Biomathematics MCQs

By: Prof. Dr. Fazal Rehman Shamil | 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


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


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


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


Q5: The basic reproductive number,

R0R_0

, 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


Q6: In the context of the logistic growth equation,

dNdt=rN(1NK)\frac{dN}{dt} = rN(1 – \frac{N}{K})

N), what does

KK

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


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


Q8: In an enzyme kinetics model, the Michaelis-Menten constant

KmK_m

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


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


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