The Conductivity-based Peritoneal Equilibration Test - A mathematical modeling assessment
(2020) In Master's Theses in Mathematical Sciences FMNM01 20182Mathematics (Faculty of Engineering)
- Abstract
- Sufficient solute and water removal are crucial for adequate peritoneal dialy-
sis (PD) treatment. However, present clinical tests for peritoneal membrane trans-
port characteristics are cumbersome and time consuming. Here, a mathematical
model consisting of linear differential equations aiming to describe the complex
process of solute and water transport accross the peritoneal membrane, in order
to evaluate a novel membrane evaluation method called the Conductivity-based
Peritoneal Equilibration Test (CondPET). By non-linear regression analysis, wa-
ter and solute membrane permeability in terms of the ultrafiltration coefficient
LpS (mL/min/mmHg) and diffusion capacity of glucose PSg (mL/min) was dif-
ferentiated. Parameter... (More) - Sufficient solute and water removal are crucial for adequate peritoneal dialy-
sis (PD) treatment. However, present clinical tests for peritoneal membrane trans-
port characteristics are cumbersome and time consuming. Here, a mathematical
model consisting of linear differential equations aiming to describe the complex
process of solute and water transport accross the peritoneal membrane, in order
to evaluate a novel membrane evaluation method called the Conductivity-based
Peritoneal Equilibration Test (CondPET). By non-linear regression analysis, wa-
ter and solute membrane permeability in terms of the ultrafiltration coefficient
LpS (mL/min/mmHg) and diffusion capacity of glucose PSg (mL/min) was dif-
ferentiated. Parameter estimations was conducted on the basis of dialysate con-
ductivity simulations using an extended Three-pore model in 19 fictive patients
during a single dwell of PD. The accuracy of the parameter estimation in com-
parison to the true parameter values were determined by linear regression and
Bland-Altman analysis. Using 3 dialysate samples drawn after 30, 40 and 90 min,
with addition of a random measurement error, LpS was estimated with a mean er-
ror of 7 · 10−4 mL/min/mmHg (95% CI -0.01 - 0.01) and PSg with a mean error of
0.1 mL/min (95% CI -1.37 - 1.58). The CondPET parameter estimation accuracy is
hard to compare to existing methods as it includes quantification of ultrafiltration capacity. However, the CondPET results were promising. The model was successfully set up and despite in need of further refinements due to many assumptions considered versatile. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/9030485
- author
- Bergling, Karin LU
- supervisor
- organization
- course
- FMNM01 20182
- year
- 2020
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- Peritoneal dialysis, membrane filtration, mathematical modeling
- publication/series
- Master's Theses in Mathematical Sciences
- report number
- LUTFNA-3050-2020
- ISSN
- 1404-6342
- other publication id
- 2020:E79
- language
- English
- id
- 9030485
- date added to LUP
- 2021-03-01 16:08:26
- date last changed
- 2021-03-01 16:08:26
@misc{9030485, abstract = {{Sufficient solute and water removal are crucial for adequate peritoneal dialy- sis (PD) treatment. However, present clinical tests for peritoneal membrane trans- port characteristics are cumbersome and time consuming. Here, a mathematical model consisting of linear differential equations aiming to describe the complex process of solute and water transport accross the peritoneal membrane, in order to evaluate a novel membrane evaluation method called the Conductivity-based Peritoneal Equilibration Test (CondPET). By non-linear regression analysis, wa- ter and solute membrane permeability in terms of the ultrafiltration coefficient LpS (mL/min/mmHg) and diffusion capacity of glucose PSg (mL/min) was dif- ferentiated. Parameter estimations was conducted on the basis of dialysate con- ductivity simulations using an extended Three-pore model in 19 fictive patients during a single dwell of PD. The accuracy of the parameter estimation in com- parison to the true parameter values were determined by linear regression and Bland-Altman analysis. Using 3 dialysate samples drawn after 30, 40 and 90 min, with addition of a random measurement error, LpS was estimated with a mean er- ror of 7 · 10−4 mL/min/mmHg (95% CI -0.01 - 0.01) and PSg with a mean error of 0.1 mL/min (95% CI -1.37 - 1.58). The CondPET parameter estimation accuracy is hard to compare to existing methods as it includes quantification of ultrafiltration capacity. However, the CondPET results were promising. The model was successfully set up and despite in need of further refinements due to many assumptions considered versatile.}}, author = {{Bergling, Karin}}, issn = {{1404-6342}}, language = {{eng}}, note = {{Student Paper}}, series = {{Master's Theses in Mathematical Sciences}}, title = {{The Conductivity-based Peritoneal Equilibration Test - A mathematical modeling assessment}}, year = {{2020}}, }