DEQ
Dialysis simulation
Dialysis differential equations on the Web
2025.Feb.19 21:39:35
tf h Final time.
Production rate (R) mg ⁄ h Patient's production rate.
Elimination rate (S) L ⁄ h Elimination rate by machine.
Volumes (V1, V2) L Volumes (blood) in patient and machine.
Transfer rates (αβ) L ⁄ h Transfer rates, P, patient; M, machine: P to M, M to P.
Solutions at h For numerical intermediate solutions (≤ tf).
Initial values (CPCM)   ← Units:   IVP: in patient, and machine.
Method        Method of integration.
Points N. of plot points.
Show values Show graph coordinates.

Simulates a dialysis treatment. Computes the evolution of a dialysis procedure vs. time by integrating its ODEs, with given parameters, from given initial values, all given by the user.

dialysisODEs

Files involved: P-dialysis.php (this one), Dialysis.php, dialysis.py.

Integration is by Python 'scipy' module solver solve_ivp, with the selected method of numerical integration.

Alternative data, for example, tf = 70 h, S = 0, solution at 55.7 h (2 days 8 h), and initial values 75 BUN gives the time to reach critical 150 BUN and return to treatment.

Shows the graphical results of the solved ODEs.

References: Plate: DialysisSimul

• (Wikipedia) PHP (from Personal Home Page)

• Dunn, S. M., 2005, "Numerical Methods in Biomedical Engineering". (Dunn, S. M., et al., 2006, ditto, Elsevier (Academic Press), ISBN: 978-0-12-186031-8, https://doi.org/10.1016/B978-0-12-186031-8.X5000-6.)

• National Kidney Foundation (USA) • National Institutes of Health (USA)

• CISTI'2025, 20.ª Conferência Ibérica de Sistemas e Tecnologias de Informação (20.th Iberian Conference on Information Systems and Technologies), Lisbon (Portugal), 16–19 June 2025.

• 1850-01-15: Kovalevskaya, Sofia Vasilyevna (Софья Васильевна Ковалевская) (†1891-02-10, 41 yrs.).

 
 
Valid HTML 5! IST http://web.tecnico.ulisboa.pt/~mcasquilho/compute/CISTI_2025/dialysis/P-dialysis.php
Created: 2025-01-15 — Last modified: 2025-02-19