Mathematical Fundamentals in Pharmacokinetics Flashcards
Pharmacokinetics has a strong mathematical basis
A solid foundation in mathematical principles in algebra, calculus, exponentials, logarithms, and unit analysis are critical for students in this discipline
Pharmacokinetics uses extensively exponential terms and their inverse, the logarithms
Logarithms are necessary in deal with __________ that are routinely encountered in kinetics
exponential functions
When you solve a log, you calculate the __________________
exponent that the base was raised to
The logarithm of a real positive number (N) is the power to which a base must be raised to equal N
The number 10 to the second power is 100, so log 10(100)=2
log 2 (4)=2
The number 10 to the second power is 100 so log10 100=2
The two common bases are _______(common log) and e (the base of the natural logarithms to 2.718)
If X=a; if e^a=X and log X=b if 10^b-X
Natural logs are used most in _______systems because they relate to natural process (e.g., drug elimination)
biological
the logarithms of _______and _________numbers are NOT defined
zero and negative numbers are not defined.
e^1=e, 10^1=10; e^0=10^0=1
Properties of exponents and logarithms
Logarithms to either base 10 or base e may be used as long as the same base is used in a series of related calculations
It is easier to use natural logs when an equation has an ________ term (as do most kinetic equations)
exponential
