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A method of determining the existence of bursting solutions A method of determining the existence of bursting solutions

A method of determining the existence of bursting solutions - PowerPoint Presentation

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Uploaded On 2016-02-26

A method of determining the existence of bursting solutions - PPT Presentation

The Model Tcurrent mechanism for escape Release of Synaptic inhibition Mapping Fixed points of mark outofphase bursting A function of Tcurrent inactivation parameters alone Stability ID: 231747

current bursting spiking inactivation bursting current inactivation spiking numerically depends synaptic relaxing assumptions center mapping threshold solutions number

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Presentation Transcript

Slide1

A method of determining the existence of bursting solutions, and output variables such as burst length and spike number, of multidimensional models using mapping.Slide2

The ModelSlide3

T-current mechanism for escapeSlide4

Release of Synaptic inhibition Slide5

Mapping

Fixed points of mark out-of-phase burstingSlide6
Slide7

A function of T-current inactivation parameters aloneSlide8
Slide9

Stability

has to be determined numericallySlide10

Parameter sensitivity analysis

depends on but does not

depends on but does notSlide11

Relaxing the assumptions

Half-center bursting: T-current inactivation threshold lies just beneath spiking threshold

Synaptic decay faster than spiking dynamics

Relaxing the half-center assumptions means that

h

as to be calculated numerically, and becomes discontinuous.

Nevertheless, the number of stable solutions increases.