**RESEARCH **

** Projects in progress: **

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Development of a computationally efficient model of the human heart
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Three-dimensional organization of ventricular fibrillation in human heart

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** Recent presentations: **

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Poster, for HRS 2009 meeting in Boston
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****Human ventricular cell (TNNP) model **

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Recently we introduce a mathematical model of the action potential of
human ventricular cells that, while including a high level of
electrophysiological detail, is computationally cost-effective enough
to be applied in large-scale spatial simulations for the study of
reentrant arrhythmias (see figure below). The model is based on recent
experimental data on most of the major ionic currents and reproduces
properties of different cell types (endocardial, epicardial and M
cells), the experimentally observed data on action potential duration
restitution and the conduction velocity restitution. We use this model
to study dynamics of spiral wave rotation in 2D and in anatomically
accurate model of human heart. **

(* K.H.W.J. ten Tusscher, D. Noble, P.J. Noble, and A.V. Panfilov, 2004, American Journal of Physiology, 286, H1573-H1589. (Full text (HTML) and PDF for AJP subscribers); PubMed ID: 14656705)*

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(*** New version: K.H.W.J. ten Tusscher and A.V. Panfilov, 2006, American Journal of Physiology, 291(3):H1088-100. (Full text (HTML) and PDF for AJP subscribers); PubMed ID: 16565318)*

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Schematic representation(left); Spiral wave dynamics (middle) Core of spiral wave (left)

Links

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The webpage of K. Ten Tusscher, including PhD thesis **

The source codes
Cell ML implementation

**Anatomically accurate modelling
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** canine ventricular model **

Another direction of studies is the development of anatomically based
models of heart ventricles. In 1992-1994 we developed an
anatomically based model of ventricles of canine heart (* Panfilov and
Keener, Chaos
Solitons and Fractals,v.5,p.681-689,(1995), A.V.Panfilov, in
''Computational Biology of the Heart'. ed. A.V. Panfilov and
A.V. Holden, Wiley,p.259-276, (1997)*). The model was based on
anatomical data of geometry and fiber orientation obtained by the
group of
P. Hunter from Auckland University. The dynamics of cardiac cells
was represented by means of a FitzHugh-Nagumo model, where a diffusion
matrix accounts for tissue anisotropy and fiber orientation. Using
this model normal and abnormal excitation on the heart was studied:
three-dimensional re-entrant behavior resulting from single or
multiple re-entrant sources, re-entry initiation due to a single
premature stimulus, and ventricular fibrillation due to the process of
spiral breakup. The patterns of excitation perdicted by this model
were later recoded in experiment during ventricular fibrillation in
dog heart (* Witkowski et al., Nature,v.392,p.78,1998*). Later, that
patterns were quantified and three dimensional sources of excitation
driving ventricular fibrillation were counted (* A.V.Panfilov, Phys. Rev.E, v.59, p.R6251-R6254, (1999)*.
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Movies of wave propagation in a model of dog heart

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** just click on picture****
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** HUMAN VENTRICULAR MODEL ** together with Olivier Bernus and Kirsten Ten Tusscher

Starting form 1997 we are developing an anatomically accurate model
for ventricles of human heart based on anatomical data set by R. Hren and our
equations for human cardiac cells. We use this model to study menifestation of different arrhythmias and ventricular fibrillation in human heart,

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Movies using
gamma model
for human ventricular cells

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Movies using
TNNP model
for human ventricular cells

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** Movies of wave propagation in a model of human atria (work in progress with
Ch.Zemlin )**** **

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Reactio-diffusion-contraction systems (work in progress with
M.Nash )** *

**left** -Self-Organized Pacemakers due ot mechanical activity

**middle-left** -mechanical activity during spiral breakup

**middle-right** -Breakup induced by mechanical activity

**right** -Spiral in anatomical model of pig heart (in progress)

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*
Nash MP, Panfilov AV. : Prog Biophys Mol Biol. 2004 Jun-Jul;85(2-3):501-22.
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Panfilov AV, Keldermann RH, Nash MP.:Phys Rev Lett. 2005 Dec 16;95(25):258104

Panfilov AV, Keldermann RH, Nash MP.:Proc. Natl. Acad. Sci. USA, 2007, v.104,p.7922-7926