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.
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2
September 25, 2023
English
English [CC]
Description
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)
Course Curriculum
- Lecture 01 – Mathematical Modeling in Biology Unlimited
- Lecture 02 – How to Start Modeling Unlimited
- Lecture 03 – Modeling the Spread of Infectious Disease Unlimited
- Lecture 04 – Modeling Population Growth Unlimited
- Lecture 05 – Numerical Solution of Ordinary Differential Equation Unlimited
- Lecture 06 – Numerical Solution of Ordinary Differential Equation (cont.) Unlimited
- Lecture 07 – Simulating ODE-based Models: Introduction to JSim Unlimited
- Lecture 08 – Simulating ODE-based Models: Examples of Simulation in JSim Unlimited
- Lecture 09 – Steady State and Stability Analysis: Understanding Steady State Unlimited
- Lecture 10 – Steady State and Stability Analysis: Stability of Steady States Unlimited
- Lecture 11 – Phase Plane Analysis Unlimited
- Lecture 12 – Phase Plane Analysis (cont.) Unlimited
- Lecture 13 – Concepts of Bifurcation: Introduction Unlimited
- Lecture 14 – Concepts of Bifurcation: Bifurcation in Biological Systems Unlimited
- Lecture 15 – Modeling Molecular Processes in Cell: Introduction Unlimited
- Lecture 16 – Modeling Molecular Processes in Cell: Receptor-Ligand Interaction Unlimited
- Lecture 17 – Modeling Molecular Processes in Cell: Enzymatic Processes Unlimited
- Lecture 18 – Modeling Molecular Processes in Cell: Transcription and Translation Unlimited
- Lecture 19 – Modeling Cell Signaling: Negative Feedback Motif Unlimited
- Lecture 20 – Modeling Cell Signaling: Positive Feedback Motif Unlimited
- Lecture 21 – Modeling Cell Signaling: Incoherent Feedforward Motif Unlimited
- Lecture 22 – Modeling Transcriptional Circuits Unlimited
- Lecture 23 – Modeling Transcriptional Circuits (cont.) Unlimited
- Lecture 24 – Online Resources for Mathematical Modeling in Biology Unlimited
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