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Eric Sobie, PhD

An introduction to dynamical modeling techniques used in contemporary Systems Biology research.

We take a case-based approach to teach contemporary mathematical modeling

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An introduction to dynamical modeling techniques used in contemporary Systems Biology research.

We take a case-based approach to teach contemporary mathematical modeling

techniques. The course is appropriate for advanced undergraduates and beginning graduate students. Lectures provide biological background and describe the development of both classical mathematical models and more recent representations of biological processes. The course will be useful for students who plan to use experimental techniques as their approach in the laboratory and employ computational modeling as a tool to draw deeper understanding of experiments. The course should also be valuable as an introductory overview for students planning to conduct original research in modeling biological systems.

This course focuses on dynamical modeling techniques used in Systems Biology research. These techniques are based on biological mechanisms, and simulations with these models generate predictions that can subsequently be tested experimentally. These testable predictions frequently provide novel insight into biological processes. The approaches taught here can be grouped into the following categories: 1) ordinary differential equation-based models, 2) partial differential equation-based models, and 3) stochastic models.

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What's inside

Syllabus

Introduction | Computing with MATLAB
The description goes here
Introduction to Dynamical Systems
Bistability in Biochemical Signaling Models
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Computational Modeling of the Cell Cycle
Modeling Electrical Signaling
Modeling with Partial Differential Equations
Stochastic Modeling

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Students who come in with graduate-level academic training in Systems Biology are best suited to take this course, as it is advanced
Students who hope to use computational modeling as a tool for deeper understanding of experiments are well-suited to take this course
Students who intend to conduct original research in modeling biological systems should take this course
Students interested in an introduction to MATLAB or other programming will not find it here, as this course assumes some comfort with coding
Students who are uncomfortable with math are not well-suited for this course, as it uses concepts from calculus and linear algebra

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Reviews summary

Helpful and practical biology course

Learners say Dynamical Modeling Methods for Systems Biology is a helpful and practical course that offers engaging assignments and clear explanations. Many students comment on the course's excellent material, especially for students interested in molecular biology and computational biology. However, some learners mention that the assignments can be challenging. Overall, students find the course comprehensive and well-organized, with knowledgeable instructors.
Assignments enhance learning
""T​he assignments seemed very tough. Other than that this course was very knowledgeable.""
""Very good course. The first 5 weeks are incredible, the last couple weeks are decidedly of a lower quality with no assignments to accompany the material. ""
""The tests are not easy but I liked the homework style approach. It forces you to understand the subject better than the regular quizzes.""
Straightforward teaching aids learning
""New to systems biology and I am really impressed with the clear explanations.""
""Amazing and clearly explained course that helped me understand all the ODE, PDE, and finally also a little bit of stochatic methods.""
""The content of the course are very straight forward and comprehensive.""
Missing files affect course experience
""I really enjoyed the course. However, project files (*.sboj) were missing from downloads.""

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Dynamical Modeling Methods for Systems Biology with these activities:
Connect with experts in Systems Biology
Seek guidance and support from experienced researchers in the field to enhance your learning.
Browse courses on Systems Biology
Show steps
  • Identify potential mentors through conferences, research papers, or online platforms.
  • Reach out to mentors via email or LinkedIn.
Review requisites: Linear algebra
Reinforce your understanding of linear algebra, which is essential for modeling complex biological systems.
Browse courses on Linear Algebra
Show steps
  • Revisit key concepts such as vector spaces, matrices, and linear transformations.
  • Practice solving systems of linear equations.
  • Review matrix theory, including eigenvalues and eigenvectors.
Explore MATLAB tutorials
Familiarize yourself with MATLAB, a powerful tool for numerical simulations and data analysis in Systems Biology.
Browse courses on MATLAB
Show steps
  • Complete beginner tutorials to understand the MATLAB environment.
  • Follow guided exercises on data manipulation and visualization.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Review probability and statistics
Strengthen your understanding of probability and statistics, which are crucial for analyzing and interpreting biological data.
Browse courses on Probability
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  • Revisit basic concepts of probability distributions.
  • Practice statistical hypothesis testing.
Practice ODE modeling in MATLAB
Enhance your skills in solving and simulating ordinary differential equations using MATLAB.
Browse courses on MATLAB
Show steps
  • Solve simple ODEs analytically.
  • Implement numerical methods (e.g., Euler, Runge-Kutta) in MATLAB.
  • Simulate and analyze ODE models of biological systems.
Discuss modeling approaches with peers
Engage in discussions with classmates to exchange ideas, clarify concepts, and learn from diverse perspectives.
Browse courses on Systems Biology
Show steps
  • Join online forums or study groups.
  • Participate in discussions, asking and answering questions.
Develop a simple cell cycle model
Apply your knowledge to build a computational model that simulates the cell cycle.
Browse courses on Systems Biology
Show steps
  • Understand the key events and phases of the cell cycle.
  • Translate biological mechanisms into mathematical equations.
  • Implement the model in MATLAB and simulate it.
  • Analyze the simulation results and compare them to experimental data.
Participate in modeling challenges
Test your skills and gain recognition by participating in modeling competitions.
Browse courses on Systems Biology
Show steps
  • Identify relevant modeling challenges.
  • Develop and submit a computational model.
  • Analyze and present your results.

