Exact Solutions of a Mathematical Model for Fluid Transport in Peritoneal Dialysis
A mathematical model for fluid transport in peritoneal dialysis is constructed. The model is based on a nonlinear system of two-dimensional partial differential equations with corresponding boundary and initial conditions. Using the classical Lie scheme, we establish that the base system of partial...
Saved in:
| Published in: | Український математичний журнал |
|---|---|
| Date: | 2005 |
| ISSN: | 1027-3190 |
| Main Authors: | Cherniga, R.M., Waniewski, J. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2005
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/165820 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Exact Solutions of a Mathematical Model for Fluid Transport in Peritoneal Dialysis / R.M. Cherniga, J. Waniewski // Український математичний журнал. — 2005. — Т. 57, № 8. — С. 1112–1119. — Бібліогр.: 10 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Biological and analytical studies of peritoneal dialysis solutions
by: N. Hudz, et al.
Published: (2018)
by: N. Hudz, et al.
Published: (2018)
Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma
by: Cherniga, R.M., et al.
Published: (1996)
by: Cherniga, R.M., et al.
Published: (1996)
Advanced fluid modelling of transport in tokamaks
by: Weiland, J.
Published: (2002)
by: Weiland, J.
Published: (2002)
Critical transport and critical scattering in fluids
by: Folk, R.
Published: (2000)
by: Folk, R.
Published: (2000)
Circadian variation in functional polarization of murine peritoneal macrophages
by: R. Dovhyi, et al.
Published: (2022)
by: R. Dovhyi, et al.
Published: (2022)
Fluid of fused spheres as a model for protein solution
by: Kastelic, M., et al.
Published: (2016)
by: Kastelic, M., et al.
Published: (2016)
Mathematical modelling of fluid-structure interaction for energy machine units
by: V. I. Gnitko, et al.
Published: (2013)
by: V. I. Gnitko, et al.
Published: (2013)
Mathematical modeling of fluid flow, which is caused by peristaltic fluctuations
by: B. B. Nesterenko, et al.
Published: (2013)
by: B. B. Nesterenko, et al.
Published: (2013)
Mathematical modelling of fluid-structure interaction for energy machine units
by: Гнитько, В. И., et al.
Published: (2015)
by: Гнитько, В. И., et al.
Published: (2015)
Mathematical modelling of fluid-structure interaction for energy machine units
by: Гнитько, В. И., et al.
Published: (2015)
by: Гнитько, В. И., et al.
Published: (2015)
Hamiltonian analysis of exact integrability of the quantum 3-level superradiance Dicke model
by: Samuliak, R.V.
Published: (1992)
by: Samuliak, R.V.
Published: (1992)
Quantifying uncertainty of a mathematical model of drug transport in tumors
by: S. Essarrout, et al.
Published: (2022)
by: S. Essarrout, et al.
Published: (2022)
Transport Theory of Homogeneous Reacting Solutes
by: Cattani, C., et al.
Published: (2001)
by: Cattani, C., et al.
Published: (2001)
Application of hyperthermic intraperitoneal chemotherapy in peritoneal carcinomatosis treatment (review)
by: E. D. Pykhteeva, et al.
Published: (2016)
by: E. D. Pykhteeva, et al.
Published: (2016)
A probabilistic representation for the solution of one problem of mathematical physics
by: Portenko, N.I.
Published: (2000)
by: Portenko, N.I.
Published: (2000)
Influence of the dose of human umbilical cord mesenchymal stem cells on acute inflammation on the peritonitis model in mice
by: P. A. Pikus, et al.
Published: (2019)
by: P. A. Pikus, et al.
Published: (2019)
Discrete mathematical model of travelling wave of conveyor transport
by: V. Kravets, et al.
Published: (2020)
by: V. Kravets, et al.
Published: (2020)
Use of Cryopreserved Cord Blood in Treatment of Acute Purulent Peritonitis in Rats
by: K. A. Goltsev, et al.
Published: (2012)
by: K. A. Goltsev, et al.
Published: (2012)
Ultrastructural changes in mesothelial cell organelles in adhesive peritoneal disease patients
by: V. V. Bojko, et al.
Published: (2014)
by: V. V. Bojko, et al.
Published: (2014)
Yukawa fluids: a new solution of the one component case
by: Blum, L., et al.
Published: (2003)
by: Blum, L., et al.
Published: (2003)
Exact solution of a variety of X-ray probes in the Falicov-Kimball model with dynamical mean-field theory
by: Shvaika, A.M., et al.
