Columna vertebral

Reduced cement volume does not affect screw stability in augmented pedicle screws

Reduced cement volume does not affect screw stability in augmented pedicle screws

Weiser, L., Sellenschloh, K., Püschel, K. et al. Reduced cement volume does not affect screw stability in augmented pedicle screws. Eur Spine J 29, 1297–1303 (2020).



Cement augmentation of pedicle screws is able to improve screw anchorage in osteoporotic vertebrae but is associated with a high complication rate. The goal of this study was to evaluate the impact of different cement volumes on pedicle screw fatigue strength.


Twenty-five human vertebral bodies (T12–L4) were collected from donors between 73 and 97 years of age. Bone density (BMD) was determined by quantitative computed tomography. Vertebral bodies were instrumented by conventional pedicle screws, and unilateral cement augmentation was performed. Thirteen vertebrae were augmented with a volume of 1 ml and twelve with a volume of 3 ml bone cement. A fatigue test was performed using a cranial–caudal sinusoidal, cyclic load (0.5 Hz) with increasing compression force (100 N + 0.1 N/cycles).


The load to failure was 183.8 N for the non-augmented screws and was increased significantly to 268.1 N (p < 0.001) by cement augmentation. Augmentation with 1 ml bone cement increased the fatigue load by 41% while augmentation with 3 ml increased the failure load by 51% compared to the non-augmented screws, but there was no significant difference in fatigue loads between the specimens with screws augmented with 1 ml and screws augmented with 3 ml of bone cement (p = 0.504).


Cement augmentation significantly increases pedicle screw stability. The benefit of augmentation on screw anchorage was not significantly affected by reducing the applied volume of cement from 3 ml to 1 ml. Considering the high risk of cement leakage during augmentation, we recommend the usage of a reduced volume of 1 ml bone cement for each pedicle screw.

Graphic Abstract

These slides can be retrieved under Electronic Supplementary Material



Osteoporosis commonly causes vertebral fractures, and posterior spinal stabilization using pedicle screw fixation may be required [1,2,3,4]. However, various biomechanical studies have shown that pedicle screw fatigue load as well as pull-out force are significantly decreased in bone with reduced density and accordingly loosening of pedicle screws and progressive kyphotic deformity due to poor bone mineral density are frequently encountered in osteoporotic patients [5,6,7,8,9,10,11].

Cement augmentation of pedicle screws is increasingly used in order to improve fixation strength in osteoporotic patients [12,13,14,15]. Biomechanical studies have shown an approximately twofold increase in pull-out force and an increase in load to failure in cyclic testing by 52% for augmented pedicle screws [16,17,18,19]. However, cement augmentation of pedicle screws is associated with relevant complications such as leakage and embolism [2021]. Symptomatic complications are reported in 5.5%, asymptomatic cement leakage in 66.7% and anaphylactic reactions in 1.2% of patients treated with augmented pedicle screws [21]. It has been shown that reducing the cement volume during augmentation is able to significantly reduce the risk of cement leakage [20]. Nevertheless, there is still controversy regarding the sufficient cement volume for screw augmentation.

The aim of this in vitro study was to evaluate the impact of different cement volumes on pedicle screw fatigue strength in osteoporotic/osteopenic vertebrae.

Materials and methods

Eight thoracolumbar spines (T12–L4) from human donors aged 73 years and above (3 female, 5 male) were collected. They were sealed in plastic bags and stored below − 20 °C. While frozen, the specimens underwent computer tomography (CT) using a 16 row scanner (Brilliance 16 CT; Philips Healthcare, Hamburg, Germany). A solid calibration phantom (Bone Density Calibration Phantom; QRM, Moehrendorf, Germany) was included to determine the apparent volumetric bone mineral density (vBMD) of the vertebral bodies by linearly converting the Hounsfield unit (HU) from a defined voxel cube from the centre of the vertebral body to the phantom’s reference densities (Avizo 5.1, VSG Inc., Burlington, MA). A total of 25 vertebral bodies with osteopenic/osteoporotic bone mineral density (BMD; below 100 mg/cm3) in which no bone changes such as fractures, osteolysis, implants or very unevenly distributed bone density, shown in the CT scan, were identified and included into the study (Table 1).Table 1 Specimens given with age, gender, vertebral body level and corresponding BMD for the groups 1 ml and 3 ml cement augmentationFull size table

