** Next:** Introduction

####
** Analysis of Neural Excitability and Oscillations**

#####

G.B.Ermentrout

Department of Mathematics

University of Pittsburgh

and

J.Rinzel

Mathematical Research Branch, NIDDK

National Institutes of
Health

** NOTE **
This is an active Web page and allows you to do many of the
simulations that were used in the chapter. Many figures in the
document reference an ODE file for the software program XPP
which is a freely distributable ODE solver. You must set up your
mailcap and mimetype files according to the directions in the
tutorial
for XPP. For each figure, explore the differential equation, change
intial conditions, parameters, etc. Look at different variables as a
function of time. I will try to give some hints occasionally. **
REMEMBER ** to exit XPP after each exercise! Choose (File) (Quit) (Yes).

** NOTE 2 **
Older versions of XPP do not understand some aspects of the files used
in this tutorial; in particular, it does not know how to set internal options.
Really old versions will not work at all. But for those that do not
read internal options, here are the internal parameters used in
each of the figures. (These internal parameters include the time step,
the total amount of time, etc.) Use this info to manually set them.

- mlfig1.ode:@ total=150,dt=.25,xlo=-75,xhi=75,ylo=-.25,yhi=.5,xp=v,yp=w
- mlfig2.ode:@ total=150,dt=.25,ylo=-75,yhi=45,xlo=0,xhi=150,xp=t,yp=v
- mlfig3.ode:@ total=150,dt=.25,xlo=-60,xhi=60,ylo=-.125,yhi=.6,xp=v,yp=w
- mlfig4.ode:@ total=150,dt=.25,xlo=-60,xhi=60,ylo=-.125,yhi=.6,xp=v,yp=w
- mlfig7.ode:@ total=150,dt=.25,xlo=-60,xhi=60,ylo=-.125,yhi=.6,xp=v,yp=w
- mlfig8.ode:@ total=200,dt=.25,xlo=-50,xhi=50,ylo=-.125,yhi=.5,xp=v,yp=w
- mlfig9.ode:@ xp=zbar,yp=v,xlo=0,xhi=1,ylo=-75,yhi=20,total=2000,dt=1
meth=gear,toler=1e-5,dtmax=5,dtmin=1e-10,bound=1000
- mlfig10.ode:@ xp=zbar,yp=v,xlo=.3,xhi=.7,ylo=-70,yhi=45,bound=1000,
total=2000,dt=2,meth=gear,toler=1e-5, dtmax=5,dtmin=1e-10
- mlfig11.ode:@ method=gear,total=8000,dt=2.5,dtmin=1e-10,dtmax=5,toler=.01,
xlo=0,xhi=8000,ylo=-70,yhi=40,bound=10000
- mlfig11b.ode:@ method=gear,total=3750,xplot=zbar,yplot=s,dt=2.5,
dtmin=1e-10,dtmax=5,toler=.01,xlo=.5,xhi=.75,ylo=0,
yhi=.25,bound=10000
- mlfig12.ode:@ total=250, dt=.25,ylo=-60,yhi=35,xlo=0,xhi=250,xp=t,yp=v
- mlfig12a.ode:@ total=250, dt=.25,ylo=-60,yhi=35,xlo=0,xhi=250,xp=t,yp=v
- mlfig13.ode:@ total=500,dt=.25,xhi=500,ylo=-60,yhi=35
- mlfig14.ode:@ total=75.8, dt=.2, xlo=0,xhi=80,ylo=-45,yhi=35

*Bard Ermentrout *

Mon Jul 29 17:47:46 EDT 1996