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Job Summary:
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| Job Type: |
Project |
| Budget: |
$ 20-100 |
| Required
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(None) |
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| Status: |
Closed for bidding
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Rating: (No Feedback Yet)
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| Award Reliability: |
1 posted 0 paid |
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| Location: |
Buffalo, NY, United States
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| Member Since: |
April 25, 2011 |
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| Invited Users: |
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Description
Problem Statement:
Transdermal patches, applied to a person\'s skin, are used frequently to regulate the release of pharmaceuticals such as nicotine and estrogen. Mathematical models of the release and metabolism of a drug from a patch are used by designers to determine their efficacy and safety. These models are also used to determine the patch size and drug loading for different weight patients.
A simple form of the model is given in the following differential equation:
equation 1 dC/dt= ((ap*kt*po*(e^-kp*t))-km*Cd)/b
Here:
Cd = the drug concentration in the patient (mg/lb)
t = time in minutes
ap = patch area (cm2)
kt = drug release rate constant (1/min)
po = patch dosage (mg/cm2)
kp = drug decay constant (1/min)
b = body weight (lbs)
km = metabolism constant (1/min)
Solving this equation gives a concentration vs. time result that can be analyzed to determine if the patch provides the correct amount of drug over the release period.
An important result is the time-averaged-concentration of the drug over the release period. This is calculated by the following equation:
equation 2 Cd,ave= Integral(tinital,tfinal) Cd(dt)/tfinal-tinital
Here:
Cd,ave = time-averaged drug concentration (mg/lb)
tfinal = end of patch life
tinitial = time that patch is applied.
This integration must be done numerically, using the results calculated from the differential equation, equation 1 above.
Program Specifics:
Your objective is to determine the proper patch size (area) required for people of four different body weights. The proper patch size will be the one that delivers a time-averaged drug concentration that is closest to a target concentration of 2.1 mg/lb.
The parameters to be used for this calculation are:
ap = 10, 15, 20, 25 and 30 cm2
kt = 0.1 1/min
po = 21.0 mg/cm2
kp = 0.05 1/min
b = 120, 160, 200, and 240 lbs
km = 0.02 1/min
tfinal = 100 min
tinitial = 0 min
Write a MATLAB program that does the following:
a. Solves the differential equation (equation 1) from 0 to 100 min in step sizes of 1 minute for the twenty combinations of 5 patch sizes and 4 body weights. This must be done using ode45 and an external m-file function that you write. A common problem you will encounter is how to let the yprime function know what the values are for body weight and patch area. The best way to do this is by making the parameters used in equation 1 to be global variables.
b. For each of the twenty solutions, the main program determines, using numerical integration, the time-averaged concentration of the drug (Cd,ave).
c. The main m-file then compares these time-averaged concentrations, Cd,ave, with the target concentration of 2.1 mg/lb to determine which size patch (i.e. ap) is best suited for each body weight. The best patch size is the one that gives a Cd,ave, that is closest to the target. You may find it helpful to use the sort function to do this.
d. Prints the results of the computations to the screen as follows: The final results of the calculations are printed to the screen only. These will be the best patch size for each body weight, the Cd,ave that can be achieved with that patch size.
e. Makes a plot of Cd versus time (using a blue line) for the best patch size for the 160 pound person. Use good labels on the plot. Show the target value on the plot with a green line.
Reminder
You may not start working in this and any request before
your bid is accepted. Users who violate this policy
may have their accounts permanently suspended.
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Islamabad,
PK
location |
US$220
bid amount
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(9
reviews)
feedback |
6 day(s)
delivery time |

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((( EXPERT HERE ))) 10+ years experience ! More than 300 projects completed! References can be provided on request ! Ready to start working on your project !
Bid Time: 04-25-2011 14:14
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Moscow,
RU
location |
US$100
bid amount
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(36
reviews)
feedback |
2 day(s)
delivery time |

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Hello, I am good in MatLab and differential equation solutions. I can provide you good solution in acceptable time frame.
Bid Time: 04-25-2011 21:12
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CA,
US
location |
US$250
bid amount
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(15
reviews)
feedback |
7 day(s)
delivery time |

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I can do this project. Just trust me, I will deliver you the best.
Bid Time: 04-25-2011 12:13
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Columbus,
US
location |
US$199
bid amount
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(2
reviews)
feedback |
7 day(s)
delivery time |

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am 5th year PhD student in electrical engineering, so MATLAB is my main software. I can deliver the work even with a Graphic User Interface (a menu style)to be able to choose the parameters and see the results in that Graphic User Interface. Please, start a chat, to discuss more. Thanks,
Bid Time: 04-25-2011 16:41
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allahabad,
IN
location |
US$120
bid amount
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(2
reviews)
feedback |
4 day(s)
delivery time |

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Can do this job perfectly.Open chat session for further dicussion.
Bid Time: 04-27-2011 07:04
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Dhaka,
BD
location |
US$100
bid amount
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(1
reviews)
feedback |
5 day(s)
delivery time |

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I can offer the best service for this task along with keeping the quality and effectivity of this task and am able to deliver my service within 5 days. I am very much interested to discuss with u about the project criteria and additional requirement of this task at online conversation
Bid Time: 04-25-2011 13:38
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