The specimens were thawed overnight and prepared for mechanical testing. Hence, dissection of the vertebrae and removal of the tissues care were taken to moisture the specimens with Ringer solution to prevent trying out of the tissue. Self-tapping, cannulated, augmentable, polyaxial screws (6.0 mm × 45 mm, CFX, DePuy Synthes Inc., West Chester, PA) were inserted under fluoroscopic guidance into both pedicles. Screws were positioned parallel to the vertebral end plate. After screw implantation, one screw was cement-augmented (VertaPlex HV, Stryker Inc., Kalamazoo, MI)—12 vertebral bodies augmented with a volume of 3 ml and 13 with 1 ml of bone cement. Radiological assessment confirmed that the cement did not cross the midline (Fig. 1). The specimens were then embedded in the centre of a metal fixture with spherical shell. The inner concavity of the fixture enabled an embedding of the specimen in a way that the vertebral body may be surrounded by polyurethane resin (RenCast FC 52/53, Huntsman Inc., Salt Lake City, UT), while the posterior arch and pedicle remained completely free (Fig. 2).

Fig. 1

Fig. 2

Mechanical set-up

The spherical fixture with the enclosed specimen was positioned on top of a x–y table. The fixture enabled an exactly horizontal orientation of the pedicle screw, perpendicular to the actuator of the servo-hydraulic testing machine (MTS 858.2, MTS Systems, Eden Prairie, MN) and a perfect alignment of the loading direction between specimen and test machine. A frame structure connected the actuator and the pedicle screw using a short rod of 20 mm length (Expedium titanium 5.5 mm, DePuy Synthes Inc., West Chester, PA) and a blocker screw (Expedium Single Innie, DePuy Synthes Inc., West Chester, PA). A rotational joint in the connector was positioned orthogonal to the screw axis with its axis in the centre of the screw head—allowing movement with one degree of freedom (Fig. 2). The screw was not exhibited to reactive moments since the rotational axis of the test set-up was positioned in line with the sphere of the screw head. Thus, the head did not tilt with respect to the screw. Cyclic pulsating fatigue testing (0.5 Hz) was applied. Initially, load ranged from 50 N to 100 N, which represents physiological walking [22]. To care for the trade-off between physiological loading and changed material properties due to degradation during testing, the time to provoke fatigue failure was accelerated by stepwise increasing the maximum compressive force by 0.1 N every cycle [23], e.g. after 1000 cycles the load ranged from 50 N to 200 N. Cyclic loading was terminated after the displacement of the screw heads exceeded 5.4 mm (approximately 20° rotation). Testing was consecutively performed for the non-augmented and augmented side, minimizing the risk of cross-effects due to a moving cement seal.


The failure load at the end of the testing, the construct’s stiffness at the beginning, at 50%, 75% and those at the end of testing were determined (MATLAB, The MathWorks Inc., Natick, MA). Loosening was evaluated based on post-test CT scans, but no scoring system or quantification has been done.

Statistical analysis with a type I error probability of α = 0.05 was performed (SPSS, version 21, IBM, Armonk, NY). Nonparametric Mann–Whitney U test and Kruskal–Wallis test were used to compare the stiffness of the different groups—especially with regard to the changes with time. A repeated measurement analysis with the inner-subject factors non-augmented/augmented was performed to test the in-between subjects effect of the different volumes used for the augmentation. A linear regression analysis was performed to investigate the influence of BMD on the fatigue load. If not stated differently, summary data are given as mean value ± standard deviation.


Donors’ age was above 73 years (85 ± 7 years) and BMD below 100 mg/cm3 (74.5 ± 15.9 mg/cm3) in each vertebral body. Consequently, each specimen may be considered to be osteopenic or osteoporotic [24]. Both groups (1 ml and 3 ml) included vertebrae from various spinal levels, but neither the age nor the bone density differed significantly between these groups (age p = 0.769; BMD p = 0.810) (Table 1).

Post-fatigue testing CT scans exhibited a caudal displacement of the screw head and a cranial displacement of the screw tip. The centre of rotation was located in the area of the pedicle. All screws showed signs of loosening but no tilting of the screw heads.

