Parallel algorithms for multinephron renal medullary models

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.