BIOB34 Module 7 Part 1
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Definitions of current (I) and electrical synapse
Current is the flow of charge, such as movement of electrons or other ions
Electrical synapse refers to gap junctions in cardiomyocytes
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Definitions of voltage (V) and resistance (R)
Voltage describes the electrical driving force or potential difference between two points
Resistance is the opposition to the passage of current
Ohm's Law states that current (I) is equal to voltage (V) divided by resistance (R)
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Difference between AC and DC currents
AA batteries provide DC voltage of approximately 1.5 V
Electrical outlets in North America provide AC voltage of 115/120 V with a frequency of 60 Hz
In an electric circuit, electrons flow from the negative terminal to the positive terminal, but the positive current moves in the opposite direction
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DC currents in biological phenomena
Some biological phenomena, like blood pressure, behave like DC currents (flow of fluid, not charge)
DC currents flow in one direction only and do not cross 0 V
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AC currents in biological signals
Some biological signals, like action potentials, are AC currents
There can be a net positive current into or out of a cell
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Hertz (Hz) as a unit of frequency
Hertz measures the number of complete cycles per second
North American electricity has a frequency of 60 Hz, meaning it passes 0 V 120 times per second
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Fluorescent lighting and AC power
Any strong voltage causes a fluorescent tube to emit light, regardless of polarity
Fluorescent lighting dims when the voltage equals 0, which happens 120 times per second with 60 Hz AC power
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Flow of ions and ionic current
Ions have both physical mass/volume and charge
Their movement and distribution are influenced by both chemical and electrical forces
Gradients in concentration and charge can be in the same or opposite directions
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Equilibrium potentials for K+ and Cl-
Initially, there is no electrical gradient, but there is a concentration gradient
More K+ and Cl- ions are present in one side compared to the other
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Movement of K+ down its concentration gradient
When the membrane becomes permeable to K+ only, K+ moves down its concentration gradient
At this point, no charge gradient has been built up
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Development of net charge difference
As K+ moves, a net charge difference develops, making one side more positive than the other
The driving force of the electrical gradient becomes equal to the driving force of the concentration gradient
The total movement of K+ is minimal, and the membrane acts as a capacitor
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Convention of outside of the cell being 0
By convention, the outside of the cell is considered to have a potential of 0
Membrane potential readings are relative to the outside
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Movement of Na+ down its concentration gradient
When the membrane becomes permeable to Na+ only, Na+ moves down its concentration gradient
At equilibrium, the membrane potential reading is +58 mV
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Work required to move chemical species and charged particles
The work required to move a chemical species is determined by the natural logarithm of the concentration ratio
The work required to move a charged particle across an electrical gradient is determined by the product of the number of charges per particle, Faraday's constant, and the potential gradient
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Application of the Nernst equation
The Nernst equation calculates the equilibrium potential for a specific ion
The equilibrium potential for K+ is -58 mV, as predicted by the equation
At equilibrium, there is no net flux because the electrical work cancels out the chemical work
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Frog Muscle Cell Resting membrane potential (Vm) measured Vm = -92 mV
[A-] = proteins, DNA, RNA, macromolecules (essentially fixed inside the cell)
[Ca2+] = free intracellular Ca2+ only
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Membrane potential can be experimentally or estimated using the Goldman equation
Concentrations and relative permeabilities of ions are involved in establishing the membrane potential
Na+, K+, and Cl- are the biggest players in establishing the membrane potential
In frog muscle: PK is 100 times greater than PNa, PCl is extremely small (membrane almost impermeable to Cl-)
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Na+ and K+ are the most important players when the membrane is at rest
The membrane potential (Vm) of a frog muscle cell is -92 mV
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Examples of ion channels found in axons and their characteristics
Leak channel (open IK (leak)) produces relatively high PK of resting cell
Voltage-gated Na+ channel produces the rising phase of depolarization
Voltage-gated Ca2+ channel produces slow depolarization and allows Ca2+ to enter the cell
Voltage-gated K+ channel carries current that rapidly repolarizes the membrane