Career center

Learners who complete Dynamical Modeling Methods for Systems Biology will develop knowledge and skills that may be useful to these careers:
Systems Biologist
Systems Biologists model complex biological systems using a range of mathematical and computational techniques. A background in dynamical modeling prepares you for this role by providing you with the foundational knowledge of how to approach such problems. Specifically, this course will provide you with hands-on experience developing and analyzing dynamical models of biological systems.
Computational Biologist
Computational Biologists use computational techniques to solve problems in biology. The models and techniques you will learn in this course will provide you with a strong foundation for this field.
Biostatistician
Biostatisticians use statistical methods to analyze data in the biological sciences. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical methods to analyze data in the financial industry. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Actuary
Actuaries use mathematical and statistical methods to assess risk and uncertainty. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Market Researcher
Market Researchers use mathematical and statistical methods to analyze market data. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Data Scientist
Data Scientists use data to solve problems in a variety of fields. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Operations Research Analyst
Operations Research Analysts use mathematical and statistical methods to solve problems in a variety of industries. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Financial Analyst
Financial Analysts use mathematical and statistical methods to analyze financial data. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Bioinformatician
Bioinformaticians use computational methods to analyze biological data. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Public Health Scientist
Public Health Scientists use mathematical and statistical methods to study public health problems. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Epidemiologist
Epidemiologists use mathematical and statistical methods to study the distribution and determinants of health-related states or events in populations. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Research Scientist
Research Scientists use mathematical and statistical methods to conduct research in a variety of fields. The skills you will learn in this course in developing and analyzing mathematical models will be valuable preparation for this career.
Science Writer
Science Writers use writing skills to communicate scientific information to a variety of audiences. The skills you will learn in this course in developing and analyzing mathematical models will help you to understand the technical details of scientific research and to communicate them effectively to your audience.
Teacher
Teachers use a variety of methods to teach students about a variety of subjects. The skills you will learn in this course in developing and analyzing mathematical models will help you to understand the technical details of your subject matter and to communicate them effectively to your students.

Reading list

We've selected seven books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Dynamical Modeling Methods for Systems Biology.
This textbook provides a comprehensive overview of systems biology, covering both the theoretical and practical aspects of the field. It valuable resource for students and researchers who want to learn more about systems biology.
Covers stochastic modeling techniques used in cell biology. Provides insights into the understanding of biological processes that exhibit randomness and uncertainty.
Provides an introduction to stochastic differential equations. Covers the fundamental concepts and applications in biology, making it a useful reference for researchers in systems and computational biology.
Introduces systems biology modeling and simulation. Provides a broad overview of modeling techniques and case studies, making it accessible to students and researchers from various backgrounds.
Provides a foundation in partial differential equations, which are essential for modeling biological systems. Serves as a good reference for students and researchers interested in modeling with PDEs.
Provides an introduction to mathematical modeling in systems biology, covering the basic concepts and techniques that are used in the field. It valuable resource for students and researchers who want to learn more about mathematical modeling in systems biology.

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