Line 408: | Line 408: | ||
<figure class="d-flex flex-column justify-content-center align-items-center px-lg-3"> | <figure class="d-flex flex-column justify-content-center align-items-center px-lg-3"> | ||
<a href="https://static.igem.org/mediawiki/parts/8/82/T--NCKU_Tainan--e.png" target="_blank" style="width:60%"><img src="https://static.igem.org/mediawiki/parts/8/82/T--NCKU_Tainan--e.png" alt="" title="" style="width:100%"></a> | <a href="https://static.igem.org/mediawiki/parts/8/82/T--NCKU_Tainan--e.png" target="_blank" style="width:60%"><img src="https://static.igem.org/mediawiki/parts/8/82/T--NCKU_Tainan--e.png" alt="" title="" style="width:100%"></a> | ||
− | |||
</figure> | </figure> | ||
</div> | </div> | ||
Line 419: | Line 418: | ||
</div> | </div> | ||
</div> | </div> | ||
+ | |||
+ | <div class="container-fluid p-0"> | ||
+ | <div class="row no-gutters"> | ||
+ | <div class="col-lg "> | ||
+ | <figure class="d-flex flex-column justify-content-center align-items-center px-lg-3"> | ||
+ | <a href="https://static.igem.org/mediawiki/parts/f/f9/T--NCKU_Tainan--f.png" target="_blank" style="width:60%"><img src="https://static.igem.org/mediawiki/parts/f/f9/T--NCKU_Tainan--f.png" alt="" title="" style="width:100%"></a> | ||
+ | </figure> | ||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
<div class="d-flex flex-column flex-md-row justify-content-between mb-2"> | <div class="d-flex flex-column flex-md-row justify-content-between mb-2"> | ||
<div class="flex-grow-1"> | <div class="flex-grow-1"> | ||
Line 424: | Line 434: | ||
</div> | </div> | ||
</div> | </div> | ||
+ | |||
+ | <div class="container-fluid p-0"> | ||
+ | <div class="row no-gutters"> | ||
+ | <div class="col-lg "> | ||
+ | <figure class="d-flex flex-column justify-content-center align-items-center px-lg-3"> | ||
+ | <a href="https://static.igem.org/mediawiki/parts/0/07/T--NCKU_Tainan--g.png" target="_blank" style="width:60%"><img src="https://static.igem.org/mediawiki/parts/0/07/T--NCKU_Tainan--g.png" alt="" title="" style="width:100%"></a> | ||
+ | </figure> | ||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
<div class="d-flex flex-column flex-md-row justify-content-between mb-2"> | <div class="d-flex flex-column flex-md-row justify-content-between mb-2"> | ||
<div class="flex-grow-1"> | <div class="flex-grow-1"> | ||
Line 429: | Line 450: | ||
</div> | </div> | ||
</div> | </div> | ||
+ | |||
+ | <div class="container-fluid p-0"> | ||
+ | <div class="row no-gutters"> | ||
+ | <div class="col-lg "> | ||
+ | <figure class="d-flex flex-column justify-content-center align-items-center px-lg-3"> | ||
+ | <a href="https://static.igem.org/mediawiki/parts/f/f0/T--NCKU_Tainan--h.png" target="_blank" style="width:60%"><img src="https://static.igem.org/mediawiki/parts/f/f0/T--NCKU_Tainan--h.png" alt="" title="" style="width:100%"></a> | ||
+ | </figure> | ||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
</div> | </div> | ||
</section> | </section> |
Revision as of 14:31, 26 October 2020
Software in Modeling
Description
For every iGEM team, modeling is a necessary part to link wet team experimental results and dry team theories together. In most of the cases, we need to simulate the behavior of chemicals or bacteria, such as distribution or concentration of them. Scientists often utilize partial differentiation equations (PDEs) to describe those target substances’ behavior. However, PDEs usually don’t have solutions due to the lack of strategies to deal with them since the governing equation, say the heat equation, is usually involved in the distance and the time passed by, which implies it to be a function that has 2 variables. Here, we introduce a method that might help future iGEM teams to deal with PDEs—double Laplace transform.
Definition
The definition of the single-variable Laplace transform, which is what we normally adopted, is listed below:
The definition of the double-variable Laplace transform (or, double Laplace transform) has a similar form, listed below:
Notice that for single variable Laplace transform, the x domain is defined: { x | x > 0 }, so analogously, the domain of double Laplace transform, (x, y), is defined to be in the first quadrant, namely { (x, y) | x, y > 0 }.
Properties
The general properties of double Laplace transform are listed below [1]:
Solving Partial Differential Equations
We performed a solution to one example of a partial differential equation using double Laplace transform.
Problem :
Solve the equation
with
Solution :
Taking the double Laplace transform of both side of the equation.
with
taking the inverse Laplace transform with respect to q gives
taking the inverse Laplace transform with respect to p gives the solution
from the property of convolution, we obtained the solution.
Software in APP
Description
In order to create a personalized IOP tracking system, we designed an app - Eye Cloud that works with Eye Screen. Eye Cloud not only displays the IOP value on the phone through the Bluetooth connection but also upload each measurement value to ThingSpeak’s personal account that is convenient for long-term tracking and observation. In addition, it can also be used as a tool for large-scale data collection to assist the development of Eye kNOw or other research related to intraocular pressure.
App Design
ThingSpeak is an IoT analytics platform service that allows us to aggregate, visualize, and analyze live data streams in the cloud. We can easily send data to ThingSpeak from Eye Screen, allowing users to upload and record IOP value through a URL (your personal API Keys)
Sign up for ThingSpeak.
Click Channels > My Channels. Create a new channel.
Check the boxes next to Fields 1–3. Enter these channel setting values:
Click Save Channel at the bottom of the settings.
Click API Keys tab and copy the write URL.
Name : Eye Screen
Field 1 : IOP (mV)
User manual of Eye Cloud
This is the homepage of Eye Cloud, with our lovely logo. Click the “START” button to start.
Then the next screen will ask if you have applied for a ThingSpeak account.
Click “Bluetooth ” button to connect with Eye Screen when reaching this page.
Bluetooth connection screen.
Click “Yes! Ready to start” button to next page and wait for your IOP receiving.
Click “No, click to apply” button to link to ThingSpeak homepage.
Click “No,thanks” button to start directly
After the IOP value shows on the screen, click the “Record” button to upload data to your ThingSpeak’s personal account, monitoring daily or monthly measurement records.
References
- Debnath L. The Double Laplace Transforms and Their Properties with Applications to Functional, Integral and Partial Differential Equations. International Journal of Applied and Computational Mathematics. 2015;2(2):223-241.