How to translate compartmentalized liver to analog computer? I Just want to learn to translate the f

shivajikobardan

Oct 21, 2021
39
Highly reputed source(International)-:

The compartmental analysis figure is the diagram that I want to translate to differential equations and eventually analog computer.

This is from

This book. IDK about the author, but I bet that this is extremely reliable compared to the materials locally available and written by local authors. But it doesn't tell which equation it is modeling, so I am not 100% sure about it.

It has problems as well-:

It doesn't use negative for K12 And idk why is it using negative for K23.

Less reputed source-:

This is pretty ambiguous, their equation and figure don't even match.

Highly reputed source(LOCAL)-:

If this source is correct, I don't understand how is it correct?

My thoughts about sign what they should be-:
If the arrows are coming towards the block in consideration, add + sign else add - sign.

For eg-: consider x1 block, then we find x1', for that + will be what comes inside i.e K21*x2, and - will be what goes outside ie.K12*x1.

My Teacher(He hasn't written any pdfs)-:

He says "some books have written plus(in K21) while some minus I am not sure what it is actually." He is not the one who will check my final exam paper. We don't know who will check it or who checked it.

shivajikobardan

Oct 21, 2021
39
How to translate compartmentalized liver to analog computer? I Just want to learn to translate the figure to equations.
This is the title.

shivajikobardan

Oct 21, 2021
39

this is the notation btw.

Jul 15, 2016
540

Nanren888

Nov 8, 2015
622
This is pretty ambiguous, their equation and figure don't even match.
Seems to match.
Did I miss something?

dx_2/dt = term in x_1 + term in x_2 + another term in x_2
Why two terms in x_2 ? - I guess they must represent competing processes or something
dx_2/dt = k12 * x_1 + -k21 * x_2 + k23 * x_2
Seems to match.the equation to the figure.

What is the question?

I'm not sure that a lot of people use analogue computers any more.
The book is from 1979.
Might just use a simulator now.

Nanren888

Nov 8, 2015
622
I saw someone copied this question and asked in stackexchange.
Maybe someone else with the same homework. Should they have asked you?
Did they state the question more clearly?

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