Hello everyone,

As a chemist, I can use some help related to curve fitting.

Brief description of the problem:

For the analysis of the kinetics of a particular chemical reaction I have obtained the curve as can be seen in the attachment. In this curvexrepresents time andyrepresents the decrease in concentration of a particular compound in solution.

Now fur a full analysis I need an expression which can describe this behaviour.

Normally, the behaviour in experiments like these can be described by a combination of exponential factors, for example:

"f(x) = A exp(x/t1) + B exp(x/t2) + C exp(x/t3) + ..." etc. which fit nicely to the curve.

In this case however the beginning of the curve behaves lineary and the end of the curve exponentially as if it is a combination of a pure 0th order decay and a 1st order decay.

Where do I begin to try to find an expression for a curve like this?

I am able to fit a curve using a standard polynomial expression "f(x) = A + A1*x + A2*x^{2}+ A3*x^{3}+ ..." but the 'oscillating' nature of the curve causes to many distortions when I eventually have to take

the derivative of it.

To summarize, is there a standard way where linear behaviour and exponential behaviour are combined in an expression which is able to describe the curvature in the attachment?

Greetings,

Tinus