Equations Flashcards

1
Q

What does the Hill equation show?

A

it describes the relationship between the partial pressure of oxygen and the oxygen saturation of hemoglobin.
It is used to describe the fraction of a macromolecule saturated by ligand as a function of the ligand concentration.

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2
Q

What is Ehrlich’s Therapeutic Index?

A

TI = (max non toxic dose)/(min effective dose)
or TI = (Toxic dose 50%)/(Effective dose 50%)
animal studies:
TI = (lethal dose 50%)/(effective dose 50%)

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3
Q

What is the Hill Langmuir equation?

A

PAR = (A) / (Ka + A)

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4
Q

What is the equation of the Hill plot?

A

log ( Par / (1-Par) = log (A) - log (Ka)
log ( Par / (1-Par) against log (A) gives a straight line, slope 1.
In practice, the Hill slope is not always constant, and is referred to as nH, the Hill coefficient.

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5
Q

What is the Hill equation?

A

y = ymax (A^nH) / (EC50 ^ nH + A^nH)
nH is the Hill coefficient. y is the observed response, ymax is the max response to a large concentration of agonist. EC50 is the concentration of A at which y is half maximal.

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6
Q

What is an equation relating efficacy and intrinsic efficacy?

A

e = epsilon [R]T

epsilon is intrinsic efficacy (the max response to agonist/max response to full agonist at same receptor)

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7
Q

What is the del Castillo & Katz model?

A

They introduced the idea of an occupied inactive receptor and occupied active receptor with equilibrium constant E.

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8
Q

What is the Gaddum equation?

A

PAR = [A] / (Ka (1 + [B]/Kb) + [A])

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9
Q

What is the Schild equation?

A

r -1 = [B] / Kb

r is the concentration ratio

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10
Q

What is pA2?

A

empirical measure of activity of antagonist

pA2 = -log [B] (r=2)

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