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 |