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Published 20 hours ago • verified publisher icon SciML

Moment Equations

Open ChrisRackauckas opened this issue 7 years ago • 4 comments

It would be nice to automatically be able to get out the moment equations according to some moment-closure scheme.

https://ifisc.uib-csic.es/users/raul/CURSOS/SP/Introduction_to_master_equations.pdf http://web.mit.edu/biophysics/sbio/PDFs/stochastics.pdf https://www-liphy.ujf-grenoble.fr/pagesperso/bahram/Master_Eq/master.pdf https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3176737/pdf/nihms252393.pdf https://www.omicsonline.org/open-access/chemical-master-equation-empirical-moment-closure-2329-6577-1000155.pdf http://www.pnas.org/content/110/35/14261 https://www.sciencedirect.com/science/article/pii/S0096300306000117 https://arxiv.org/pdf/1608.06582.pdf

ChrisRackauckas avatar Feb 18 '18 15:02 ChrisRackauckas

Special methods for first-order reactions: https://www.sciencedirect.com/science/article/pii/S0092824004001247

ChrisRackauckas avatar Feb 18 '18 16:02 ChrisRackauckas

Can this be considered solved by https://github.com/augustinas1/MomentClosure.jl?

Possibly we could add a tutorial in Catalyst as well.

TorkelE avatar Jan 19 '23 19:01 TorkelE

I'm not sure MomentClosure.jl covers the full complement of methods we'd want, but it is probably the right place for adding new methods (though it would be good if it got put under SciML or some other organization to try to ensure it is maintained longer-term).

isaacsas avatar Jan 19 '23 20:01 isaacsas

Got it, sounds good. We can keep this open until we've figured it out.

TorkelE avatar Jan 19 '23 22:01 TorkelE