edu.rit.mri

Class SpinSignal

java.lang.Object

edu.rit.mri.SpinSignal

public class SpinSignal
extends java.lang.Object

Class SpinSignal provides static methods for computing the spin signal model function.

Method Summary

Modifier and Type	Method and Description
static double	dSdR(double rho, double R, double t) Compute the partial derivative of the spin signal with respect to spin relaxation rate for the given spin density, spin relaxation rate, and time.
static double	dSdrho(double R, double t) Compute the partial derivative of the spin signal with respect to spin density for the given spin relaxation rate and time.
static double	S(double R, double t) Compute the spin signal for the given spin relaxation rate and time.
static double	S(double rho, double R, double t) Compute the spin signal for the given spin density, spin relaxation rate, and time.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

S

public static double S(double R,
                       double t)

Compute the spin signal for the given spin relaxation rate and time. A spin density of ρ = 1 is used. The formula is S(t) = ρ [1 − 2 exp(−R t)]

Parameters:

R - Spin relaxation rate, R.

t - Time, t.

Returns:

Spin signal, S(t).

S

public static double S(double rho,
                       double R,
                       double t)

Compute the spin signal for the given spin density, spin relaxation rate, and time. The formula is S(t) = ρ [1 − 2 exp(−R t)]

Parameters:

rho - Spin density, ρ.

R - Spin relaxation rate, R.

t - Time, t.

Returns:

Spin signal, S(t).

dSdrho

public static double dSdrho(double R,
                            double t)

Compute the partial derivative of the spin signal with respect to spin density for the given spin relaxation rate and time. The formula is ∂S(t) ⁄ ∂ρ = 1 − 2 exp(−R t)

Parameters:

R - Spin relaxation rate, R.

t - Time, t.

Returns:

Partial derivative, ∂S(t) ⁄ ∂ρ.

dSdR

public static double dSdR(double rho,
                          double R,
                          double t)

Compute the partial derivative of the spin signal with respect to spin relaxation rate for the given spin density, spin relaxation rate, and time. The formula is ∂S(t) ⁄ ∂R = 2 ρ t exp(−R t)

Parameters:

rho - Spin density, ρ.

R - Spin relaxation rate, R.

t - Time, t.

Returns:

Partial derivative, ∂S(t) ⁄ ∂R.