Observational Study Open Access
Copyright ©The Author(s) 2025. Published by Baishideng Publishing Group Inc. All rights reserved.
World J Nephrol. Mar 25, 2025; 14(1): 96946
Published online Mar 25, 2025. doi: 10.5527/wjn.v14.i1.96946
Role of variation coefficient of stone density in determining success of shock wave lithotripsy in urinary calculi
Nadeem Iqbal, Department of Urology and Kidney Transplant, Shifa Intl Hospitals, Islamabad 44790, Pakistan
Nadeem Iqbal, Department of Urology, Pakistan Kidney and Liver Institute, Lahore 54000, Punjab, Pakistan
Aisha Hasan, Department of Biochemistry, Riphah International University, Rawalpindi 44000, Punjab, Pakistan
Sajid Iqbal, Department of Rehabilitation, PNS Karachi, Karachi 75950, Sindh, Pakistan
Sadaf Noureen, Department of Medicine, Groves Medical Center, New Malden, London KT3 3PB, United Kingdom
Saeed Akhter, Department Urology, Shifa International Hospital Islamabad, Islamabad 44000, Pakistan
ORCID number: Nadeem Iqbal (0000-0001-7154-9795); Aisha Hasan (0000-0002-2149-4594); Sajid Iqbal (0000-0002-2453-1717); Sadaf Noureen (0009-0004-7724-5927); Saeed Akhter (0000-0001-5289-0998).
Author contributions: Iqbal N conceived the idea, designed the study, collected the data, performed statistical analysis & manuscript writing manuscript and editing, and is responsible for the integrity of research; Hasan A, Iqbal S, and Noureen S were responsible for data collection, statistical analysis, and manuscript writing; Iqbal S was responsible for manuscript proofreading; Akhter S conceived the idea, designed the study, performed statistical analysis & manuscript editing, and is responsible for the integrity of research.
Institutional review board statement: This study was approved by the local Institutional Review Board.
Informed consent statement: All patients provided informed consent before the SWL procedure.
Conflict-of-interest statement: The authors have nothing to disclose for this article.
Data sharing statement: No additional data are available.
STROBE statement: The authors have read the STROBE Statement—checklist of items, and the manuscript was prepared and revised according to the STROBE Statement—checklist of items.
Open-Access: This article is an open-access article that was selected by an in-house editor and fully peer-reviewed by external reviewers. It is distributed in accordance with the Creative Commons Attribution NonCommercial (CC BY-NC 4.0) license, which permits others to distribute, remix, adapt, build upon this work non-commercially, and license their derivative works on different terms, provided the original work is properly cited and the use is non-commercial. See: https://creativecommons.org/Licenses/by-nc/4.0/
Corresponding author: Nadeem Iqbal, FCPS, Surgeon, Department of Urology and Kidney Transplant, Shifa Intl Hospitals, House 305, Railways Colony, Transit Chowk, Islamabad 44790, Pakistan. dr_nadeemiqbal84@yahoo.com
Received: May 18, 2024
Revised: August 10, 2024
Accepted: September 3, 2024
Published online: March 25, 2025
Processing time: 246 Days and 14.5 Hours

Abstract
BACKGROUND

Various stone factors can affect the net results of shock wave lithotripsy (SWL). Recently a new factor called variation coefficient of stone density (VCSD) is being considered to have an impact on stone free rates.

AIM

To assess the role of VCSD in determining success of SWL in urinary calculi.

METHODS

Charts review was utilized for collection of data variables. The patients were subjected to SWL, using an electromagnetic lithotripter. Mean stone density (MSD), stone heterogeneity index (SHI), and VCSD were calculated by generating regions of interest on computed tomography (CT) images. Role of these factors were determined by applying the relevant statistical tests for continuous and categorical variables and a P value of < 0.05 was gauged to be statistically significant.

