Ordinary differential equation model selection | A comparable ranking of all models was obtained utilizing the Akaike Information Criterion ( AIC ) (S6 Fig). |
Ordinary differential equation modeling | First, the Akaike Information Criterion ( AIC ) is defined as |
Ordinary differential equation modeling | In this work, we present all rankings with unprocessed -210g(L) values, AIC ranking and LRT for all model structures against the complete model. |
Ordinary differential equation modeling | While the AIC allows the creation of a complete ranking and therefore a comparison of different candidate models against each other, the LRT provides us with more detailed information regarding the pairwise comparison of a nested model against the null model. |
Supporting Information | ODE model selection according to the Akaike Information Criterion ( AIC ). |
Supporting Information | The Akaike Information Criterion ( AIC ) has been utilized to penalize the likelihood. |
Parameter estimation | To find the model version that would best approximate reality given the data and the number of parameters we employed the Akaike Information Criterion ( AIC ) to rank the models [46]. |
Parameter estimation | The AIC establishes a relationship between the maximum likelihood and the Kullback-Leibler information, which is a measure for the information lost when approximating reality with a model [62]. |
Parameter estimation | The AIC was computed as |
Results | To test which model is more suitable to describe the given data, we ranked them using the Akaike Information Criterion ( AIC ) [46]. |
Supporting Information | The values of the best fit and the average over 100 fits are given for the objective value (WRSS), the log-likelihood (ln(L( p ) )) and the Akaike Information Criterion ( AIC ), as defined in Materials and Methods. |