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Answer :
Final answer:
The approximate value of the resting membrane potential (Vm) for Neuron X is approximately 47.55mV.
Explanation:
The resting membrane potential of a neuron is determined by the equilibrium potentials of the ions and their permeabilities. In this case, Neuron X has equilibrium potential values of ENA = 50mV, EK = -90mV, and ECl = -55mV.
Given that Neuron X has a GNa that is 100 times as large as either GK or GCl, it means that the permeability of the membrane to sodium ions (Na+) is much higher compared to potassium ions (K+) and chloride ions (Cl-).
The resting membrane potential (Vm) can be approximated using the Goldman-Hodgkin-Katz equation, which takes into account the equilibrium potentials and permeabilities of the ions:
Vm = (PNa * ENa + PK * EK + PCl * ECl) / (PNa + PK + PCl)
Since GNa is 100 times larger than GK or GCl, we can assume that the permeability of Na+ (PNa) is 100 times larger than PK or PCl. Therefore, the equation can be simplified to:
Vm = (100 * ENa + EK + ECl) / (100 + 1 + 1)
Substituting the given values, we get:
Vm = (100 * 50mV + (-90mV) + (-55mV)) / (100 + 1 + 1)
Vm = (5000mV - 90mV - 55mV) / 102
Vm = 4855mV / 102
Vm ≈ 47.55mV
Therefore, the approximate value of the resting membrane potential (Vm) for Neuron X is approximately 47.55mV.
Learn more about resting membrane potential here:
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Final answer:
The approximate value of the resting membrane potential (Vm) for Neuron X is approximately 47.55mV.
Explanation:
The resting membrane potential of a neuron is determined by the equilibrium potentials of the ions and their permeabilities. In this case, Neuron X has equilibrium potential values of ENA = 50mV, EK = -90mV, and ECl = -55mV.
Given that Neuron X has a GNa that is 100 times as large as either GK or GCl, it means that the permeability of the membrane to sodium ions (Na+) is much higher compared to potassium ions (K+) and chloride ions (Cl-).
The resting membrane potential (Vm) can be approximated using the Goldman-Hodgkin-Katz equation, which takes into account the equilibrium potentials and permeabilities of the ions:
Vm = (PNa * ENa + PK * EK + PCl * ECl) / (PNa + PK + PCl)
Since GNa is 100 times larger than GK or GCl, we can assume that the permeability of Na+ (PNa) is 100 times larger than PK or PCl. Therefore, the equation can be simplified to:
Vm = (100 * ENa + EK + ECl) / (100 + 1 + 1)
Substituting the given values, we get:
Vm = (100 * 50mV + (-90mV) + (-55mV)) / (100 + 1 + 1)
Vm = (5000mV - 90mV - 55mV) / 102
Vm = 4855mV / 102
Vm ≈ 47.55mV
Therefore, the approximate value of the resting membrane potential (Vm) for Neuron X is approximately 47.55mV.
Learn more about resting membrane potential here:
https://brainly.com/question/33730682
#SPJ14
