Improving Cavalieri volume estimation based on non‐equidistant planar sections: The trapezoidal estimator

Stehr, Mads; Kiderlen, Markus; Dorph‐Petersen, Karl‐Anton

doi:10.1111/jmi.13141

Cited by 3 publications

References 23 publications

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A tool to automate assessment of regional brain atrophy in mouse models of neurodegenerative disease

Moldenhauer,

Potluri,

Xie

et al. 2024

Preprint

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As life expectancy rises, so too does the prevalence of neurodegenerative diseases. Neurodegeneration causes progressive regional brain atrophy, typically initiating prior to symptom onset. Researchers measure the impact of potential treatments on atrophy in mouse models to assess their effectiveness. This is important because treatments designed to combat neuropathology are more likely to modify the disease, per contra to symptom management. Magnetic resonance imaging, while accurate in measurement of brain region structure volumes, is prohibitively expensive. Conversely, stereological volume assessment, the process of estimating the volume of individual 3D brain regions from imaged 2D brain sections, is more commonly used. This involves manually tracing brain region(s) of interest in regularly spaced imaged cross-sections to determine their 2D area, followed by application of the Cavalieri principle to estimate the volume. The pertinent caveats of this approach are the labor-intensive manual tracing process, and potential inaccuracies that arise due to human variation. To overcome these challenges, we have created a Neuropathology Assessment Tool (NAT) to automate regional brain tracing and identification using artificial intelligence (AI) and concepts from topological data analysis. The NAT was validated by comparing manual and NAT analysis of striatal volume in Huntington disease model mice. The NAT detected striatal atrophy with higher efficiency, 93.8% agreement with manual measurements, and lower inter-group variability. The NAT will increase efficiency of preclinical neuropathology assessment, allowing for a greater number of experimental therapies to be tested and facilitating drug discovery intractable neurodegenerative diseases.

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A tool to automate assessment of regional brain atrophy in mouse models of neurodegenerative disease

Moldenhauer,

Potluri,

Xie

et al. 2024

Preprint

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Improving Cavalieri volume estimation based on non‐equidistant planar sections: The trapezoidal estimator

Stehr

Kiderlen

Dorph‐Petersen

2022

Journal of Microscopy

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The Cavalieri estimator allows one to infer the volume of an object from area measurements in equidistant planar sections. It is known that applying this estimator in the non-equidistant case may inflate the coefficient of error considerably. We therefore consider a newly introduced variant, the trapezoidal estimator, and make it available to practitioners. Its typical variance behaviour for natural objects is comparable to the equidistant case. We state this unbiased estimator, describe variance estimates and explain how the latter can be simplified under rather general but realistic models for the gaps between sections. Simulations and an application to a synthetic area function based on parietal lobes of 18 monkeys illustrate the new methods.

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Does Radioactive Iodine Treatment Affect Thyroid Size and Tracheal Diameter?

Yazici Demir,

Kaya,

Dayanan

et al. 2024

JCM

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Background/Objectives: There exist three principal treatment modalities employed in the management of hyperthyroidism attributable to excessive hormone secretion by the thyroid gland: antithyroid pharmacotherapy, surgical intervention, and radioactive iodine (RAI) therapy. Surgical intervention is typically indicated for markedly enlarged thyroid glands that exert pressure on the trachea. The objective of this investigation was to ascertain the influence of RAI on thyroid volume and tracheal diameter. Methods: This study included 20 patients, six females and 14 males, who received 20 mCi radioactive iodine treatment for toxic nodular goiter at a tertiary university hospital between March 2019 and February 2020. Pre-treatment and six-month post-treatment neck MRI scans were conducted on the cohort. Thyroid and tracheal volumes were quantified using the Cavalieri method based on MRI sections, and comparisons were conducted pre-and post-treatment. Statistical analysis of the comparative values was performed using the dependent samples t-test. Results: A statistically significant reduction in thyroid volume was observed among the 20 patients, averaging a decrease of 36.06% following RAI treatment compared to baseline measurements (p < 0.001). Additionally, an average increase of 12.76% in tracheal volume was noted post-treatment in comparison to initial measurements, which was also statistically significant (p < 0.05). None of the patients exhibited respiratory distress in the immediate postoperative period. Conclusions: The findings indicate that RAI therapy leads to a reduction in thyroid size, accompanied by an increase in tracheal diameters subsequent to treatment. Given the potential complications and risks associated with surgical intervention, it may be prudent to consider large thyroids for RAI therapy as an alternative to surgery.

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Improving Cavalieri volume estimation based on non‐equidistant planar sections: The trapezoidal estimator

Cited by 3 publications

References 23 publications

A tool to automate assessment of regional brain atrophy in mouse models of neurodegenerative disease

A tool to automate assessment of regional brain atrophy in mouse models of neurodegenerative disease

Improving Cavalieri volume estimation based on non‐equidistant planar sections: The trapezoidal estimator

Does Radioactive Iodine Treatment Affect Thyroid Size and Tracheal Diameter?

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