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. 2020 Aug 10;10:13488. doi: 10.1038/s41598-020-69561-3

Table 3.

List of physical laws and constants used to estimate current or flux of ion X.

Parameter/constant Equation Number
E-field (e.g., 200 V/m for 25 W/kg) E[V/m]=45×(SAR[W/kg]/σ[S/m])1/2 (1)
Membrane capacitance CM[μF/cm2]=εrMε0/dM1forεrM=5,d=5nm (2)
Conductance GXS=1RXΩ=zX×FuX×cX×(a2/L) (3)
Voltage induced by E across membrane ΔUM V=10-8×E[V/m] (4)
Ohm’s law IX[AC/s]=ΔUm[V]×GX[S] (5)
For UM = 100 mV UM=100mVatCM=2μFcm2: 210-7Ccm2104ions/μm2 (6)
Drift velocity vX[μm/s]=E[V/cm]uX[10-4cm2/Vs] (7)
Elementary charge qe=1.60×10-19C (8)
Avogadro constant NA=6×1023molecules/mol (9)
Faraday constant F=NA×qe=9.65×104C/mol (10)
Dielectric field constant (free space) ε0=8.85×10-12C/V/m (11)

For the conductance GX of a channel, we inserted a mean edge length a = 1 nm and membrane thickness L = 5 nm. The conductivity in the intra-/extracellular water was σ = 1.2 S/m (Fig. 3). The charge number was zX = 1 or 2 (for Ca2+). For the mobility uX, see Table 2.