group 5: logarithms (healthcare)
TRANSCRIPT
Logarithms
Case
Application of Logarithms• Calculating frequency at which a patient
needs to take a dose of this drug
m=Ae-kt
Amount of medicine left in body constants
Time since last dosage
Calculator value of e
Application of Logarithms
• Equation converted to logarithmic form
lnm = -kt + lnA
In the form of y=mx+c
Can plot graph
Data
t (hours) m (mg)
0 200
2 127
4 79
6 50
10 20
30mg<m<300mg
Questions
• There shouldnot be more than 300mg of the drug in the body, beyond which the drug becomes toxic. Is it advisable to take another dose after 2.5 hours? (assuming 1 dosage is 200mg)
NO, amount of medicine left +200-> more than 300mg
m=Ae-kt
A = 200K = 0.227
Questions
• Estimate amount of drug left in patient’s body after 8 hours
m=Ae-kt
A = 200K = 0.227
Ans:32.5mg
Conclusion
1 dosage to be taken every 6 hours, if not you’ll die of drug overdose
•Thanks