Linked Questions
31 questions linked to/from How to fit 3 data sets to a model of 4 differential equations?
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How do I fit NDSolve result to experimental data? [duplicate]
I have two coupled ordinary differential equations which I solve numerically in Mathematica, but now I want to fit the solution with experimental data.
I do following, (the experimental data ...
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How I can use FindFit to simultaneously fit two data sets to two equations having shared parameters? [duplicate]
I think that FindFit package with the method Nminimize yields global minimum if initial values of adjustable parameters are ...
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Performance in parameter estimation from ParametricNDSolve using varied initial conditions [duplicate]
I have 250 data points from a timecourse exeriment in a list, with columns specifying (1) time, (2-4) initial conditions, (5) absorbance reading. I want to fit 4 parameters (k1, k2, k3, k4) in a DAE ...
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Using FindFit to fit nonlinear ODE parameters, subject to a constraint (an inverse problem) [duplicate]
Similar to this post I am finding that constraints tend to make FindFit poor at finding a good fit. However, unlike the previous post, the constraints are required ...
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How to fit data with numerical solution of system of parametric ODE? [duplicate]
I need to find the parameters (k1,k2,k3,k4,k1r,k2r,k3r,k4r) that fit my data (list of [Intensity, time]) using the function <...
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Simultaneous fitting to multiple data sets with multiple variables and some common parameters [duplicate]
I am trying to fit two data sets to a function model described below which share a few common parameters. Say I have two functions with some common parameter(s)
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How to fit parameters in a system of coupled differential equations
Problem description: I'm studying a chemical reaction that can be modeled by a system of coupled differential equations, and I want to use measured data to determine the parameters that appear in the ...
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Can I use a differential equation as a model to make a fit to experimental data?
I've done an experiment where I swung a pendulum under air resistance. Is it possible to model the data using the following differential equation and find a b-value?
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ODE fitting to dataset
So, I have a ODE system, it is a complex biochemical kinetic mechanism with six species changing over time.
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Non Linear Model Fit - Fitting ODE to Data
Thank you everyone for your meaningful contributions!
My Goal and Problem
I'm trying to fit a particular ODE in a set of ODE's to experimental data. I've attempted to implement this by following the ...
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FindFit “is not a real number” error when fitting a parametric function to the data
I am using Mathematica's FindFit function to fit a parametric solution to my data and I am getting the error
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Multi-Fitting with Nonlinear model
I want to fit experimental data by the H-N model.
Here is the H-N model:
$$\text{EHN}(T)\text{=}\text{E$\infty $}+\frac{\text{E0}-\text{E$\infty $}}{\left(1+\left(i \omega\tau(T_g)10^{-\frac{\text{C1} ...
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Chemical Kinetics: fitting multiple sets of time series data using multiple differential reaction equations
Let me start by saying that this is my first post, so if there are suggestions on proper formatting that is annoying you, please let fly and I will do my best to modify.
I was doing well solving the ...
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FindFit for a differential equation model with multiple variables?
I'm trying to figure out how to use FindFit with a multivariable differential equation model and data. I've successfully made it work for the one-variable version ...
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How to Fit experimental data with 4D ParametricNDSolve?
Let me first explain the background problem. I'm trying to solve a problem with a projectile motion in 4D such that the position vector is:
$\boldsymbol{r}(t)=\boldsymbol{r}[x(t),y(t),z(t)]$
I have ...