Ions, Diffusion and Membrane Potential

• Ions, Diffusion and Nersnt Potential ^{Added on 1/12/2005}
• Goldman-Hodgkin-Katz Equation ^{Added on 1/12/2005}
• Generation of Neuron Action Potential ^{Added on 1/30/2005}
• Generation of Cardiac Action Potential ^{Added on 1/30/2005}

Excitable Media and Ionic Models of Cellular Action Potential

• Simplified Models
• FitzHugh-Nagumo (FHN) model for one cell (nerve)
• Karma model for one cell (generic cardiac)
• Ionic Models (Neuron)
• Hodgkin-Huxley model (Axon nerve, 1952)

Heart Models

---

• Ionic Models (SinoAtrial)
• Zhang-Holden-Kodama-Honjo-Lei-Varghese-Boyett (Rabbit Centre Sinoatrial cell, 2000) ^{New Added on 6/30/2005}
• Zhang-Holden-Kodama-Honjo-Lei-Varghese-Boyett (Rabbit Periphery Sinoatrial cell, 2000) , ^{New Added on 7/1/2005}
• Ionic Models (Atrial)
• Courtemanche-Ramirez-Nattel (human atrial cell, 1998) ^{Added on 2/20/2005}
• Nygren-Fiset-Firek-Clark-Lindblad-Clark-Giles (human atrial cell, 1998), ^{Added on 2/20/2005}
• Ionic Models (Purkinje)
• Noble model (Purkinje cell, 1962)
• DiFrancesco-Noble model (Purkinje cell, 1985) ^{New 6/20/2005}
• Ionic Models (Ventricle)
• Beeler-Reuter (generic ventricular cell, 1977)
• Luo-Rudy model, version 1, LR-1, (guinea pig ventricular cell, 1991 )
• Luo-Rudy model, “dynamic” version, LRd, (guinea pig ventricular cell, 2001) ^{Added on 3/24/2004}
• Fox-McHarg-Gilmour model (dog ventricular cell, 2002) ^{New 5/03/2005}
• Hund-Rudy model (dog ventricular cell, 2004) ^{New 5/12/2005}
• Pribe-Beuckelmann model (human ventricular cell, 1998) ^{New 4/1/2005}
• Bernus-Wilders-Zemlin-Verschelde-Panfilov model (Reduced Pribe-Beuckelmann, human ventricular cell, 2002) ^{New 6/28/2005}
• Tusscher-Noble-Noble-Panfilov model (human ventricular cells [epicardial, myocardial and endocardial], 2004) ^{New 3/25/2005}
• Iyer-Mazhari-Winslow model for one Cell (model for human ventricular cells, 2004) ^{New 3/30/2005}
• Phenomenological model (human ventricular cells [epicardial, myocardial and endocardial], 2005) ^{New 4/13/2005}

Single cell dynamics

• State Space Dynamics (Phase Plane)
• FitzHugh-Nagumo model for one cell (generic nerve) with phase space
• FitzHugh-Nagumo model (generic nerve) with phase space for arbitrary initial conditions ^{Added on 2/10/2005}
• Hodgkin-Huxley model (Axon nerve) with phase space ^{Added on 2/10/2005}

• All or None Repolarization
• Using Beeler-Reuter model

• Membrane Resonance (“subthreshold” stimulation frequency dependent responses including chaos)
• Hodgkin-Huxley model

• Action Potential Duration (APD) Restitution
• Normal Restitution (1D map, period doubling Hopf bifurcaton)
• Biphasic Restitution (1D map, chaotic dynamics)
• Restitution, alternans as a function of CL (1D map with pich fork Bifurcation)
• Restitution, alternans as a function of CL (1D map with border collision Bifurcation)

Initiation, Propagation and Conduction Blocks in 1D

• Models in 1D rings and 1D cables
• FitzHugh-Nagumo model on a 1D ring
• 3Vmodel on a 1D ring and APD oscillations as function of ring size (spatial discordant alternans)
• Noble model in a cable or in a ring ^{Added on 2/10/2004}
• Beeler-Reuter model in a cable or in a ring ^{Added on 2/10/2004}
• Luo-Rudy-1 (LR1) model in a cable or in a ring ^{Added on 2/10/2004}
• Luo-Rudy dynamic (LRd) model in a cable or a in a ring ^{Added on 3/24/2004}

• Other dynamics in tissue
• Liminal length and space and time constants. ^{Added on 12/10/2004}
• Liminal length and stimulus parameters. ^{Added on 12/10/2004}
• Liminal length and capacitance. ^{Added on 12/10/2004}
• Liminal length and ionic conductances. ^{Added on 12/10/2004}
• Stimulation voltage profile. ^{Added on 12/10/2004}
• S1-S2 Propagation and Block. ^{Added on 12/10/2004}

Concordant and Discordant Alternans in 1D

• 1D cables
• Alternans on a 1D cable as a function of pacing period (purkinje model) ^{Added on 02/08/2006}
• Alternans on a 1D cable as a function of pacing period (Beeler-Reuter model) ^{Added on 02/08/2006}

• 1D rings
• 3Vmodel on a 1D ring and APD oscillations as function of ring size (spatial discordant alternans)
• Control of APD alternans on a ring using an external signal
• Alternans suppression applets ^{Added on 02/10/2004}

Initiation, Propagation, Conduction Blocks and Spiral Waves in 2D

• Models in 2D tissue
• FitzHugh-Nagumo model on a 2D Square Tissue
• Karma model on a 2D Square Tissue
• FitzHugh-Nagumo model on a 2D Slice of Rabbit Ventricle.

3D Java, Anatomically correct heart structures