StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...

Modelling the Amount of a Drug in the Bloodstream - Lab Report Example

Comments (0) Cite this document
Summary
This paper "Modelling the Amount of a Drug in the Bloodstream" discusses the amount of drug in the bloodstream based on the data given for a drug for treating malaria in the bloodstream over the 10-hour period following an initial dose of 10 μg…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER97.3% of users find it useful
Modelling the Amount of a Drug in the Bloodstream
Read TextPreview

Extract of sample "Modelling the Amount of a Drug in the Bloodstream"

Download file to see previous pages At last, cases will be taken for the patient, for no further doses taken and doses continued to be taken for every six-hours for a period of one week.

As given, from figure 1, it is clear that the rate of the decrease of the drug is approximately proportional to the amount remaining. In addition, the graph is similar to an exponential decay graph because the amount is subject to exponential decay as it decreases at a rate proportional to its value. Therefore, for modeling, the exponential decay function will be used. The general equation of an exponential decay function is written as below:
Where, is an initial value at t = 0, is decay constant, is the time and is the amount remaining after time. Like (pie), it is also an irrational number, which is used in natural logarithmic (ln) and the value of is approximately 2.7182818284590452353602874713527.
Let us use the natural exponential decay function, for modeling the amount of drug in the bloodstream. At the start, the drug given to malaria patients is 10 µg. Therefore, the value of will be 10. For simplicity let us use instead of. Now, the equation can be written as:
The data given is not precise, therefore, for each interval (hours) the value of (decay constant) will be different. For calculating the approximate value, the value of each data will be calculated and their average will be taken. Simplifying function, for calculation of decay constant.
There are 20 records for the amount of drug remained, therefore, the value of decay constant calculated for each record will be different. The above-derived function can be used for calculating different values for the given data.
Figure 2 shows the Graph of model function and the data given for the amount of drug in the bloodstream over a period of 10 hours. Now, from figure 2, it can be seen that both graphs of model function and graph of data give follows the approximately the same path. There is a minor difference in-between periods 2-3 and 5-6 hours. However, for the rest of the points (period), model graph function follows the same path as a graph of data given. ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
  • CHICAGO
(Modelling the Amount of a Drug in the Bloodstream Lab Report, n.d.)
Modelling the Amount of a Drug in the Bloodstream Lab Report. Retrieved from https://studentshare.org/mathematics/1711649-math-portofolio-type-research-paper-ib-progam-standard-leve-title-modelling-the-amount-of-a-drug-in-the-bloodstream
(Modelling the Amount of a Drug in the Bloodstream Lab Report)
Modelling the Amount of a Drug in the Bloodstream Lab Report. https://studentshare.org/mathematics/1711649-math-portofolio-type-research-paper-ib-progam-standard-leve-title-modelling-the-amount-of-a-drug-in-the-bloodstream.
“Modelling the Amount of a Drug in the Bloodstream Lab Report”. https://studentshare.org/mathematics/1711649-math-portofolio-type-research-paper-ib-progam-standard-leve-title-modelling-the-amount-of-a-drug-in-the-bloodstream.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document

CHECK THESE SAMPLES OF Modelling the Amount of a Drug in the Bloodstream

Bloodstream Infections

..., cardiovascular devices, urinary catheter and penile implants .Other causes blood infections includes use of unscreened blood products, and contact between patients. For central line associated bloodstream infections, they are actually associated with increased length of hospitalization (Guerin, 2010). In USA, it has been reported that increased risk of developing blood stream infections (BSI) is associated with the increased use of central venous catheters (CVSs) in ICU patients especially when the skin catheter site is colonized by bacteria and fungi. This is a major risk factor for CVC infection. Other predisposing factors to infection includes; exposure to mechanical ventilations (Jerome, 2000). Patients receiving TPN are also at risk...
7 Pages(1750 words)Research Paper

Central line associated bloodstream infections

...? Central Line Associated Bloodstream Infections Central Line Associated Bloodstream Infections Central line-associated bloodstream infections (CLABSIs) cause thousands of deaths annually and billions dollars of costs to the United States healthcare system, although these infections can be prevented. Central line-associated bloodstream infections (CLABSIs) happen when microbes get into the bloodstream by a central line (a tube that is inserted in a large vein to provide blood, medications, fluids, or to do specific medical tests rapidly. The long duration of hospitalization before catheterization, underlying medical circumstances, prematurity, area of placement of catheter or various other factors may result in increased risks of central...
3 Pages(750 words)Research Paper

