2019-01-30 17:09:56

We are the champIONs (3:47)

Measuring potentials in actual neurons (4:20)

Today's Topics

  • Exam 1 in-class next Thursday
  • Mind maps/concept maps
  • Warm-up
  • Electrical communication in neurons
  • The action potential
  • Wherefore brains

A mind map/concept map

Warm-up

Which type of glial cell produces myelin for neurons in the CNS?

  • A. Astrocytes
  • B. Oligodendrocytes
  • C. Schwann cells
  • D. Microglia

Which type of glial cell produces myelin for neurons in the CNS?

  • A. Astrocytes
  • B. Oligodendrocytes
  • C. Schwann cells
  • D. Microglia

How many neurons are there in the human brain?

  • A. 100 million
  • B. 100 billion
  • C. ~86 billion
  • D. ~86 million

How many neurons are there in the human brain?

  • A. 100 million
  • B. 100 billion
  • C. ~86 billion
  • D. ~86 million

What part of the neuron receives the majority of input from other neurons?

  • A. The axon
  • B. The terminal button
  • C. The soma
  • D. The dendrites

What part of the neuron receives the majority of input from other neurons?

  • A. The axon
  • B. The terminal button
  • C. The soma
  • D. The dendrites

Electrical communication in neurons

Resting potential

Where does the resting potential come from?

  • Ions (charged atoms)
  • Ion channels
  • Separation between charges
  • A balance of forces

We are the champIONs, my friend

  • Potassium, \(K^+\)
  • Sodium, \(Na^+\)
  • Chloride, \(Cl^-\)
  • Organic anions, \(A^-\)

Resting potential arises from

  • A balance of forces
    • Force of diffusion
    • Electrostatic force
  • Forces cause ion flows across membrane
  • Ion channels allow ion flow

Ion channels

  • Openings in neural membrane
  • Selective for specific ions
  • Vary in permeability (how readily ions flow)
  • Types
    • Passive/leak (always open)
    • Voltage-gated
    • Ligand-gated (chemically-gated)
    • Transporters/pumps

Ion channels

Neuron at rest permeable to \(K^+\)

  • Passive \(K^+\) channels open
  • [\(K^+\)] concentration inside >> outside
  • \(K^+\) flows out

Force of diffusion

Force of diffusion

Neuron at rest permeable to \(K^+\)

  • Organic anions (\(A^-\)) to large to move outside of cell
  • \(A^-\) and \(K^+\) largely in balance == no net internal charge
  • \(K^+\) outflow creates charge separation: \(K^+\) <-> \(A^-\)
  • Charge separation creates a voltage
  • Outside +/inside -
  • Voltage build-up stops outflow of \(K^+\)

The resting potential

Balance of forces in the neuron at rest

  • Force of diffusion
    • \(K^+\) moves from high concentration (inside) to low (outside)

Balance of forces in the neuron at rest

  • Electrostatic force
    • Voltage build-up stops \(K^+\) outflow
    • Specific voltage called equilibrium potential for \(K^+\)+
    • \(K^+\) positive, so equilibrium potential negative (w/ respect to outside)
    • Equilibrium potential close to neuron resting potential

Equilibrium potential and Nernst equation

Equilibrium potentials calculated under typical conditions

Ion [inside] [outside] Voltage
\(K^+\) ~150 mM ~4 mM ~ -90 mV
\(Na^+\) ~10 mM ~140 mM ~ +55-60 mV
\(Cl^-\) ~10 mM ~110 mM - 65-80 mV

Resting potential ≠ \(K^+\) equilibrium potential

  • Resting potential not just due to \(K^+\)
  • Other ions flow
  • Resting potential == net effects of all ion flows across membrane

Goldman-Hodgkin-Katz equation

\(Na^+\) role

  • \(Na^+\) concentrated outside neuron
  • Membrane at rest not very permeable to \(Na^+\)
  • Some, but not much \(Na^+\) flows in
  • \(Na^+\) has equilibrium potential ~ + 60 mV
  • Equilibrium potential is positive (with respect to outside)
  • Would need positive interior to keep \(Na^+\) from flowing in

