Transmission Neural Networks: Inhibitory and Excitatory Connections
This paper extends the Transmission Neural Network model proposed by Gao and Caines in [1]-[3] to incorporate inhibitory connections and neurotransmitter populations. The extended network model contains binary neuronal states, transmission dynamics, and inhibitory and excitatory connections. Under technical assumptions, we establish the characterization of the firing probabilities of neurons, and show that such a characterization considering inhibitions can be equivalently represented by a neural network where each neuron has a continuous state of dimension 2. Moreover, we incorporated neurotransmitter populations into the modeling and establish the limit network model when the number of ...
| Authors | Shuang Gao, Peter E. Caines |
|---|---|
| Primary category | cs.SI |
| Published | 5 April 2026 |
| Last updated at source | 8 October 2026 |
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