Slope values <i>b</i>, with subscript definitions 1 = On/cOn and 2 = Off/cOff states, and comparison results performed on experimental datasets.

<p>Slope values <i>b</i>, with subscript definitions 1 = On/cOn and 2 = Off/cOff states, and comparison results performed on experimental datasets.</p

Experimental values used to calculate the spin-power and resulting temperature rate, with the electronic spin relaxation times <i>τ</i>_1<i>e</i> and <i>τ</i>_2<i>e</i> obtained from Rast and Atsarkin [12, 13].

<p>Experimental values used to calculate the spin-power and resulting temperature rate, with the electronic spin relaxation times <i>τ</i>_1<i>e</i> and <i>τ</i>_2<i>e</i> obtained from Rast and Atsarkin [<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0158194#pone.0158194.ref012" target="_blank">12</a>, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0158194#pone.0158194.ref013" target="_blank">13</a>].</p

Model estimates for Dotarem and ProHance treatment-control condition responses.

<p>Model estimates for Dotarem and ProHance treatment-control condition responses.</p

Temperature rate of the DOTA complex as a function of the spin-lattice relaxation time <i>τ</i>_1e.

<p>Temperature rate of the DOTA complex as a function of the spin-lattice relaxation time <i>τ</i>_1e.</p

Model parameters used to fit the pulse and decay responses of the ProHance solution.

<p>Model parameters used to fit the pulse and decay responses of the ProHance solution.</p

Mean temperature rise over a ninety second interval for the six tested substances, with each mean value obtained over thirty experiments and a linear regression line fitted.

<p>Standard error bars shown at every 8 s.</p

Model estimate of total-power, Ohmic loss, spin-power and spin-lattice relaxation time <i>τ</i>_1e for Dotarem and ProHance.

<p>Model estimate of total-power, Ohmic loss, spin-power and spin-lattice relaxation time <i>τ</i>_1e for Dotarem and ProHance.</p

Specific heat capacity of Dotarem and ProHance using pulse and decay modelled data.

<p>Specific heat capacity of Dotarem and ProHance using pulse and decay modelled data.</p

System block diagram of experimental setup.

<p>System block diagram of experimental setup.</p

Experimental and model estimate for the specific heat capacity of ProHance using the average of the pulse (<i>C</i>_Δ) and decay (<i>C</i>_<i>d</i>) response.

<p>Experimental and model estimate for the specific heat capacity of ProHance using the average of the pulse (<i>C</i>_Δ) and decay (<i>C</i>_<i>d</i>) response.</p