AIF,

EX_DCEMRI_t0,

EX_DCEMRI_t0.rda, EX_DCEMRI_t1.rda

EX_DCEMRI_t1,

TUM_1,

TUM_2,

TUM_3,

delta,

ex_dcemri

sigma,

times,


Each dataset contains a variable <code>ex_dcemri</code> which is a list containing
#' <ul>
<li> <code>AIF</code>, numeric vector, the averaged enhancement curve recorded in the aorta, the convolution kernel
  </li>
<li> <code>TUM_1</code>, <code>TUM_2</code>, <code>TUM_3</code>, numeric vectors, three averaged enhancement curves recorded in homogenous regions in the tumor, the observations
  </li>
<li> <code>times</code>, numeric vector, the observation times
  </li>
<li> <code>sigma</code>, numeric,  the noise level
  </li>
<li> <code>delta</code>, numeric, equals 0, a time shift assumed to be less than 1 time unit
</li>
</ul><p></p><p></p>

data

Solves the problem of Laplace deconvolution with noisy discrete
non-equally spaced observations on a finite time interval based on expansions
of the convolution kernel, the unknown function and the observed signal over
Laguerre functions basis. It implements the methodology proposed in the paper
"Laplace deconvolution on the basis of time domain data and its application to
Dynamic Contrast Enhanced imaging" by F. Comte, C-A. Cuenod, M. Pensky and Y.
Rozenholc in ArXiv (http://arxiv.org/abs/1405.7107).

Yves Rozenholc

LaplaceDeconv

Laplace Deconvolution with Noisy Discrete Non-Equally Spaced
Observations on a Finite Time Interval

EX_DCEMRI_t0.rda, EX_DCEMRI_t1.rda function


Each dataset contains a variable <code>ex_dcemri</code> which is a list containing
#' <ul>
<li> <code>AIF</code>, numeric vector, the averaged enhancement curve recorded in the aorta, the convolution kernel
  </li>
<li> <code>TUM_1</code>, <code>TUM_2</code>, <code>TUM_3</code>, numeric vectors, three averaged enhancement curves recorded in homogenous regions in the tumor, the observations
  </li>
<li> <code>times</code>, numeric vector, the observation times
  </li>
<li> <code>sigma</code>, numeric,  the noise level
  </li>
<li> <code>delta</code>, numeric, equals 0, a time shift assumed to be less than 1 time unit
</li>
</ul>



Data from two Dynamical Contrast Enhanced Computer Tomography (DCE-CT) image sequences realized one patient of the cohort REMISCAN before treatment starts (t0) and after 15 days of treatment (t1). These are the real data used to illustrate the paper in References.

EX_DCEMRI_t0.rda, EX_DCEMRI_t1.rda: Data from two Dynamical Contrast Enhanced Computer Tomography (DCE-CT) image sequences realized one patient of the cohort REMISCAN before treatment starts (t0) and after 15 days of treatment (t1). These are the real data used to illustrate the paper in References.

Description

Usage

Arguments

References