EFFICIENT SOLUTION OF DIFFERENTIAL-EQUATIONS FOR KIDNEY CONCENTRATING MECHANISM ANALYSES

被引:19
作者
TEWARSON, RP
WANG, H
STEPHENSON, JL
JEN, JF
机构
[1] SUNY STONY BROOK,DEPT APPL MATH,STONY BROOK,NY 11794
[2] CORNELL UNIV,MED CTR,COLL MED,DEPT PHYSIOL,NEW YORK,NY 10021
基金
美国国家卫生研究院;
关键词
D O I
10.1016/0893-9659(91)90078-A
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Model connectivity is utilized to develop efficient methods to solve large systems of non-linear algebraic equations arising in the numerical solutions of multipoint boundary value differential equations describing the kidney concentrating mechanism.
引用
收藏
页码:69 / 72
页数:4
相关论文
共 9 条
[1]  
LAYTON HE, 1990, AM J PHYSIOL, V258, pF1110
[2]   EFFECTIVENESS OF A SALT TRANSPORT CASCADE IN THE RENAL MEDULLA - COMPUTER-SIMULATIONS [J].
LORY, P .
AMERICAN JOURNAL OF PHYSIOLOGY, 1987, 252 (06) :F1095-F1102
[3]   SOLUTION OF A MULTINEPHRON, MULTISOLUTE MODEL OF THE MAMMALIAN KIDNEY BY NEWTON AND CONTINUATION METHODS [J].
MEJIA, R ;
STEPHENSON, JL .
MATHEMATICAL BIOSCIENCES, 1984, 68 (02) :279-298
[4]   ELECTROLYTE TRANSPORT IN A CENTRAL CORE MODEL OF THE RENAL MEDULLA [J].
STEPHENSON, JL ;
ZHANG, Y ;
EFTEKHARI, A ;
TEWARSON, R .
AMERICAN JOURNAL OF PHYSIOLOGY, 1987, 253 (05) :F982-F997
[5]   ELECTROLYTE, UREA, AND WATER TRANSPORT IN A 2-NEPHRON CENTRAL CORE MODEL OF THE RENAL MEDULLA [J].
STEPHENSON, JL ;
ZHANG, Y ;
TEWARSON, R .
AMERICAN JOURNAL OF PHYSIOLOGY, 1989, 257 (03) :F399-F413
[6]   NOTE ON SOLUTION OF LARGE SPARSE SYSTEMS OF NON-LINEAR EQUATIONS [J].
TEWARSON, RP ;
STEPHENSON, JL ;
JUANG, LL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 63 (02) :439-445
[7]   USE OF PHYSIOLOGICAL CONNECTIVITY IN SOLVING RENAL CONCENTRATING MECHANISM EQUATIONS [J].
TEWARSON, RP ;
STEPHENSON, JL .
MATHEMATICAL AND COMPUTER MODELLING, 1990, 14 :529-532
[8]  
TEWARSON RP, 1991, INTR C MATH COMPUT M
[9]   3-DIMENSIONAL ANATOMY AND RENAL CONCENTRATING MECHANISM .1. MODELING RESULTS [J].
WEXLER, AS ;
KALABA, RE ;
MARSH, DJ .
AMERICAN JOURNAL OF PHYSIOLOGY, 1991, 260 (03) :F368-F383