Mathematical modeling of penile deformation in Peyronie’s disease after shock wave therapy

Authors: Pavel Drlík 1;  Jan Loško 2;  Vladimír Křístek 2;  Oto Köhler 1
Authors‘ workplace: Urologické oddělení ÚVN, Praha 1;  Fakulta stavební ČVUT, Praha 2
Published in: Ces Urol 2012; 16(1): 37-42
Category: Original article


Mathematical modeling of penile deformation in Peyronie’s disease after shock wave therapy.

Initially, a model of the penis in flacid and in erect state was created. The Finite Element Method Analysis was used. Subsequently the same model was used to analyse the penis affected by a fibrous plaque. The rigid element had the following characteristics: it was not possible to stretch it on external impulse and its stiffness on the contrary restricted free expansion of surrounding elements and induced deformity of the object. Finally we analyzed the model for successful and unsuccessful treatment with shock waves, which were delivered by the lithotriptor Medilit 7. The task was derived from real average size parameters of the object, average plaque size, average extent of deviation and average improvement of deformity in patients treated at our department.

The mathematical model showed that the deflection of the erected penis is in the directionof the rigid component (fibrous plaque). The plaque itself is affected by significant tensile stress that can cause its transverse narrowing; significant tension also arises around theplaque. Significant deviation of the penis resultsin negative effect on function and qualityof life.

Based on the application of mathematical models we can reduce undesirable deformity of the penis during erection either by removal of the whole rigid element via surgery or by disrupting the affected element, so that during erection its reduced rigidity does not restrict volume changes of the adjacent area – this is likely the principle applied with application oft he shock wave treatment.

Key words:
mathematical model, Peyronie’s disease, shock wave, dorsal angulation.


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Paediatric urologist Nephrology Urology
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