|
[Sponsors] |
![]() |
![]() |
#1 |
New Member
Join Date: Aug 2009
Posts: 3
Rep Power: 15 ![]() |
Has anyone attempted to implement the bidomain equations (*) for the heart in OpenFOAM?
These equations model the flow of current of a heart inside a conductive medium, making it an inner domain problem where the flow among the domains is determined by set of ODE's. Is there any related flow problem where boundary conditions determined by ODE's are simultaneously solved? Thanks! ----------- *Here is a more extensive description of the model The bidomain equations model the electrical activity of the heart inside a conductive medium. Each of two domains (conductive medium, heart) is basically a Laplace domain (div(s*grad(Phi)) = 0) where Phi is the potential, s the conductivity. The most interesting part is however the interface of the two (a membrane) where the flow (current) is: a. Conserved: the flow leaving one domain is identical to the one entering the other div(s*grad(Phi_e)) = -div(s*grad(Phi_i)) and, b. Dependent on the potential difference: the potential difference at any point in the membrane (difference of the potential at the same point inside and outside V=Phi_i - Phi_e) determines the flow from one domain to the other. Item b. can be considered a "dynamic" boundary condition, which is a system of ODEs of the form: div(s*grad(Phi_e)) = f(dV/dt, V, u) du/dt = g(u) u a vector of states of the membrane. |
|
![]() |
![]() |
![]() |
Tags |
bidomain, biomedical, electric field, interface, potential |
Thread Tools | Search this Thread |
Display Modes | |
|
|
![]() |
||||
Thread | Thread Starter | Forum | Replies | Last Post |
Guide: Writing Equations in LaTeX on the CFD Online Forums | pete | Site Help, Feedback & Discussions | 27 | May 19, 2022 04:19 |
Maths problem when deriving conservation of energy equations. | Demonwolf | Main CFD Forum | 1 | June 15, 2009 15:21 |
Bidomain Stokes flow | bluemoth | OpenFOAM Running, Solving & CFD | 0 | December 29, 2005 00:36 |
? fluctuating equations for homogenous shear turb. | ff_fan | Main CFD Forum | 1 | September 20, 2002 08:39 |
Euler equations? | Jan Ramboer | Main CFD Forum | 2 | August 19, 1999 02:58 |