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Passage Cable Theory Is a Mathematical Model Used to Calculate Currents

Question 83

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Passage
Cable theory is a mathematical model used to calculate currents and voltages along and across axon membranes.  The model treats small sections of the membrane as the resistor-capacitor circuit shown in Figure 1.  An electric neuronal signal enters the circuit through the input node.  A portion of the signal remains inside the axon and continues to the next section of membrane via Output 1, and the rest of the signal exits to the extracellular fluid via Output 2.
Passage Cable theory is a mathematical model used to calculate currents and voltages along and across axon membranes.  The model treats small sections of the membrane as the resistor-capacitor circuit shown in Figure 1.  An electric neuronal signal enters the circuit through the input node.  A portion of the signal remains inside the axon and continues to the next section of membrane via Output 1, and the rest of the signal exits to the extracellular fluid via Output 2.    <strong>Figure 1</strong>  Circuit unit used to model axon membranesResearchers studied cable theory by recreating the circuit in Figure 1 using a 2 μF capacitor for C<sub>M</sub>, a 200 Ω resistor for R<sub>M</sub>, and a 1,000 Ω resistor for R<sub>L</sub>.  The researchers sent an electrical signal through the input and discovered that the capacitor acted as a resistor whose resistance varied with the signal's frequency, as shown in Figure 2.    <strong>Figure 2</strong>  Capacitor equivalent resistance vs. signal frequency for C<sub>M</sub> Adapted from Tuckwell H, Introduction to Theoretical Neurobiology 2006 SIAM. -A voltmeter is placed across R<sub>L</sub>.  If a charge of 0.1 C flows into the input node every 2 s, what will be the reading on the voltmeter? A) 0 V B) 50 V C) 100 V D) 200 V Figure 1  Circuit unit used to model axon membranesResearchers studied cable theory by recreating the circuit in Figure 1 using a 2 μF capacitor for CM, a 200 Ω resistor for RM, and a 1,000 Ω resistor for RL.  The researchers sent an electrical signal through the input and discovered that the capacitor acted as a resistor whose resistance varied with the signal's frequency, as shown in Figure 2.
Passage Cable theory is a mathematical model used to calculate currents and voltages along and across axon membranes.  The model treats small sections of the membrane as the resistor-capacitor circuit shown in Figure 1.  An electric neuronal signal enters the circuit through the input node.  A portion of the signal remains inside the axon and continues to the next section of membrane via Output 1, and the rest of the signal exits to the extracellular fluid via Output 2.    <strong>Figure 1</strong>  Circuit unit used to model axon membranesResearchers studied cable theory by recreating the circuit in Figure 1 using a 2 μF capacitor for C<sub>M</sub>, a 200 Ω resistor for R<sub>M</sub>, and a 1,000 Ω resistor for R<sub>L</sub>.  The researchers sent an electrical signal through the input and discovered that the capacitor acted as a resistor whose resistance varied with the signal's frequency, as shown in Figure 2.    <strong>Figure 2</strong>  Capacitor equivalent resistance vs. signal frequency for C<sub>M</sub> Adapted from Tuckwell H, Introduction to Theoretical Neurobiology 2006 SIAM. -A voltmeter is placed across R<sub>L</sub>.  If a charge of 0.1 C flows into the input node every 2 s, what will be the reading on the voltmeter? A) 0 V B) 50 V C) 100 V D) 200 V Figure 2  Capacitor equivalent resistance vs. signal frequency for CM
Adapted from Tuckwell H, Introduction to Theoretical Neurobiology 2006 SIAM.
-A voltmeter is placed across RL.  If a charge of 0.1 C flows into the input node every 2 s, what will be the reading on the voltmeter?


A) 0 V
B) 50 V
C) 100 V
D) 200 V

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