Linear pathway modelling
Mapping observables and time-course data to models of linear pathways
Here, I will discuss the mapping between the parameters of simplified linear pathway models and the fully enumerated system and the data produced thereof. I will show how the parameters can be estimated analytically through measurements (or prior knowledge) of the mean and the variance of the time at which an output signal is observed. This is then compared to the slower, but more resilient, method of using numerical optimisation. Along the way, we will also gain insight into the reverse problem; given a model with fitted parameters, what can we say about the biological pathway that the model is representing?
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