Initially the stiffness of the augmented and non-augmented screws did not differ (p = 0.487), but at the end of testing the augmented screws exhibited a significantly lower stiffness compared to the non-augmented screws (p = 0.044; 165 ± 43 N/mm vs. 190 ± 39 N/mm). In the three groups (augmented 1 ml, augmented 3 ml and non-augmented), the stiffness decreased significantly with ongoing loading (augmented 1 ml p = 0.008; augmented 3 ml p < 0.001; and non-augmented p = 0.002) (Table 2).Table 2 Stiffness of augmented (1 ml/3 ml) and non-augmented screws at the beginning, at 50%, 75% and at the end of testing (mean and SD)Full size table

The load to failure for the non-augmented side in the two groups (1 ml/3 ml) hardly differed (181 N ± 74 N vs 187 ± 54 N), but the corresponding cement-augmented screws (1 ml vs 3 ml) withstand a 40 to 50% higher load (255 ± 84 N and 282 ± 100 N). The repeated measure general linear model exhibited that this increase due to cement augmentation was significant (p < 0.001, power 0.999), but neither a significant interaction between cement augmentation and cement volume (p = 0.504, power 0.100) nor a difference between the two groups of specimens (p = 0.553, power 0.089) could have been observed—although the power was low due to restricted sample size and the small 10% differences between augmentations with 1 ml and 3 ml (Table 3, Fig. 3).Table 3 Results of repeated measurement analyses with analysis of inter-subject effects treatment (augmentation) and fatigue load for augmented and non-augmented screws (mean and SD)Full size table

Fig. 3

There was a significant correlation between the BMD and fatigue load in the non-augmented as well as in the augmented screws (Fig. 4). The highest coefficient of determination was found for the non-augmented screws and the lowest for the screws augmented with 3 ml cement (non-augmented: r2 = 0.602, p < 0.001; augmented 1 ml: r2 = 0.462, p = 0.011; augmented 3 ml: r2 = 0.379, p = 0.033).

Fig. 4


Due to demographic changes with a growing elderly population, spine surgeons face more and more osteoporotic patients. Since BMD is crucial for pedicle screw stability, screw loosening is a relevant complication, especially in these patients [61116]. There are different techniques to improve screw anchorage, e.g. expandable screws, lengthening of the construct or cement augmentation of the pedicle screws [25,26,27]. Clinical and biomechanical studies exhibited the benefits of augmentation in terms of higher pull-out forces, increasing fatigue loads in cyclic testing and reduced loosening rates in clinical studies [12142325]. Hence, this has received growing attention. With increasing usage, concerns regarding the potential complication associated with these procedures rise.

Janssen et al. showed the extremely high rate of 66.7% asymptomatic cement leakage in patients with augmented pedicle screws [21] and a rate of pulmonary cement embolism in 7.9% of patients of whom 3% were symptomatic. Overall, they described symptomatic complications in 5.5% of cases and a 30-day mortality rate of 1.8% [21]. Guo et al. performed a retrospective analysis of 202 patients with 950 augmented pedicle screws and observed a cement leakage in 81.7% of patients [20]. They further investigated the factors influencing the occurrence of cement leakage and found a significant relation to the cement volume with an odds ratio of 0.75 (p = 0.013). Additionally, the high rate of observed cement leakage in kyphoplasty illustrates the potential danger of using cement on the spine [28].

There is only minor evidence regarding the optimal cement volume for pedicle screw augmentation yet. Pishnamaz et al. performed a biomechanical study regarding screw stability after augmentation with a cement volume of 4 ml and 1.5 ml [29]. They showed no significant benefit of an increased cement volume in pull-out testing and conclude that the pedicle screw stability of high-volume augmented screws is disadvantageous compared to moderately augmented screws. However, they were not able to draw this conclusion based on a cyclic fatigue test, which is a more physiological testing method for screw failure testing [2330]. especially since withdrawing of the screws posteriorly through the pedicle has clinically rarely been reported [12232731].

The used test design with a repeated, stepwise increasing force within the physiological range [22] exhibited a continuously decreasing stiffness which most probably indicates slight damages of the trabecular bone [32]. This results in an in vivo-like failure pattern expressed in a cranio–caudal loosening of the pedicle screws. A significantly lesser stiffness of the augmented screws compared to the non-augmented screws at the end of testing was observed. However, it has to be kept in mind that the augmented screws bore a reasonable higher load at the end of the testing. It is suggested that the pivot point of screw toggling moved further into the vertebral body with augmentation. This would result in an increased lever arm and consequently the loss of fatigue stiffness.