Ca2+-dependent K+ channel carries current that repolarizes the cell following elevated cytoplasmic [Ca2+]
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When a positive stimulus current is applied to an excitable cell, the membrane potential changes
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Hyperpolarization (inward current) causes the membrane potential to become more negative
Depolarization (inward current) causes the membrane potential to become closer to 0
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If threshold isn't reached, no action potential (AP) will fire
All-or-none phenomenon: once threshold is reached, the intensity of the stimulus is no longer directly related to the intensity of the AP
Local response occurs when the stimulus is just shy of the threshold
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Compound Action Potential is the sum of individual APs
Stronger stimulus leads to more axons firing and a larger compound AP
Minimum stimulus intensity is the intensity necessary to trigger at least one or a few axons to fire an AP
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The Hodgkin Cycle is one of the few positive feedback cycles that occur in biological systems
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Action potentials (APs) are the result of voltage-gated ion channel activity
Na+/K+ ATPase pump is not directly responsible for repolarization after an individual AP
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Equilibrium Potential is the membrane potential at which there is no net movement of a specific ion across the membrane
Thinking about the electrochemical gradient for Na
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Thinking about the electrochemical gradient for K
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Na+/K+ pump does NOT directly cause repolarization
Na+/K+ ATPase pump helps to maintain ion concentrations
Contributes to Vm being negative
Activated by increased [Na+]in and [K+]out due to action potentials (APs)
Takes many APs before pump activity increase is noticeable
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Refractory period
Absolute: AP cannot be triggered regardless of stimulus intensity
Relative: Excitability is reduced, threshold is higher, resulting AP is weaker
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Depolarization from stimulus affects AP threshold
Slow depolarization leads to higher threshold or no AP
Synchronization of opening of voltage-gated ion channels is important for understanding refractory periods and stimulation thresholds
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Rapid closing of voltage-gated Na+ channel makes individual channel refractory
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Variation in opening/inactivation timing among population of voltage-gated ion channels
Absolute refractory period: Too many inactivated Na+ channels for successful AP
Relative refractory period: Only some Na+ channels ready, higher threshold, less intense AP
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Crab merus nerve: The Refractory Period
Stimulating electrodes
Recording electrodes
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Compound Action Potentials
Absolute refractory period: Membranes of all axons at stim. electrodes are refractory, no compound AP
Relative refractory period: Membranes of some axons at/near stim. electrodes are refractory, smaller compound AP
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Ion channel refractory behavior makes AP propagation unidirectional from site of initiation
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Current movement along an axon: length constant
Detection of Vm disturbance decreases exponentially away from site of stimulus
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Length constant (λ): Distance over which Vm decays by 63%
To increase conduction velocity:
Decrease magnitude of denominator (r)
Increase numerator (rm - insulate segments of axon with myelin sheaths)
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Invertebrate solution for faster AP conduction: larger axons
Earthworm nerve cord has many axons, 5 giant axons conduct APs the fastest
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Invertebrate solution for faster AP conduction: larger axons
Squid can grow quite large, rapid conduction of AP along motoneuron axon is required for jet propulsion
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Increased rm: myelination
Oligodendrocyte (CNS only)
Schwann cell (PNS only)
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Myelin sheaths increase membrane resistance (rm) to charge flow
Reduce membrane capacitance, charge flows better along axon
APs can only occur at Nodes of Ranvier where myelin is not present
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Saltatory conduction
APs "jump" or "leap" from node to node
Elevation of intracellular [Na+] depolarizes the membrane at the next node, causing voltage-gated Na+ channels to open there
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Saltatory conduction
Action potentials propagate from node to node
Direction of propagation is towards synaptic terminals
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Understanding cell-to-cell communication in excitable cells involves understanding synaptic function
APs, graded potentials, synapse, and membrane function contribute to circuit complexity
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Electrical synapses
Assemblages of gap junctions
