Calculus for Pharmacokinetics Flashcards Preview

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Flashcards in Calculus for Pharmacokinetics Deck (39)
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1

If y=ax, what does x equal?

x=logay

2

If y=10x , what does x equal?

x=logy

3

How do you figure out what log28 is?

Figure out what power 2 needs to be put to in order to equal 8

i.e. 3

4

What does logaxy equal?

logax+logay

5

What does logax/y equal?

log ax-log ay

6

 What does logaxr equal?

rlogax

7

What does logaa equal?

1

8

What does loga1 equal?

0

9

What does logax+logay equal?

logaxy

10

What does logax-logay equal?

logax/y

11

What does rlogax equal?

logaxr

12

How would you make the line y=cxlinear?

Using a log-log scale

13

If y=cxk , what does logy equal?

logc+klogx

14

What is common log?

Log base 10 (log10)

15

If y=ex, what does x equal?

lny

16

How else can lny be represented?

logey

17

What does e equal (to 3 decimal places?

2.718

18

How would you make the line y=ce kx  linear?

Using a log-linear scale

19

If y=cekx , what does lny equal?

lnc+kx

20

If y(t)=y0ekt, and k>0, what will the curve look like?

It will be exponentially growing

21

If y(t)=y0e-kt, and k>0, what will the curve look like?

It will be decreasing at a slowing rate

22

What is biological half-life also called?

Elimination half-life

23

What is biological half-life?

The time it takes for a substance to lose one‐half of its pharmacological, physiological, or radiological activity.

24

What is the formula for biological half-life?

t1/2=ln2/k

25

Give a simple mathematic pharmacokinetic elimination model

C=C0e-Kt for t≥0, K>0

Where:

  • C denotes the plasma/serum drug concentration at time t (measured in mass/volume; e.g. mg/mL);
  • C0 denotes the initial plasma/serum drug concentration
  • K denotes the elimination rate constant (measured in reciprocal time; e.g. h‐1, min‐1, s‐1)
  • t  denotes time (e.g. hours, minutes, seconds).

26

If C=C0e-Kt, what does lnC equal?

lnC = ln(C0)-Kt

27

What is termination of action?

The time at which the drug concentration in the plasma/serum falls below the minimum level of the therapeutic range.

28

What is the formula for a logistic function?

y=L/(1+ae-kt)

Where L=carrying capacity

L/2=the inflection point

 

29

How will k effect a logistic model?

A large k will show a large surge in the data, a small k will show a gradual rise

30

What does a dose-response curve plot?

The intensity (usually scaled as a percentage of the maximum response) of physiological response to a drug as a function of the dose administered.