Skip to content

Commit f086b48

Browse files
TorkelEisaacsas
andcommitted
Update docs/src/catalyst_applications/bifurcation_diagrams.md
Co-authored-by: Sam Isaacson <[email protected]>
1 parent 618685e commit f086b48

File tree

1 file changed

+1
-1
lines changed

1 file changed

+1
-1
lines changed

docs/src/catalyst_applications/bifurcation_diagrams.md

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -86,7 +86,7 @@ Here, in the bistable region, we only see a single branch. The reason is that th
8686

8787

8888
## Systems with conservation laws
89-
Some systems are under-determined, and for a given parameter set they have an infinite number of possible steady states, preventing bifurcation diagrams from being computed. Similar to when we [compute single steady states](@ref homotopy_continuation_conservation_laws), we can utilise Catalyst's ability to detect and eliminate conservation laws to resolve this issue. This requires us to provide information of the species concentrations at which we wish to compute the bifurcation diagram. These are provided to the `BifurcationProblem` using the `u0` argument.
89+
Some systems are under-determined determined at steady-state, so that for a given parameter set they have an infinite number of possible steady state solutions, preventing bifurcation diagrams from being computed. Similar to when we [compute steady states for fixed parameter values](@ref homotopy_continuation_conservation_laws), we can utilise Catalyst's ability to detect and eliminate conservation laws to resolve this issue. This requires us to provide information of the species concentrations at which we wish to compute the bifurcation diagram (to determine the values of conserved quantities). These are provided to the `BifurcationProblem` using the `u0` argument.
9090

9191
To illustrate this, we will create a simple model of a kinase that is produced and degraded (at rates *p* and *d*). The kinase facilitates the phosphorylation of a protein (*X*), which is dephosphorylated at a constant rate. For this system, we will compute a bifurcation diagram, showing how the concentration of the phosphorylated protein (*Xp*) depends on the degradation rate of the kinase (*d*). We will set the total amount of protein (*X+Xp*) to *1.0*.
9292
```@example ex2

0 commit comments

Comments
 (0)