Biomathematics MCQs

By: Prof. Dr. Fazal Rehman | Last updated: November 25, 2024

Q1: The Lotka-Volterra model is used to describe:

• (A) Population dynamics of two species
• (B) Genetic inheritance
• (C) Enzyme kinetics
• (D) Fluid dynamics in biological systems

Answer: (A) Population dynamics of two species

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Q2: The logistic growth model is used to describe:

• (A) Growth of a population with unlimited resources
• (B) Growth of a population with limited resources
• (C) Growth of a population with no competition
• (D) Growth of a single species in a non-competitive environment

Answer: (B) Growth of a population with limited resources

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Q3: In the SIR model for infectious disease spread, what do the variables represent?

• (A) Susceptible, Infected, Recovered
• (B) Susceptible, Immune, Recovered
• (C) Sick, Immune, Resistant
• (D) Susceptible, Infected, Resistant

Answer: (A) Susceptible, Infected, Recovered

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Q4: In a predator-prey model, the term “functional response” refers to:

• (A) The rate at which predators find prey
• (B) The rate of reproduction of prey
• (C) The change in predator population due to prey availability
• (D) The response of prey to environmental factors

Answer: (C) The change in predator population due to prey availability

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Q5: The basic reproductive number, $R_0$ R0​, in an epidemiological model indicates:

• (A) The average number of secondary infections caused by one infected individual in a susceptible population
• (B) The maximum number of infections that can occur in a population
• (C) The rate of transmission of an infection
• (D) The number of infected individuals in a population at equilibrium

Answer: (A) The average number of secondary infections caused by one infected individual in a susceptible population

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Q6: In the context of the logistic growth equation, $\frac{dN}{dt} = rN(1 – \frac{N}{K})$ dtdN​=rN(1−KN​), what does $K$ K represent?

• (A) The rate of reproduction
• (B) The carrying capacity of the environment
• (C) The initial population size
• (D) The rate of death in the population

Answer: (B) The carrying capacity of the environment

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Q7: In a compartmental model of infectious disease, which compartment is typically modeled by a differential equation for the rate of change?

• (A) Recovered
• (B) Susceptible
• (C) Infected
• (D) All of the above

Answer: (D) All of the above

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Q8: In an enzyme kinetics model, the Michaelis-Menten constant $K_m$ Km​ is:

• (A) The maximum rate of reaction
• (B) The concentration of substrate at half-maximum velocity
• (C) The rate constant of the forward reaction
• (D) The concentration of enzyme at half-maximum velocity

Answer: (B) The concentration of substrate at half-maximum velocity

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Q9: In the human body, the spread of diseases like COVID-19 can be modeled by:

• (A) The predator-prey model
• (B) The SIR model
• (C) The logistic growth model
• (D) The competition model

Answer: (B) The SIR model

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Q10: In mathematical biology, a model that includes both the growth of a population and the competition for resources is called:

• (A) A predator-prey model
• (B) A logistic growth model
• (C) A competitive exclusion model
• (D) A cooperative growth model

Answer: (C) A competitive exclusion model