How to consider steady state concentration of biomarker in Simbiology
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I'm trying to develop the QSP model for endogenous biomarker dynamics in the body with simbiology app (R2021). This biomarker remains to be 5 mM in the tissue under untreatment condition, whereas the concentration is gradually increased up to 10 mM and deacreased to 5mM by administrating the some precursor molecules. I would like to fit the parameter for the production and metabolism of this biomarker. How can I set the steady state concentation (in this case; 5mM) in simbiology app?
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Arthur Goldsipe
2021-12-16
The SimBiology app does not currently provide any direct way to automatically fit steady state data. However, if I'm correctly understanding what you want to do, then I think it may not be a well-posed fitting problem. It sounds like you are trying to estimate 2 parameters (one for production and another for metabolism) using a single measurement (steady state concentration). If that's an accurate description, you have too many degrees of freedom, and there could be many combinations of parameter values that would result in the desired steady state concentration.
That said, the SimBiology app does have a feature to calculate steady states of a model. Steady state is a step that you can add to a simulation program. And there's an Explorer that makes it easy to interactively change parameter values and see how these changes affect your results.
If it would be helpful, I can attach a sample project that illustrates this. If you want that, let me know what version of MATLAB you are using. (If I use a project from a newer version, you might not be able to open it.)
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和孝 関口
2021-12-17
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Arthur Goldsipe
2021-12-20
I'm afraid I can't help with general modeling questions. I can provide support with how to implement a specific kind of model or anlaysis using MATLAB and SimBiology. If you can figure out how you want to model your steady state constraints, then I can tell you about the options for implementing that.
If your model is simple enough, you may be able to analytically calculate the steady state of the model as a function of kinetic parameters and initial conditions. Then, you could replace one of the parameters with an equation in terms of this steady state. That kind of algebra would need to be done outside SimBiology. I can then tell you how I'd implement those equations in SimBiology.
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