### Mathematical and Computational Neuroscience

Posted:

**Thu Nov 23, 2006 5:43 pm**I redirected a part of 25 August subject "insert hh" discussion thread from "adding new mechanisms and functions to NEURON"

https://www.neuron.yale.edu/phpBB2/viewtopic.php?t=563

because I think it fits better here!

.....................................

So the STN neurons fall into this category-condition you are referring to about the conductance densities.Although they are 'below threshold value' they fire rhythmically!

But what's the point of speaking about threshold in a neuron which already produces spikes in its Resting State ?

What are the mechanisms that makes these "resting" channels produce spiking?Is it the levels of conductances that play role?

I find extremely interesting your citation for "analysis of neural excitability" as a senior applied mathematics undergraduate,

but as far as I know John Rinzel and Bard Ermentrout are more mathematical neuroscientists than computational so you suggest me to study firing and bursting activity from a dynamical perspective (with XPP).

By the way ,does computational neuroscience as a field include mathematical neuroscience?

I understand that there is an interplay between them,no doubt!

Where are the adnantagesof computational neuroscience and where these of mathematical?

Let's think about

To what deductions as a tool can the first package lead us and to what the second?

Judging from your experience as a computational neuroscientist,are there cases that these computational tools (like Neuron and Genesis ) fail and there is need for a more mathematical and dynamical analysis(XPP etc.)?

Sorry for the host of questions but I would like your view and also to become aware of the current trends underlying these two fields in the US.

https://www.neuron.yale.edu/phpBB2/viewtopic.php?t=563

because I think it fits better here!

.....................................

So the STN neurons fall into this category-condition you are referring to about the conductance densities.Although they are 'below threshold value' they fire rhythmically!

But what's the point of speaking about threshold in a neuron which already produces spikes in its Resting State ?

What are the mechanisms that makes these "resting" channels produce spiking?Is it the levels of conductances that play role?

I find extremely interesting your citation for "analysis of neural excitability" as a senior applied mathematics undergraduate,

but as far as I know John Rinzel and Bard Ermentrout are more mathematical neuroscientists than computational so you suggest me to study firing and bursting activity from a dynamical perspective (with XPP).

By the way ,does computational neuroscience as a field include mathematical neuroscience?

I understand that there is an interplay between them,no doubt!

Where are the adnantagesof computational neuroscience and where these of mathematical?

Let's think about

**bursting**for example, from what point of view does XPP deal with bursting and from what does NEURON?To what deductions as a tool can the first package lead us and to what the second?

Judging from your experience as a computational neuroscientist,are there cases that these computational tools (like Neuron and Genesis ) fail and there is need for a more mathematical and dynamical analysis(XPP etc.)?

Sorry for the host of questions but I would like your view and also to become aware of the current trends underlying these two fields in the US.