The basic units in our brain are neurons and each neuron has more than 1000 synapse connections. Synapse is the basic structure for information transfer in an ever-changing manner, and short-term plasticity allows synapses to perform critical computational functions in neural circuits. Therefore the major challenge for the hardware implementation of neuromorphic computation is to develop artificial synapse. Here, in-plane oxide-based artificial synapse network coupled by proton neurotransmitters are self-assembled on glass substrates at room-temperature. A strong lateral modulation is observed due to the proton migration in the nanogranular phosphorus-doped SiO2 electrolyte films. Functional roles of short-term plasticity, including paired-pulse facilitation, dynamic filtering and spatiotemporally correlated signal processing are mimicked. Such in-plane oxide-based protonic/electronic hybrid synapse network proposed here are interesting for building future neuromorphic systems.