CM1008_L_Williams assessment
pptx
keyboard_arrow_up
School
Walden University *
*We aren’t endorsed by this school
Course
1040
Subject
Mathematics
Date
Jan 9, 2024
Type
pptx
Pages
13
Uploaded by MinisterRiverOstrich25
Healthcare Administratio
n
Latricia Williams
CM 1008-Application of Mathematical Concepts
Professor- Dr. Allen
Introducti
on
This presentation will discuss how mathematics are applied in healthcare. This presentation will also focus on how three mathematical concepts are used in Healthcare Administration. The mathematical concepts that will be discussed are linear inequalities & non-linear functions, consumer mathematics, and statistics.
Math As It Applies to Healthcar
e
Mathematics plays a crucial role in healthcare administration, ensuring efficiency, accuracy, and safety in various aspects of healthcare delivery. Doctors and pharmacists use math to correctly calculate and prescribe medication dosages. Correctly calculating and prescribing medication dosages results in prevents and reduces social dilemmas within patient communities.
In a study regarding antibiotic prescriptions, doctors faced the issue of overprescribing antibiotics and how it contributed to social dilemmas that put patients at risk of health deterioration. In determining the effects of doctors overprescribing antibiotics, mathematical models that consisted of articles from four different databases that performed studies to reflect the results overprescribing of these medications to patients. "Mathematical models confirmed that this problem has the incentive structure of a social dilemma (Krockow et al., 2022)."
Medical staff also use mathematics to analyze data from medical tests such as blood counts. Nurses need math skills to calculate the flow rate and amount of medication to put in an IV. Public health educators conduct studies and use statistics to educate the public about community health issues, such as the correlation between smoking and lung disease.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Math As It Applies to Healthcar
e
Mathematics serves in an important role in the establishment of healthcare facilities and how they can operate efficiently. Mathematics can help to determine where healthcare facilities should be located and what the needs are of those in a particular area. Data and statistics taken from a geographical area that is a possible site for a new facility can provide results that can show if a facility would successfully sustain in its location. A systematic approach, therefore, can help to identify priority areas for primary healthcare facility projects and avoid costly mistakes (Dudko et al., 2018).
According to Australian Journal of Primary Health (2018), "Geographic Information Systems have become an invaluable tool in many industries as it can help to conceptualise available data and answer questions visually. The software allows for integration of key statistics and geographic data for a more detailed analysis. The objective of this study was to show how mathematically weighted, publicly available, relevant demographics data can be integrated with Geographic Information Systems to identify and rank potential locations for new primary healthcare facilities."
Mathemati
cs As It Applies
to Healthcar
e
Mathematics can impact how care is provided when there is a public crisis. Healthcare workers are often faced with making ethical decisions to provide care. These decisions can include deciding who gets access to limited care resources or determining how to approach treatment options during a crisis. Healthcare providers use mathematical models to determine how a crisis occurs, who is affected, and how to access the impact of the crisis. In 2018, a study was produced to show the potential impact of limited public health resources on the spread and control of typhoid and how the use of a mathematical model helped determine the results. The study used a mathematical formula, the typhoid model to determine the results of the impact.
According to The Journal of Mathematical Biology (2018),
"The typhoid model classifies the human population at time t, denoted by N(t) into five classes; susceptible individuals (S), infected individuals (I), carrier humans (C), individuals under treatment (T ) and recovered individuals (R). The total human population is thus given by N(t) = S(t) + I(t) + C(t) + T (t) + R(t)."
The Relation of Quadratic Pass Method
in
Healthcare Administrati
on
The use of the quadratic pass method is highly utilized in healthcare administration. This method used daily in areas of scheduling the work- flow of the day. Listing daily tasks by importance can reflect effective time-
management practices.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
The Relation of Consumer Mathematic
s
in
Healthcare Administrati
on
•
The use of consumer mathematics are often used in creating budgets to help the facility operate efficiently. The budget reflects the revenue and spending of the facility. It will determine how the facility is operating financially.
The Relation of Statistics in
Healthcare Administrati
on
The use of statistics are often seen when data is being collected to determine if the needs of the patients served are being met by the facility. Statistics are used to determine if quality care is being provided.