RESULTS

There were a total of 407 patients included in the analysis. The mean age of the subjects in this study was 38.89 ± 14.61 years. In total, 165 out of the 407 patients could not achieve stone free status. The successful group had a significantly lower stone volume as compared to the unsuccessful group (P < 0.0001). Skin to stone distance was not dissimilar among the two groups (P = 0.47). MSD was significantly lower in the successful group (P < 0.0001). SHI and VCSD were both significantly higher in the successful group (P < 0.0001).

CONCLUSION

VCSD, a useful CT based parameter, can be utilized to gauge stone fragility and hence the prediction of SWL outcomes.

Key Words: Computed tomography; Shock wave lithotripsy; Stone heterogeneity; Variation coefficient of stone density; Kidney stones

Core Tip: In the recent literature various computed tomography (CT) based stone parameters have been studied regarding their role in success of shock wave lithotripsy. These non-contrast CT parameters include skin-stone distance, stone volume, and stone density, which might help in prediction of the success of shock wave lithotripsy (SWL). In recent guidelines, it has been agreed upon that successful outcomes become less likely for harder stones-stone density more than 900-1000 Hounsfield units. Recently, novel parameters such as stone heterogeneity index and variation coefficient of stone density can be representative of stone heterogeneity and can be of utility in prediction of SWL outcome. We, in this study, tried to ascertain their predictive role in shock wave lithotripsy outcomes.



INTRODUCTION

Extracorporeal shock wave lithotripsy (SWL) became an astounding introduction in the armament for treating renal stones. As the time progressed, it precipitously attained popularity across the world. With subtle technological innovations in the techniques of SWL, better procedural outcomes were observed[1]. Owing to this reason, SWL proved itself to have a solid role in the principles of managing kidney and ureter stones[2]. One of the pivotal factors for SWL being an attractive option is its noninvasiveness nature. It can easily be performed as a day case procedure without need for anesthesia[3,4].

In last few years researchers have found that despite the non-invasive nature of SWL procedure, there are certain situations where its effectivity seems to be lower in terms of stone free rates when compared to the outcomes of ureteroscopy (URS), retrograde intrarenal surgery, or percutaneous nephrolithotomy (PCNL). Such procedural failure of SWL might add to prolonged symptoms and burden of ancillary therapy and expenses[5]. Therefore, it entails the fact to identify the predictive tools to predict SWL success and to work out a suitable treatment strategy for patients with upper tract stones.

Stone characteristics, such as locality and size, have been explored in the context of their possible effects on SWL success[6]. Additionally, in the recent past increasing evidence is being collected regarding non-contrast computed tomography (CT) parameters, such as skin-stone distance (SSD), stone volume, and stone density, which might help in prediction of SWL procedural success[7-9]. One of these predictors, SSD, has remained controversial and has failed to be proven as a real predictor[10-12]. Stone density, on the other hand, has proved to be a promising factor in foretelling the SWL outcomes. In recent guidelines it has been agreed upon that successful outcomes become less likely for harder stones, especially when stone density is more than 900-1000 Hounsfield units (HUs). In the latest literature it has been pointed out that some new factors such as stone heterogeneity can influence shock wave outcomes[12-15]. In one study it was found that the inside structural architect of a stone (when seen on CT imaging) helped in predicting extent of stone fragility (in vitro) when subjected to SWL[12-15].

Owing to the absence of any established way of computing stone heterogeneity on CT images, it is imperative to find an authentic and validated form of such calculation. Having said that, it is the need of the hour to dig out CT based tools that might portray stone fragility (heterogeneity) and to look for its capability for predicting SWL outcomes.

Recently it was hypothesized that variation coefficient of stone density (VCSD) can be representative of stone heterogeneity and be of utility in prediction of SWL outcome.

We in this study tried to add and try this novel concept in our clinical practice for treatment of renal and ureter stones. It will not only augment our belief in the authenticity of this newly found concept but also pave a way for its incorporation in nomograms and decision pathways for urologists in treating stones by SWL.

