https://en.wikipedia.org/wiki/Artificial_neuron#History
There are many things that are inexact about this analogy or model, and many of them were known to be inexact in 1943, but that was the direct inspiration.
Apparently there are lots of different mathematical models available about biological neuron behavior:
The fact we now give this to undergrads as homework suggests that there was some value to this idea.
I'm not denigrating perceptrons or other neuro-inspired approaches to classification. I'm just pointing out that perceptrons are not a faithful model of neurons.
I am certain, BTW, that further study of biological neurons will continue to yield insights for the design of ANNs, but it does not at all follow that ANN design will become more similar to biological NNs as a result. Given the completely different substrates, simulating a biologically plausible NN in order to perform a task (for purposes other than gaining further understanding of biological NNs, that is) would be incredibly wasteful and unnecessary, even if your goal is to create an AGI of some sort.