On the solution of equations for renal counterflow models
โ Scribed by R.P. Tewarson; J.L. Stephenson; M. Garcia; Y. Zhang
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 682 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0010-4825
No coin nor oath required. For personal study only.
โฆ Synopsis
The results of a comparative study of three discretization techniques and the solution of the resulting algebraic equations by three methods is given. For this study, a four-tube central core model with diffusion in the core was selected and equations were derived for a coherent and efficient implementation.
The results of this study show that sparse matrix techniques that take the physiological connectivity of the kidney lead to significant savings in computer storage, running time and overall cost.
Renal counterflow
Central core model Mathematical models Sparse matrix techniques Physiological connectivity Numerical methods
๐ SIMILAR VOLUMES
Mammals concentrate urine by intricate counterflow systems in their kidneys. The mathematical models of such systems involve the numerical solution of a system of differential equations. (A preliminary report of this work was given in Notices of the American Mathematical Society 21, A498 (1974).) Th
Literature deahng with multicomponent mass transfer presents two distinctly different relationships defining diffusion fluxes at a phase boundary in multicomponent systems. The relationships, in matrix form, are based on the film theory. The first relationship results from the solution of continuity
In this paper, a scheme for "feel better" or optimal hemodialysis (OPTHD) based on a two-compartmental mode1 has been proposed. Contrary to the conventional constant blood flow dialysis (CVTHD), this scheme suggests that the blood flow rate should vary in stages in order to avoid or minimize the dis