how to calculate biokinetic parameters?

Answer 1

[Davide Masiello]

You can use MatLab's fit function. Let me give you an example.

Let us assume you have the following set of 50 experimental values of S and mu

S = linspace(0,10000,50);
mu = 0.1160*S./(43.53+S+(S.^2/387))-0.5*rand(size(S))/500; % I have added random noise to the measured values

Now, you can create a fittype using, let's say, the Haldane model.

fitfunc = fittype(@(mumax,KS,KI,x) mumax*x./(KS+x+x.^2/KI));

The you give initial guesses for the three parameters.

x0 = [0.1 50 300];

And eventually use fit to optimize the parameters using the experimental data.

f = fit(S',mu',fitfunc,'StartPoint',x0);
coeffvals = coeffvalues(f)

coeffvals = 1×3

0.1280 67.0570 328.6587

plot(f,S,mu)

As you can see, the coefficient values are slightly different from those specified in your table due to my adding of a random noise to simulate experimental data.

You can use the same procedure with the other functions listed in your table.

[Pooja]

how to calculate ? (mu max, ks, kI)

s = [0, 100, 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000, 5500, 6000]

mu = [0.00, 0.191352, 0.182293, 0.177432, 0.171309, 0.160941, 0.147716, 0.143918, 0.140736, 0.139178, 0.137569, 0.133034, 0.131136, 0.112988]

[Davide Masiello]

The procedure is perfectly laid out in my answer. The array coeffvals contain the values of those coefficients. Just use your values of S and mu.

[Pooja]

okay

[Davide Masiello]

It is good practice to accept an answer if it was useful and/or solved your problem.

[Pooja]

It works.

Thank you so much.

[Pooja]

@Star Strider

thank you so much.

sir little problem arise with code, I am not familier with Matlab. I can't recognise the code issue.

Please sir Help me.

It's code Quarry

figure plot(s, mu, '.', 'DisplayName','Data')

Error using figure

Argument must be a Figure object or a positive integer.

hold on plot(sv, ypred, '-r', 'DisplayName','Regression')

Error using hold

First argument must be an axes object.