Mathematics in Medicine, Life Science, and Operations Research

Flashcards about Mathematics in Medicine, Life Science, and Operations Research

What are some examples of natural structures that can be modeled using mathematics in medicine and life science?

Blood vessels, lungs, and nerve networks.

What equations explain animal patterns, according to the lecture?

Reaction-Diffusion Equations (RDEs)

In Turing's Reaction-Diffusion model, what does the activator do?

It stimulates the production of both substances.

In Turing's Reaction-Diffusion model, what does the inhibitor do?

It slows down production.

What is NetLogo software?

A computer program that uses mathematics to simulate real-life behaviors.

What is the purpose of the 'Disease' Hubnet activity in NetLogo?

To simulate the spread of a disease through a population.

In the 'Disease' model, what does the SETUP/CLEAR button do?

Setup world and clear plots.

In the 'Disease' model, what does 'INFECTION-CHANCE' control?

Chance for a healthy agent to get sick each time step.

In the 'Disease' model, what does the 'AVOID?' switch do?

Healthy androids move away from infected agents.

In the 'Disease' model, what does the 'CHASE?' switch do?

Infected androids chase healthy agents.

In the 'Disease' model, what does the 'NUMBER SICK' monitor show?

Shows how many agents are currently sick.

In the 'Disease' model, what does the 'NUMBER SICK' plot display?

A graph of the number of sick agents over time.

What is the purpose of the 'Sheep-wolves-grass' model in NetLogo?

To simulate predator-prey relationships.

What is Operations Research (OR)?

A multidisciplinary field that combines mathematics, economics, computer science, engineering, and psychology to help decision-makers choose the best course of action in complex scenarios.

What contribution did Frederick Taylor make to Operations Research?

Time studies to analyze work performance.

What contribution did Henry Gantt make to Operations Research?

Scientific scheduling systems to minimize production delays.

What contribution did Ford Harris make to Operations Research?

Mathematical models for inventory control.

What are the results of mathematical optimization in Operations Research?

Resource allocation, cost reduction, and overall efficiency improvement.

What are the steps of Process of Operations Research?

Problem Identification, Mathematical Formulation, Solution Development, Interpretation, Validation, and Implementation.

In what areas Operations Research has practical applications?

Business Logistics, Military and National Defense, Healthcare, Political Science, Conflict Resolution, and Search and Rescue Operations.