MATERIALS AND METHODS

In total, 407 patients were included for the final analysis as their CT images were available for the desired computations on PACS system of radiology. Moreover they had completed the follow-up in urology clinic. The inclusion criteria were age more than 18 years (adult age), no prior history of lithotripsy or surgery on ipsilateral side, no anatomical abnormality of the ipsilateral kidney or ureter, and normal coagulation functions. On the other hand, subjects were excluded from study in case of failure to comply with follow-up visits in urology clinic, presence of active urinary tract infection, deranged coagulation profile, and history of prior procedures on the ipsilateral ureter or kidney.

We conducted detailed charts review and prospectively collected data for variables such as patient age, body mass index, gender, stone laterality (left or right), stone anatomical location in the kidney or ureter. This study was approved by the institutional review board of our hospital. On initial visit at urology clinic, all patients were diagnosed after taking their thorough history and performing physical examination prior to subjecting them to SWL. The radiological assessment was made with kidneys, ureter, and bladder radiography (X-ray KUB) and non-contrast CT (NCCT). Only those patients became part of the final analysis who had undergone CT imaging prior to SWL. Utmost care was taken that urine culture of every patient was done prior to the commencement of the procedure. They could undergo the SWL procedure only if their urine cultures were found negative for any growth of organisms. In addition to this, blood biochemistry and complete count along with coagulation tests were also conducted prior to the procedure in all subjects. Informed consent was taken from the patients after counselling them regarding the possible outcomes regarding SWL treatment.

SWL procedural technique and outcomes

All patients were subjected to SWL, utilizing the 3rd generation electromagnetic lithotripter Storz Modulith SLX-MX. Patients were positioned supine for procedure. Stone targeting was achieved with utilization of fluoroscopy (Modulith SLX-MX) further assisted with ultrasound (model Aloka SSD-Thousand; 1000). Shock waves were delivered at a rate of 90 shock waves per minute. Initially, 500 shocks were delivered at the energy level 2 and then a gradual ramping up to energy levels 3 and 4 was done for next 2000-2500 shocks. We proclaimed patients in this study to have secured stone free status if there was no proof of residual stone fragments or clinically insignificant residual stone fragments with a size less than 4 mm depicted on plain X-ray (KUB) or abdomen and pelvis ultrasound done three months after the last lithotripsy session. In case of need for ancillary procedures such as PCNL or URS or Double J stenting, subjects were assigned to the SWL procedural failure group.

Computation of CT based predictors

We collected various CT based important variables such as stone density, stone heterogeneity index (SHI), skin-stone distance, stone volume, and VCSD. Two urologists and a radiologist appraised all CT images and utilized the PACS system for this purpose. Stone volume was estimated by using the ellipsoid formula SV = π/6 × (Antero-posterior × Transverse × Cranio-caudal diameters of the stone in mm) and final volume was computed as mm3 (Figure 1A). For computing the SSD values, the methodology illustrated by Pareek et al[15] was used. Skin-stone distance computation is shown in Figure 1B. Computation of mean stone density (MSD; mean value of HUs) was accomplished on an axial image (CT) by generating an elliptical region of interest, portraying stone in its longest dimension. Particular attention was given not to include any soft tissue while gauging the stone density (Figure 1C).

Figure 1
Figure 1 How stone volume, skin to stone distance, mean stone density, stone density standard deviation (stone heterogeneity index), and variation coefficient of stone density were calculated. A: Stone volume was calculated based on measurements of breadth, length, and height and using the formula SV = π/6 × Antero-posterior × Transverse × Cranio-caudal diameters of the stone in mm), and the final volume is expressed in mm3; B: Skin to stone distance measured (58.53 mm in this example); C: Area of interest on the stone shows a mean stone density (MSD) of 1507.95 and stone density standard deviation (SDSD) of 37.03 (also called stone heterogeneity index). Variation coefficient of stone density was the variable of interest in the present study and computed by utilizing the formula [(SDSD)/(MSD)] ×100 (%).

Mean stone density (MSD) is expressed as the mean value of HUs computed in the region of interest. SHI was calculated as the standard deviation value of HUs in that same designated region of interest as shown in Figure 1. VCSD, the variable of pivotal interest in the present study, was interpreted and computed by utilizing the formula [stone density standard deviation (SDSD)/MSD × 100%]. Please refer to Figure 1 for understanding how stone volume, SSD, and MSD, SDSD (SHI), VCSD were calculated.

