Transit time, residence time, and the rate of approach to steady state for solute transport during peritoneal dialysis

Annals of Biomedical Engineering

Volumn 36, Issue 10, 2008, Pages 1735-1743

  Waniewski, Jacek ^a,b  

^a INSTITUTE OF BIOCYBERNETICS AND BIOMEDICAL ENGINEERING   (Poland)

^b KAROLINSKA INSTITUTE   (Sweden)

Author keywords

Absorption; Capillary wall; Convection; Diffusion; Interstitium; Partial differential equations

Indexed keywords

ABSORPTION; BLOOD; BLOOD VESSELS; COMPUTER NETWORKS; COMPUTER SIMULATION; MICROCIRCULATION; SOLUTE TRANSPORT; STEEL STRUCTURES;

CAPILLARY WALL; CONVECTION; DIFFUSION; INTERSTITIUM; PARTIAL DIFFERENTIAL EQUATIONS;

DIALYSIS;

DIALYSIS FLUID;

ABSORPTION; ARTICLE; ASCITES FLUID; BIOLOGICAL MODEL; DIFFUSION; HUMAN; METABOLISM; PERITONEAL CAVITY; PERITONEAL DIALYSIS; PHYSIOLOGY; TIME; TRANSPORT AT THE CELLULAR LEVEL;

ABSORPTION; ASCITIC FLUID; BIOLOGICAL TRANSPORT; DIALYSIS SOLUTIONS; DIFFUSION; HUMANS; MODELS, BIOLOGICAL; PERITONEAL CAVITY; PERITONEAL DIALYSIS; TIME FACTORS;

EID: 51549094540     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-008-9544-6     Document Type: Article

References (26)

1. Arridge S. R., M. Schweiger 1995 Direct calculation of the moments of the distribution of photon time of flight in the tissue with finite element method. Appl. Opt. 34(15):2683-2687
2. Bassingthwaighte, J. B. and C. A. Goresky. Modeling in the analysis of solute and water exchange in the microvasculature. In: Handbook of Physiology - The Cardiovascular System IV, Vol 4. Microcirculation, edited by S. R. Geiger, C. C. Michel, J. R. Pappenheimer, and E. M. Renkin. Bethesda, MD: American Physiological Society, 1984
3. Collins J. 1981 Inert gas exchange of subcutaneous and intraperitoneal gas pockets in piglets. Respir. Physiol. 46:391-404. doi: 10.1016/0034-5687(81) 90134-1
4. Dedrick R. L., M. F. Flessner, J. M. Collins, J. S. Schulz 1982 Is the peritoneum a membrane? ASAIO J. 5:1-8
5. Flessner M. F., R. L. Dedrick 2000 Intraperitoneal chemotherapy In: Gokal R., R. Khanna, R. T. Krediet, K. D. Nolph (eds) Textbook of Peritoneal Dialysis. Dordrecht: Kluwer
6. Flessner M. F., R. L. Dedrick, J. C. Reynolds 1992 Bidirectional peritoneal transport of immunoglobulin in rats: tissue concentration profiles. Am. J. Physiol. 263(1 Pt 2):F15-23
7. Flessner M. F., R. L. Dedrick, J. S. Schultz 1984 A distributed model of peritoneal-plasma transport: theoretical considerations. Am. J. Physiol. 246(4 Pt 2):R597-607
8. Flessner M. F., J. D. Fenstermacher, R. L. Dedrick, R. G. Blasberg 1985 A distributed model of peritoneal-plasma transport: tissue concentration gradients. Am. J. Physiol. 248(3 Pt 2):F425-435
9. Flessner M. F., J. Lofthouse, R. Zakaria el 1997 In vivo diffusion of immunoglobulin G in muscle: effects of binding, solute exclusion, and lymphatic removal. Am. J. Physiol. 273(6 Pt 2):H2783-2793
10. Gupta E., M. G. Wientjes, J. L. Au 1995 Penetration kinetics of 2',3'-dideoxyinosine in dermis is described by the distributed model. Pharm. Res. 12(1):108-112. doi: 10.1023/A:1016298906589
11. Hardt S. L. 1981 The diffusion transit time; a simple derivation. Bull. Math. Biol. 45:89-99
12. Heimbürger O. 2005 Peritoneal physiology. In: Pereira B., M. Sayegh, P. Blake (eds) Chronic Kidney Disease, Dialysis, and Transplantation. Philadelphia: Elsevier. 491-509
13. Liebert A., H. Wabnitz, D. Grosenick, M. Moller, R. Macdonald, H. Rinneberg 2003 Evaluation of optical properties of highly scattering media by moments of distributions of times of flight of photons. Appl. Opt. 42(28):5785-5792. doi: 10.1364/AO.42.005785
14. Liebert A., H. Wabnitz, J. Steinbrink, H. Obrig, M. Moller, R. Macdonald, A. Villringer, H. Rinneberg 2004 Time-resolved multidistance near-infrared spectroscopy of the adult head: intracerebral and extracerebral absorption changes from moments of distribution of flight of photons. Appl. Opt. 43(15):3037-3047. doi: 10.1364/AO.43.003037
15. Patlak C. S., J. D. Fenstermacher 1975 Measurements of dog blood-brain transfer constants by ventriculocisternal perfusion. Am. J. Physiol. 229(4):877-884
16. Segel L. A. 1980 Mathematical Models in Molecular and Cellular Biology Cambridge: Cambridge University Press
17. Stachowska-Pietka J., J. Waniewski, M. F. Flessner, B. Lindholm 2006 Distributed model of peritoneal fluid absorption. Am. J. Physiol. Heart Circ. Physiol. 291(4):H1862-1874. doi: 10.1152/ajpheart.01320.2005
18. Stachowska-Pietka J., J. Waniewski, M. F. Flessner, B. Lindholm 2007 A distributed model of bidirectional protein transport during peritoneal fluid absorption. Adv. Perit. Dial. 23:23-27
19. Waniewski J. 2001 Physiological interpretation of solute transport parameters for peritoneal dialysis. J. Theor. Med. 3:177-190
20. Waniewski J. 2002 Distributed modeling of diffusive solute transport in peritoneal dialysis. Ann. Biomed. Eng. 30(9):1181-1195. doi: 10.1114/1.1519264
21. Waniewski J. 2006 Mathematical modeling of fluid and solute transport in hemodialysis and peritoneal dialysis. J. Membr. Sci. 274:24-37. doi: 10.1016/j.memsci.2005.11.038
22. Waniewski J. 2007 Mean transit time and mean residence time for linear diffusion-convection-reaction transport system. Comput. Math. Methods Med. 8(1):37-49. doi: 10.1080/17486700701298293
23. Waniewski A., V. Dutka, J. Stachowska-Pietka, R. Cherniha 2007 Distributed modeling of glucose-induced osmotic flow. Adv. Perit. Dial. 23:2-6
24. Waniewski J., T. Wang, O. Heimburger, A. Werynski, B. Lindholm 2000 Discriminative impact of ultrafiltration on peritoneal protein transport. Perit. Dial. Int. 20(1):39-46
25. Waniewski J., A. Werynski, B. Lindholm 1999 Effect of blood perfusion on diffusive transport in peritoneal dialysis. Kidney Int. 56(2):707-713. doi: 10.1046/j.1523-1755.1999.00595.x
26. Wientjes M. G., R. A. Badalament, R. C. Wang, F. Hassan, J. L. Au 1993 Penetration of mitomycin C in human bladder. Cancer Res. 53(14):3314-3320