"
Team:St Andrews/Modelling
From 2012.igem.org
ZoeAshwood (Talk | contribs) |
|||
| Line 1: | Line 1: | ||
| + | |||
{{:Team:St_Andrews/Template:Header}} | {{:Team:St_Andrews/Template:Header}} | ||
| Line 25: | Line 26: | ||
<ul class="nav nav-pills"> | <ul class="nav nav-pills"> | ||
<li><a href="#introduction">Introduction</a></li> | <li><a href="#introduction">Introduction</a></li> | ||
| - | <li><a href="# | + | <li><a href="#model">Model</a></li> |
</ul> | </ul> | ||
</div> | </div> | ||
| Line 39: | Line 40: | ||
<h1>Introduction</h1> | <h1>Introduction</h1> | ||
| - | <p>While Team St Andrews' | + | <p>While Team St Andrews' "Omega Squad" works to produce EPA Omega 3 |
| - | Fatty Acids in the Laboratory; our | + | Fatty Acids in the Laboratory; our "Mod Squad" motivates their endeav- |
ours, quantitatively. In particular, we seek to model the time evolution of | ours, quantitatively. In particular, we seek to model the time evolution of | ||
human-available EPA and DHA Omega 3 Fatty Acids from the year 1950 | human-available EPA and DHA Omega 3 Fatty Acids from the year 1950 | ||
and into the future. We will also investigate recent trends indicating in- | and into the future. We will also investigate recent trends indicating in- | ||
creasing demand for these resources: due to population growth, as well as | creasing demand for these resources: due to population growth, as well as | ||
| - | heightened awareness of the health | + | heightened awareness of the health benefits associated with a diet containing |
these Fatty Acids.</p> | these Fatty Acids.</p> | ||
</section> | </section> | ||
| + | |||
| + | <section id="model"> | ||
| + | <br> | ||
| + | <h1>Introduction</h1> | ||
| + | |||
| + | <p></p> | ||
| + | </section> | ||
| + | |||
| + | <!-- Our model | ||
| + | ================================================== --> | ||
| + | <section id="model"> | ||
| + | <br> | ||
| + | <h1>Introduction</h1> | ||
| + | |||
| + | <p>Our Model relies on a number of assumptions:</p> | ||
| + | <p><b>Assumption 1:<b> Humans obtain their necessary EPA and DHA Omega 3 Fatty Acids from fish, and fish alone. (Insert justification for this assump- tion)</p> | ||
| + | <p><b>Assumption 2:</b> In addition to Assumption 1, only mature fish (insert clear definition of “mature”) can be considered a source of EPA and DHA. (Justification: current catch is composed mostly of mature fish (data to sup- port statement). This assumption also greatly simplifies our model: refer to Equation (4) later in this document)</p> | ||
| + | <p>Let <i>ω(t)</i> represent the DHA and EPA Omega 3 available for human con- sumption at time <i>t</i> years (in tonnes). Further, let <i>B(t)</i> represent total ma- ture fish biomass in the world at time <i>t</i> years (again, in tonnes) and <i>ωB(t)</i> represent the average Omega 3 (DHA + EPA) content per tonne of mature fish biomass at t.</p> | ||
| + | |||
| + | </section> | ||
<!-- Introduction | <!-- Introduction | ||
================================================== --> | ================================================== --> | ||
<section id="introduction"> | <section id="introduction"> | ||
| - | + | <br> | |
<h1>Introduction</h1> | <h1>Introduction</h1> | ||
| - | + | <p>While Team St Andrews' \Omega Squad" works to produce EPA Omega 3 | |
Fatty Acids in the Laboratory; our \Mod Squad" motivates their endeav- | Fatty Acids in the Laboratory; our \Mod Squad" motivates their endeav- | ||
ours, quantitatively. In particular, we seek to model the time evolution of | ours, quantitatively. In particular, we seek to model the time evolution of | ||
| Line 64: | Line 85: | ||
these Fatty Acids.</p> | these Fatty Acids.</p> | ||
</section> | </section> | ||
| + | |||
| + | |||
<!-- Data collection | <!-- Data collection | ||
Revision as of 16:48, 11 July 2012
Resource: Omega 3
Past, Present and Future Supply and Demand
Introduction
While Team St Andrews' "Omega Squad" works to produce EPA Omega 3 Fatty Acids in the Laboratory; our "Mod Squad" motivates their endeav- ours, quantitatively. In particular, we seek to model the time evolution of human-available EPA and DHA Omega 3 Fatty Acids from the year 1950 and into the future. We will also investigate recent trends indicating in- creasing demand for these resources: due to population growth, as well as heightened awareness of the health benefits associated with a diet containing these Fatty Acids.
Introduction
Introduction
Our Model relies on a number of assumptions:
Assumption 1: Humans obtain their necessary EPA and DHA Omega 3 Fatty Acids from fish, and fish alone. (Insert justification for this assump- tion)
Assumption 2: In addition to Assumption 1, only mature fish (insert clear definition of “mature”) can be considered a source of EPA and DHA. (Justification: current catch is composed mostly of mature fish (data to sup- port statement). This assumption also greatly simplifies our model: refer to Equation (4) later in this document)
Let ω(t) represent the DHA and EPA Omega 3 available for human con- sumption at time t years (in tonnes). Further, let B(t) represent total ma- ture fish biomass in the world at time t years (again, in tonnes) and ωB(t) represent the average Omega 3 (DHA + EPA) content per tonne of mature fish biomass at t.
Introduction
While Team St Andrews' \Omega Squad" works to produce EPA Omega 3 Fatty Acids in the Laboratory; our \Mod Squad" motivates their endeav- ours, quantitatively. In particular, we seek to model the time evolution of human-available EPA and DHA Omega 3 Fatty Acids from the year 1950 and into the future. We will also investigate recent trends indicating in- creasing demand for these resources: due to population growth, as well as heightened awareness of the health bene�ts associated with a diet containing these Fatty Acids.
Data collection
When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$