Quadratic Pass Method Example
In my career as a Healthcare Administrator, I plan to use basic math when scheduling my daily tasks each day. In scheduling my tasks, I plan to utilize the quadratic pass method. Using the quadratic pass method, I can list tasks for the day and rank them in order of importance.
For example, if I have a total of 8 tasks, 8^2 or 64 times longer would be how long it would take to do those task if I did them in chronological order.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Consumer Mathemati
cs Example
In my career as a Healthcare Administrator, I plan to use consumer mathematics when determining if the facility can purchase a company vehicle for a nurse to do home visits. This is done by creating a budget that will show what the practice can afford to take on financially. In this scenario, the budget for a loan for a company vehicle is $40,000.
An example of consumer mathematics in this scenario would be to consider a loan $26,999 at the rate of 8.7% for 48 months or 4 years. I=Prt
($26,999) (0.087) (4)
Principal Rate Time
($26,999)*(0.087)*(4)=$9,395.66 (Interest)
$26,999 + $9,395.66= total cost of $36,394.66
Total cost of $36,394.66 ÷ 48 months=$758.22 per monthly payment
Statistics Example
In my career as a Healthcare Administrator, I plan to use Statistics to determine what services are most utilized by our facility.
For example, the facility provides nursing care to 100 patients. Of the 100 patients, 40 have Diabetes. I would like to know how many patients based on their age group may require insulin medication management. To determine this, I would use grouped frequency distribution:
Ages Patients with Diabetes Requires Insulin Management
30-40 8 3
41-50 10 8
51-60 7 7
61-70 15 15
The number of patients that may require insulin management increases in the oldest age category.
Healthcare Administrati
on & Accounting
Mathematics could be used more meaningfully in healthcare administration if those in this career has a background in Accounting. In healthcare administration, making sure the business aspects of the practice are accurate can be of second nature for someone well versed in accounting. The use of numbers in healthcare governance and management can no doubt bring considerable benefits in terms of improved planning and care delivery (Levay et al., 2020). Numeracy is the ability to understand and work with numbers (Merriam-Webster, 2023). Accountants possess this ability to perform mathematical tasks. Utilizing numeracy in healthcare administration can help deliver better health outcomes. This concept can be used in healthcare administration more meaningfully by providing charts, graphs, and other research tools to show how math influences healthcare to give patients and clinicians a foundation of how to provide and improve quality care. Increasing amounts of health information are being made available to the public, with the expectation that people can use it to reduce their risks and make better medical decisions (Reyna et al., 2009).
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Reference
s
•
Krockow, E. M., Tarrant, C., & Colman, A. M. (2022). Prosociality in the social dilemma of antibiotic prescribing.
Current Opinion in Psychology, 44, 164-169.
•
Dudko, Y., Robey, D. E., Kruger, E., & Tennant, M. (2018). Selecting a location for a primary healthcare facility: combining a mathematical approach with a Geographic Information System to rank areas of relative need.
Australian Journal of Primary Health, 24(2), 130–134. https://doi.org/10.1071/PY17093
•
Mushanyu, J., Nyabadza, F., Muchatibaya, G., Mafuta, P., & Nhawu, G. (2018). Assessing the potential impact of limited public health resources on the spread and control of typhoid.
JOURNAL OF MATHEMATICAL BIOLOGY, 77(3), 647–670. https://doi.org/10.1007/s00285-018-1219-9
•
Blitzer, R. (2019). Thinking mathematically (7th ed.). Pearson.
•
Levay, C., Jönsson, J., Huzzard, T. (2020). Quantified control in healthcare work: suggestions for future research, financial accountability & management
, 10.1111/faam.12242, 36, 4, (461-478). •
Merriam-Webster, Incorparated. (2023). Numeracy definition. https://www.merriam-webster.com/dictionary/numeracy
•
Reyna, V. F., Nelson, W. L., Han, P. K., & Dieckmann, N. F. (2009). How numeracy influences risk comprehension and medical decision making
. Psychological bulletin, 135(6), 943–973. https://doi.org/10.1037/a0017327