Calculating Tau and Lambda Flashcards
What is the equation to calculate the length constant (original and simplified)
I = square root|(Rm/[Ri+Ro])
I = Square root| (Rm/ Ri)
Define Length constant (Lambda λ)
Distance at which the Vm decays to 37% of its original value
How are Rm and Ri related
They are related to diameter of the cell or axon
Rm is inversely related to what
and inversely proportional to what
membrane surface area
inversely proportional to the radius
what is geometry of a cylinder
As= 2prh
Ri is inversely related to what
and inversely proportional to what
The volume of the cytoplasm
inversely proportional to the square of the radius
Geometry of a circle
Ax= pr2
an increase in diameter will decrease what, Which will decrease faster
What will an increase of diameter increase
decrease both Rm & Ri, Ri will decrease faster
Increase in diameter increases lambda λ
(ie. the distance of electronic spread)
More channels = more what
= more depolarization
relatively small changes in diameter results in a fairly large change in what
large changes in the length constant
Tau and Lambda result from…
Also called what?
passive electrical potentials
Also called cable properties
what 3 are inherent features of membrane
resistance (Rm and Ri)
Capacitance
geometry
Example: If you have an extension cord and you try to plug your car in in the winter, so you take a couple extension cords and put them together to make one long extension cord, then it seems your car didn’t get enough juice from the extension cord. You should get a thicker cord because the diameter of the cord doesn’t allow for the flow of the charge to reach your car.
EPSP
IPSP
Excitatory post-synaptic potential
Inhibitory post-synaptic potential
EPSPs move Vm towards the threshold voltage; if threshold is reached…
an AP is generated at the axon hillock
IPSPs move Vm away from threshold, makes it harder to…
Harder to generate an AP
AP results from change in Rm
changing resistance through membranes, by opening channels
What are the 5 main characteristics of an AP?
- Exhibits a threshold voltage (all or nothing)
- Displays a rapid change in Rm
- Has sequential opening and closing of voltage-gated channels (depolarization, repolarization)
- Once generated, is actively propagated (unchanged & in one direction) along axonal membrane
- is a discrete signal; transient with quick return to RMP
Three types of Vm in a neuron
- Resting membrane potential (RMP) - all areas of membrane ie. K+ leak channels
- graded (electrotonic) potential (GP) - used in dendrites and axons ie. no channels (electrotonic)
- Action potentials (AP) - used in axon & terminals ie. voltage-regulated Na+ and K+ channels
Describe a dendrite
short axons, therefore small resistance and small diameter,
Electrical properties of a cell membrane are either…
Passive- do not change over time or
active - change over time (voltage-gated channels
what are the two passive electrical properties of cell membrane are…
resistance (R)
capacitance (C)
Passive membrane properties determine:
- magnitude of electrical current travelling on membrane surface
- time course (shape) of any Vm change
- Distance an electrical current will travel on membrane surface
- speed of action potential propagation along axon (conduction velocity)
biomembranes act as…
where is potential stored?
capacitors (nonconductors that store charge
- opposite charges line-up along membrane surfaces
- potential is stored along the membrane surfaces
bioelectricity would not be possible without…
capacitance
because of capacitance, only a few….
few ions are needed to generate a transmembrane potential (Vm)