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Mathematical modelling and analysis on male urine flow rate

Li, Rui

Mathematical modelling and analysis on male urine flow rate Thumbnail


Rui Li


Troublesome voiding lower urinary tract symptoms (LUTS) are a common problem in men, particularly with ageing. Management of voiding LUTS can be guided by accurate determination of underlying mechanisms, distinguishing men with voiding symptoms caused by outlet obstruction from those with reduced bladder contractility. The aim of this dissertation is by analysing measured data to establish proper characteristic vector and model sets to provide quantitative interpretation of the male urine flow rate (UFR) in order to assist medical diagnosis and prediction non-invasively. The methods we propose have not been described before, so this work is clearly novel.
This study initially demonstrates a critical review of urine flow shape and current non-invasive urodynamic methods on diagnosing Bladder outlet obstruction (BOO) and Detrusor underactivity (DU), along with diagnosing accuracy and limitations of each method. Furthermore, a urodynamic model using first order discrete transfer function has been designed initially to lay down a fundamental assessment of whole urine flow shape. However, in follow up research this model shows limited diagnosing power for differentiation. To view the possible frequency difference between two groups, a simple Butterworth filter with two different cut-off values is designed and adapted to separate the frequency components caused by abdominal straining and detrusor contraction. Continuously to quantify the difference of frequency range in BOO and DU flow curve, an elliptic filter has been developed and adapted for UFR curve and fast Fourier transform is employed to derive median power frequency. Additionally, the diagnosing utility of flow template is assessed and mathematical criteria of intermittent shape is proposed.


Li, R. Mathematical modelling and analysis on male urine flow rate. (Thesis). University of the West of England. Retrieved from

Thesis Type Thesis
Deposit Date Mar 18, 2019
Publicly Available Date Mar 18, 2019
Keywords urine flow rate; non-invasive diagnostic method; bladder outlet obstruction; detrusor underactivity; urodynamic mathematical and statistical modelling; frequency analysis; flow shape standardisation.
Public URL
Award Date Mar 18, 2019


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