Location: Passive epithelial cell transport models @ df7963bbe6ac / flux-equation.xml

Author:
David Nickerson <nickerso@users.sourceforge.net>
Date:
2013-05-01 10:16:44-05:00
Desc:
adding initial values for parameters for passive transport from the Latta et al 1984 paper
Permanent Source URI:
https://models.physiomeproject.org/w/andre/passive-transport/rawfile/df7963bbe6ace698fa5a5c15b94d87e0fe62c36a/flux-equation.xml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="model"
	xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink"
	xmlns:cmeta="http://www.cellml.org/metadata/2.0#" cmeta:id="model">
	<component name="component" cmeta:id="component">
		<!-- 
		J^x_i = P^x_i * z_i * F/RT * (C^y_i - C^z_i)
		J^x_i - flux of solute i through membrane x 
		P^x_i - permeability of membrane x to solute i 
		z_i - valence of solute i 
		C^y_i - concentration of solute i in compartment y
		C^z_i - concentration of solute i in compartment z
		-->
		<math xmlns="http://www.w3.org/1998/Math/MathML">
			<apply id="flux-equation">
				<eq />
				<ci>J</ci>
				<apply>
					<times />
					<ci>P</ci>
					<ci>z</ci>
					<apply>
						<divide />
						<ci>F</ci>
						<apply>
							<times />
							<ci>R</ci>
							<ci>T</ci>
						</apply>
					</apply>
					<apply>
						<minus />
						<ci>Cy</ci>
						<ci>Cz</ci>
					</apply>
				</apply>
			</apply>
		</math>
		<variable name="J" units="flux_units" private_interface="out"
			public_interface="out" />
		<variable name="P" units="permeability_units"
			private_interface="out" public_interface="in" />
		<variable name="z" units="dimensionless" private_interface="out"
			public_interface="in" />
		<variable name="F" units="faraday_units" private_interface="out"
			public_interface="in" />
		<variable name="R" units="gas_constant_units"
			private_interface="out" public_interface="in" />
		<variable name="T" units="temperature_units"
			private_interface="out" public_interface="in" />
		<variable name="Cy" units="concentration_units"
			private_interface="out" public_interface="in" />
		<variable name="Cz" units="concentration_units"
			private_interface="out" public_interface="in" />
	</component>
	<import xlink:href="./units.xml">
		<units name="flux_units" units_ref="flux_units" />
		<units name="permeability_units" units_ref="permeability_units" />
		<units name="faraday_units" units_ref="faraday_units" />
		<units name="gas_constant_units" units_ref="gas_constant_units" />
		<units name="temperature_units" units_ref="temperature_units" />
		<units name="concentration_units" units_ref="concentration_units" />
	</import>
</model>