Research Article
Multisite Kinetic Modeling of
13
C Metabolic MR
Using [1-
13
C]Pyruvate
Pedro A. Gómez Damián,
1,2,3
Jonathan I. Sperl,
1
Martin A. Janich,
1,4,5
Oleksandr Khegai,
1,5
Florian Wiesinger,
1
Steffen J. Glaser,
5
Axel Haase,
3
Markus Schwaiger,
4
Rolf F. Schulte,
1
and Marion I. Menzel
1
1
GE Global Research, 85748 Garching bei M¨ unchen, Germany
2
Medical Engineering, Tecnol´ ogico de Monterrey, 64849 Monterrey, NL, Mexico
3
Medical Engineering, Technische Universit¨ at M¨ unchen, 85748 Garching bei M¨ unchen, Germany
4
Nuclear Medicine, Technische Universit¨ at M¨ unchen, 81675 Munich, Germany
5
Chemistry, Technische Universit¨ at M¨ unchen, 85748 Garching bei M¨ unchen, Germany
Correspondence should be addressed to Marion I. Menzel; menzel@ge.com
Received 30 August 2014; Revised 6 November 2014; Accepted 13 November 2014; Published 8 December 2014
Academic Editor: David Maintz
Copyright © 2014 Pedro A. G´ omez Dami´ an et al. his is an open access article distributed under the Creative Commons
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is
properly cited.
Hyperpolarized
13
C imaging allows real-time in vivo measurements of metabolite levels. Quantiication of metabolite conversion
between [1-
13
C]pyruvate and downstream metabolites [1-
13
C]alanine, [1-
13
C]lactate, and [
13
C]bicarbonate can be achieved through
kinetic modeling. Since pyruvate interacts dynamically and simultaneously with its downstream metabolites, the purpose of this
work is the determination of parameter values through a multisite, dynamic model involving possible biochemical pathways
present in MR spectroscopy. Kinetic modeling parameters were determined by itting the multisite model to time-domain dynamic
metabolite data. he results for diferent pyruvate doses were compared with those of diferent two-site models to evaluate the
hypothesis that for identical data the uncertainty of a model and the signal-to-noise ratio determine the sensitivity in detecting
small physiological diferences in the target metabolism. In comparison to the two-site exchange models, the multisite model yielded
metabolic conversion rates with smaller bias and smaller standard deviation, as demonstrated in simulations with diferent signal-
to-noise ratio. Pyruvate dose efects observed previously were conirmed and quantiied through metabolic conversion rate values.
Parameter interdependency allowed an accurate quantiication and can therefore be useful for monitoring metabolic activity in
diferent tissues.
1. Introduction
While
13
C magnetic resonance spectroscopy (MRS) has been
utilized for in vivo imaging and spectroscopy of metabolism
[1] for a long time, only the development of dynamic nuclear
polarization (DNP) helped to overcome the inherent sensitiv-
ity limit; as through hyperpolarization using DNP followed
by rapid dissolution, the
13
C MR signal can be ampliied by
more than 10,000-fold [2].
One of the most common and viable agents for in vivo
use is [1-
13
C]pyruvate (PYR) [3]. Ater intravenous injection,
it is transported to the observed tissue or organ under
observation, where it is enzymatically metabolized to its
downstream metabolites [1-
13
C]alanine (ALA) by alanine
transaminase (ALT), [1-
13
C]lactate (LAC) by lactate dehy-
drogenase (LDH), and [
13
C]bicarbonate (BC) by pyruvate
dehydrogenase (PDH) to varying extent, depending on tissue
type and predominant metabolic activity. At the same time
PYR is in chemical exchange with [1-
13
C]pyruvate-hydrate
(PYRH). As part of gluconeogenesis, PYR may also be car-
boxylated to oxaloacetate [4].
In order to quantify the metabolic exchange between PYR
and its downstream metabolites, MRS data acquired over a
certain time period ater injection irst require assignment of
Hindawi Publishing Corporation
Radiology Research and Practice
Volume 2014, Article ID 871619, 10 pages
http://dx.doi.org/10.1155/2014/871619