2017-09-14 11:28:00

Today's Topics

  • Quiz 1
  • Why brains?
  • The resting potential

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

Neural communication

  • Electrical
    • Fast(er)
    • Within neurons
  • Chemical
    • Diffusion slow(er)
    • Within & between neurons

How are messages generated?

  • Electrical potential (== voltage)
    • Think of potential energy
    • Voltage ~ pressure
    • Energy that will be released if something changes

Potential energy

Types of neural electrical potentials

  • Resting potential
  • Action potential

Resting potential

  • Measurement
    • Electrode on inside
    • Electrode on outside (reference)
    • Inside - Outside = potential

Resting potential

Resting potential

  • Neuron (and other cells) have potential energy
    • Inside is -60-70 mV, with respect to outside
    • About 1/20th typical AAA battery
  • Like charges repel, opposites attract, so
    • Positively charged particles pulled in
    • Negatively charged particles pushed out

Where does the resting potential come from?

  • Ions
  • Ion channels
  • Separation between charges
  • A balance of forces

We are the champIONs, my friend

  • Potassium, K+
  • Sodium, Na+
  • Chloride, Cl-
  • Calcium, Ca++
  • Organic anions, A-

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

Party On

Ion channels

  • Macromolecules that form openings in membrane
  • Different types of subunits

Ion channels

  • Selective
  • Vary in permeability
  • Types
    • Passive/leak
    • Voltage-gated
    • Ligand-gated (chemically-gated)
    • Transporters

Ion channels

Neuron at rest permeable to K+

  • Passive K+ channels open
  • K+ flows out
  • K+ outflow creates charge separation from A-
  • Charge separation creates voltage
  • Voltage prevents K+ concentration from equalizing b/w inside and out

Force of diffusion

Force of diffusion

Neuron at rest

  • Force of diffusion
    • K+ moves from high concentration (~150 mM inside) to low (~4 mM outside)
    • Movement of charged particles == current

Neuron at rest

  • Electrostatic pressure
    • Voltage build-up stops K+ outflow
    • Voltage called "reversal potential"
    • K+ positive, so reversal potential negative (w/ respect to outside)
    • Reversal potential close to resting potential

Equilibrium potential and Nernst equation

Building on intuition

Back to neurons

  • Na+ also has reversal potential
  • Membrane at rest not very permeable to Na+
  • Concentrated outside neuron (~140 mM) vs. inside (~10 mM)
  • Some Na+ flows in
  • Equilibrium potential is positive (with respect to outside)

Resting potential

Electrical circuit model

Resting potential

Summary of forces

Ion Concentration gradient Electrostatic force
K+ Inside >> Outside, outward - (pulls K+ in)
Na+ Outside >> Inside, inward - (pulls Na+ in)

Driving force and equilibrium potential

  • "Driving Force" on a given ion depends on its equilibrium potential.
  • Driving force larger if membrane potential far from equilibrium potential for ion.
  • Equilibrium potential
    • Voltage that keeps current (inside/outside) concentrations the same
    • Voltage membrane potential will approach if only that ion flows

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

Video summary of resting potential

Next time…

References