#### Filter Results:

- Full text PDF available (4)

#### Publication Year

2009

2011

- This year (0)
- Last 5 years (0)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

#### Method

#### Organism

Learn More

- Paul E Hand, Boyce E Griffith, Charles S Peskin
- Bulletin of mathematical biology
- 2009

We derive the values for the intracellular and extracellular conductivities needed for bidomain simulations of cardiac electrophysiology using homogenization of partial differential equations. In our model, cardiac myocytes are rectangular prisms and gap junctions appear in a distributed manner as flux boundary conditions for Laplace's equation. Using… (More)

- Paul E Hand, Charles S Peskin
- Bulletin of mathematical biology
- 2010

We derive a homogenized description of the electrical communication along a single strand of myocytes in the presence of gap-junctional and electric-field coupling. In the model, cells are electrically coupled through narrow clefts that are resistively connected to extracellular space. Cells are also coupled directly through gap junctions. We perform… (More)

- Paul E Hand, Boyce E Griffith
- Proceedings of the National Academy of Sciences…
- 2010

We present a multiscale model and an adaptive numerical scheme for simulating cardiac action potential propagation along a linear strand of heart muscle cells. This model couples macroscale partial differential equations posed over the tissue to microscale equations posed over discrete cellular geometry. The microscopic equations are used only near action… (More)

- Paul E Hand, Boyce E Griffith
- Bulletin of mathematical biology
- 2011

We modify and empirically study an adaptive multiscale model for simulating cardiac action potential propagation along a strand of cardiomyocytes. The model involves microscale partial differential equations posed over cells near the action potential upstroke and macroscale partial differential equations posed over the remainder of the tissue. An important… (More)

- ‹
- 1
- ›