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Models that contain the Modeling Application : XPP (web link to model) (Home Page)

( XPP (XPPAUT is another name; I (Bard Ermentrout) will use the two interchangeably) is a tool for solving differential equations, difference equations, delay equations, functional equations, boundary value problems, and stochastic equations. It evolved from a chapter written by John Rinzel and me on the qualitative theory of nerve membranes and eventually became a commercial product for MSDOS computers called PHASEPLANE. It is now available as a program running under X11 and Windows. The code brings together a number of useful algorithms and is extremely portable.)

   Models
A nicotinic acetylcholine receptor kinetic model (Edelstein et al. 1996)
Ca2+-activated I_CAN and synaptic depression promotes network-dependent oscil. (Rubin et al. 2009)
Circadian clock model based on protein sequestration (simple version) (Kim & Forger 2012)
Circadian clock model in mammals (detailed version) (Kim & Forger 2012)
Drosophila 3rd instar larval aCC motoneuron (Gunay et al. 2014, submitted)
Endothelin action on pituitary latotrophs (Bertram et al. 2006)
Low dose of dopamine may stimulate prolactin secretion by increasing K currents (Tabak et al. 2006)
Mathematical Foundations of Neuroscience (Ermentrout and Terman 2010)
Mixed mode oscillations as a mechanism for pseudo-plateau bursting (Vo et al. 2010)
Oxytocin and VIP involvement in prolactin secretion (Egli et al. 2004,2006, Bertram et al. 2006)
Reduction of nonlinear ODE systems possessing multiple scales (Clewley et al. 2005)
Squid axon (Hodgkin, Huxley 1952) (SBML, XPP, other)
The relationship between two fast/slow analysis techniques for bursting oscill. (Teka et al. 2012)
Understanding how fast activating K+ channels promote bursting in pituitary cells (Vo et al 2014)


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