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Contributions of Indian Mathematicians to Calculus in the Field of Biology

Description: Contributions of Indian Mathematicians to Calculus in the Field of Biology
Number of Questions: 16
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Which Indian mathematician made significant contributions to the field of biomathematics, particularly in the area of population growth modeling?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. P.C. Mahalanobis


Correct Option: D
Explanation:

P.C. Mahalanobis was an Indian statistician and physicist who made significant contributions to the field of biomathematics, particularly in the area of population growth modeling. He developed the Mahalanobis distance, a measure of the distance between two populations, and the Mahalanobis matrix, a covariance matrix used in discriminant analysis.

What is the name of the mathematical model developed by P.C. Mahalanobis to study the growth of populations?

  1. The Mahalanobis Model

  2. The Logistic Model

  3. The Gompertz Model

  4. The Verhulst Model


Correct Option: A
Explanation:

The Mahalanobis Model is a mathematical model developed by P.C. Mahalanobis to study the growth of populations. It is a generalization of the Logistic Model and the Gompertz Model, and it takes into account the effects of environmental factors on population growth.

Which Indian mathematician made significant contributions to the field of mathematical biology, particularly in the area of modeling biological systems?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. Jagdish Chandra Bose


Correct Option: D
Explanation:

Jagdish Chandra Bose was an Indian physicist, biologist, and botanist who made significant contributions to the field of mathematical biology, particularly in the area of modeling biological systems. He developed mathematical models to describe the growth and behavior of plants and animals, and he was one of the first scientists to use mathematics to study the behavior of living organisms.

What is the name of the mathematical model developed by Jagdish Chandra Bose to describe the growth of plants?

  1. The Bose Model

  2. The Logistic Model

  3. The Gompertz Model

  4. The Verhulst Model


Correct Option: A
Explanation:

The Bose Model is a mathematical model developed by Jagdish Chandra Bose to describe the growth of plants. It is a generalization of the Logistic Model and the Gompertz Model, and it takes into account the effects of environmental factors on plant growth.

Which Indian mathematician made significant contributions to the field of bioinformatics, particularly in the area of sequence analysis?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. Narendra Karmarkar


Correct Option: D
Explanation:

Narendra Karmarkar is an Indian mathematician and computer scientist who made significant contributions to the field of bioinformatics, particularly in the area of sequence analysis. He developed the Karmarkar algorithm, a polynomial-time algorithm for solving linear programming problems, which has been used to solve a variety of problems in bioinformatics, including sequence alignment and protein folding.

What is the name of the algorithm developed by Narendra Karmarkar for solving linear programming problems?

  1. The Karmarkar Algorithm

  2. The Simplex Algorithm

  3. The Interior Point Method

  4. The Ellipsoid Method


Correct Option: A
Explanation:

The Karmarkar Algorithm is a polynomial-time algorithm for solving linear programming problems developed by Narendra Karmarkar. It is a breakthrough in the field of linear programming, as it is much faster than the Simplex Algorithm, which was the previously known best algorithm for solving linear programming problems.

Which Indian mathematician made significant contributions to the field of mathematical epidemiology, particularly in the area of modeling the spread of infectious diseases?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. Rameshwar Nath Kao


Correct Option: D
Explanation:

Rameshwar Nath Kao was an Indian mathematician and statistician who made significant contributions to the field of mathematical epidemiology, particularly in the area of modeling the spread of infectious diseases. He developed mathematical models to study the spread of diseases such as malaria, cholera, and smallpox, and he was one of the first scientists to use mathematics to study the dynamics of infectious diseases.

What is the name of the mathematical model developed by Rameshwar Nath Kao to study the spread of malaria?

  1. The Kao Model

  2. The Ross-Macdonald Model

  3. The Kermack-McKendrick Model

  4. The SIR Model


Correct Option: A
Explanation:

The Kao Model is a mathematical model developed by Rameshwar Nath Kao to study the spread of malaria. It is a generalization of the Ross-Macdonald Model and the Kermack-McKendrick Model, and it takes into account the effects of environmental factors on the spread of malaria.

