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Team:Evry/Modeltr1
From 2013.igem.org
| Line 70: | Line 70: | ||
<tr> | <tr> | ||
<td>Sp</td> | <td>Sp</td> | ||
| - | <td>mol | + | <td>mol.s<sup>-1</sup></td> |
<td>Iron pulse</td> | <td>Iron pulse</td> | ||
<td><a href="#Ref">[1][2]</a></td> | <td><a href="#Ref">[1][2]</a></td> | ||
| Line 76: | Line 76: | ||
<tr> | <tr> | ||
<td>v</td> | <td>v</td> | ||
| - | <td>m | + | <td>m.s<sup>-1</sup></td> |
<td>Chyme's flow average speed</td> | <td>Chyme's flow average speed</td> | ||
<td><a href="#Ref">[2]</a></td> | <td><a href="#Ref">[2]</a></td> | ||
| Line 88: | Line 88: | ||
<tr> | <tr> | ||
<td>α</td> | <td>α</td> | ||
| - | <td>s-1</td> | + | <td>s<sup>-1</sup></td> |
<td>Duodenum absorption rate</td> | <td>Duodenum absorption rate</td> | ||
<td>tuned</td> | <td>tuned</td> | ||
| Line 94: | Line 94: | ||
<tr> | <tr> | ||
<td>σ</td> | <td>σ</td> | ||
| - | <td>s-1</td> | + | <td>s<sup>-1</sup></td> |
<td>Regulation coefficient</td> | <td>Regulation coefficient</td> | ||
<td>tuned</td> | <td>tuned</td> | ||
Revision as of 10:26, 26 October 2013
Disease model
Introduction
In the very beginning of the project, we focused on the duodenum and the iron absorbed by it. In order to determine if a flush treatment strategy was viable, we first had to model the behaviour of the duodenum regarding iron absorption.
Observations
60% of iron absorption takes place in the duodenum, the last 40% in the jejunum. The duodenum is located at the upper intestines, right after the stomach, and is usually 300mm long.
A healthy person absorbs about 10% (2mg a day) of the daily iron uptake, while a hemochromatosis person's absorption varies between 50% and 100% of the daily iron uptake[1].
Goals
Our goal in this part of the model is to create a generic duodenal iron absorption model so that:
- We can have a realistic base for the Final flush treatment model
- The model can can be reused in the future
Assumptions
- Our bacteria don't settle in the duodenum
- No regulation in the patient's iron absorption
- Constant iron flow
- Homogeneous fluid
- The bacterial quantity is constant
- The bacterial natural absorption is insignificant compared to the chelation
- The patient ingests 20mg of iron per day (Guideline Daily Amounts)
Materials and methods
The duodenum is considered as a cylinder in which a homogeneous fluid flows. So, this model is divided into three steps: the filling of duodenum, the steady state flowing step and the emptying.
This model has two variables : the iron disolved in the middle (S) and the absorbed iron (A).
We considered the chyme arrives in the duodenum at a constant rate. S has a linear component Sp which represents the pulses. The also are an emptying component and an absorption component.
We assumed a linear absorption and a negative feedback regulation for A.
Finally:
| Name | Unit | Description | Reference |
| Sp | mol.s-1 | Iron pulse | [1][2] |
| v | m.s-1 | Chyme's flow average speed | [2] |
| L | m | Duodenum length | [3] |
| α | s-1 | Duodenum absorption rate | tuned |
| σ | s-1 | Regulation coefficient | tuned |
Parameters tuning :
Results
Conclusion
Models and scripts
