Introduction to Dynamical Models in Biology

Introduction to Dynamical Models in Biology by Indian Institute of Technology Guwahati

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Created by Guwahati Staff Last updated Sat, 12-Mar-2022 English


Introduction to Dynamical Models in Biology free videos and free material uploaded by Indian Institute of Technology, Guwahati (IIT Guwahati). This session contains about Introduction to Dynamical Models in Biology Updated syllabus , Lecture notes , videos , MCQ , Privious Question papers and Toppers Training Provided Training of this course. If Material not uploaded check another subject

Syllabus / What will i learn?

Week 1 :

L1: Introduction to mathematical modeling in biology

L2: How to start modeling?

L3: Basic concepts of modeling using ODEs: Modeling the spread of infectious disease

L4: Basic concepts of modeling using ODEs: Modeling population growth

L5: Numerical solution of ODE-based models - I

L6: Numerical solution of ODE-based models - II

Week 2 :

L1: Simulating ODE-based models: Introduction to JSim

L2: Simulating ODE-based models: Examples of simulation in JSim

L3: Steady state and stability analysis: Understanding steady state

L4: Steady state and stability analysis: Stability of steady states

L5: Phase plane analysis - I

L6: Phase plane analysis - II

Week 3 :

L1: Concepts of bifurcation

L2: Bifurcation in Biological systems

L3: Modeling molecular processes in cell

L4: Modeling molecular processes-I: Ligand-receptor binding

L5: Modeling molecular processes-II: Enzymatic reaction

L6: Modeling molecular processes-III: Transcription and translation

Week 4 :

L1: Modeling a signal transduction circuit: Negative feedback

L2: Modeling a signal transduction circuit: Positive feedback

L3: Modeling a signal transduction circuit: Incoherent feedforward

L4: Modeling transcriptional circuits – I

L5: Modeling transcriptional circuits - II

L6: Online resources for mathematical modeling in biology



Curriculum for this course
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Description
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.

INTENDED AUDIENCE: Students of Biotechnology, Biology, Mathematical Biology, and allied subjects.

PREREQUISITES: Must have studied Mathematics at 10+2 level. Have studied graduate-level Biochemistry and Molecular Biology. Knowledge of Computer Programming will be helpful but not a necessity.

INDUSTRY SUPPORT: Bio-pharma industries use cellular level as well organism level mathematical models. This course would help to initiate biologists to such modeling.


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