MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Nonlinear analysis of orientation tuning: stationary properties of simple cells in V1

Thomas Wennekers


We present an approximate mathematical analysis of field models for orientation tuning. Excitatory and inhibitory cells are considered as separate fields with intrinsic as well as mutual Gaussian connectivity kernels. Qualitative properties of fixed point solutions of these equations are approximated for a whole class of nonlinear rate-functions that obey a power law above some threshold and that are zero below. Algebraic expressions for stationary firing rates and tuning widths are derived that can be solved numerically and also analytically in an approximate way. Results show that the only rate-function (from the class of functions under consideration) that leads to a linearly growing network response and a constant tuning width when the input intensity is varied is the rectilinear function.


Related publications

2001 Repository Open Access
Thomas Wennekers

Nonlinear analysis of orientation tuning: Stationary properties of simple cells in V1

In: Neurocomputing, 38 (2001), pp. 439-444