A natural partitioning exists for kidney models. For example, if all the variables and equations associated with boundary values and interstitim are classified as basic, then the equations and variables corresponding to each tube can be solved independently. It will be shm how partitioning technique
Parallel algorithms for multinephron renal medullary models
โ Scribed by K. Sun; I.H. Moon; R.P. Tewarson; J.L. Stephenson
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 764 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
A multiple-nephron inner medullary model is extended to include the outer medulla. The number of solutes modeled is also increased to include osmolyte in the central compartment. Two efficient parallel algorithms are described for solving the systems of differential and algebraic equations arising in mathematical models of solute and water flow along the tubules with permeable walls. We show that both algorithms approach a perfect speedup rate when modeling a large number of nephrons.
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An increasing number of scientific programs exhibit two forms of parallelism, often in a nested fashion. At the outer level, the application comprises coarse-grained task parallelism, with dependencies between tasks reflected by an acyclic graph. At the inner level, each node of the graph is a data-