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Neuronal Dynamics

This course gives an introduction to the field of theoretical and computational neuroscience with a focus on models of single neurons. Neurons encode information about stimuli in a sequence of short electrical pulses (spikes). Students will learn how mathematical tools such as differential equations, phase plane analysis, separation of time scales, and stochastic processes can be used to understand the dynamics of neurons and the neural code.

Week 1: A first simple neuron model

Week 2: Hodgkin-Huxley models and biophysical modeling

Week 3: Two-dimensional models and phase plane analysis

Week 1: A first simple neuron model

Week 2: Hodgkin-Huxley models and biophysical modeling

Week 3: Two-dimensional models and phase plane analysis

Week 4: Two-dimensional models (cont.)/ Dendrites

Week 5: Variability of spike trains and the neural code

Week 6: Noise models, noisy neurons and coding

Week 7: Estimating neuron models for coding and decoding

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What's inside

Learning objective

How mathematical tools such as differential equations, phase plane analysis, separation of time scales, and stochastic processes can be used to understand the dynamics of neurons and the neural code

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Develops a strong foundation in theoretical and computational neuroscience for learners with no background in the subject

Strengthens an existing foundation for intermediate learners wanting to develop their understanding of theoretical and computational neuroscience

Suitable for learners with a strong mathematical background, including differential equations, phase plane analysis, separation of time scales, and stochastic processes

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Reviews summary

Neuronal dynamics: theory and math focus

According to learners, the Neuronal Dynamics course from EPFL is largely positive positive, offering a strong theoretical foundation positive in single neuron dynamics neutral using mathematical tools positive. The instructor provides excellent explanations positive for complex concepts positive. However, students emphasize the need for a strong background in math and physics warning, as the course is otherwise very difficult warning. The challenging assignments warning require significant effort.

Primarily focuses on models of single neurons.

"It covers single-neuron dynamics thoroughly..."

"I appreciated the deep dive specifically into single neuron models as advertised."

"The focus on models of single neurons was clear and detailed."

Provides deep theoretical and mathematical basis.

"Provides a solid theoretical foundation for understanding neural dynamics using mathematical models."

"The course provides a very solid basis of neuronal dynamics theory."

"Focuses on the fundamental math and physics of neuronal models."

"It gives a very good understanding of theoretical and computational neuroscience."

Instructor explains complex topics clearly.

"Excellent explanations of complex concepts and the math behind them."

"The lecturer is excellent and explains challenging material clearly."

"The professor explains everything in a very clear and understandable way."

"Really well explained topics and math approach to neuronal dynamics."

Homework and quizzes are demanding but helpful.

"The problem sets are challenging but crucial for understanding."

"Homework assignments are hard and require much work... but helpful."

"The quizzes are quite difficult... the auto-grader is very strict."

"Be prepared to spend a lot of time on the assignments."

Requires solid math, physics, and neuro background.

"The course requires a solid background in calculus, linear algebra, and physics... a prior course in introductory neuroscience might also be helpful."

"If you don't have a strong mathematical and physics background, this course will be quite challenging."

"I could not follow it because I had no background in Physics."

"I've studied biology, but lack mathematics and physics background... it was extremely difficult to follow."

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 Neuronal Dynamics with these activities:

Familiarize yourself with basic neuroscience concepts

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This course will cover advanced concepts in neuroscience. Review essential neuroscience concepts to prepare for this course.

Browse courses on Neuroscience

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Read introductory neuroscience textbooks or articles.
Attend an introductory neuroscience lecture or workshop.

Read 'Principles of Neural Science'

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This comprehensive textbook provides an in-depth foundation in neuroscience. Reading it will enhance your understanding of the course material.

View Principles of Neural Science, Fifth Edition... on Amazon

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Read the assigned chapters thoroughly.
Take notes and highlight important concepts.

Brush up on Calculus

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This course relies heavily on mathematical tools, especially Calculus. Refresh your understanding of basic Calculus concepts to prepare for this course.

Browse courses on Calculus

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Review fundamental concepts of limits, derivatives, and integrals.
Practice solving basic Calculus problems.

Five other activities

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Join a study group for the course

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Collaborating with peers can enhance your understanding and provide diverse perspectives on course material.

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Find or create a study group with classmates.
Set regular meeting times and topics for discussion.
Actively participate in group discussions and share insights.

Follow online tutorials on neural coding

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Neural coding is a key concept in neuroscience. Follow online tutorials to enhance your understanding of how neurons encode information.

