Unifying time to contact estimation and collision avoidance across species

Area of Science:

• Neuroscience
• Computational Neuroscience
• Perception

Background:

• The τ-function and η-function are distinct models for timing interceptive actions and collision avoidance.
• Previous models lacked a unified framework and biophysically plausible neuronal implementation.
• The relationship between τ-type and η-type neurons remained unclear.

Purpose of the Study:

• To propose a novel framework, the corrected modified Tau function, unifying τ-type and η-type responses.
• To demonstrate the framework's resilience to noise and neuronal plausibility.
• To establish links between τ-type and η-type neurons.

Main Methods:

• Development of the corrected modified Tau function (t(mod) and τ(cm)).
• Derivation of t(mod) from a firing rate equation.
• Validation against published and novel experimental data.

Main Results:

• The new framework predicts both τ-type (τ(cm)) and η-type (t(mod)) responses.
• t(mod) describes collision-sensitive neuron responses and is derived from a firing rate equation.
• τ(cm) accurately predicts psychophysical performance in time-to-contact tasks.
• The framework demonstrates resilience to noise.

Conclusions:

• The corrected modified Tau function provides a unified, noise-resilient model for timing and collision avoidance.
• The framework offers a biophysically plausible neuronal implementation for both τ-type and η-type responses.
• It establishes a link between τ-type and η-type neurons, potentially explaining their co-occurrence in the brain.