indii::fmri::hemodynamic::FlowBalloonModelDefaults

FlowBalloonModelDefaults Class Reference

List of all members.

Detailed Description

Default biophysical parameter and function settings for FlowBalloonModel.

These defaults are based on values given in Buxton et al. (1998) and Friston et al. (2003).

Author:
Lawrence Murray <lawrence@indii.org>
Version:
Rev
285
Date:
Date
2007-07-20 17:25:40 +0100 (Fri, 20 Jul 2007)

Definition at line 20 of file FlowBalloonModelDefaults.hpp.

Static Public Attributes

static const double V_0 = 0.01
 $V_0$; volume of the venous compartment at rest.
static const double E_0 = 0.4
 $E_0$; oxygen extraction rate of the venous compartment at rest.
static const double TAU_0 = 0.98
 $\tau_0$; mean transit time through the venous compartment at rest.
static const double ALPHA = 0.5
 $\alpha$; Grubb's exponent.
static indii::ml::ode::f_t F_IN
 $f_{in}(t) = 1$; normalised flow into the venous compartment.
static indii::ml::ode::f_t F_OUT
 $f_{out}(t) = v^{1/\alpha}$; normalised flow out of the venous compartment.
static indii::ml::ode::f_t E
 $E(t) \approx 1 - (1 - E_0)^{1/f_{in}(t)}$; oxygen extraction rate of the venous compartment.
static indii::ml::ode::f_t DQDT
 

\[ \frac{dq}{dt} = \left\{ \begin{array}{lcc} \frac{1}{\tau_0}\left[f_{in}(t)\frac{E(t)}{E_0} - f_{out}(v)\frac{q}{v}\right] & v \neq 0 & f_{in}(t) \neq 0 \\ -\frac{qf_{out}(v)}{\tau_0v} & v \neq 0 & f_{in}(t) = 0 \\ \frac{f_{in}(t)}{\tau_0} & v = 0 & f_{in}(t) \neq 0 \\ 0 & v = 0 & f_{in}(t) = 0 \\ \end{array}\right\} \]

; differential equation.

static indii::ml::ode::f_t DVDT
 $\frac{dv}{dt} = \frac{1}{\tau_0}\left[ f_{in}(t) - f_{out}(v) \right] $; differential equation.

Member Data Documentation

const double V_0 = 0.01 [static]

$V_0$; volume of the venous compartment at rest.

Definition at line 25 of file FlowBalloonModelDefaults.hpp.

const double E_0 = 0.4 [static]

$E_0$; oxygen extraction rate of the venous compartment at rest.

Definition at line 31 of file FlowBalloonModelDefaults.hpp.

const double TAU_0 = 0.98 [static]

$\tau_0$; mean transit time through the venous compartment at rest.

Definition at line 37 of file FlowBalloonModelDefaults.hpp.

const double ALPHA = 0.5 [static]

$\alpha$; Grubb's exponent.

Definition at line 42 of file FlowBalloonModelDefaults.hpp.

double F_IN [static]

$f_{in}(t) = 1$; normalised flow into the venous compartment.

Definition at line 47 of file FlowBalloonModelDefaults.hpp.

double F_OUT [static]

$f_{out}(t) = v^{1/\alpha}$; normalised flow out of the venous compartment.

Definition at line 53 of file FlowBalloonModelDefaults.hpp.

double E [static]

$E(t) \approx 1 - (1 - E_0)^{1/f_{in}(t)}$; oxygen extraction rate of the venous compartment.

Definition at line 59 of file FlowBalloonModelDefaults.hpp.

double DQDT [static]

\[ \frac{dq}{dt} = \left\{ \begin{array}{lcc} \frac{1}{\tau_0}\left[f_{in}(t)\frac{E(t)}{E_0} - f_{out}(v)\frac{q}{v}\right] & v \neq 0 & f_{in}(t) \neq 0 \\ -\frac{qf_{out}(v)}{\tau_0v} & v \neq 0 & f_{in}(t) = 0 \\ \frac{f_{in}(t)}{\tau_0} & v = 0 & f_{in}(t) \neq 0 \\ 0 & v = 0 & f_{in}(t) = 0 \\ \end{array}\right\} \]

; differential equation.

Singularities are handled by taking the limit of the function in a manner consistent with Riera et al. (2004).

Definition at line 75 of file FlowBalloonModelDefaults.hpp.

double DVDT [static]

$\frac{dv}{dt} = \frac{1}{\tau_0}\left[ f_{in}(t) - f_{out}(v) \right] $; differential equation.

Definition at line 83 of file FlowBalloonModelDefaults.hpp.

The documentation for this class was generated from the following files:
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