Alike to other biomechanical studies, a significant better screw anchorage in augmented screws compared with non-augmented screws was found. Regarding the cement volume, an increase of 41% of fatigue load using only 1 ml bone cement was observed. A lager amount of bone cement of 3 ml showed a fatigue load which was increased by 51% compared to non-augmented which differed non-significantly from the augmentation with 1 ml. Although the load to failure of 282 N for 3 ml cement was a bit higher compared to 255 N for 1 ml, we could not find a statistical significance. However, for such a small difference in mean a higher power could only be received with an ethically unjustifiable number of specimens.

Keeping the high complication rate of pedicle screw augmentation in mind and considering that a reduced cement volume is able to reduce the risk of cement leakage significantly, these results have a high impact.

As exhibited by others using a similar testing set-up [1119], there was a significant correlation between the BMD and the failure load. It has been shown that cement augmentation should only be used if the bone density of the corresponding vertebral body is reduced [19]. For this reason, only vertebral bodies with significantly reduced BMD were included into this study. Despite this small range of bone density, we were able to show a significant correlation, even if the coefficient of determination is lower compared to the studies focusing on the influence of bone density.

Common limitations of in vitro studies have to be regarded, especially restricted sample size and normal variations due to the use of human vertebrae from varying spinal levels. Vertebral bodies from the levels T12–L4 are mostly affected from osteoporotic fractures, but differ in volume and anatomy. Nevertheless, the cement volume and the screw diameter were not adapted to the specimens. This was done to prevent artificial bias of the study and is in accordance with clinical routines anyway. Inconsistencies with regard to the screw insertion, e.g. the angle, direction and entry point of the pedicle screws, may also have a minor influence on the results, but not differently to the situation in vivo. Factors associated with the testing set-up such as subsidence of the specimen fixation or deformation of the setting could also influence the results. To reduce specimen degradation, a set-up with continuous increasing load was used. Therefore, the measured failure loads are on the upper range or above the loads that probably occur in patients during physiological activities [22].


Despite that a biomechanical cadaver model is not able to perfectly simulate in vivo conditions, it could be concluded that cement augmentation significantly increases pedicle screw stability, but no significant differences between the applied cement volumes of 1 ml and 3 ml could be seen. Considering the high risk of cement leakage during augmentation, a spare usage of bone cement (around 1 ml) for each pedicle screw appears to be recommendable—at least if a mechanical integer construct can be realized.