Mathematical Modelling

...? Mathematical Modeling al Affiliation) Introduction The paper applies the second-order differential equations in variousreal life situations. Most of the questions involve the masses that bounce up and down at the spring’s end. The questions apply the accurate descriptions of the motion under various motions of situations. The work also introduces a lot of results and notions that are equally applicable in things that oscillate and vibrate in similar manner. For instance, the current analysis in fundamental circuit is analogous to analysis involving the spring’s mass. Discussion Diagram representing the (MSD) System Source: "Mass-Spring-Damper." File:Mass-Spring-Damper (2 body system).svg. N.p., n.d. Web. 28 Nov. 2013.
4 Pages(1000 words)Math Problem

Modelling (Spreadsheet Modelling for OR)

From the above chart it is clear that there has been an increase in population among the age 20 to 25 than any other age group, this is a positive indication of the population because this shows an increase in the regions workforce.
The above chart shows that there has been a population increase among the young females, however there has been a decline in population among those aged above 40 years, this is evident from our above chart which shows higher death rates among the old yet a very low levels of population aged between 40 years and above.
The total rate from our data shows that the death rate total amounts to 1181.5 while that of the birth rate amounts to 871, when we proceed and find the mean rates then our mean...
3 Pages(750 words)Essay

Bussiness modelling

In the same manner the information system being developed should not be the automation of the current operational bad habits in the organization. Information System development should also include transforming the operation of the organization from being person or people centric to process and procedure centric as defined by its operating policies and business goals.
In information system development before starting the actual design of the system, we need to analyze and understand the requirement and the process of the organization and also the people that will be affected by the system. The system can either contribute to the organization’s success or it could also be the reason for the demise of an organization in case of i...
4 Pages(1000 words)Essay

Financial modelling

This diversification was given a priority in the study and thus the tests were carried out on 10 different stocks. The study was very important in that it would assist economists and even future ones to understand the magnitudes and signs such as the relationship of beta to the prevailing market returns. With the understanding, they would be able to balance them and with this, the market force would be at a balance. The Australian Stock Exchange (ASX) was very influential in that it provided us with the required resources for the study.
In the review of the previous literature in the provided topic, the Capital Assets Pricing and Markets model it was identified that the relationship between the beta and the average return is m...
3 Pages(750 words)Assignment

Financial modelling

...FINANCIAL MODELING By of the of the School Briefly explain the conceptsof expected return, standard deviation, and correlation (in the context of share prices), and discuss their importance in portfolio management. The fundamental concept behind Modern Portfolio Theory (MPT) is the fact assets in an investment portfolio should generally not be selected individually, each and every one on its own merits. It is very necessary to consider how each and every asset changes in price relative to how every other asset in the portfolio changes in price. The process of investment is basically a tradeoff between expected return and risk. Generally, it is thought that assets with much higher expected returns are more risky. For any given amount...
6 Pages(1500 words)Lab Report

Business modelling

...Business Modelling By Key words: Principles, Simulation Introduction Business modeling has been used for so long to solve business problems and develop strategies for the success of these businesses. There are so many models that can be used for this purpose. This paper will look at some of these models and their strengths and limitations. Linear Regression Analysis Strengths This is a technique of statistical analysis that helps business managers, economists and even business researchers forecast on the trends of their businesses in the coming future. Regression analysis will give the trends of the variables and this relationship will give a clear picture on what to expect in the future (Curwin, Slater and Eadson 2013). It also helps...
8 Pages(2000 words)Essay

Financial Modelling

...FINANCIAL MODELLING Introduction In this report, we attempt to explore whether a company should introduce a profit sharing scheme for all employees. Two theoretical principles have been postulated before. One postulates that introduction of profit sharing scheme will improve employee satisfaction and organisational commitment. The other theory argues that there will be greater alignment of employee and employer interests if such a scheme is introduced. Six variables have been used to conduct a quantitative analysis. The variables are; Profit margin of company (expressed as a percentage), Total assets of company (expressed in £ millions), Extent of team working within the company (expressed as a percentage), Scheme (coded as 1 if company...
7 Pages(1750 words)Research Paper

Mathematical modelling

...Mathematical Modelling al Affiliation Mathematical modelling is a fundamental way of using mathematics to solve real world situations. The solution involves both a theoretical approach to describe the system in general, and a mathematical approach where numerical answers are required. This report uses roller coaster and rectangular area problems to demonstrate the application of mathematical modelling using differentiation. Introduction Explaining mathematical modelling In as much as mathematical modelling is mathematics, it is also a theoretical science, thus offers mathematical answers to both narrow questions requiring numerical answers, and broach questions that require a description of general behaviour. In mathematics, modelling...
3 Pages(750 words)Essay
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

Let us find you another Lab Report on topic Modelling the Amount of a Drug in the Bloodstream for FREE!

Contact Us