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Oates et al. (2012) performed Bayesian model selection by comparing steady-state data with equilibrium solutions of automatically generated ODE models.
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We took into account that with h→0, where h is the grid width, the generated ODEs became increasingly stiff.
The network topology is used to generate ODEs that capture combinatorial control among transcription factor proteins.
We describe a regulatory network generator, RENCO, that models genes and proteins as separate entities, incorporates protein protein interations among the transcription factor proteins, and generates ODEs that explicitly capture the combinatorial control of transcription factors.
After selecting appropriate descriptions of reaction kinetics, we generated an ODE-based model and calibrated the model parameters to in vivo data.
Fig. 11 shows product formation time courses generated using ODEs using the rational polynomial model of Eq. (7) (solid curve) as well as DAEs using the TCC model of Eqs.
Each sample point in the phase space generates P ODEs, resulting in a system of coupled ODEs.
This approach avoids the use of elaborate numerical inversion techniques of Laplace transforms, uses a single computational environment for generating the ODEs and estimating the parameters and does not require an analytical solution of the model.
To validate the transformation we generate the ODEs by reading the net in Figure 2 as a continuous Petri net [10], [30].
The input file with which ALC generates the ODEs is provided as additional file [see Additional file 2].
RENCO works in two steps: (a) generate/read the network topology and (b) generate the ODEs specifying the transcription kinetics (see RENCO manual for details).
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