Ions crossing biological membranes are described as a concentration of
charge flowing through a selective open channel of one conformation a
nd analyzed by a combination of Poisson and Nernst-Planck equations an
d boundary conditions, called the PNP theory for short. The ion fluxes
in this theory interact much as ion fluxes interact in biological cha
nnels and mediated transporters, provided the theoretical channel cont
ains permanent charge and has selectivity created by (electrochemical)
resistance at its ends. Interaction occurs because the flux of differ
ent ionic species depends on the same electric field. That electric fi
eld is a variable, changing with experimental conditions because the s
creening (i.e., shielding) of the permanent charge within the channel
changes with experimental conditions. For example, the screening of ch
arge and the shape of the electric field depend on the concentration o
f all ionic species on both sides of the channel. As experimental inte
rventions vary the screening, the electric field varies, and thus the
flux of each ionic species varies conjointly, and is, in that sense, c
oupled. Interdependence and interaction are the rule, independence is
the exception, in this channel.