# Transp1sol.Comp2F

A two compartment one solute facilitated transporter model with flow through one compartment. Includes binding steps and transmembrane flip rates for transporter.

Model number: 0008

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## Description

A two compartment, one solute facilitated transporter kinetic model. Flow is modeled through volume V1, with an input concentration of our solute Ain. Binding rates to the transporter are given, as well as flip rates. Flip rates are also given for when nothing is bound to the transporter. This is a saturable four state transporter model. Fluxes linear in TA complex concentrations.

## Equations

#### 4 state transporter between two compartments with flow in the first compartment:

where

*Surf* is the surface area of the membrane,

*Flow* is the inflow and outflow from compartment 1,

*V _{1}* is the volume of compartment 1,

*V*is the volume of compartment 2,

_{2}*K*and

_{dA1}*K*are equilibrium dissociation constants,

_{dA2}*k*and

_{onA1}*k*are the on rate constants,

_{onA2}*k*and

_{offA1}*k*are the off rate constants,

_{offA2}*KT*is the flip rate for the empty transporter from side 1 to side 2,

_{12}*KT*is the flip rate for the empty transporter from side 2 to side 1,

_{21}*KTA*is the flip rate for the filled transporter from side 1 to side 2, and

_{12}*KTA*is the flip rate for the filled transporter from side 2 to side 1.

_{21}** WARNING**: An additional thermodynamic constraint is not included in the
model.
For a passive transporter, the transport rate constants should satisfy
the following constraint:

The equations for this model may also be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.

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## References

None.

## Related Models

Master Two Compartment Transporter Model (includes all cases):

Transporter models from Compartment Tutorial (mostly passive exchange):- Compartmental
- Comp2Exchange: 2 compartments, no flow, 1 solute, 2 sided passive transporter
- Comp2FlowExchange: 2 compartments, with flow, 1 solute, 2 sided passive transporter
- Comp2ExchangeReaction: 2 compartments, no flow, 2 solutes, 2 sided passive transporter
- Comp2FlowExchangeReaction: 2 compartments, with flow, 2 solutes, 2 sided passive transporter
- Comp2FlowMMExchangeReaction: 2 compartments, with flow, 2 solutes, 4 single 1 sided Michaelis-Menten transporters
- Distributed
- BTEX20: 2 distributed regions (PDE), with flow, 1 solute, 2 sided passive transporter
- CTEX20: 2 distributed regions (serially connected ODEs), with flow, 1 solute, 2 sided passive transporter
- CTEX20b: 2 distributed regions (serially connected ODEs), with flow, 1 solute, 2 sided passive and 1 sided Michaelis-Menten transporter

- No Flow
- TranspMM1sidedComp2: 2 compartments, no flow, 1 solute, 1 sided MM transporter
- TranspMM.2sided.Comp2: 2 compartments, no flow, 1 solute, both 1 sided and 2 sided MM transporters
- With Flow

- 1 solute
- Transp1sol.Comp2: 2 compartments, no flow, 1 solute, T1-T2 transporter
- Transp1sol.Comp2F: 2 compartments, with flow, 1 solute, T1-T2 transporter
- Two solutes
- Transp2sol.Comp2: 2 compartments, no flow, 2 solutes, competitive T1-T2 transporter
- Transp2sol.Comp2: 2 compartments, with flow, 2 solutes, competitive T1-T2 transporter
- Transp2sol.Distrib2F: 2 regions with flow, 2 solutes, both T1-T2 and passive transporters, Michaelis-Menten enzymatic reaction, Counter-Transport Faciliation

## Key Terms

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## Model History

Get Model history in CVS.## Acknowledgements

Please cite **www.physiome.org** in any publication for which this software is used and send one reprint to the address given below:

The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

[This page was last modified 02Nov16, 3:05 pm.]

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JSim and SBW 6/1/09-5/31/13; NIH/NHLBI T15 HL88516-01 Modeling for Heart, Lung and Blood: From Cell to Organ,
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