Curve fitting

*To*: mathgroup at smc.vnet.net*Subject*: [mg2441] Curve fitting*From*: "eberhard d\|rr" <eduerr at bioc.unizh.ch>*Date*: Wed, 8 Nov 1995 23:43:49 -0500

07.11.1995 I have a data set origin from a biochemical experiment (80 data points as (x;y) values) and I want to fit this data to the following equation, including a constrain with a polynom of the order n. Equation 1 : Y = Max * Pmon ^ n * 1/Kh * 1/x with: Max = constant value with a known order of magnitude Kh = constant i want to get from the fit Pmon = Variable Value depending on x as described in Equation 2 ( polynom of the order n ) y = measured y-value of the dataset x = known x-value of the dataset Equation 2 : (Describes the behaviour of Pmon from Eq.1) n * Pmon ^ n + Kh*Pmon - Kh*x = 0 with: Kh = same constant as described in eq.1 n = order of the polynome i want to get from the fit (within 0 and 4; not an integer!!) x = known x-value of the dataset. As far as this is the first time i used mathematica and the manuals give only a few hints for curve fitting i simply tried to fit my dataset with the term fit (data, eq.1,eq.2, x) which produced a big amount of error messages. I would be thankful for some hints how to solve such problems. Are there packages for mathematica to simplify curve fitting problems?