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Updated: Jun 1, 2026

Measurement of Tissue Non-Heme Iron Content using a Bathophenanthroline-Based Colorimetric Assay
Published on: January 31, 2022
Limitations of using logarithmic transformation and linear fitting to estimate relaxation rates in iron-loaded liver
Randolph Otto1, Mark R Ferguson, Kenneth Marro
1Department of Radiology, Seattle Children's Hospital, 4800 Sandpoint Way, Room R4488, Seattle, WA 98105, USA.
Background:
MRI is being increasingly used to evaluate tissue relaxation in the setting of iron overload. Diagnostic accuracy is strongly dependent upon the acquisition and analysis methods employed. Typically, a multi-echo train of relaxation data is acquired, the resulting curve is fit using a non-linear (exponential) function, and the derived relaxation time is converted to iron concentration by a calibration formula derived from paired MRI-biopsy samples. A theoretically valid processing alternative is to fit a straight line to the relaxation data after logarithmic transformation (log-linear). This log-linear method is more computationally efficient, allowing a full relaxation map to be generated in near real time. This method is present on all scanner platforms and has been published for use in assessing iron concentration. These factors imply methodological validity.
Objective:
To use in vivo and simulation data to show that log-linear fitting can generate highly erroneous relaxation results in iron-loaded tissues.
Materials And Methods:
After IRB approval, exponential and linear fitting were compared in a cohort of 20 patients being evaluated for hepatic iron overload. Simulation analyses were performed to characterize the main factors impacting derived results.
Results:
In human subjects, log-linear analyses demonstrated gross deviation from exponential results at a moderate relaxation shortening (T2* ~5 ms). Simulation analyses demonstrated that the discrepancy was caused by noise effects and additional signal components violating mono-exponential function shape.
Conclusion:
Log-linear processing results in increasingly erroneous estimation of T2* with iron-loading. Therefore, this method should not be employed for measurement of relaxation behavior in clinical samples.
Insights
Log-linear fitting for MRI relaxation data in iron overload leads to inaccurate T2* measurements, especially with increased iron. This method should be avoided for clinical assessments due to noise and signal complexities.
Area of Science:
- Medical Imaging
- Biophysics
- Radiology
Background:
- Magnetic Resonance Imaging (MRI) is crucial for assessing tissue relaxation in iron overload conditions.
- Accurate iron concentration measurement relies heavily on MRI acquisition and analysis techniques.
- Traditional methods involve fitting multi-echo relaxation data to an exponential function and converting relaxation time to iron concentration via calibration.
Purpose of the Study:
- To demonstrate that log-linear fitting of MRI relaxation data can produce significantly erroneous results in iron-loaded tissues.
- To evaluate the reliability of the computationally efficient log-linear method compared to traditional exponential fitting.
Main Methods:
- Comparison of exponential and log-linear fitting methods in 20 patients with hepatic iron overload.
- In vivo data acquisition and analysis.
- Simulation analyses to identify factors influencing fitting accuracy.
Main Results:
- Log-linear analysis showed significant deviations from exponential fitting results in human subjects with moderate relaxation shortening (T2* ~5 ms).
- Simulation studies revealed that noise and non-mono-exponential signal components contribute to discrepancies.
- The error in log-linear estimation of T2* increases with greater iron loading.
Conclusions:
- Log-linear fitting is unreliable for measuring relaxation behavior in clinical samples due to increasing errors with iron loading.
- The presence of noise and complex signal behaviors violates the assumptions of the log-linear model.
- Exponential fitting remains the preferred method for accurate T2* quantification in iron-overload assessment.
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