Biophysics: Electrical Properties of Ion Channels in Giant Squid Axon, Assignments of Physics

Data and questions related to classic biophysical studies exploring the electrical properties of the giant squid axon. Topics include ohmic behavior, specific conductance, resistance, drift velocity, and the properties of sodium ion channels. Students can estimate key values and sketch graphs to deepen their understanding.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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Examples in Biophysics
1. Classic biophysical studies by Hodgkin and Huxley explored the electrical properties of
the giant squid (Loligo pealei) axon. In these studies, the current density (Jm) of K+
(potassium ions) vs potential difference (Vm) across the axon cell membrane was
measured, producing the following data points:
Vm
(mV)
Jm
(mA/cm2)
-50 0.00
-40 +0.15
-30 +0.30
-25 +0.70
-12 +1.30
-3 +1.85
+5 +2.30
+25 +3.55
+40 +4.50
a. Is the surface membrane of the squid axon Ohmic (in whole or in part)? Explain.
b. Estimate the slope of Jm vs V. This is the K+ conductance per unit area, called the
specific conductance.
c. Estimate the resistance per unit area (or the specific resistance).
d. Estimate the drift velocity at +25 mV. Assume the charge carrier density (n) is 6.0x1028
m-3 and charge carriers are monovalent cations (i.e. q = +e).
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Examples in Biophysics

  1. Classic biophysical studies by Hodgkin and Huxley explored the electrical properties of the giant squid ( Loligo pealei ) axon. In these studies, the current density (Jm) of K+ (potassium ions) vs potential difference (Vm) across the axon cell membrane was measured, producing the following data points: Vm (mV) Jm (mA/cm^2 ) -50 0. -40 +0. -30 +0. -25 +0. -12 +1. -3 +1. +5 +2. +25 +3. +40 +4. a. Is the surface membrane of the squid axon Ohmic (in whole or in part)? Explain. b. Estimate the slope of Jm vs V. This is the K+^ conductance per unit area, called the specific conductance. c. Estimate the resistance per unit area (or the specific resistance). d. Estimate the drift velocity at +25 mV. Assume the charge carrier density (n) is 6.0x10^28 m-3^ and charge carriers are monovalent cations (i.e. q = +e).
  1. A conducting protein present in the giant squid axon cell membrane, called a sodium (Na+) ion channel, allows the flow of ion currents across the surface membrane. The conductance of a single Na+^ channel is approximately 4.0 p-1. a. Estimate the resistance of a single Na+^ channel. b. Sketch the V vs i graph for the Na+^ channel. Note: the “reversal potential” (the voltage where the current is zero) in this experiment is +20 mV not 0 mV. c. Determine how much current should flow through this channel when the applied voltage across it is +40 mV. d. Estimate the cross sectional area (A) of the conducting pathway of a Na+^ channel, in both m^2 and Å^2. Assume that the length of the channel pathway is approximately the same as the thickness of the cell membrane (L), 4.0x10-9^ m, and the conductivity () is 0.11- 1 .m. e. Estimate the diameter of the pore region (conducting pathway) of this protein. Assume the conducting pathway of the ion channel is a cylinder.