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Table 1 Glossary

From: Mechanisms of astrocytic K+ clearance and swelling under high extracellular K+ concentrations

Symbol

Definition

Unit

[Na+]in

Intracellular Na+ concentration

mM

[K+]in

Intracellular K+ concentration

mM

[Cl−]in

Intracellular Cl− concentration

mM

[Na+]out,syn

Extracellular Na+ concentration in the synaptic cleft

mM

[K+]out,syn

Extracellular K+ concentration in the synaptic cleft

mM

[Cl−]out,syn

Extracellular Cl− concentration in the synaptic cleft

mM

[Na+]out,main

Extracellular Na+ concentration outside of the main part

mM

[K+]out,main

Extracellular K+ concentration outside of the main part

mM

[Cl−]out,main

Extracellular Cl− concentration outside of the main part

mM

[Na+]out,peri

Extracellular Na+ concentration in the perivascular space

mM

[K+]out,peri

Extracellular K+ concentration in the perivascular space

mM

[Cl−]out,peri

Extracellular Cl− concentration in the perivascular space

mM

[Total]in

Total concentration of [Na+]in [K+]in and [Cl−]in

mM

[Total]out,syn

Total concentration of [Na+]out,syn [K+]out,syn and [Cl−]out,syn

mM

[Total]out,main

Total concentration of [Na+]out,main [K+]out,main and [Cl−]out,main

mM

[Total]out,peri

Total concentration of [Na+]out,peri [K+]out,peri and [Cl−]out,peri

mM

I Na

Na+ current

pA

I K

K+ current

pA

I Cl

Cl− current

pA

V m

Membrane potential

mV

C m

Membrane capacitance

pF

A syn

Area of the astrocytic membrane around the synaptic cleft

μm2

A main

Area of the astrocytic membrane of the main part

μm2

A peri

Area of the astrocytic membrane around the perivascular space

μm2

Vol

Total volume in the astrocyte model

μm3

Volorg

Initial Vol

μm3

R

Gas constant

J/(K mol)

T

Temperature

K

F

Faraday constant

C/mol

I NaK

Total current flowing through the Na,K-ATPase

pA

\(\overline{{I_{\text{NaK}} }}\)

Maximum current factor flowing through the Na,K-ATPase

pA/μm2

I Na,NaK I Na

flowing through the Na,K-ATPase

pA

I K,NaK I K

flowing through the Na,K-ATPase

pA

f NaK

Voltage-dependent parameter for the INaKATP

1

σ

[Na+]o-dependent factor for INaKATP

1

I Na,NKCC

I Na through the NKCC

pA

I K,NKCC

I K through the NKCC

pA

I Cl,NKCC

I Cl through the NKCC

pA

I NKCC

Total current through the NKCC

pA

\(\overline{{I_{\text{NKCC}} }}\)

Factor defining the maximum ionic flux through the NKCC

pA ms/μm2

y

Probability of the five E 1 states

1

α NKCC

Rate constant for y

1/ms

β NKCC

Rate constant for y

1/ms

kf Full

Forward rate constant for the ion-filled cotransporter

1/ms

kb Full

Backward rate constants for the ion-filled cotransporter

1/ms

kf Empty

Forward rate constant for the empty form

1/ms

kb Empty

Backward rate constant for the empty form

1/ms

p(E 1NaClKCl)

Probabilities of E 1NaClKCl within the total five states of E 1

1

p(E 1)

Probabilities of E 1 within the total five states of E 1

1

p(E 2NaClKCl)

Probabilities of E 2NaClKCl within the total five states of E 2

1

p(E 2)

Probabilities of E 2 within the total five states of E 2

1

K Na

Binding constant for Na+ in the NKCC

1/mM

K K

Binding constant for K+ in the NKCC

1/mM

K Cl

Binding constant for Cl− in the NKCC

1/mM

I KCC

Total current through the KCC

pA

\(\overline{{I_{\text{KCC}} }}\)

Factor defining ion flux through the KCC

pA/μm2

I K,KCC

I K through the KCC

pA

I Cl,KCC

I Cl through the KCC

pA

I KIR

I K through the KIR channel

pA

I KIR,syn

I KIR through the astrocytic membrane around synaptic cleft

pA

I KIR,main

I KIR through the astrocytic membrane around the main part

pA

I KIR,peri

I KIR through the astrocytic membrane in the perivascular space

pA

\(\overline{{g_{\text{KIR,syn}} }}\)

Maximum conductance for I KIR,syn

pA/M1/2 μm2 mV

\(\overline{{g_{\text{KIR,main}} }}\)

Maximum conductance for I KIR,main

pA/M1/2 μm2 mV

\(\overline{{g_{\text{KIR,peri}} }}\)

Maximum conductance for I KIR,peri

pA/M1/2 μm2 mV

E K,syn

Equivalent potential for K+ in the astrocytic membrane around the synaptic cleft

mV

E K,main

Equivalent potential for K+ in the astrocytic membrane around the main part

mV

E K,peri

Equivalent potential for K+ in the astrocytic membrane in the perivascular space

mV

I Cl,passive

Passive Cl− current

pA

\(\mathop {\overline{{g_{\text{Cl,passive}} }} }\limits^{{}}\)

Maximum conductance for I Cl,passive

pA/μm2 mV

E Cl,main

Equivalent potential for Cl−in the astrocytic membrane around the main part

mV

J water

Water flux

μm3/s

F tension

Equivalent concentration of force for restoring the cell to its original volume

mM

\(\mathop {\overline{{g_{\text{water,syn}} }} }\limits^{{}}\)

Maximum hydraulic conductance in the astrocytic membrane around the synaptic cleft

μm mol/s mM J

\(\overline{{g_{\text{water,main}} }}\)

Maximum hydraulic conductance in the astrocytic membrane around the main par

μm mol/s mM J

\(\overline{{\mathop {g_{\text{water,peri}} }\limits^{{}} }}\)

Maximum hydraulic conductance in the astrocytic membrane in the perivascular space

μm mol/s mM J

\(\overline{K_{\text{tension}}}\)

Factor defining the force for restoring the cell to its original volume

mM/μm3