title: [Urodynamic paradigms: from renaissance fibrilar theory to current Doppler-flowmetry].
abstract: To perform a historical introduction and a review of the mathematical model, emphasizing that our mathematical model may be the solution to the viscoelastic model. It is evident that the same experiment has been repeated over half a century, with similar results in all cases. We also show one of the projects we are working on: the electro-vesicogram for the evaluation of the filling phase, and Doppler uroflowmetry for the study of the voiding phase.
  
  
  METHODS
  We have chosen and studied in depth the results Dr. Virseda presents in his thesis of one of the experiments performed in relation to the viscoelastic model. After applying analytical methods we reach a differential equation we suppose defines detrusor behaviour, as it has been explained by the viscoelastic model. The solution of this equation by means of the Laplace's transform enables to obtain the values of the incognitas set by urodynamics. Besides, we analyzed the behaviour of solutions' stability using a matricial method following the Lyapunov theory. The former may solve the incognitas for the voiding phase. We used urethral Doppler with simultaneous uroflowmetry to obtain the data equations demanded; this is what we named "Doppler uroflowmetry". The filling phase was studied by superficial electromiography. We named it "electrovesicogram". We attach images for both Doppler wave and electrovesicogram. They both are the projects we are working on.
  
  
  RESULTS
  Currently we can only explain the methodology we are following. Indeed, this article is the first of a series in which we aim to explain the methodology we are following in detail: Doppler wave capture; mounting process photogram by photogram, and vectorization and cleaning of the wave, either Doppler or flow waves; treatment in autocad to obtain the vector; and management of the vector with the matalab software, which gives us the results we are looking for.
  
  
  CONCLUSIONS
  It is intuitive to deduct the usefulness of these methods as not invasive techniques in the urodynamic diagnosis. We have our illusions in these projects which open a window to the future.
authors.affiliation: Servicio Urología, Complejo Hospitalario de Ciudad Real, España. jabn559@yahoo.es
authors.forename: Julio
authors.initials: J
authors.lastname: Benítez Navío
authors.forename: Pilar
authors.initials: P
authors.lastname: Caballero Gómez
authors.forename: Carlos
authors.initials: C
authors.lastname: Pastor Sánchez
authors.forename: Rafael
authors.initials: R
authors.lastname: Ruiz Martínez
authors.forename: Antonio
authors.initials: A
authors.lastname: Pinardo Zabala
authors.forename: Miguel Angel
authors.initials: MA
authors.lastname: Rienda Moreno
authors.forename: Benedicta
authors.initials: B
authors.lastname: Catalán Bernardos
authors.forename: Concepción
authors.initials: C
authors.lastname: Ladrón Gil
mesh_terms: D001703:Biophysics / Q000266:history / Q000706:statistics & numerical data; D049670:History, 17th Century; D049671:History, 18th Century; D049672:History, 19th Century; D049673:History, 20th Century; D017078:Laser-Doppler Flowmetry / Q000266:history; D008962:Models, Theoretical; D014563:Urodynamics; D014572:Urology / Q000266:history / Q000706:statistics & numerical data