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Search for reputable online tutorials on neural coding.
Follow the tutorials, taking notes and completing any exercises.
Discuss your findings with classmates or instructors.

Solve practice problems on neuron models

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Mathematical modeling is crucial for understanding neuron dynamics. Practice solving problems involving neuron models to strengthen your understanding.

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Find practice problems online or in textbooks.
Attempt to solve the problems independently.
Check your solutions with the provided answer key.

Develop a presentation on different neuron models

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Creating a presentation will help you synthesize your knowledge of different neuron models and improve your communication skills.

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Research and gather information on neuron models.
Organize the information into a logical flow.
Design visually appealing slides using appropriate software.
Practice presenting your content to an audience.

Build a simple neural network model

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Hands-on experience with neural networks can reinforce your understanding of their principles. Building a simple model will provide practical knowledge.

Browse courses on Neural Networks

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Choose a neural network architecture and programming language.
Implement the model and train it on a small dataset.
Evaluate the model's performance and make adjustments if necessary.

Career center

Learners who complete Neuronal Dynamics will develop knowledge and skills that may be useful to these careers:

Computational Neuroscientist

A Computational Neuroscientist develops mathematical and computational models of neurons and neural systems. This course in Neuronal Dynamics would be very useful in developing the skills needed to build these models.

See salaries and explore the career path for Computational Neuroscientist

Neuroengineer

A Neuroengineer designs and builds devices that interact with the nervous system. This course in Neuronal Dynamics may be useful in understanding the dynamics of neurons and the neural code, which are important for designing devices that interact with the nervous system.

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Neuroscientist

A Neuroscientist studies the nervous system. This course in Neuronal Dynamics may be useful in understanding the dynamics of neurons and the neural code, which are fundamental concepts in neuroscience.

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Biophysicist

A Biophysicist studies the physical properties of biological systems. This course in Neuronal Dynamics may be useful in understanding the biophysical properties of neurons.

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Data Scientist

A Data Scientist analyzes data to extract meaningful insights. This course in Neuronal Dynamics may be useful in developing the skills needed to analyze data from neuroscience experiments.

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Machine Learning Engineer

A Machine Learning Engineer develops and deploys machine learning models. This course in Neuronal Dynamics may be useful in developing the skills needed to build machine learning models for neuroscience applications.

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Software Engineer

A Software Engineer designs, develops, and maintains software systems. This course in Neuronal Dynamics may be useful in developing the skills needed to build software systems for neuroscience applications.

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Quantitative Analyst

A Quantitative Analyst uses mathematical and statistical models to analyze financial data. This course in Neuronal Dynamics may be useful in developing the skills needed to build mathematical models for financial applications.

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Electrical Engineer

An Electrical Engineer designs, develops, and maintains electrical systems. This course in Neuronal Dynamics may be useful in developing the skills needed to build electrical systems for neuroscience applications.

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Mechanical Engineer

A Mechanical Engineer designs, develops, and maintains mechanical systems. This course in Neuronal Dynamics may be useful in developing the skills needed to build mechanical systems for neuroscience applications.

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Chemist

A Chemist studies the properties and reactions of matter. This course in Neuronal Dynamics may be useful in understanding the chemical properties of neurons.

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Biologist

A Biologist studies living organisms. This course in Neuronal Dynamics may be useful in understanding the biology of neurons.

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Physicist

A Physicist studies the laws of nature. This course in Neuronal Dynamics may be useful in understanding the physical properties of neurons.

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Mathematician

A Mathematician studies the properties of numbers and shapes. This course in Neuronal Dynamics may be useful in developing the skills needed to build mathematical models for neuroscience applications.

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Statistician

A Statistician develops and applies statistical methods to analyze data. This course in Neuronal Dynamics may be useful in developing the skills needed to analyze data from neuroscience experiments.

See salaries and explore the career path for Statistician

Reading list

We've selected 35 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 Neuronal Dynamics.

Spikes

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Provides a comprehensive overview of the neural code, covering both the theoretical and experimental aspects. It valuable resource for students and researchers in neuroscience.

Spikes: Exploring the Neural Code (Computational...

Hardcover

$$$$

Principles of Neural Science, Fifth Edition

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Covers the field of neuroscience, including the nervous system, its structure, function, development, and evolution. It would be particularly useful for those seeking background knowledge of the field or those taking the course to prepare for further study. It is commonly used as a textbook at academic institutions.

Neuronal Dynamics

What's inside

Learning objective

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Reviews summary

Neuronal dynamics: theory and math focus

Activities

Career center

Reading list

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