Statistical analysis

After gathering of information for the variables in specified proformas, it was entered in Statistical Package for Social Sciences, version 16 (SPSS Inc.; Chicago, IL, United States) for computations and statistical analyses. Continuous variables such as calculus volume, subject age, stone density, and SHI were compared by employing the Student’s t-test and Mann Whitney test where applicable. Categorical variables were compared by using the Pearson’s χ2 test. A P value of < 0.05 (Two-tailed) was ascertained to be statistically significant while constructing these comparisons.

RESULTS

There were a total of 407 patients included in the analysis. Among these, 113 were female patients. The mean age of the subjects in this study was 38.89 ± 14.61 years (Table 1). Most of the stones were located on the left side (Table 1). Median stone density was 900 HUs. In 316 of the patients stones were lying in renal location (Table 1).

Table 1 Demographic features of patients and stones.
Demographic parameter
Result
Age (years)38.89 ± 14.61
Gender, n (%)
    Male294 (72.2)
    Female113 (27.8)
Stone volume223.34 ± 77.01
SSD (cm)19.52 ± 2.47
Stone density (HUs)900 (110-1570)
SHI (HUs)2174.85 (17.7-583.9)
VCSD322 (3-83)
Stone laterality, n (%)
    Left sided213 (52.3)
    Right sided194 (47.7)
Location stone, n (%)
    Renal316 (77.64)
    Ureter91 (22.36)

In total, 165 out of the 407 patients could not achieve stone free status. Comparison of different patient related characteristics and stone features between the successful and unsuccessful groups is summarized in Table 2. It is evident from Table 2 that there was no significant difference in terms of age (P = 0.93) or gender ratio (P = 0.78) between the successful and unsuccessful groups of patients. The successful group (group 2) had a significantly lower stone volume as compared to the group 1 (the unsuccessful group) (P < 0.0001). SSD was not significantly different between the two groups (P = 0.47). Moreover, MSD, SHI, and VCSD were significantly different between the two groups. MSD was significantly lower in group 2 (the successful group) (P < 0.0001). SHI and VCSD were both significantly higher in the successful group (P < 0.0001).

Table 2 Characteristics of patients and stones in stone free and failure groups.
Parameter
Unsuccessful group
Successful group
P value
Age (years)138.82 ± 13.8438.94 ± 15.130.93
Gender, n (%)0.78
    Male118176
    Female4766
Stone volume2240 (80-439)200 (36-400)< 0.0001
SSD (cm)19.63 ± 2.329.45 ± 2.560.47
Stone density (HUs)21217.30 (318-2000)720.00 (110-1800)0.0001
SHI (HUs)2172.95 (22.7-571.4)190.15 (17.7-583.9)< 0.0001
VCSD215 (2-92)28 (4-83)< 0.0001
Stone laterality, n (%))0.19
    Left sided80133
    Right sided85109
Stone location0.69
    Upper pole1217
    Mid pole2938
    Lower pole4679
    Pelvis3955
Ureter3953

Table 3 summarizes the net results after application of univariate and multivariate logistic regression for variables that could predict success of SWL after first session for subjects included in this study. In univariate analysis, higher MSD (P < 0.0001), lower values of standard deviation of stone density (P < 0.0001), lower values of VCSD (P < 0.0001), and larger stone volume (P < 0.0001) were linked to failure of the SWL procedure. On computing multivariate analysis, higher MSD (P < 0.0001), lower values of VCSD (P < 0.0001), and larger stone volume (P < 0.005) were strong predictors of SWL failure (Table 3). Figure 2 shows the receiver operating characteristic (ROC) curves generated for VCSD, SHI, stone volume, and stone density, which suggest good predictive value of VCSD for SWL success rates.

