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

Limitations and Mathematical Models - Case Study Example

Cite this document
Summary
As the paper "Limitations and Mathematical Models" tells, one can explain that in science, questions answered just invite further questions. In the determination of disease pathophysiology, as more researchers work in the field, more and more are discovered about the intricacies of mechanism. …
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER93% of users find it useful
Limitations and Mathematical Models
Read Text Preview

Extract of sample "Limitations and Mathematical Models"

Mathematical models should be given room for error when it comes to their limitations. Making mathematical models depend on the current findings of the scientific community. For example, if the necessary data is inadequate to produce a numerical estimate of exposure to a certain disease, qualitative assessments are allowed to describe the probability of acquiring the disease based on the defined factors. With this in mind, assumptions are allowed, as long as the defining variables of the model are based on parameters whose contribution to the development of the disease has been found by several valid studies. Furthermore, the variability and uncertainty of these models should be described extensively (World Health Organization, 2005).

            Therefore, as technology continuously improves, mathematical models similarly change constantly to adapt to the new findings discovered. What the State should do is keep itself updated regarding the newest models that represent risks for certain diseases.

 Exposure Assessments

            Of course, despite the recognition that mathematical models may not identify all the interplaying risks involved and put enough weight on them, everyone should be vigilant in meticulously looking at how the mathematical models were obtained to determine whether they put enough weight on all identified risk factors or not. In my opinion, all mathematical models on exposure assessments should be validated by the researchers themselves, especially if they are to be used in passing laws by the state.

            Laws should not be based on unfound mathematical models because they direct the focus of concerned government agencies toward what was identified by the mathematical model as the defining risk factors for the development of the disease. When many studies have proven obesity as one of the more important risk factors in the development of cardiovascular diseases that have caused mortality in a lot of Americans, even first lady Michelle Obama herself promoted a healthy diet and exercise. Thalidomide, a drug widely available for use in women, was banned from the market as it was found through several studies that it causes physical malformation in these women’s newborns.   

             In addition, lawmakers should also choose the exposure assessment and corresponding mathematical model that cater to their purposes (World Health Organization, 2008). For example, if they are planning to mitigate the spread of infectious disease, an overestimation of the infective agent’s potential is better than underestimating them. However, a more stringent exposure assessment and mathematical model should be used in allowing drugs into the market, which may either be therapeutic or toxic depending on their concentration.       

 

Model Validity

            As discussed above, the reliability of models in sufficiently representing real-life situations is crucial, especially in the government. Model validity must thus be conducted regularly. However, one must note that even if a model is valid for one purpose, it does not mean the same is true for other objectives as well. Remember that models are made based on specific objectives (World Health Organization, 2005).

           

            First and foremost, validity largely depends on the state of data and documentation. When data is poorly gathered and/or insufficiently documented, the model is not valid, no matter how logical the model seems to be. Documentation must be clear, honest, fully referenced, provided with background, and ended with conclusions. As for the model, World Health Organization (2008) suggests that it must answer four questions, namely: “Is the model plausible? Is the model appropriate for the set objectives, Is the model implemented correctly, and does the model output makes sense?” As an example, model validity can be done by randomly selecting individuals from the population in question, and determining whether these individuals adhere to the model or not, such as that conducted by Xue et al. (2005) in determining the validity of their model describing ozone exposure assessment.

 

            Of course, recognition adds to the credibility of the model. It is thus recommended that models, together with all the used data during the development and the testing of the validity of the model, should be published in an appropriate peer review scientific journal. Not only does it face the scrutiny of the reviewers that determine whether the model is worth publishing or not, but it will also face the critique of journal readers once the model is presented to the public (World Health Organization, 2008).

Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Limitations Case Study Example | Topics and Well Written Essays - 750 words”, n.d.)
Retrieved from https://studentshare.org/health-sciences-medicine/1427856-limitations
(Limitations Case Study Example | Topics and Well Written Essays - 750 Words)
https://studentshare.org/health-sciences-medicine/1427856-limitations.
“Limitations Case Study Example | Topics and Well Written Essays - 750 Words”, n.d. https://studentshare.org/health-sciences-medicine/1427856-limitations.
  • Cited: 0 times

CHECK THESE SAMPLES OF Limitations and Mathematical Models

Emergency Time Frame for a Building on Fire

The following section will talk about the mathematical models, the laws involved and the mathematical tools used to evaluate the models.... All these models have their limitations and advantages and these should be kept in mind.... models can be simulated in 3 dimensions or in one dimension.... The discussion ahead focuses on the difference between the two types of models, the complexities involved, the requirements for solution and the viability of using each of the two models, starting first with the 3-d model and then the 1-d model....
6 Pages (1500 words) Essay

Industrial Business Management -The Operations Research as a Management Tool

These dates are translated into mathematical terms by using the tools of algebra and calculus, differential equations, geometry, statistics, and symbolic logic, among others.... This information is fed into the electronic computers and the result is an actual model of the organization under study- a mathematical code.... The most important single mathematical tool of operations research is probability and statistical theory.... The operations research worker need not be an expert in the operations involved but he must have enough technical background to understand the fundamentals of the opearions, enough mathematical ability to carry out the analysis involved, and, above all, the sort of impersonal curiosity that is the prime requisite of any scientific research worker....
4 Pages (1000 words) Essay

Gdel's Work in Set Theory

ohen invented a new technique called forcing in the course of proving his result; this method builds models of the set theory.... Forcing's work led to a revitalization of formalism amongst set theorists; the plurality of models forming a suggestion of the essential variability in set theory (DeVidi, et al.... This study demonstrates Gödel's Incompleteness Theorems consist of theorems that hold a lot of mathematical logic.... ödel's Incompleteness Theorems consist of theorems that hold a lot of mathematical logic....
11 Pages (2750 words) Case Study

Using and Applying Mathematics

In this paper, teaching strategies will be presented which promote problem solving and mathematical thinking in the developing children of the United Kingdom. ... Then they proceed to identify the numbers and mathematical processes that will be used and begin their calculations.... art 2: Ideas of teaching strategies to be employed to promote problem solving and mathematical thinking. ... The mere use of models, however, is not adequate enough for many children who are trying solve a word problem....
9 Pages (2250 words) Essay

Mathematical modelling

mathematical models are then analysed to establish mathematical conclusions that are interpreted to predict or explain the real world data.... With the resulting mathematical models, humans can then offer students the knowledge and skills of creating models and determining the extent to which they imitate the real world.... n this report, mathematical models have been used to determine the maximum and minimum heights of two roller coasters.... In this report, the application of mathematical models has involved listing all known variables as a way of identifying the unknown....
3 Pages (750 words) Essay

Critical Analysis of Teaching, Learning, and Assessment for Low Attainers in Both English and Math

This paper "Critical Analysis of Teaching, Learning, and Assessment for Low Attainers in Both English and Math" explores the implication of low performance on teaching, learning, and assessment in English subjects and the role of mathematical models on the learners performing poorly in math.... Secondly, there is the role of mathematical models on the learners who are performing poorly in mathematics subject. ... mages and models: Learning Math for Children ...
14 Pages (3500 words) Literature review

Discussion of the Physical Fire Modeling

The computer fire modeling falls in the category of mathematical models. ... The mathematical models include mathematical equations utilised by investigators to determine how a system will behave in a given situation.... The mathematical models are divided into three: ... here are two major categories of fire modeling which include the physical and mathematical fire modeling.... The author of the paper titled "Discussion of the Physical Fire Modeling" provides general a discussion of the application of computer models for fire investigation, its potential applications, and the limitations in fire and other explosion investigations....
8 Pages (2000 words) Essay

Historical Stages of Computer Development

Although such devices were helpful in counting, mathematical calculators were not fully embraced until the beginning of 1820 when a Frenchman, Charles Xavier Thomas de Colmar came up with an apparatus that could perform with ease the four fundamental arithmetic functions.... In his thought, he figured out the machine to be fuelled by steam and should have a stored program hence performing mathematical calculations and automatically print the results.... This approach was borrowed from the work of George Boole who in the nineteenth century made significant clarifications on the e binary system that characterizes algebra hence any mathematical equations could simply be stated as either true or false....
5 Pages (1250 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.
Contact Us