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. Author manuscript; available in PMC: 2009 Sep 21.
Published in final edited form as: Math Methods Appl Sci. 2008;31(15):1860–1873. doi: 10.1002/mma.1007
L length of cilium. 40μm≤L≤50μm
rc ciliary radius. 0.15μm
Ri ciliary intracellular resistivity. 9.2×105 μm/S
ra ciliary intracellular resistance. ra=Ri/πrc2=1.5×102/nSμm
gCNG single CNG channel conductance. 5.0×10−4 nS/ch
gCl single Cl(Ca) channel conductance. 8.0×10−4 nS/ch
K1/2 half maximum concentration of Ca2+ to activate Cl(Ca) channels. 4.8μM
Pmax maximum open probability of CNG channels. 0.7 no units
DCa Ca2+diffusion coefficient. 300 (μm)2/s [1]
DB BAPTA diffusion coefficient. 95 (μm)2/s [8]
D approximated diffusion coefficient. 100 (μm)2/s
k+ forward reaction rate constant. 600/μMs [8]
k backward reaction rate constant. 100s−1 [8]
BT total concentration of BAPTA (complex plus free). 2000μM
q converting factor of transmembrane current. q=(2πFrc2)1=8.45×104μMμm/pAs [9]
α conversion factor for binding. 2.7×10−2 μMμm/molecule
BS number of binding sites. 1 molecule/ch
fCNG fraction of the CNG current carried by Ca2+. 0.4 no units [10]
fX computational parameter. 0.97 no units
gX single Na+/Ca2+ exchanger conductance. gX = fX fCNGgCNG Pmax = 1.3×10−4 nS/ch
K reaction dissociation constant. K=k/k+=16μM
TCNG total number of CNG channels. Units ch
TCl total number of Cl(Ca) channels. Units ch
TX total number of Na+/Ca2+ exchangers. Units ch
cBulk free calcium concentration at the exposed end of the cilium. cBulk = 300μM for the diffusion experiment and for the interaction experiment cBulk = 0μM
vBulk voltage clamp. vBulk = −50mV for the diffusion experiment and for the interaction experiment vBulk = −40, −60 and −80mV