Published: (2012)
by: Shvaika, A.M., et al.
Published: (2012)
Mathematical modeling of fluid flows through the piecewise homogeneous porous medium by R-function method
by: O. R. Podhornyj, et al.
Published: (2021)
by: O. R. Podhornyj, et al.
Published: (2021)
Modeling of a fluid surface shape and capillary—transport processes in the liquids under different values of gravitational forces
by: M. F. Hryhorenko, et al.
Published: (2017)
by: M. F. Hryhorenko, et al.
Published: (2017)
Mathematical models of problems of building closed routes on the transport network
by: A. V. Morozov
Published: (2015)
by: A. V. Morozov
Published: (2015)
Cytokinin fraction of the Hericium coralloides increases oxidative metabolism of murine peritoneal macrophages
by: D. I. Ostapchenko, et al.
Published: (2022)
by: D. I. Ostapchenko, et al.
Published: (2022)
Anti-tumor activity of murine peritoneal macrophages induced by porcine skin gelatin
by: Koide, T., et al.
Published: (2008)
by: Koide, T., et al.
Published: (2008)
On exact solutions of the nonlinear heat equation
by: A. F. Barannyk, et al.
Published: (2019)
by: A. F. Barannyk, et al.
Published: (2019)
On exact solutions of the nonlinear heat equation
by: Barannyk, A.F., et al.
Published: (2019)
by: Barannyk, A.F., et al.
Published: (2019)
Exact solutions for a nonstandard viscous Cahn—Hilliard system
by: P. O. Mchedlov-Petrosyan, et al.
Published: (2017)
by: P. O. Mchedlov-Petrosyan, et al.
Published: (2017)
Exact solutions for a nonstandard viscous Cahn—Hilliard system
by: Mchedlov-Petrosyan, P.O., et al.
Published: (2017)
by: Mchedlov-Petrosyan, P.O., et al.
Published: (2017)
Effect of correlated hopping on thermoelectric properties: Exact solutions for the Falicov-Kimball model
by: Shvaika, A.M.
Published: (2014)
by: Shvaika, A.M.
Published: (2014)
Modulation of ROS/NO production by murine peritoneal macrophages in response to bacterial CPG DNA stimulation
by: Olishevsky, S., et al.
Published: (2006)
by: Olishevsky, S., et al.
Published: (2006)
Experimental study of antiangiogenic and photodynamic therapies combination for treatment of peritoneal carcinomatosis: preliminary results
by: Piatrouskaya, N.A., et al.
Published: (2010)
by: Piatrouskaya, N.A., et al.
Published: (2010)
Mathematical modeling of transport and logistics infrastructure for the post-war reconstruction of Ukraine
by: Horoshkova, Lidiia A., et al.
Published: (2024)
by: Horoshkova, Lidiia A., et al.
Published: (2024)
Pumping of energy into a mesoscopic ring: Exactly solvable model
by: Gorelik, L., et al.
Published: (1998)
by: Gorelik, L., et al.
Published: (1998)
Improved mathematical model of fluid level's dynamics in a drum-type steam generator as a controlled object
by: A. A. Klimchuk, et al.
Published: (2019)
by: A. A. Klimchuk, et al.
Published: (2019)
Phase transition in a cell fluid model
by: Kozlovskii, M.P., et al.
Published: (2017)
by: Kozlovskii, M.P., et al.
Published: (2017)
T-solutions for anisotropic fluid spheres in GR
by: Burlikov, V. V., et al.
Published: (2013)
by: Burlikov, V. V., et al.
Published: (2013)
T-solutions for anisotropic fluid spheres in GR
by: Burlikov, V.V., et al.
Published: (2001)
by: Burlikov, V.V., et al.
Published: (2001)
Exact analytical solution of a classical problem of the Josephson tunnel junction
by: Kuplevakhsky, S.V., et al.
Published: (2010)
by: Kuplevakhsky, S.V., et al.
Published: (2010)
Similar Items
-
Biological and analytical studies of peritoneal dialysis solutions
by: N. Hudz, et al.
Published: (2018) -
Symmetry and exact solution of heat-mass transfer equations in thermonuclear plasma
by: Cherniga, R.M., et al.
Published: (1996) -
Advanced fluid modelling of transport in tokamaks
by: Weiland, J.
Published: (2002) -
Critical transport and critical scattering in fluids
by: Folk, R.
Published: (2000) -
Circadian variation in functional polarization of murine peritoneal macrophages
by: R. Dovhyi, et al.
Published: (2022)