Distributed model for fluid flow driven by hydrostatic and osmotic pressures during peritoneal dialysis

IFMBE Proceedings

Volumn 25, Issue 7, 2009, Pages 54-57

  Waniewski, J ^a,b  

^a INSTITUTE OF BIOCYBERNETICS AND BIOMEDICAL ENGINEERING   (Poland)

^b KAROLINSKA INSTITUTE   (Sweden)

Author keywords

Capillary wall; Hydraulic conductivity; Interstitium; Osmotic conductance; Reflection coefficient

Indexed keywords

BIOMEDICAL ENGINEERING; DIAGNOSIS; FLOW OF FLUIDS; HYDRAULIC CONDUCTIVITY; HYDRAULICS; HYDROSTATIC PRESSURE; MEDICAL PHYSICS; OSMOSIS; REFLECTION;

CAPILLARY WALL; DISTRIBUTED MODELING; EXPONENTIAL APPROXIMATIONS; EXTERNAL SURFACES; INTERSTITIUM; LOCAL DESCRIPTION; PERITONEAL DIALYSIS; SOLUTE CONCENTRATIONS;

TRANSPORT PROPERTIES;

EID: 77949842439     PISSN: 16800737     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-03885-3_15     Document Type: Conference Paper

References (15)

1. Dedrick RL, Flessner MF, Collins JM, Schulz JS (1982) Is the peritoneum a membrane? ASAIO J 5:1-8
2. Flessner MF, Dedrick RL, Schultz JS (1984) A distributed model of peritoneal-plasma transport: theoretical considerations. Am J Physiol 246:R597-607
3. Waniewski J (2001) Physiological interpretation of solute transport parameters for peritoneal dialysis. J Theoret Medicine 3:177-190
4. Waniewski J (2002) Distributed modeling of diffusive solute transport in peritoneal dialysis. Ann Biomed Eng 30:1181-95
5. Waniewski J (2004) A mathematical model of local stimulation of perfusion by vasoactive agent diffusing from tissue surface. Int J Cardiovascular Eng 4:115-123
6. Waniewski J (2008) Transit time, residence time, and the rate of approach to steady state for solute transport during peritoneal dialysis. Ann Biomed Eng 36:1735-43
7. Seames EL, Moncrief JW, Popovich RP (1990) A distributed model of fluid and mass transfer in peritoneal dialysis. Am J Physiol 258:R958-72
8. Cherniha R, Dutka V, Stachowska-Pietka J, Waniewski J 2007 Fluid transport in peritoneal dialysis: a mathematical model and numerical solutions. In: Deutsch A, Brusch L, Byrne H, de Vries G, Herzel HP, editors. Mathematical Modeling of Biological Systems. Boston: Birkhauser. pp. 291-298.
9. Cherniha R, Waniewski J (2005) Exact solutions of a mathematical model for fluid transport in peritoneal dialysis. Ukrainian Mathematical Journal 57:1112-19
10. Stachowska-Pietka J, Waniewski J, Flessner MF, Lindholm B (2005) A mathematical model of peritoneal fluid absorption in tissue. Adv Perit Dial 21:9-12
11. Stachowska-Pietka J, Waniewski J, Flessner MF, Lindholm B (2006) Distributed model of peritoneal fluid absorption. Am J Physiol Heart Circ Physiol 291:H1862-74
12. Stachowska-Pietka J, Waniewski J, Flessner MF, Lindholm B (2007) A distributed model of bidirectional protein transport during peritoneal fluid absorption. Adv Perit Dial 23:23-7
13. Waniewski J, Dutka V, Stachowska-Pietka J, Cherniha R (2007) Distributed modeling of glucose-induced osmotic flow. Adv Perit Dial 23:2-6
14. Waniewski J (2006) Mathematical modeling of fluid and solute transport in hemodialysis and peritoneal dialysis. J Membr Sc 274:24-37
15. Waniewski J, Stachowska-Pietka J, Flessner MF (2009) Distributed modeling of osmotically driven fluid transport in peritoneal dialysis: theoretical and computational investigations. Am J Physiol Heart Circ Physiol 296:H1960-8