msmtools.flux.to_netflux¶

msmtools.flux.to_netflux(flux)

Compute the netflux from the gross flux.

Parameters: flux ((M, M) ndarray) – Matrix of flux values between pairs of states. netflux – Matrix of netflux values between pairs of states. (M, M) ndarray

Notes

The netflux or effective current is defined as

$f_{ij}^{+}=\max \{ f_{ij}-f_{ji}, 0 \}$

$$f_{ij}$$ is the flux for the transition from $$A$$ to $$B$$.

References

 [1] P. Metzner, C. Schuette and E. Vanden-Eijnden. Transition Path Theory for Markov Jump Processes. Multiscale Model Simul 7: 1192-1219 (2009)