Question

Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 mu m and its length is 50mu m. The radius of dendrite B is 2mu m and its length is 200mu m. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75mV. R_(m)=1500Omega cm^(2) R_(i)=300Omega cm C_(m)=1mu (F)/(c)m^(2) A) Into dendrite A, you inject a hyperpolarizing current which hyperpolarizes the end of the dendrite by 30mV. Assuming that the dendrite can be modeled as an infinitely long cable, what is the voltage at the end of the dendrite where it meets the soma? For this problem, ignore the effect of the soma on the voltage. B) Similarly, you inject a depolarizing current into dendrite B which depolarizes the end of the dendrite by 50mV. Assuming that the dendrite can be modeled as an infinitely long cable, what is the voltage at the end of the dendrite where it meets the soma? For this problem, ignore the effect of the soma on the voltage. C) If the resistance between dendrite A and the soma is 90MOmega , what is the current that flows into the cell body from dendrite A ? D) If the resistance between dendrite B and the soma is 25MOmega , what is the current that flows into the cell body from dendrite B? E) If the threshold potential for the soma is -50mV and the two currents are applied to the dendrites for 5msec, will the cell fire an action potential? Assume that the cell is a perfect sphere with a radius of 20mu m and that the same parameters for the dendrite membrane above apply to the plasma membrane: F) If the depolarizing stimulus was applied to dendrite B, but no stimulus was applied to dendrite A, would the cell fire an action potential? Use the same parameters for the cell as in 4E. G) Assume that the cell from the previous question fired an action potential, and that it was traveling down a myelinated axon. As a result of your experimental preparation, you've damaged the axon and removed some of the myelin sheath. Given the following parameters for the axon, how long of a segment of the axon could be demyelinated before the axon membrane voltage drops below the threshold voltage? Assume that the ion channels are located at the ends of the unmyelinated region only and that the steady state solution of the cable equation applies. The peak voltage of the action potential is +30mV the threshold potential is -40mV, and the resting membrane potential is -75mV.Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 um and its length is 50 um. The radius of dendrite B is 2 um and its length is 200 um. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75mV. Rm= 1500 12 cm Ri = 300 cm Cm = 1uF/cm2 A) If the resistance between dendrite A and the soma is 50 Mohm, what is the current that flows into the cell body from dendrite A (include the sign)? Use the convention that current into the cell body is positive. Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 mu m and its length is 50 mu m. The radius of dendrite B is 2 mu m and its length is 200 mu m. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75 mV. If the resistance between dendrite A and the soma is 50 MOmega , what is the current that flows into the cell body from dendrite A (include the sign)? Use the convention that current into the cell body is positive. Assume you have a cell with two dendrites.In this case.the radius of dendrite A is l.5 m and its length is 50m.The radius of dendrite B is 2m and its length is 200 m. You have successfully attached a micropipette electrode to the very end of each of the dendrites.The resting membrane potential of the cell is -75mV. Rm=1500cm2 Ri=300cm Cm=1F/cm2 AInto dendrite A.you inject a hyperpolarizing current which hyperpolarizes the end of the dendrite by 30mV. Assuming that the dendrite can be modeled as an infinitely long cable,what is the voltage at the end of the dendrite where it meets the soma? For this problem,ignore the effect of the soma on the voltage BSimilarly,you inject a depolarizing current into dendrite B which depolarizes the end of the dendrite by 50mV. Assuming that the dendrite can be modeled as an infinitely long cable.what is the voltage at the end of the dendrite where it meets the soma? For this problem,ignore the effect of the soma on the voltage CIf the resistance between dendrite A and the soma is 90 M,what is the current that flows into the cell body from dendrite A? DIf the resistance between dendrite B and the soma is 25 M,what is the current that flows into the cell body from dendrite B? EIf the threshold potential for the soma is-50mV and the two currents are applied to the dendrites for 5msec,will the cell fire an action potential? Assume that the cell is a perfect sphere with a radius of 20 um and that the same parameters for the dendrite membrane above apply to the plasma membrane: F If the depolarizing stimulus was applied to dendrite B.but no stimulus was applied to dendrite A,would the cell fire an action potential? Use the same parameters for the cell as in 4E. G) Assume that the cell from the previous question fired an action potential, and that it was traveling down a myelinated axon. As a result of your experimental preparation,you've damaged the axon and removed some of the myelin sheath Given the following parameters for the axon,how long of a segment of the axon could be demyelinated before the axon membrane voltage drops below the threshold voltage? Assume that the ion channels are located at the ends of the unmyelinated region only and that the steady state solution of the cable equation applies. The peak voltage of the action potential is+30 mV the threshold potential is -40 mV, and the resting membrane potential is -75 mV.

          Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5
mu m and its length is 50mu m. The radius of dendrite B is 2mu m and its length is 200mu m.
You have successfully attached a micropipette electrode to the very end of each of the
dendrites. The resting membrane potential of the cell is -75mV.
R_(m)=1500Omega *cm^(2)
R_(i)=300Omega *cm
C_(m)=1mu (F)/(c)m^(2)
A) Into dendrite A, you inject a hyperpolarizing current which hyperpolarizes
the end of the dendrite by 30mV. Assuming that the dendrite can be modeled as
an infinitely long cable, what is the voltage at the end of the dendrite where it
meets the soma? For this problem, ignore the effect of the soma on the voltage.
B) Similarly, you inject a depolarizing current into dendrite B which depolarizes
the end of the dendrite by 50mV. Assuming that the dendrite can be modeled as
an infinitely long cable, what is the voltage at the end of the dendrite where it
meets the soma? For this problem, ignore the effect of the soma on the voltage.
C) If the resistance between dendrite A and the soma is 90MOmega , what is the
current that flows into the cell body from dendrite A ?
D) If the resistance between dendrite B and the soma is 25MOmega , what is the
current that flows into the cell body from dendrite B?
E) If the threshold potential for the soma is -50mV and the two currents are
applied to the dendrites for 5msec, will the cell fire an action potential? Assume
that the cell is a perfect sphere with a radius of 20mu m and that the same
parameters for the dendrite membrane above apply to the plasma membrane:
F) If the depolarizing stimulus was applied to dendrite B, but no stimulus was
applied to dendrite A, would the cell fire an action potential? Use the same
parameters for the cell as in 4E.
G) Assume that the cell from the previous question fired an action potential, and
that it was traveling down a myelinated axon. As a result of your experimental
preparation, you've damaged the axon and removed some of the myelin sheath.
Given the following parameters for the axon, how long of a segment of the axon
could be demyelinated before the axon membrane voltage drops below the
threshold voltage? Assume that the ion channels are located at the ends of the
unmyelinated region only and that the steady state solution of the cable equation
applies. The peak voltage of the action potential is +30mV the threshold
potential is -40mV, and the resting membrane potential is -75mV.Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 um and its length is 50 um. The radius of dendrite B is 2 um and its length is 200 um. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75mV. Rm= 1500 12 cm Ri = 300 cm Cm = 1uF/cm2 A) If the resistance between dendrite A and the soma is 50 Mohm, what is the current that flows into the cell body from dendrite A (include the sign)? Use the convention that current into the cell body is positive. Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 mu m and its length is 50 mu m. The radius of dendrite B is 2 mu m and its length is 200 mu m. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75 mV. If the resistance between dendrite A and the soma is 50 MOmega , what is the current that flows into the cell body from dendrite A (include the sign)? Use the convention that current into the cell body is positive.
Assume you have a cell with two dendrites.In this case.the radius of dendrite A is l.5 m and its length is 50m.The radius of dendrite B is 2m and its length is 200 m. You have successfully attached a micropipette electrode to the very end of each of the dendrites.The resting membrane potential of the cell is -75mV.
Rm=1500cm2 Ri=300cm Cm=1F/cm2
AInto dendrite A.you inject a hyperpolarizing current which hyperpolarizes the end of the dendrite by 30mV. Assuming that the dendrite can be modeled as an infinitely long cable,what is the voltage at the end of the dendrite where it meets the soma? For this problem,ignore the effect of the soma on the voltage
BSimilarly,you inject a depolarizing current into dendrite B which depolarizes the end of the dendrite by 50mV. Assuming that the dendrite can be modeled as an infinitely long cable.what is the voltage at the end of the dendrite where it meets the soma? For this problem,ignore the effect of the soma on the voltage
CIf the resistance between dendrite A and the soma is 90 M,what is the current that flows into the cell body from dendrite A?
DIf the resistance between dendrite B and the soma is 25 M,what is the current that flows into the cell body from dendrite B?
EIf the threshold potential for the soma is-50mV and the two currents are applied to the dendrites for 5msec,will the cell fire an action potential? Assume that the cell is a perfect sphere with a radius of 20 um and that the same parameters for the dendrite membrane above apply to the plasma membrane:
F If the depolarizing stimulus was applied to dendrite B.but no stimulus was applied to dendrite A,would the cell fire an action potential? Use the same parameters for the cell as in 4E.
G) Assume that the cell from the previous question fired an action potential, and that it was traveling down a myelinated axon. As a result of your experimental preparation,you've damaged the axon and removed some of the myelin sheath Given the following parameters for the axon,how long of a segment of the axon could be demyelinated before the axon membrane voltage drops below the threshold voltage? Assume that the ion channels are located at the ends of the unmyelinated region only and that the steady state solution of the cable equation applies. The peak voltage of the action potential is+30 mV the threshold potential is -40 mV, and the resting membrane potential is -75 mV.

assume you have a cell with two dendrites in this case the radius of dendrite a is 15 mu m and its length is 50mu m the radius of dendrite b is 2mu m and its length is 200mu m you have succe 19423

Added by Brian F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sufiyan Alam

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** The space constant λ is given by: \[ \lambda = \sqrt{\frac{R_m}{R_i} \cdot \frac{d}{4}} \] where \( R_m = 1500 \, \Omega \cdot \text{cm}^2 \), \( R_i = 300 \, \Omega \cdot \text{cm} \), and \( d \) is the diameter of the dendrite. For dendrite A: - Radius = Show more…

