Table 1 Summary of the related work.

From: Adaptive simulation of 3D thermometry maps for interventional MR-guided tumor ablation using Pennes’ bioheat equation and isotherms

 

Temperature measurement

Treatment

Optimization

Parameter

Model

Discretization

Time [s]

9

MRI

HIFU

AEKF

Covariance of the Process noise Q

BHTE

Rayleigh /Fourier

–

10

MRI

HIFU

Binary feedback control

–

–

–

–

11

MRI

FUS

Rearrangement of the algebraic expression

D and \(\alpha\)

BHTE

Fourier

180-300

12

MRI

HIFU

PID controller

–

BHTE

Rayleigh /Fourier

–

13

MRI

FUS

Method of least squares

Equation parameter

Simple heat model

–

1

14

Sensors

Cryo

Levenberg-Marquardt

\(\omega\) and k

BHTE

FEM

30

15

Sensors

RFA

Limited, nonlinear optimization function

\(\omega\) and k

BHTE

SAR /CAD-software

–

16

MRI

LITT

Adjoint-Newton function

\(\omega\) and k (non-linear)

BHTE

SAR / FEM

9

This work

MRI

MWA

Levenberg-Marquardt

D and \(T_{max}\)

BHTE

FDM

1.05±0.26

  1. AEKF, adaptive extended Kalman filter; D, thermal diffusivity; \(\alpha\), energy absorption rate; \(\omega\), perfusion; k, thermal conductivity; FEM, finite elements method; SAR, specific absorption rate.
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