This paper studies the effects of different bio-synaptic membrane potential mechanisms on the inference speed of both spiking feedforward neural networks (SFNNs) and spiking convolutional neural networks (SCNNs). These mechanisms inspired by biological neuron phenomenon, such as electronic conduction in neurons, chemical neurotransmitter attenuation between presynaptic and postsynaptic neurons, are considered to be modeled in mathematical and applied to artificial spiking networks. In the field of spiking neural networks, we model some biological neural membrane potential updating strategies based on integrate-and-fire (I&F) spiking neuron, which includes spiking neuron model with membrane potential decay (MemDec), spiking neuron model with synaptic input current superposition at spiking time (SynSup) and spiking neuron model with synaptic input current accumulation(SynAcc). Experiment results show that compared with the general I&F model (one of the most commonly used spiking neuron models), SynSup and SynAcc can effectively improve the learning speed in the inference stage of SCNNs and SFNNs.