Electrical circuit model

Summary of forces in neuron at rest

Ion Concentration gradient Electrostatic force Permeability
\(K^+\) Inside >> Outside - (pulls \(K^+\) in) Higher
\(Na^+\) Outside >> Inside - (pulls \(Na^+\) in) Lower

Party On

  • Annie (\(A^-\)) was having a party.
    • Used to date Nate (\(Na^+\)), but now sees Karl (\(K^+\))
  • Hired bouncers called
    • "The Channels"
    • Let Karl and friends in or out, keep Nate out
  • Annie's friends (\(A^-\)) and Karl's (\(K^+\)) mostly inside
  • Nate and friends (\(Na^+\)) mostly outside
  • Claudia (\(Cl^-\)) tagging along

What happens if something changes?

  • Easier for Karl [\(K^+\)] to exit?
  • Easier for Nate [\(Na^+\)] to enter?
  • Some action!

Action potential

Action potential

  • Threshold of excitation
  • Increase (rising phase/depolarization)
  • Peak
    • at positive voltage
  • Decline (falling phase/repolarization)
  • Return to resting potential (refractory period)

Action potential break-down

Phase Neuron State
Rise to threshold + input makes membrane potential more +
Rising phase Voltage-gated \(Na^+\) channels open, \(Na^+\) flows in
Peak Voltage-gated \(Na^+\) channels close and deactivate; voltage-gated \(K^+\) channels open
Falling phase \(K^+\) flows out
Refractory period \(Na^+\)/\(K^+\) pump restores [\(Na^+\)], [\(K^+\)]; voltage-gated \(K^+\) channels close

What's a \(Na^+\)/\(K^+\) pump?

  • Enzyme (\(Na^+\)/\(K^+\) ATP-ase) embedded in neuron membrane
  • Pumps \(Na^+\) and \(K^+\) against concentration gradients
  • \(Na^+\) out; \(K^+\) in
  • Uses ATP or chemical energy

Example in another domain

Refractory periods

  • Absolute
    • Cannot generate action potential (AP) no matter the size of the stimulus
    • Voltage-gated \(Na^+\) channels inactivated, reactivate in time.
  • Relative
    • Can generate AP with larg(er) stimulus
    • Some voltage-gated \(K^+\) channels still open
  • Refractory periods put 'spaces' between APs

Generating APs

  • Axon hillock
    • Portion of soma adjacent to axon
    • Integrates/sums input to soma
  • Axon initial segment
    • Umyelinated portion of axon adjacent to soma
    • Voltage-gated \(Na^+\) and \(K^+\) channels exposed
    • If sum of input to soma > threshold, voltage-gated \(Na^+\) channels open

Axon hillock, axon initial segment

Next time

  • Putting it all together
  • How action potentials propagate
  • Review for Exam 1

Wherefore brains?

Why brains?

Escherichia Coli (E. Coli)

  • Tiny, single-celled bacterium
  • Feeds on glucose
  • Chemo ("taste") receptors on surface membrane
  • Flagellum for movement
  • Food concentration regulates duration of "move" phase
  • ~4 ms for chemical signal to diffuse from anterior/posterior

Paramecium

  • 300K larger than E. Coli
  • Propulsion through coordinated beating of cilia
  • Diffusion from head to tail ~40 s!
  • Use electrical signaling instead
    • Na+ channel opens (e.g., when stretched)
    • Voltage-gated Ca++ channels open, Ca++ enters, triggers cilia
    • Signal across cell within ms

Caenorhabditis Elegans (C. Elegans)

  • ~10x larger than paramecium
  • 302 neurons + 56 glial cells (out of 959)
  • Swim, forage, mate

Why brains?

  • For neurons
  • Bigger bodies
  • Live longer
  • Do more, do it faster

References