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Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 mu m and its length is 50mu m. The radius of dendrite B is 2mu m and its length is 200mu m. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75mV. R_(m)=1500Omega *cm^(2) R_(i)=300Omega *cm C_(m)=1mu (F)/(c)m^(2) A) Into dendrite A, you inject a hyperpolarizing current which hyperpolarizes the end of the dendrite by 30mV. Assuming that the dendrite can be modeled as an infinitely long cable, what is the voltage at the end of the dendrite where it meets the soma? For this problem, ignore the effect of the soma on the voltage. B) Similarly, you inject a depolarizing current into dendrite B which depolarizes the end of the dendrite by 50mV. Assuming that the dendrite can be modeled as an infinitely long cable, what is the voltage at the end of the dendrite where it meets the soma? For this problem, ignore the effect of the soma on the voltage. C) If the resistance between dendrite A and the soma is 90MOmega , what is the current that flows into the cell body from dendrite A ? D) If the resistance between dendrite B and the soma is 25MOmega , what is the current that flows into the cell body from dendrite B? E) If the threshold potential for the soma is -50mV and the two currents are applied to the dendrites for 5msec, will the cell fire an action potential? Assume that the cell is a perfect sphere with a radius of 20mu m and that the same parameters for the dendrite membrane above apply to the plasma membrane: F) If the depolarizing stimulus was applied to dendrite B, but no stimulus was applied to dendrite A, would the cell fire an action potential? Use the same parameters for the cell as in 4E. G) Assume that the cell from the previous question fired an action potential, and that it was traveling down a myelinated axon. As a result of your experimental preparation, you've damaged the axon and removed some of the myelin sheath. Given the following parameters for the axon, how long of a segment of the axon could be demyelinated before the axon membrane voltage drops below the threshold voltage? Assume that the ion channels are located at the ends of the unmyelinated region only and that the steady state solution of the cable equation applies. The peak voltage of the action potential is +30mV the threshold potential is -40mV, and the resting membrane potential is -75mV.Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 um and its length is 50 um. The radius of dendrite B is 2 um and its length is 200 um. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75mV. Rm= 1500 12 cm Ri = 300 cm Cm = 1uF/cm2 A) If the resistance between dendrite A and the soma is 50 Mohm, what is the current that flows into the cell body from dendrite A (include the sign)? Use the convention that current into the cell body is positive. Assume you have a cell with two dendrites. In this case, the radius of dendrite A is 1.5 mu m and its length is 50 mu m. The radius of dendrite B is 2 mu m and its length is 200 mu m. You have successfully attached a micropipette electrode to the very end of each of the dendrites. The resting membrane potential of the cell is -75 mV. If the resistance between dendrite A and the soma is 50 MOmega , what is the current that flows into the cell body from dendrite A (include the sign)? Use the convention that current into the cell body is positive. Assume you have a cell with two dendrites.In this case.the radius of dendrite A is l.5 m and its length is 50m.The radius of dendrite B is 2m and its length is 200 m. You have successfully attached a micropipette electrode to the very end of each of the dendrites.The resting membrane potential of the cell is -75mV. Rm=1500cm2 Ri=300cm Cm=1F/cm2 AInto dendrite A.you inject a hyperpolarizing current which hyperpolarizes the end of the dendrite by 30mV. Assuming that the dendrite can be modeled as an infinitely long cable,what is the voltage at the end of the dendrite where it meets the soma? For this problem,ignore the effect of the soma on the voltage BSimilarly,you inject a depolarizing current into dendrite B which depolarizes the end of the dendrite by 50mV. Assuming that the dendrite can be modeled as an infinitely long cable.what is the voltage at the end of the dendrite where it meets the soma? For this problem,ignore the effect of the soma on the voltage CIf the resistance between dendrite A and the soma is 90 M,what is the current that flows into the cell body from dendrite A? DIf the resistance between dendrite B and the soma is 25 M,what is the current that flows into the cell body from dendrite B? EIf the threshold potential for the soma is-50mV and the two currents are applied to the dendrites for 5msec,will the cell fire an action potential? Assume that the cell is a perfect sphere with a radius of 20 um and that the same parameters for the dendrite membrane above apply to the plasma membrane: F If the depolarizing stimulus was applied to dendrite B.but no stimulus was applied to dendrite A,would the cell fire an action potential? Use the same parameters for the cell as in 4E. G) Assume that the cell from the previous question fired an action potential, and that it was traveling down a myelinated axon. As a result of your experimental preparation,you've damaged the axon and removed some of the myelin sheath Given the following parameters for the axon,how long of a segment of the axon could be demyelinated before the axon membrane voltage drops below the threshold voltage? Assume that the ion channels are located at the ends of the unmyelinated region only and that the steady state solution of the cable equation applies. The peak voltage of the action potential is+30 mV the threshold potential is -40 mV, and the resting membrane potential is -75 mV.