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-`hc_steady_states` supports any systems where all rates are systems of rational polynomials (such as Hill functions with integer Hill coefficients).
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- When providing initial conditions to compute conservation laws, values are only required for those species that are part of conserved quantities. If this set of species is unknown, it is recommended to provide initial conditions for all species.
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- Additional arguments provided to `hc_steady_states` are automatically passed to HomotopyContinuation's `solve` command. Use e.g. `show_progress=false` to disable the progress bar.
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---
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## [Citation](@id homotopy_continuation_citation)
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If you use this functionality in your reasearch, please cite the following paper to support the authors of the HomotopyContinuation package:
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If you use this functionality in your research, please cite the following paper to support the authors of the HomotopyContinuation package:
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```
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@inproceedings{HomotopyContinuation.jl,
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title={{H}omotopy{C}ontinuation.jl: {A} {P}ackage for {H}omotopy {C}ontinuation in {J}ulia},
Copy file name to clipboardExpand all lines: ext/CatalystHomotopyContinuationExtension/homotopy_continuation_extension.jl
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@@ -9,8 +9,8 @@ Arguments:
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- `rs::ReactionSystem`: The reaction system for which we want to find the steady states.
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- `ps`: The parameter values for which we want to find the steady states.
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- `filter_negative=true`: If set to true, solutions with any species concentration <neg_thres is removed from the output.
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- `neg_thres=-1e-20`: Determine the minimum values for which a species concentration is to be considred non-negative. Species conentrations ``> neg_thres`` but `< 0.0` are set to `0.0`.
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- `u0=nothing`: Initial conditions for which we want to find the steady states. For systems with conservation laws this are required to compute conserved quantities.
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- `neg_thres=-1e-20`: Determine the minimum values for which a species concentration is to be considered non-negative. Species concentrations ``> neg_thres`` but `< 0.0` are set to `0.0`.
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- `u0=nothing`: Initial conditions for which we want to find the steady states. For systems with conservation laws this are required to compute conserved quantities. Initial conditions are not required for all species, only those involved in conserved quantities (if this set is unknown, it is recommended to provide initial conditions for all species).
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- `kwargs...`: any additional arguments (like `show_progress= true`) are passed into HomotopyContinuation.jl's `solve` call.
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Examples
@@ -41,10 +41,10 @@ function Catalyst.hc_steady_states(rs::ReactionSystem, ps; filter_negative=true,
returnsum(remove_denominators(arg) for arg inarguments(s_expr))
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end
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return s_expr
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end
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# HC orders the solution vector according to the lexiographic values of the variable names. This reorders the output acording to the species index in the reaction system species vector.
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# HC orders the solution vector according to the lexicographic values of the variable names. This reorders the output according to the species index in the reaction system species vector.
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