A1 Project

Project Title: Modeling neuronal circuit growth and sensory information processing of Hydra

PI’s: Prof. Dr. Dr. h. c. Thomas Bosch, PD. Dr. Karlheinz Ochs

Researcher(s): Sebastian Jenderny, Christopher Noack

Dataset Name: An equivalent circuit for the Hindmarsh-Rose model

Dataset Descriptions: Simulated data for figures 8 and 9 as presented in 1. The dataset contains voltage and current data for bursting and spiking modes of equivalent circuits for the original Hindmarsh-Rose model and a memristive Hindmarsh-Rose model.

Methodology: Simulations of the original Hindmarsh-Rose model that serve as reference are carried out with LTspice. Simulations of the equivalent circuit of the Hindmarsh-Rose model and the memristive Hindmarsh-Rose model are carried out with an ODE solver of MATLAB.

Setup:

Simulated circuit setup corresponding to the original Hindmarsh-Rose model. Definitions for the nonlinear circuit elements are found in 1.

Simulated circuit setup corresponding to the memristive Hindmarsh-Rose model. Definitions for the nonlinear circuit elements are found in 1.

Parameters:

Simulation parameters used to create spiking and bursting behavior. Note that variable names refer to the parameters of the set of ordinary differential equations of the original Hindmarsh-Rose model 1. Normalization constants are chosen to L₀ = 1nH, R₀ = 1Ω, and U₀ = 1V. Additional parameters for the memristive Hindmarsh-Rose model are set to α = 10^-9 .

Click here to download the dataset.

References:

1(1,2,3,4): Ochs, K., & Jenderny, S. (2021). An equivalent electrical circuit for the Hindmarsh‐Rose model. International Journal of Circuit Theory and Applications, 49(11), 3526-3539. doi:10.1002/cta.3113