» Articles » PMID: 12426781

Mathematical Model of the Male Urinary Tract

Overview
Specialty General Medicine
Date 2002 Nov 13
PMID 12426781
Citations 4
Authors
Affiliations
Soon will be listed here.
Abstract

The paper presents a simplified (but not trivial) mathematical model of the interaction between the urine flow and the male urethra and bladder, respectively. Urine is assumed to be a Newtonian fluid. The flow is considered to be non-stationary, isothermal and turbulent. The urethra and bladder wall, featuring elastic properties, experience large displacements and strains. The dynamic forces are included in the urethra wall motion. When fully extended the urethra attains the shape of an axisymetric tube. An iterative method based on the uncoupled approach is developed.

Citing Articles

Impact of flow rate and ratio of endoscope-sheath diameter on stone removal in flexible ureteroscopic lithotripsy: in vitro and CFD analyses insights.

Zhang B, Han S, Zhang L, Wang X, Zhang X, Liang X Int Urol Nephrol. 2025; .

PMID: 39918701 DOI: 10.1007/s11255-025-04392-7.


Mathematical modeling of the lower urinary tract: A review.

Jaskowak D, Nunez R, Ramachandran R, Alhajjar E, Yin J, Guidoboni G Neurourol Urodyn. 2022; 41(6):1305-1315.

PMID: 35753055 PMC: 9891477. DOI: 10.1002/nau.24995.


Computational fluid dynamics modeling approaches to assess lower urinary tract hydraulic dynamics in posterior urethral valve before and after endoscopic valve ablation: a pilot study.

Chen H, Liu X, Zhang Z, Ye Z, Lin T, He D World J Urol. 2021; 40(2):505-511.

PMID: 34811586 DOI: 10.1007/s00345-021-03875-3.


Novel CFD modeling approaches to assessing urine flow in prostatic urethra after transurethral surgery.

Zhang B, Liu S, Liu Y, Wu B, Zhang X, Wang X Sci Rep. 2021; 11(1):663.

PMID: 33436678 PMC: 7804846. DOI: 10.1038/s41598-020-79505-6.


[Finite element analysis of male lower urinary tract based on the collodion slice images].

Zhou J, Wang F, Zhang J, Zhai L, Zhou L, Pan K Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 2018; 35(4):592-597.

PMID: 30124023 PMC: 9935116. DOI: 10.7507/1001-5515.201708008.