Allow flow of ions, H20, and small molecules
Fastest type of synapse
Found in neurons of 'escape behavior' circuitry, common in simplest nervous systems
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Electrical synapse function
Injection of small stimulus current into cell A leads to graded depolarization in cell B
Signal in cell B looks like the one in cell A
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Graded potentials travel short distances
Magnitude of graded potential decreases with increasing distance from opened ion channel
Decrement due to leakage of charged ions, electrical resistance of cytoplasm, and electrical properties of membrane
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Electrical synapse function
Suprathreshold stimulating current injected into cell A leads to AP firing in cell A
Depolarization of cell B beyond threshold elicits AP in cell B
Page 49: Rectifying electrical synapse
Asymmetric electrical synapses exist
Opening of gap junctions is elicited by depolarization
Connexon channels on only one of the two membranes may respond strongly to depolarization and open
This can make some electrical synapses one-way-only (rectifying)
Page 50: Fast chemical synapse
Ligand-gated ion channels
Small cleft
Vesicles released at specialized active zone
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Degraded by enzymatic catalysis
Diffuses out of cleft
Re-synthesized for later release
Transmitter rapidly removed from cleft
Some removed transmitter recycled into synaptic vesicles
Fast chemical synapses involve ligand-gated ion channels
Binding of ligand (neurotransmitter) causes ion channel to open
Nature of post-synaptic membrane response dictated by channel properties
Page 52: Neurotransmitters and fast chemical synapses
Table 6-2: Typical small neurotransmitters, their structures, and functions
Acetylcholine (ACh): Fast excitation; slow inhibition
y-Aminobutyric acid (GABA): Fast inhibition; slow inhibition
Effect of a neurotransmitter depends on the properties of the postsynaptic cell
Page 53: Nicotinic synapse
Presence of ligand-gated ion channel on post-synaptic membrane
Ligand = Acetylcholine (ACh)
Nicotine mimics action of ACh
ACh binding results in depolarization of post-synaptic membrane
Page 54: Nicotinic synapse
Patch-clamping of individual nicotinic acetylcholine (ACh) receptor channels
Vm held at ≈ -120 mV (voltage clamping)
Intermittent binding of agonist (e.g. nicotine) causes channels to flicker open/closed
Inward positive current transiently measured
Page 55: Nicotinic synapse
Channel can flicker open/closed while ACh is bound
"Desensitized" state
ACh is broken down by acetylcholinesterase in cleft
Recycled in axonal terminal
Channel is a "non-selective cation channel": permeable to both Na+ and K+, and sometimes also Ca2+
Page 56: Electromotive force: EMF
The electromotive force (EMF) is the driving force for movement of an ion
It is the sum of the strength of electrical and chemical gradients
EMF can be represented as the difference between Vm and the equilibrium potential for an ion
Page 57: Ionic conductance
The ionic current for ion X is the magnitude of its driving force multiplied by its permeability
Ionic current can be represented as the product of conductance and the difference between Vm and the equilibrium potential for ion X
Page 58: Ionic conductance
This equation is a variation of Ohm's Law
Ionic current (Ix) = Voltage (Vm) / Resistance (Rx)
So, Ix = gx * (Vm - X)
Page 59: Reversal Potential
When current (Ix) for one ion is equal and opposite to another, there is no net current
The reversal potential can be calculated using the equation: I = (r * gK) + (r * gNa)
Page 60: Reversal Potential
Different scenarios based on the relationship between INa and IK
Depending on the net current, there can be depolarization or hyperpolarization when ACh binds
Page 61: GABA fast inhibitory synapse
Normally, ECl ≈ -100 mV, similar to EK
When GABA activates channel permeable to Cl-, there is a net Cl- entry and hyperpolarization
Page 62: Slow chemical synapse
Neurotransmitters are typically larger molecules compared to fast synapses
Larger vesicles are not released at specialized "active site"
Indirect action
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Slow chemical synapse (typical mechanism)
Mechanism of neurotransmitter release from axon is essentially equivalent to fast chemical synapse
Neurotransmitter binds to receptor
This causes activation of associated G-protein complex
G-protein complex directly or indirectly causes change in conductance through ion channel
Opens or closes channel depending on synapse
G-protein activated second messenger systems can cause other cell changes act longer term
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Neurotransmitter recycling
Neurotransmitter deactivated or removed from synapse
Transmitter (or breakdown products) endocytosed
In fast chemical synapses, transmitter typically produced & reformed/repackaged in axon terminus
In slow chemical synapses, transmitter typically produced & reformed/repackaged in soma
Involving intracellular trafficking
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Four functional neural zones
Signal reception
Dendrites and the cell body (soma)
Incoming signal received and converted to change in membrane potential
Signal integration
e.g. axon hillock
Strong signal is converted to an action potential (AP)
Signal conduction
Axon (some wrapped in myelin sheaths)
AP travels down axon
Signal transmission
Axon terminals
Release of neurotransmitter/e