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Biomathematics
by Dr Ranjith Padinhateeri

Biomathematics is the use of mathematical models to help understand phenomena in biology. Dynamic models are a way to put the pieces back together, with equations that represent the system’s components, processes, and the structure of their interactions....

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About This Course

Biomathematics is the use of mathematical models to help understand phenomena in biology. Dynamic models are a way to put the pieces back together, with equations that represent the system’s components, processes, and the structure of their interactions....

Course Curriculum
9 Sections | 39 Lecture | 33h 49min total length
Expand all sections
Biomathematics

Calculus

| 09h 36min total length
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    L1-Introduction

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    L2-Graphs and functions - I

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    L3-Graphs and functions - II

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    L4-Functions and derivatives

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    L5-Calculation of derivatives

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    L6-Differentiation and its application in Biology - I

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    L7-Differentiation and its application in Biology - II

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    L8-Differentiation and its application in Biology - III

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    L9-Differentiation and its application in Biology - IV

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    L10-Integration - I

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    L11-Integration - II

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Biomathematics

Differential Equations

| 01h 42min total length
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    L12-Differential equations-I

    50m <?php echo $alt; ?>
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    L13-Differential equations - II

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Biomathematics

Vectors

| 02h 34min total length
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    L14-Vectors - I

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    L15-Vectors - II

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    L16-Vectors - III

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Biomathematics

Applications of calculus and vector algebra in biology

| 03h 32min total length
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    L17-Nernst equation

    53m <?php echo $alt; ?>
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    L18-Diffusion-I : Diffusion equation

    55m <?php echo $alt; ?>
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    L19-Diffusion - II: Mean-square displacement

    53m <?php echo $alt; ?>
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    L20-Diffusion-III : Einsteins relation

    50m <?php echo $alt; ?>
Biomathematics

Probability and statistics in Biologysics

| 05h 12min total length
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    L21-Statistics : Mean and variance

    52m <?php echo $alt; ?>
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    L22-Statistics: Distribution function

    52m <?php echo $alt; ?>
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    L23-Understanding Normal distribution

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    L24-Fitting a function to experimental data

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    L25-Size of a flexible protein: Simplest model

    52m <?php echo $alt; ?>
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    L26-Uniform and Poisson distributions; Knudsons analysis

    51m <?php echo $alt; ?>
Biomathematics

Fourier series and Fourier transform

| 02h 37min total length
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    L27-Fourier Series-I

    55m <?php echo $alt; ?>
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    L28-Fourier Series-II

    50m <?php echo $alt; ?>
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    L29-Fourier transform

    50m <?php echo $alt; ?>
Biomathematics

Mathematical models in biology

| 01h 45min total length
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    L30-Master equation: Polymerization dynamics, Molecular motor motion

    52m <?php echo $alt; ?>
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    L31-Evolution: Simplest model

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Biomathematics

Tutorials

| 01h 41min total length
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    L32-Tutorial - I

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    L33-Tutorial-II

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Biomathematics

Statistical thermodynamics of biological systems

| 05h 07min total length
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    L34-Temperature, Energy and Entropy

    52m <?php echo $alt; ?>
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    L35-Partition function, Free energy

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    L36-Bending fluctuations of DNA and spring-like proteins

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    L37-Force-extension and looping of DNA

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    L38-Thermodynamics of protein organization along DNA

    53m <?php echo $alt; ?>
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    L39-Learning mathematics with the help of a computer

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show 6 more sections
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