Figure 2
Figure 2 Receiver operating characteristic curves of stone variables including stone volume, stone density, standard deviation of stone density, and variation coefficient of stone density in relation to shock wave lithotripsy success. ROC: Receiver operating characteristic; VCSD: Variation coefficient of stone density.
Table 3 Univariate and multivariate logistic regression analyses for significant factors regarding shock wave lithotripsy (one-session success).
VariableUnivariate
Multivariate
OR
95%CI
P value
OR
95%CI
P value
Mean stone density1.0031.003-1.004< 0.00011.0030.424-1.346< 0.0001
Standard deviation of stone density0.9960.995-0.998< 0.00010.9970.993-1.0010.13
VCSD (%)10.8950.874-0.917< 0.00010.9290.894-0.964< 0.0001
Stone volume (mm3)1.0091.007-1.012< 0.00011.0051.002-1.009< 0.005
Age (year)0.990.985-1.0120.86
Skin-stone distance1.020.947-1.1120.52
Gender (male)0.9490.611-1.4750.81
DISCUSSION

Research studies in last few years regarding outcomes of SWL have demonstrated considerable variations of success rates (as miniscule as 32% up to 95%). Such variations in outcomes forced urologists and researchers to hunt for factors that might influence the main outcome and the decision-making process by the treating urologist[16,17]. An unprecedented study was reported in 2005, which narrated the concept that SSD calculated by using NCCT can be a crucial predictive factor with regards to SWL procedural success in patients. It was the introductory study to correlate outcomes of ESWL to SSD[12].

Next studies led by other authors revealed effects of stone size and stone density upon net results of SWL[18,19]. As more findings accumulated in favor of role of these factors, step by step efforts were done to find more factors that could predict post-procedural net results. These efforts were done to aid in more suitable selection of patients to be subjected to SWL.

Recently some more urinary stone features (based on CT images) have been investigated to look for their possible effect on net results of the SWL procedures. The present study examined these new radiologic features of stones seen on CT images, including the heterogeneity of stone density and VCSD and obtained some important observations. To the best of our knowledge, this is the first study where the confounding factor of SSD was eliminated between the stone free and stone failure groups due to the type of patients included.

As described already, the role of stone density has been established over various reports in past few years. It has become a beneficial parameter to gauge and foretell SWL success[16-19]. It is therefore utilized widely nowadays in urological clinics regarding counselling patients about possible outcomes. In a study by Bulut et al[19] differences in stone characteristics, including stone density and volume, were statistically significant in patients who achieved stone-free status by SWL or not. Nevertheless, MSD can depict just the average value of hardness of the stone. In other words, the internal structural and chemical diversity of a urinary stone (the heterogeneity of chemical composition of stone) is not given consideration. Recently limited studies have tried to look for feasible role of heterogeneity of stones as vital feature for foretelling success of SWL[17-20]. These studies mentioned the possibility of usefulness of the SHI (on the basis of CT images). Recently, Lee et al[20] suggested that SHI could be used to predict net result of SWL in subjects with urinary calculi. However, it is pertinent to note here that SHI illustrates standard deviation values of the mean value of stone density, in that case it is likely to be governed by the mean value, an important point to ponder over. According to Lee et al[20], in subjects who had higher stone density (MSD ≥ 1000 HUs), the SHI value was strikingly higher in the one-session success group compared to the failure group (308 ± 92 HU vs 251 ± 55 HU). It underscored the fact that SHI is an important predictor of SWL success rates.

