A numerical model of the renal distal tubule
Catherine
Lloyd
Auckland Bioengineering Institute, The University of Auckland
Model Status
This is the CellML description of Chang and Fujita's 1999 numerical model of the renal distal tubule. It should be noted that the initial conditions used in this description represent those in the early distal tubule. For model representations of the late distal tublule, these initial values should be replaced with those listed in the orginal paper for the late distal tubule. The model from the original paper has been modified slightly to include differential equations defining the change in solute concentrations over time. These equations were added to facilitate the use of the CellML code in CMISS. Note that the model is not running correctly in COR or OpenCell and there are unit inconsistencies.
Model Structure
ABSTRACT: A numerical model of the rat distal tubule was developed to simulate water and solute transport in this nephron segment. This model incorporates the following: 1) Na-Cl cotransporter, K-Cl cotransporter, Na channel, K channel, and Cl channel in the luminal membrane; 2) Na-K-ATPase, K channel, and Cl channel in the basolateral membrane; and 3) conductances for Na, K, and Cl in the paracellular pathway. Transport rates were calculated using kinetic equations. Axial heterogeneity was represented by partitioning the model into two subsegments with different sets of model parameters. Model equations derived from the principles of mass conservation and electrical neutrality were solved numerically. Values of the model parameters were adjusted to minimize a penalty function that was devised to quantify the difference between model predictions and experimental results. The developed model could simulate the water and solute transport of the distal tubule in the normal state, as well as in conditions including thiazide or amiloride application and various levels of sodium load and tubular flow rate.
The original paper reference is cited below:
A numerical model of the renal distal tubule, Hangil Chang and Toshiro Fujita, 1999,
American Journal of Physiology, 276, F952-F959. PubMed ID: 10362782
diagram of the model
Transport mechanisms of model tubule. In the luminal cell membrane, there are Na-Cl cotransporter, K-Cl cotransporter, Na channel, K channel, and Cl channel. In the basolateral cell membrane, there are Na-K-ATPase, K channel, and Cl channel. In the paracellular pathway, which faces luminal and basolateral compartments, there are conductances for sodium, potassium, and chloride. Axial heterogeneity of the distal tubule was represented by changing the model parameters in the early and the late parts of the model tubule.
kidney
electrophysiology
The University of Auckland
Auckland Bioengineering Institute
The University of Auckland, Auckland Bioengineering Institute
This is the CellML description of Chang and Fujita's 1999 numerical model of the renal distal tubule. It should be noted that the initial conditions used in this description represent those in the early distal tubule. For model representations of the late distal tublule, these initial values should be replaced with those listed in the orginal paper for the late distal tubule. The model from the original paper has been modified slightly to include differential equations defining the change in solute concentrations over time. These equations were added to facilitate the use of the CellML code in CMISS.
Hangil
Chang
10362782
keyword
2003-02-17T00:00:00+00:00
American Journal of Physiology
c.lloyd@auckland.ac.nz
Catherine
Lloyd
May
Catherine
Lloyd
May
A CellML description of Chang and Fujita's 1999 numerical model of the
renal distal tubule.
Renal Distal Tubule
A numerical model of the renal distal tubule
276
F931
F951
Toshiro
Fujita
2007-06-05T09:18:35+12:00
1999-01-01
Catherine Lloyd
The new version of this model has been re-coded to remove the reaction element and replace it with a simple MathML description of the model reaction kinetics. This is thought to be truer to the original publication, and information regarding the enzyme kinetics etc will later be added to the metadata through use of an ontology. The model runs in the PCEnv simulator but gives a flat output.
This is the CellML description of Chang and Fujita's 1999 numerical model of the renal distal tubule. It should be noted that the initial conditions used in this description represent those in the early distal tubule. For model representations of the late distal tublule, these initial values should be replaced with those listed in the orginal paper for the late distal tubule. The model from the original paper has been modified slightly to include differential equations defining the change in solute concentrations over time. These equations were added to facilitate the use of the CellML code in CMISS.
Catherine Lloyd