  1. 1.Burge R, Dawson-Hughes B, Solomon DH, Wong JB, King A, Tosteson A (2007) Incidence and economic burden of osteoporosis-related fractures in the United States, 2005–2025. J Bone Miner Res 22(3):465–475Article Google Scholar 
  2. 2.Cho W, Cho SK, Wu C (2010) The biomechanics of pedicle screw-based instrumentation. J Bone Joint Surg Br 92(8):1061–1065CAS Article Google Scholar 
  3. 3.Gaines RW Jr (2000) The use of pedicle-screw internal fixation for the operative treatment of spinal disorders. J Bone Joint Surg Am 82-A(10):1458–1476Article Google Scholar 
  4. 4.Wood KB, Li W, Lebl DR, Ploumis A (2014) Management of thoracolumbar spine fractures. Spine J 14(1):145–164Article Google Scholar 
  5. 5.Coe JD, Warden KE, Herzig MA, McAfee PC (1990) Influence of bone mineral density on the fixation of thoracolumbar implants. A comparative study of transpedicular screws, laminar hooks, and spinous process wires. Spine (Phila Pa 1976) 15(9):902–907CAS Article Google Scholar 
  6. 6.Galbusera F, Volkheimer D, Reitmaier S, Berger-Roscher N, Kienle A, Wilke HJ (2015) Pedicle screw loosening: a clinically relevant complication? Eur Spine J 24(5):1005–1016Article Google Scholar 
  7. 7.Halvorson TL, Kelley LA, Thomas KA, Whitecloud TS 3rd, Cook SD (1994) Effects of bone mineral density on pedicle screw fixation. Spine (Phila Pa 1976) 19(21):2415–2420CAS Article Google Scholar 
  8. 8.Paxinos O, Tsitsopoulos PP, Zindrick MR, Voronov LI, Lorenz MA, Havey RM, Patwardhan AG (2010) Evaluation of pullout strength and failure mechanism of posterior instrumentation in normal and osteopenic thoracic vertebrae. J Neurosurg Spine 13(4):469–476Article Google Scholar 
  9. 9.Wittenberg RH, Shea M, Swartz DE, Lee KS, White AA 3rd, Hayes WC (1991) Importance of bone mineral density in instrumented spine fusions. SpineSpine (Phila Pa 1976) 16(6):647–652CAS Article Google Scholar 
  10. 10.Wu ZX, Gong FT, Liu L, Ma ZS, Zhang Y, Zhao X, Yang M, Lei W, Sang HX (2012) A comparative study on screw loosening in osteoporotic lumbar spine fusion between expandable and conventional pedicle screws. Arch Orthop Trauma Surg 132(4):471–476Article Google Scholar 
  11. 11.Weiser L, Huber G, Sellenschloh K, Viezens L, Puschel K, Morlock MM, Lehmann W (2017) Insufficient stability of pedicle screws in osteoporotic vertebrae: biomechanical correlation of bone mineral density and pedicle screw fixation strength. Eur Spine J 26(11):2891–2897Article Google Scholar 
  12. 12.Bostelmann R, Keiler A, Steiger HJ, Scholz A, Cornelius JF, Schmoelz W (2017) Effect of augmentation techniques on the failure of pedicle screws under cranio-caudal cyclic loading. Eur Spine J 26(1):181–188Article Google Scholar 
  13. 13.Chang MC, Kao HC, Ying SH, Liu CL (2013) Polymethylmethacrylate augmentation of cannulated pedicle screws for fixation in osteoporotic spines and comparison of its clinical results and biomechanical characteristics with the needle injection method. J Spinal Disord Technol 26(6):305–315Article Google Scholar 
  14. 14.Hoppe S, Keel MJ (2017) Pedicle screw augmentation in osteoporotic spine: indications, limitations and technical aspects. Eur J Trauma Emerg Surg 43(1):3–8CAS Article Google Scholar 
  15. 15.Sawakami K, Yamazaki A, Ishikawa S, Ito T, Watanabe K, Endo N (2012) Polymethylmethacrylate augmentation of pedicle screws increases the initial fixation in osteoporotic spine patients. J Spinal Disord Technol 25(2):E28–E35Article Google Scholar 
  16. 16.Choma TJ, Pfeiffer FM, Swope RW, Hirner JP (2012) Pedicle screw design and cement augmentation in osteoporotic vertebrae: effects of fenestrations and cement viscosity on fixation and extraction. Spine (Phila Pa 1976) 37(26):E1628–E1632Article Google Scholar 
  17. 17.Leichtle CI, Lorenz A, Rothstock S, Happel J, Walter F, Shiozawa T, Leichtle UG (2016) Pull-out strength of cemented solid versus fenestrated pedicle screws in osteoporotic vertebrae. Bone Joint Res 5(9):419–426CAS Article Google Scholar 
  18. 18.Liu D, Wu ZX, Pan XM, Fu SC, Gao MX, Shi L, Lei W (2011) Biomechanical comparison of different techniques in primary spinal surgery in osteoporotic cadaveric lumbar vertebrae: expansive pedicle screw versus polymethylmethacrylate-augmented pedicle screw. Arch Orthop Trauma Surg 131(9):1227–1232Article Google Scholar 
