The overall aim in this continuing project is to integrate experimental data on water and solute transport at the membrane level into a predictive model of whole kidney function that is useful in both experimental design and patient management. During this period the focus is on the handling of Na, K, urea, and water and their control by ADH and aldosterone.
The specific aims are: 1. To model thick ascending limb of Henle's loop (TAHL). This model, based on models to toad bladder and proximal tubule (PT), will include both cellular and paracellular pathways and the following variables: Na+, K+, C1-, urea, hydrostatic pressure, electric potential, and volume flow; it may also include the additional variables H+, HCO3+, HPO42-, H2PO4-, NH4+, and glucose and will utilize a linear non-equilibrium thermodynamic (NET) formalism to describe fluxes. A primary objective will be to understand transmural fluxes of Na+, K+, C1- and NH4+ in terms of apical and basolateral membrane transport systems. Another will be to model the target action of ADH and diuretics on the apical co-transport system. 2. To incorporate the TAHL model together with the PT model into a central core model of the cortex and outer medulla. The extended model will be used to interpret cortical micropuncture data and certain clearance data, particularly from the isolated perfused kidney. 3. To model the cortical collecting tubule (CCT). By including the carbonic anhydrase (CA)-rich intercalated cell, this will be the first model of a cellularly heterogeneous epithelium. The model will be used to explore K+ handling, H+ secretion, HCO3- secretion, water absorption and their control and interaction in the experimentally isolated and perfused tubule, and will also be incorporated into the central core model of a cortical nephron. 4. To develop models of descending (DHL) and ascending (AHL) thin limbs of the loop of Henle that include cellular and paracellular pathways. These models will be used to explore the hypothesis that cycling of potassium from AHL to DHL generates the inner medullary concentration gradient. 5. To extend a two nephron model of the medulla to a) include the extended segmental models and b) to incorporate additional details of the architectural organization of the medulla; and to develop and to utilize new methods of parameter estimation.

Agency
National Institute of Health (NIH)
Institute
National Institute of Diabetes and Digestive and Kidney Diseases (NIDDK)
Type
Research Project (R01)
Project #
5R01DK031550-06
Application #
3230155
Study Section
Physiology Study Section (PHY)
Project Start
1984-01-01
Project End
1993-02-28
Budget Start
1990-03-01
Budget End
1991-02-28
Support Year
6
Fiscal Year
1990
Total Cost
Indirect Cost
Name
Weill Medical College of Cornell University
Department
Type
Schools of Medicine
DUNS #
201373169
City
New York
State
NY
Country
United States
Zip Code
10065
Tang, Y; Stephenson, J L (1996) Calcium dynamics and homeostasis in a mathematical model of the principal cell of the cortical collecting tubule. J Gen Physiol 107:207-30
Tang, Y; Stephenson, J L; Othmer, H G (1996) Simplification and analysis of models of calcium dynamics based on IP3-sensitive calcium channel kinetics. Biophys J 70:246-63
Jen, J F; Wang, H; Tewarson, R P et al. (1995) Comparison of central core and radially separated models of renal inner medulla. Am J Physiol 268:F693-7
Stephenson, J L; Jen, J F; Wang, H et al. (1995) Convective uphill transport of NaCl from ascending thin limb of loop of Henle. Am J Physiol 268:F680-92
Stephenson, J L; Wang, H; Tewarson, R P (1995) Effect of vasa recta flow on concentrating ability of models of renal inner medulla. Am J Physiol 268:F698-709
Jen, J F; Stephenson, J L (1994) Externally driven countercurrent multiplication in a mathematical model of the urinary concentrating mechanism of the renal inner medulla. Bull Math Biol 56:491-514
Strieter, J; Stephenson, J L; Giebisch, G et al. (1992) A mathematical model of the rabbit cortical collecting tubule. Am J Physiol 263:F1063-75
Strieter, J; Weinstein, A M; Giebisch, G et al. (1992) Regulation of K transport in a mathematical model of the cortical collecting tubule. Am J Physiol 263:F1076-86
Strieter, J; Stephenson, J L; Palmer, L G et al. (1990) Volume-activated chloride permeability can mediate cell volume regulation in a mathematical model of a tight epithelium. J Gen Physiol 96:319-44