LIF Neuron Equation Solution for arbitrary time-dependent current (Neural Dynamics)

Context: Undergrad
Thread starter gigorina
Start date Jan 7, 2024
Tags

Differential equation

Join the discussion

Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.

Real named experts · corrections over time · the nuance an AI answer skips

0 replies · 3K views

gigorina

Thread starter
Jan 7, 2024

In the book Neural Dynamics: https://neuronaldynamics.epfl.ch/online/Ch1.S3.html

There is a solution to the following differential equation (LIF Neuron) for arbitrary time-dependent current. I was trying to figure out the steps the author took to get to the solution.

Original Equation:

Solution:

LIF Neuron Equation Solution for arbitrary time-dependent current (Neural Dynamics)

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

Undergrad Mixed approximation vs. full approximation for a power series expansion

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

High School Arc Length for Hyperbolic Sin

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

LIF Neuron Equation Solution for arbitrary time-dependent current (Neural Dynamics)

Similar threads