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 Parameter Fitting for Models Involving ODE’s		  New Topic  Reply to Topic
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abufaisal6565

United Arab Emirates
9 Posts
Posted - 10/29/2021 :  11:34:24 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
How do we estimate the optimal parameter values of a set (4 ODE's) relating to each other using the least square method or any other to best fit observed data with simulated ones?
Regards

YimingChen

1609 Posts
Posted - 10/29/2021 :  11:42:05 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Can you try this app?
https://www.originlab.com/fileExchange/details.aspx?fid=500

James
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abufaisal6565

United Arab Emirates
9 Posts
Posted - 10/29/2021 :  12:02:02 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
I have visited this link and checked the app. but does it work for many ODE's such as the link below
https://www.r-bloggers.com/2013/06/learning-r-parameter-fitting-for-models-involving-differential-equations/
Regards
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YimingChen

1609 Posts
Posted - 10/29/2021 :  1:55:06 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Yes, you can set a set of ODE equations. See below:



James
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abufaisal6565

United Arab Emirates
9 Posts
Posted - 10/30/2021 :  9:42:31 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
I did but the parameters are shown wrong as well they are k1,k2,k3,k4
I couldn't modify them
I did the first ODE corrected as (1/270) with the same error message
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abufaisal6565

United Arab Emirates
9 Posts
Posted - 10/30/2021 :  10:01:18 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Greetings..
my system is differentiating with respect to time, not X maybe this is the issue?
Kindly help, it is even not considering the write parameters names to be estimated (k1,k2,k3,k4)
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abufaisal6565

United Arab Emirates
9 Posts
Posted - 10/31/2021 :  10:17:59 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Any feedback? is it possible to do so in originlab?
Regards
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YimingChen

1609 Posts
Posted - 11/01/2021 :  09:18:55 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
You didn't set the inputs for the dependent variables y2-y5.

James
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YimingChen

1609 Posts
Posted - 11/01/2021 :  09:49:45 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
You need to fix some of the bad minus signs in the equations. e.g. dy4/dx = k4*y3 - k3*y4.

James
Edited by - YimingChen on 11/01/2021 09:50:02 AM
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abufaisal6565

United Arab Emirates
9 Posts
Posted - 11/05/2021 :  4:59:51 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Thanks I did. Should I use the graph based on a daily number of data or accumulated ones? Since we are using data fitting for ODE system?
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