On the contrary, the new entry of a tool called variation coefficient, which can be obtained by dividing the value of the standard deviation of stone density by the mean value of stone density, can be a more useful predictive tool. Yamashita et al[21] postulated that VCSD might represent stone heterogeneity better as compared to SHI only. Yamashita et al[21] advocated VCSD as a new tool that may be utilized for predicting SWL net results. They mentioned that high VCSD values basically show substantial dispersion of stone density (so it can give comprehensible picture of heterogeneity in the inner structure of the stone in question). By performing ROC curve analysis, they deduced a cut off value of 51.3% (for VCSD) for successful SWL. They detected that success for procedure was nearly 64% for a value of VCSD higher than 51.3%. On the other hand, in stones having a less than 51% value of VCSD, only 26% of the study subjects achieved stone free status. Previous reports have mentioned the role of heterogeneity of stones to be of vital significance. The more the heterogeneity of stone density, the more the fragility of the stone and such a stone can be easily cracked when subjected to SWL. The VCSD values are higher in stones having higher values of stone heterogeneity. A good point about VCSD is that it has more practicable value as it gives the ratio of the heterogeneity of stones to the true mean density values of stones. Thus, two stones may have the same heterogeneity values but if their mean density values are different, then in such tricky scenario VCSD value will guide better regarding the inclination of a stone to fragility. For instance, if heterogeneity values of two different stones are 300 (similar) and MSD values are 500 and 1000 HUs (different for the two stones), VCSD shall be a better guiding tool because for first stone VCSD = 61% (higher value) and for second stone VCSD = 30% (lower value). The stone with higher VCSD indicates a higher degree of dispersion of density values and is thus affected not only by heterogeneity value but also by the MSD value at the same time[20,21].

Yamashita et al[21] found that higher VCSD is the independent significant predictor of SWL success (P < 0.001) in overall patients. We also had similar results as can be seen in Table 3. Median stone density, median SDSD, and median VCSD were 545.0 HUs, 283.0 HUs, and 54.0%, respectively, in the study by Yamashita et al[21]. The present study was slightly different from their study in a way that we had considered impact of VCSD in stones having higher mean density (median 900 HUs) with lower SDSD (median 174.85) and VCSD values (22%) as compared to theirs (Table 1). We had a stone free rate of 59.4% as compared to their success rate of 47.7%. This may be due to their higher SSD (10.4 cm) as compared to that of the present study (9.52 cm). Second, they considered patients with multiple stones that could have resulted inferior success rates. Third, they had comparatively larger median stone volume resulting in higher rates of failure.

SHI and VCSD are new stone CT-based parameters being investigated nowadays. Prior to this, stone density, SSD, and stone volume have been explored regarding their effect on SWL success rates. Ouzaid et al[22] inferred that stones of more than 970 HUs had higher chances of SWL failure. El-Nahas et al[10] pointed out that an MSD value of more than 1000 HUs was a vital tool to predict SWL procedural failure.

Ozgor F et al[23] in their remarkable research work mentioned that differences in stone characteristics, including stone location, density, and volume, were statistically significant in patients who achieved stone-free status by SWL or not (P < 0.001, P < 0.001, and P < 0.001, respectively). In another similar study, stone free status was attained in 160 patients (57.7%), and 117 (42.3%) patients were labeled to have failed the procedure. Differences between these two groups in terms of stone volume, stone density, and SSD were significant[24].

The present study has some strengths, e.g., the SSD was lesser as compared to contemporary studies to remove its confounding effect that could have affected the results differently. However, this study also has limitations such as lack of randomization based on different stone size and stone density. Lastly, it was a single center study, so its results may not necessarily be generalized. There are no multicenter studies regarding this aspect of stone feature. We believe that more investigative studies are required to ascertain the role of VCSD concept in decision pathway utilized by urologists. It can be a useful tool and can be informative for both physicians and patients for making a shared decision regarding treatment planning.

CONCLUSION

It is inferred that VCSD is an advantageous CT-based tool to predict stone success rate. Moreover, it can be of help to both the physicians and patients in making shared decisions regarding SWL procedure. Incorporation of VCSD in nomograms may further enhance its role in such decision-making.

ACKNOWLEDGEMENTS

We are thankful to Prof. Saeed Akhter for his unwavering support.

Footnotes

Provenance and peer review: Invited article; Externally peer reviewed.

Peer-review model: Single blind

Specialty type: Clinical neurology

Country of origin: Pakistan

Peer-review report’s classification

Scientific Quality: Grade B

Novelty: Grade C

Creativity or Innovation: Grade B

Scientific Significance: Grade A

P-Reviewer: Chen H S-Editor: Lin C L-Editor: Wang TQ P-Editor: Zheng XM

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