**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.

Intended audience:

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

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:**

**Course
Layout:**

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.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