1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brums [2.3K]
3 years ago
12

The most efficient way to administer a drug to its intended target site is to administer it intravenously (directly to the blood

). If the drug is administered in any other way (for example orally, nasal inhalant, or skin patch), then some of the drug is typically lost due to absorption before it gets to the blood. By definition, the bio-availability of a drug (F) measures the effectiveness of a non-intravenous method compared to an intravenous method. The bio-availability of intravenous dosing is 100%, F = 1. Let the functions Ci and Co give the concentrations of a drug in the blood, for times , using intravenous and oral dosing, respectively. (These functions can be determined through clinical experiments.) Assuming the same about the drug is initially administered by both methods, the bioavailability for oral dose (F0) is defined to be :
Where UAC is used in the pharmacology literature to mean "Area Under the Curve"

Suppose the concentration of a certain drug in the blood in mg/L when given intravenously is:

Ci(t) = 100e-0.3t

whereis measured in hours.

Suppose that the concentration of the same drug when delivered orally is:

C0(t) = 90(e-0.3t - e-2.5t)

Find F, the bio-availability of the drug.
Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

 F = 0.792

Step-by-step explanation:

Given:

- The function C_o :

                               C_o (t) = 90*(e^-0.3t - e^-2.5t)

- The function C_i :

                               C_i (t) = 100*e^-0.3t

The function:

                               F = UAC_o / UAC_i = \frac{\int\limits^n_0 {C_o} \, dt }{\int\limits^n_0 {C_i} \, dt }

Find:

- The factor F.

Solution:

- Determine UAC_o from the function given:

                       UAC_o = integral ( 90*(e^-0.3t - e^-2.5t) ) dt

                       UAC_o = -300*e^(-0.3t) + 36*e^(-2.5t)

Evaluate integral from infinity to zero:

                      | UAC_o | = 300 - 36 = 264

- Determine UAC_i from the function given:

                       UAC_i = integral ( 100e-0.3t ) dt

                       UAC_i = -333.333*e^(-0.3t)

Evaluate integral from infinity to zero:

                      | UAC_i | =  0 + 333.333 = 333.3333

- Evaluate factor F:

                          F =  | UAC_o | / | UAC_i |

                          F = 264 / 333.3333

                         F = 0.792

You might be interested in
A group of employees bought a get-well gift for a co-worker. The gift cost $16.06. If there are 22 employees in the group, how m
USPshnik [31]
16.06 divided by 22 = 0.73 so the answer would be 73 cents? Sorry im from the UK and don't know about dollars/cents 
6 0
2 years ago
Read 2 more answers
0.4(5x – 12) + 0.5x = 15.2
kvasek [131]

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em>

3 0
3 years ago
Read 2 more answers
80% is what fraction of the whole quantity?
USPshnik [31]
The answer is 80/100
8 0
3 years ago
Help!! check screenshot below.
Crazy boy [7]

Answer:

x < 7

Step-by-step explanation:

7x < 49 (Given)

x < 7 (Divided 7 on both sides)

5 0
2 years ago
Read 2 more answers
Juan has 12 pencils. two-thirds of these pencils are sharpned which model represents the number of sharpend pencils juan has?
Oduvanchick [21]

Answer:

8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • A greenhouse manager knows, from experience, that the probability of a plant surviving the winter is 35 . If her greenhouse has
    5·2 answers
  • In science class, Savannah measures the temperature of a liquid to be 50∘ Celsius. Her teacher wants her to convert the temperat
    11·1 answer
  • Draw your own Punnett square using the following data. The mother has freckles (ff), and the sad does not (Ff). F= no freckles f
    14·1 answer
  • If 27% of the group voted to change its
    12·1 answer
  • How do you solve this (−18) ÷ 3 + (5)(−2) ?
    7·1 answer
  • Two triangles are similar. The perimeter and area of the smaller triangle are 2. The perimeter of the larger triangle is 3. What
    6·2 answers
  • The area of rectangular garden. 50m long is 450 sq.m. Find the width of the garden
    8·1 answer
  • -3 squared +(-4+7)(2)
    9·1 answer
  • Which of the following is an equation of the line in the figure below?
    5·2 answers
  • 4. What are the coordinates of the x-intercept for the equation y= -1x + 3?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!