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You'll be interested in Where Mathematics Comes From, by George Lakoff and Rafael E. Núñez. Lakoff & Núñez argue that all of our mathematical concepts are based on some kind of conceptual metaphor, where we take the rules of a domain that we understand intuitively and apply them into a new, mathematical context. For example, the concept of "motion along ...

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There are several approaches to theoretical neuroscience. I am currently taking the physics/mathematics approach: modelling the currents in neurons and coupling several neurons together through differential equations. In Computer Science, the tendency is more towards machine learning: Bayesian statistics, artificial neural networks, signal processing, ...

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It seems there is! Check out Marsalli's module from The Mind Project's curriculum and let me know if it works for you. It seems McCullough and Pitts' paper was important enough to be cited very many times, so there are probably several other options out there for you. Reference Marsalli, M. McCulloch-Pitts neurons. The Mind Project: Curriculum. Retrieved ...

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It has been proposed that spontaneous cortical activity may have a lot to do with cortical processing not related to external sensory. Within a spontaneously active network, we observe the sudden “ignition” of one out of many possible coherent states of high-level activity amidst cortical neurons with long-distance projections. During such an ignited ...

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Very many references may easily be found with a Google search for "mathematical model memory". Probably the most classic and iconic reference is Atkinson and Shiffrin (1965), which is also described on Wikipedia. Its three components and their relationships are nicely encapsulated in this figure: Many other, lesser-known mathematical models of memory ...

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There's the naïve version of spike triggered averaging, and the sophisticated version. Both of them are consistent estimators for a linear-nonlinear system under certain conditions (Paninski, 2003). If your stimulus is $x_i$ and your spike count in a small bin is $y_i$, naïve version is $$\mathrm{STA} = \frac{1}{N} \sum_i x_i y_i$$ The sophisticated version ...

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Cognitive sciences are an interdisciplinary field between: psychology sociology philosophy medical sciences biology physics chemistry palaeontology / anthropology ethnology information sciences linguistics I believe I forgot something The core is probably somewhere around psychology, neurobiology (including endocrinology) and artificial intelligence, ...

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I have participated in NIPS, CNS, and COSYNE at least a couple times each. In fact, I have participated in all 3 last year. COSYNE is a smallest conference, but it's growing fast. It's a great conference because it has a good balance between experimentalists and theorists. It takes an extended abstract (2 pages). It emphasizes the systems aspect of the ...

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I think this recent paper fits your requirements. It considers biological plausibility by showing that the number of neurons required in the proposed method is within a reasonable size for the human brain, and dismisses a series of unreasonable models. Specifically, they create a neural network that contains 2.5 million neurons to contain a network of ...

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