second fractogram
Data Source
AI summary
A method for determining a physical property related to a charge of a constituent of a sample, from field flow fractionation measurements with an additional electrical field, comprising the steps of obtaining a first fractogram of a first sample and a second fractogram of a second sample, wherein the first sample and the second sample are samples of a same substance, the first fractogram has been generated using a first electrical field, the second fractogram has been generated using a second electrical field, and a strength of the first electrical field and a strength of the second electrical field are different from each other; determining, by using a first mapping, from a first intensity value of the first fractogram, a first value and determining, by using a second mapping, from a second intensity value of the second fractogram, a second value; and determining, based on the first value and the second value, a physical property related to a charge of a constituent of at least one of the first sample and the second sample; wherein the first mapping maps the first intensity value to the first value of a first bijective function over time and the second mapping maps the second intensity value to the second value of a second bijective function over time.