Senior Thesis Topic in Neurophysics

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The discussion centers on the exploration of neuron models in relation to nonlinear phenomena and the search for a computationally simple spiking neuron model that closely mimics biological firing patterns. A key point raised is the need to clarify the definition of nonlinearity, as it can refer to various aspects such as unexpected cause-and-effect relationships or mapping complexities. The conversation also touches on the concept of dimensions in scientific contexts, highlighting a perceived restriction in how dimensions are defined and used in mathematical equations, particularly in relation to space and time. This suggests a broader inquiry into the implications of dimensionality in modeling and understanding neuronal behavior.
laramman2
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Can anyone suggest any interesting problems relating a neuron model with nonlinear phenomena (or nonlinearity of the neurons itself)? And also which spiking neuron model is computationally simple yet able to produce firing patterns close to a real biological neuron?
 
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That's great... It sounds like your last nerve... Nonlinear though? Defining the term is obviously going to present a starting line, or, what do you mean by nonlinear. Are you referring to cause and effect? Meaning it should do A but it does B, C & D; or are you interested in mapping?

I don't mean to be a pest, I just thought that deciding on the order of magnitude regarding the term nonlinear might yield some direction or possibly an idea.

I am having trouble with the word dimension; lately. It seems that currently, in scientific fields, one is only allowed to refer to a variable/constant in a mathematical equation as a dimension; and that rules space, not the axes of course, but space itself, out as a dimension. Not the undefined or time though as they are used regularly in this manner but as dimensions the order of magnitude seems? narrow. Any suggestions?
 

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