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Introduction to Dynamical Models in Biology

Introduction to Dynamical Models in Biology. Instructor: Dr. Biplab Bose, Department of Biosciences and Bioengineering, IIT Guwahati. Mathematical modeling has become an integral part of different fields of biology, from ecology to cell biology. This course will introduce students of biology to elementary mathematical concepts and tools for dynamical models. The course will focus on modeling using ordinary differential equations (ODEs). We will start with basic mathematical concepts of ODE-based models and then connect those with experimental biology. Mathematical models will be on cellular and molecular processes in biology, like cell signaling, and transcriptional networks. Students will learn basics of analytical techniques, graphical techniques, and numerical simulation. (from nptel.ac.in)

Mathematical Modeling in Biology


Lecture 01 - Mathematical Modeling in Biology
Lecture 02 - How to Start Modeling
Lecture 03 - Modeling the Spread of Infectious Disease
Lecture 04 - Modeling Population Growth
Lecture 05 - Numerical Solution of Ordinary Differential Equation
Lecture 06 - Numerical Solution of Ordinary Differential Equation (cont.)
Lecture 07 - Simulating ODE-based Models: Introduction to JSim
Lecture 08 - Simulating ODE-based Models: Examples of Simulation in JSim
Lecture 09 - Steady State and Stability Analysis: Understanding Steady State
Lecture 10 - Steady State and Stability Analysis: Stability of Steady States
Lecture 11 - Phase Plane Analysis
Lecture 12 - Phase Plane Analysis (cont.)
Lecture 13 - Concepts of Bifurcation: Introduction
Lecture 14 - Concepts of Bifurcation: Bifurcation in Biological Systems
Lecture 15 - Modeling Molecular Processes in Cell: Introduction
Lecture 16 - Modeling Molecular Processes in Cell: Receptor-Ligand Interaction
Lecture 17 - Modeling Molecular Processes in Cell: Enzymatic Processes
Lecture 18 - Modeling Molecular Processes in Cell: Transcription and Translation
Lecture 19 - Modeling Cell Signaling: Negative Feedback Motif
Lecture 20 - Modeling Cell Signaling: Positive Feedback Motif
Lecture 21 - Modeling Cell Signaling: Incoherent Feedforward Motif
Lecture 22 - Modeling Transcriptional Circuits
Lecture 23 - Modeling Transcriptional Circuits (cont.)
Lecture 24 - Online Resources for Mathematical Modeling in Biology

References
Introduction to Dynamical Models in Biology
Instructor: Dr. Biplab Bose, Department of Biosciences and Bioengineering, IIT Guwahati. This course will introduce students of biology to elementary mathematical concepts and tools for dynamical models.