  19. 19.Weiser L, Huber G, Sellenschloh K, Viezens L, Puschel K, Morlock MM, Lehmann W (2018) Time to augment?! Impact of cement augmentation on pedicle screw fixation strength depending on bone mineral density. Eur Spine J 27(8):1964–1971Article Google Scholar 
  20. 20.Guo HZ, Tang YC, Guo DQ, Zhang SC, Li YX, Mo GY, Luo PJ, Zhou TP, Ma YH, Liang Jiang XB (2019) The cement leakage in cement-augmented pedicle screw instrumentation in degenerative lumbosacral diseases: a retrospective analysis of 202 cases and 950 augmented pedicle screws. Eur Spine J 28(7):1661–1669Article Google Scholar 
  21. 21.Janssen I, Ryang YM, Gempt J, Bette S, Gerhardt J, Kirschke JS, Meyer B (2017) Risk of cement leakage and pulmonary embolism by bone cement-augmented pedicle screw fixation of the thoracolumbar spine. Spine J 17(6):837–844Article Google Scholar 
  22. 22.Rohlmann A, Bergmann G, Graichen F (1997) Loads on an internal spinal fixation device during walking. J Biomech 30(1):41–47CAS Article Google Scholar 
  23. 23.Kueny RA, Kolb JP, Lehmann W, Puschel K, Morlock MM, Huber G (2014) Influence of the screw augmentation technique and a diameter increase on pedicle screw fixation in the osteoporotic spine: pullout versus fatigue testing. Eur Spine J 23(10):2196–2202Article Google Scholar 
  24. 24.American College of Radiology (2014) ACR–SPR–SSR Practice Parameter for the Performance of Quantitative Computed Tomography (QCT) Bone Densitometry.
  25. 25.Cao Y, Liang Y, Wan S, Jiang C, Jiang X, Chen Z (2018) Pedicle screw with cement augmentation in unilateral transforaminal lumbar interbody fusion: a 2-year follow-up study. World Neurosurg 118:e288–e295Article Google Scholar 
  26. 26.Gazzeri R, Roperto R, Fiore C (2016) Surgical treatment of degenerative and traumatic spinal diseases with expandable screws in patients with osteoporosis: 2-year follow-up clinical study. J Neurosurg Spine 25(5):610–619Article Google Scholar 
  27. 27.Weiser L, Dreimann M, Huber G, Sellenschloh K, Puschel K, Morlock MM, Rueger JM, Lehmann W (2016) Cement augmentation versus extended dorsal instrumentation in the treatment of osteoporotic vertebral fractures: a biomechanical comparison. Bone Joint J 98 B(8):1099–1105Article Google Scholar 
  28. 28.Riesner HJ, Kiupel K, Lang P, Stuby F, Friemert B, Palm HG (2016) Clinical relevance of cement leakage after radiofrequency kyphoplasty vs balloon kyphoplasty: a prospective randomised study. Z Orthop Unfall 154(4):370–376Article Google Scholar 
  29. 29.Pishnamaz M, Lange H, Herren C, Na HS, Lichte P, Hildebrand F, Pape HC, Kobbe P (2018) The quantity of bone cement influences the anchorage of augmented pedicle screws in the osteoporotic spine: a biomechanical human cadaveric study. Clin Biomech (Bristol, Avon) 52:14–19Article Google Scholar 
  30. 30.Mengis C, Schmoelz W, Duart Clemente JM, Alvarez-Galovich L (2018) Letter to the editor regarding “The quantity of bone cement influences the anchorage of augmented pedicle screws in the osteoporotic spine: A biomechanical human cadaveric study” by Pishnamaz M et al. Clin Biomech 52:14–19. Clin Biomech (Bristol, Avon) 59:211
  31. 31.Schulze M, Gehweiler D, Riesenbeck O, Wahnert D, Raschke MJ, Hartensuer R, Vordemvenne T (2016) Biomechanical characteristics of pedicle screws in osteoporotic vertebrae—comparing a new cadaver corpectomy model and pure pull-out testing. J Orthop Res 35(1):167–174Article Google Scholar 
  32. 32.Kiner DW, Wybo CD, Sterba W, Yeni YN, Bartol SW, Vaidya R (2008) Biomechanical analysis of different techniques in revision spinal instrumentation: larger diameter screws versus cement augmentation. Spine (Phila Pa 1976) 33(24):2618–2622Article Google Scholar 

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  1. Department of Trauma Surgery, Orthopaedic Surgery and Plastic Surgery, University Medical Center Göttingen, Robert-Koch-Str. 40, 37099, Göttingen, Germany
    • Lukas Weiser
    • , Lennart Viezens
    •  & Wolfgang Lehmann
  2. Institute of Biomechanics, TUHH Hamburg University of Technology, Hamburg, Germany
    • Kay Sellenschloh
    • , Michael M. Morlock
    •  & Gerd Huber
  3. Institute of Forensic Medicine, University Medical Center Hamburg-Eppendorf, Hamburg, Germany
    • Klaus Püschel

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Correspondence to Lukas Weiser.

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