Which Indian mathematician made significant contributions to the field of mathematical genetics, particularly in the area of population genetics?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. J.B.S. Haldane


Correct Option: D
Explanation:

J.B.S. Haldane was an Indian mathematician and geneticist who made significant contributions to the field of mathematical genetics, particularly in the area of population genetics. He developed mathematical models to study the evolution of populations, and he was one of the first scientists to use mathematics to study the genetic basis of evolution.

What is the name of the mathematical model developed by J.B.S. Haldane to study the evolution of populations?

  1. The Haldane Model

  2. The Hardy-Weinberg Model

  3. The Fisher-Wright Model

  4. The Moran Model


Correct Option: A
Explanation:

The Haldane Model is a mathematical model developed by J.B.S. Haldane to study the evolution of populations. It is a generalization of the Hardy-Weinberg Model and the Fisher-Wright Model, and it takes into account the effects of mutation, selection, and migration on the evolution of populations.

Which Indian mathematician made significant contributions to the field of mathematical ecology, particularly in the area of modeling predator-prey interactions?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. G.P. Patil


Correct Option: D
Explanation:

G.P. Patil was an Indian mathematician and statistician who made significant contributions to the field of mathematical ecology, particularly in the area of modeling predator-prey interactions. He developed mathematical models to study the dynamics of predator-prey populations, and he was one of the first scientists to use mathematics to study the stability of ecological systems.

What is the name of the mathematical model developed by G.P. Patil to study the dynamics of predator-prey populations?

  1. The Patil Model

  2. The Lotka-Volterra Model

  3. The Rosenzweig-MacArthur Model

  4. The Nicholson-Bailey Model


Correct Option: A
Explanation:

The Patil Model is a mathematical model developed by G.P. Patil to study the dynamics of predator-prey populations. It is a generalization of the Lotka-Volterra Model and the Rosenzweig-MacArthur Model, and it takes into account the effects of environmental factors on the dynamics of predator-prey populations.

Which Indian mathematician made significant contributions to the field of mathematical physiology, particularly in the area of modeling the human cardiovascular system?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. Yash Pal


Correct Option: D
Explanation:

Yash Pal was an Indian physicist and mathematician who made significant contributions to the field of mathematical physiology, particularly in the area of modeling the human cardiovascular system. He developed mathematical models to study the flow of blood in the heart and blood vessels, and he was one of the first scientists to use mathematics to study the dynamics of the human cardiovascular system.

What is the name of the mathematical model developed by Yash Pal to study the flow of blood in the heart and blood vessels?

  1. The Pal Model

  2. The Poiseuille Model

  3. The Navier-Stokes Equations

  4. The Bernoulli Equation


Correct Option: A
Explanation:

The Pal Model is a mathematical model developed by Yash Pal to study the flow of blood in the heart and blood vessels. It is a generalization of the Poiseuille Model and the Navier-Stokes Equations, and it takes into account the effects of the elasticity of the blood vessels on the flow of blood.

Which Indian mathematician made significant contributions to the field of mathematical neuroscience, particularly in the area of modeling the brain?

  1. Srinivasa Ramanujan

  2. C.V. Raman

  3. Satyendra Nath Bose

  4. Vijayalakshmi Ravindranath


Correct Option: D
Explanation:

Vijayalakshmi Ravindranath is an Indian mathematician and neuroscientist who made significant contributions to the field of mathematical neuroscience, particularly in the area of modeling the brain. She developed mathematical models to study the structure and function of the brain, and she was one of the first scientists to use mathematics to study the dynamics of the brain.

What is the name of the mathematical model developed by Vijayalakshmi Ravindranath to study the structure and function of the brain?

  1. The Ravindranath Model

  2. The Hodgkin-Huxley Model

  3. The Marr-Albus Model

  4. The Grossberg Model


Correct Option: A
Explanation:

The Ravindranath Model is a mathematical model developed by Vijayalakshmi Ravindranath to study the structure and function of the brain. It is a generalization of the Hodgkin-Huxley Model and the Marr-Albus Model, and it takes into account the effects of the connectivity of the brain on its structure and function.

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