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37 Cards in this Set

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Concentration of Na+ in cells

In plasma: 142 mM


In intestinal fluid: 145 mM


In intracellular fluid: 15mM

Gradient

Transmembrane rate of change of concentration through membrane

Concentration of K+ in cells

In plasma: 4.4 mM


In interstial fluid: 4.5 mM


In intracellular fluid: 120 mM

Concentration of Ca +2 in cell:

extracellular: 1.2 mM


intracellular: 10^-4 mM



VERY small amount due to


1. low Ca2+ permeability at rest


2. Ca2+ binds to many proteins and is no longer free

Concentration of Cl- in cell:

Extracellular: 116 mM


Intracellular: 20 mM



Current carrying ion for action potentials


Major ion to preserve neutrality (because neg.)


Blocks excitatory nerve action potential


Ion exchange mech. for secretions epithelium

Cause of cystic fibrosis:

no Cl- channels


Cl- can't leave extracellular fluid, mucus builds up

Lipophilic non-electrolyte molecules and permeability:

Water insoluble molecules, move between bilayer lipids



O2, CO2, N2, organic molecules (alcohols, ketones), anesthetics

Lipophobic non-electrolyte molecules and permeability:

Water soluble, need pores and channels formed by integral proteins to get through membrane



--urea, glycerol, polar molecules with less than 5 carbon atoms

Transmembrane flux

# molecules that pss thru membrane per time per area

Water transport through membrane

Most permeable molecule, so rapid flux


10% thru lipids


90% through aquaporins

Pores vs channels

Pore is not gated, whereas channel is, and not always open

Three types of channels

Voltage gated: membrane polarization opens/closes gate



Chemically gated: endrogenous "agonists" (hormones/neurotransmitters) regulate secondary messenger cascade



Physical energy gated: secondary messenger system activated in various ways

Types of physical energy gated channels

Pressure dependent (baroreceptors)



Shear stress dependent (cochlear/vestibular hair cells)



Light energy dependent (retinal cells)

Forces that govern simple diffusion

1. concentration gradient


2. electrical potential gradient


--can be caused by voltage being applied or separating ions with active transport

Fick's First Law of Diffusion

Q is rate of mass mvt of uncharged particle



Q net = Q (outside to inside) - Q (inside to outside)



Q net=Px A Δ X


Factors in Fick's First Law of Diffusion

Q net=Px A Δ X



Px is permability constant; easy of momvenet in length/time



A is "effective cross sectional area"; area of lipid bilayer or area of channel x number of channels



Δ X is (Xi - Xo) or (Xo-Xi), depending on direction conc. gradient


Determining permeability constant

Px=DB/L



D=diffusion coeff, ease of mvt within cell membrane in length^2/time



B=partition coeff, ease of entry into cell or difference in force of attraction for diffusing molecules exerted by molecules in membrane



L=length of pathway or membrane thickness

Determining diffusion coeffient

B= [Xi]'/[X]i = [X]o'/[X]



B>1 means incresed intramembrane conc.


B<1 means decreased intramembrane conc.


B=1 means intramembrane conc. gradient=transmembrane gradient

Flux

Another way to describe movement; it is the amount of solute moved per unit time per unit cross sectional area perpendicular to flux direction



Jx=Qx/A or Jx=PxΔX



Determining passive transport resulting from an applied voltage difference (in theory)

Concentrations of ions assumed to be originally constant



ΔV=Vo-Vi, externally applied



Flux poportional to magnitude of gradient, permeability and conc. of ion



Pos. to neg. is direction by convention

Equation for passive transport resulting from applied voltage difference

Jxnet = zPx [X][ΔV]



z=valence of ion



Total passive flux equation: Jxnet total = J x net chem + J x net electrical

Electrochemical potential T

Sum of chemical concentration energy and electrical energy gradients in a typical cell

Vm

Results from separation of positive and negative charges as permeable ions diffuse through a cell membrane

Vm at steady state

Needs energy from ATP bonds due to ATP hydrolysis; this helps keep steady state rther than equillibrium potential by using Na/K pump


GHK Equation

Derived from Nerst equation because flux can be described as current;charges (ions) are moving



Equation tells us that current is a function of membrane potential and concentration difference across membrane

Application of GHK equation

Ionic equillibrium electric potential across a planar lipid bilayer



Example: ion channels that only allow K+ through; intracellular compartment becomes negative as K+ moves out



Continues until Vk reached (-92.4 mV)

Vk

With electrochemical gradient


This is when the outward force generated by either chemical or electrical potential energy equals the opposite inwardly driving force




Equillibrium



Net flux=0, Ek=0


Quantitative Expresion Equillibrium

Use when Ik=0



Vk or Ek = RT/zF x 2.303 log ([K]i/[K]o)



*can have - in front of K/K

Resting Vm of cell

-70 mV



When itotal=0

GHK Constant Field Equation for Resting Potential

Vm= -RT/F ln (Pk[K]i/Pk[K]o + PNa[Na]i/PNa[Na]o + PCl[Cl]o/PCl[Cl]i )



Cl is at equillibrium because no pumps, eliminate it

Myotonia congenita

Cl- channel blocked, can't get inside cell to help repolarize



Causes a "myotonia" which is a prolongued contraction of muscles, retarded relaxation of clasped hand and abnormal walking gate

Finalized GHK Equation with Cl- eliminated

Vm= -RT/F ln ( [K+]i/[K+]o + alpha[Na]i/alpha[Na]o )



Alpha=PNa/Pk

Effect of changing permeability on Vm

Increase in Na+ permeability increases alpha and you get an increase in Vm magnitude



Vm can shift from -120 to -100 as PNa+ increases



As [K+]o increases, we get depolarization too (Vm closer to 0) due to reduced K+ electrochemical gradient and reduced Vm

Clinical implications of too much [K+]o

Could get too many spontaneous, hyperexcitable depolarizations



Therefore lethal cardiac arrthymias/abnormal breathing patterns

Effect of Changes in Pk

Decrease: would cause depolarization bc couldn't move down concentration gradient, less separation of positive and negative charges



Increase: would cause hyperpolarization because of greatr mvt of K+ down concentration gradient, causing more separation charges

Effect of Changes in PNa

Decrease: would cause little change in resting Vm because contribution of iNa to Em small due to small PNa



Increase: would cause sig. depolarization because would lead to large iNa and separation of charges

Importance of alpha

Absolute value Vm inversely proportional to alpha as alpha increases, membrane less polarized



to do so, open Na+ channels during action potential