Biomathematics. Instructor: Dr. Ranjith Padinhateeri, Department of Biotechnology, IIT Bombay.

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September 25, 2023

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September 25, 2023

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FREE

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Description

Biomathematics. Instructor: Dr. Ranjith Padinhateeri, Department of Biotechnology, IIT Bombay.

This course deals with various mathematical methods used in life sciences. Topics covered in this course include Graphs and functions, Derivative of a function, Techniques of differentiation, Differentiation and its application in Biology, Finding maxima and minima, Plotting functions, Integrals, Techniques of Integration, Scalars and vectors, Differential equations, Nernst equation, Diffusion equation, Mean-square displacement, Einstein relation, Probability and Statistics, Distribution functions, Uniform distribution, Poisson distributions, Fitting a function to experimental data, Fourier series, Fourier transform, Discussion of the use of Fourier transformation in X-ray crystallography, Statistical thermodynamics, Flexible proteins - size and conformations, Polymerization dynamics, Molecular motor motion, Bending and looping of DNA, and Protein organization along DNA. (from nptel.ac.in)

Course Curriculum

    • Lecture 01 – Introduction Unlimited
    • Lecture 02 – Graphs and Functions Unlimited
    • Lecture 03 – Graphs and Functions (cont.) Unlimited
    • Lecture 04 – Functions and its Derivatives Unlimited
    • Lecture 05 – Calculation of Derivatives Unlimited
    • Lecture 06 – Differentiation and its Application in Biology I Unlimited
    • Lecture 07 – Differentiation and its Application in Biology II Unlimited
    • Lecture 08 – Differentiation and its Application in Biology III Unlimited
    • Lecture 09 – Differentiation and its Application in Biology IV Unlimited
    • Lecture 10 – Integration Unlimited
    • Lecture 11 – Integration (cont.) Unlimited
    • Lecture 12 – Differential Equations Unlimited
    • Lecture 13 – Differential Equations (cont.) Unlimited
    • Lecture 14 – Vectors I Unlimited
    • Lecture 15 – Vectors II Unlimited
    • Lecture 16 – Vectors III Unlimited
    • Lecture 17 – Nernst Equation Unlimited
    • Lecture 18 – Diffusion: Diffusion Equation Unlimited
    • Lecture 19 – Diffusion: Mean-Square Displacement Unlimited
    • Lecture 20 – Diffusion: Einstein Relation Unlimited
    • Lecture 21 – Statistics: Mean and Variance Unlimited
    • Lecture 22 – Statistics: Distribution Function Unlimited
    • Lecture 23 – Understanding Normal Distribution Unlimited
    • Lecture 24 – Fitting a Function to Experimental Data Unlimited
    • Lecture 25 – Size of a Flexible Protein: Simplest Model Unlimited
    • Lecture 26 – Uniform and Poisson Distributions; Knudson’s Analysis Unlimited
    • Lecture 27 – Fourier Series Unlimited
    • Lecture 28 – Fourier Series (cont.) Unlimited
    • Lecture 29 – Fourier Transform Unlimited
    • Lecture 30 – Master Equation: Polymerization Dynamics, Molecular Motor Motion Unlimited
    • Lecture 31 – Evolution: Simplest Model Unlimited
    • Lecture 32 – Tutorials Unlimited
    • Lecture 33 – Tutorials (cont.) Unlimited
    • Lecture 34 – Temperature, Energy and Entropy Unlimited
    • Lecture 35 – Partition Function, Free Energy Unlimited
    • Lecture 36 – Bending Fluctuations of DNA and Spring-like Proteins Unlimited
    • Lecture 37 – Force-extension and Looping of DNA Unlimited
    • Lecture 38 – Thermodynamics of Protein Organization along DNA Unlimited
    • Lecture 39 – Learning Mathematics with the Help of a Computer Unlimited

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