For this purpose, we use a numerical simulation approach with three-dimensional visualisation of the quasi-potential landscape associated with the phase portrait of our toggle switch model (see the Model and methods Section, for details).
For example, analytical solutions to the simple toggle switch model is known only when the model parameters follows the restrictions of small noise and fast transition [ 8, 18].
Applications to Gene Regulatory Networks such as the toggle switch model and the Lactose Operon Model in Escherichia coli are presented as numerical examples.
The toggle switch model used in this study and all possible chemical reactions in the model are extracted directly from the master equations in [ 18].
One example for such a process is the genetic toggle switch model that typically leads to multi-stable solutions [ 25].
To explore the role of TAAR1 in mediating the effects of 1, we rationally designed and synthesized rat TAAR1 superagonists and lead antagonists using the rotamer toggle switch model of aminergic GPCR activation.
The toggle switch model (1) exhibits different dynamical regimes depending on the values of its parameters.
The toggle switch model has two other dynamical regimes: monostable and tristable.
We identified two main ways by which capture events are brought about in the non-autonomous toggle switch model.
As a proof of concept we apply our method to estimate the kinetic parameters of a genetic toggle switch model.
