Calculated tumour volume as a prognostic parameter for survival in choroidal melanomas

Abstract

Purpose Tumour diameter, tumour height, and tumour volume are considered important prognostic indicators of survival in choroidal melanomas. In this study, we investigated the prognostic impact on survival of the easily calculated volume estimate based on the assumption of a half-rotation ellipsoid. Methods The largest tumour diameter and tumour height were measured by ultrasound A-and B-scan in 93 patients with choroidal melanoma. Tumour volume was calculated by the half volume of a rotation ellipsoid formula, rotated around the y-axis, and compared to tumour diameter and tumour height. All parameters were correlated to the clinical outcome of the patients. Results At the time of diagnosis, the mean diameter was 10.4 mm (range 4.1-18.9 mm), and the mean height was 5.7 mm (range 1.74-14.9 mm). The range of the calculated tumour volume was between 11 and 628 mm 3 (mean volume 190 mm 3 ). Among all patients, distant metastases occurred in 10 patients (10.8%). In a univariate approach using Mantel-Haenszel log-rank test, the calculated tumour volume at the time of diagnosis was the best prognostic indicator of survival followed by tumour diameter and tumour height (P ¼ 0.028). When tumour volume, horizontal and vertical tumour diameter, age, sex, and primary tumour therapy were considered in a multivariate approach using Cox proportional Hazard model, only tumour volume turned out as a significant prognostic parameter (P ¼ 0.001). Conclusions Calculated tumour volume is a better prognostic indicator of survival of patients with choroidal melanomas than the largest tumour diameter and tumour height, and might be established in daily routine.

Natural history of periocular capillary haemangiomas: changes in internal blood velocity and lesion volume

“…The size of the haemangioma was estimated by assuming a rotational ellipsoid, as described previously, 6 in which the volume is calculated by the formula: Estimated Volume ¼ 4pðx:y:zÞ 3…”

“…Linear measurement of an orbital mass in three orthogonal dimensions allows an estimation of the volume. 6 The spectrum of velocity within orbital capillary haemangiomas and the changes of velocity during tumour growth and involution are, however, unreportedFas are the temporal changes in dimensions of such lesions.…”

Calculated tumour volume as a prognostic parameter for survival in choroidal melanomas

“…2 A Cox regression multivariate model that combined LBD (mean 13 mm, range 3-25) and tumour height (mean 7.8 mm, range 1-20), fitted to survival data significantly better (P ¼ 0.0031, difference between models; Table 1) than a model based on tumour volume as calculated by Richtig et al 1 Of models that included only one size parameter (LBD, height, and volume), the one based on LBD fitted to the survival data best and was superior to the one based on volume (P ¼ 0.020, Table 1). …”

“…1 They answered in the positive and also suggested that tumour volume be calculated in daily routine.…”

Mathematical Modeling for Quantum Electron Wave Therapy

“…We can therefore plot a 2D graph which represents our pr ility nsity function [9]. The integral which calculates the probability density function is calculated between two points, in obab de this case, the diameter of a cancer cell [10].…”