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Courses » Introduction to Dynamical Models in Biology

Introduction to Dynamical Models in Biology

About the course:

Mathematical modeling has become integral part of different fields of biology, from ecology to cell biology. This course is intended to 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. 

Intended audience
:
Students of Biotechnology, Biology and allied subjects.


Pre-requisites:
Have studied mathematics at 10+2 level. Have studied graduate level Biochemistry and molecular biology.

Industries that will recognize this course:
Bio-pharma industries use cellular level as well organism level mathematical models. This course would help to initiate biologists to such modeling.

About the course instructor:



Dr. Biplab Bose, is an Associate Professor, in the Department of Biosciences and Bioengineering at IIT Gwuahati. He has developed an elective course on Systems Biology and has taught this course, for last eight years, to B. Tech, M. Tech and Ph. D students at IIT Guwahati. He is interested in understating the design principles in molecular communication in cells. His research group at IIT Guwahati works on molecular network motifs, cellular information processing, and non-genetic heterogeneity.

Course Layout:

Week 1:
Lecture 1: Introduction to mathematical modeling in biology
Lecture 2: How to start modeling?
Lecture 3 & 4: Basic concepts of modeling using ordinary differential equations
Lecture 5 & 6: Numerical solution of ODE-based models 


Week 2
Lecture 1 & 2: Simulating ODE-based models
Lecture 3 & 4: Steady state and stability analysis
Lecture 5 & 6: Phase plane analysis


Week 3:
Lecture 1 & 2: Concepts of bifurcation
Lecture 3 - 6: Mathematical formulations for elementary molecular processes


Week 4
Lecture 1 & 2: Modeling cell signaling
Lecture 3: Properties of feedback and feed-forward network motifs
Lecture 4 & 5: Modeling transcriptional circuits
Lecture 6: Online resources for mathematical modeling in biology


Suggested reading:

1. Mathematical Modeling in Systems Biology: An Introduction, Brian P. Ingalls, MIT Press, 2013
2. Modeling the Dynamics of Life: Calculus and Probability for Life Scientists, Frederick R. Adler, Brooks/Cole, 2012
3. Biocalculus: Calculus for Life Sciences, James Stewart, Troy Day, Cengage Learning, 2015

Certification Exam:

Dates of exams: 26 March 2017 
Time: Shift1 : 9am-12 noon;Shift 2: 2pm- 5pm
Any one shift can be chosen to write the exam for a course.
The list of cities where the exam will be conducted will be available in the registration form.
Registration url: Announcements will be made when the registration form is open for registrations. 
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.


Certificate:

Final score will be calculated as : 25% assignment score + 75% final exam score
25% assignment score is calculated as 25% of average of best 3 out of 4 assignments

E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and IIT Guwahati. It will be e-verifiable at nptel.ac.in/noc