Going Low in a World Going High: The Physiologic Use of Lower Frequency Electron Paramagnetic Resonance

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Applied Magnetic Resonance

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Going Low in a World Going High: The Physiologic Use of Lower Frequency Electron Paramagnetic Resonance Howard J. Halpern1,2 · Boris M. Epel1,2 Received: 5 July 2020 / Revised: 20 August 2020 © Springer-Verlag GmbH Austria, part of Springer Nature 2020

Abstract Yakov Sergeevich Lebedev was a pioneer in high-frequency EPR, taking advantage of the separation of g-factor anisotropy effects from nuclear hyperfine splitting and the higher-frequency molecular motion sensitivity from higher-frequency measurements (Appl Magn Reson 7: 339–362, 1994). This article celebrates a second EPR subfield in which Prof. Lebedev pioneered, EPR imaging (Chem Phys Lett 99: 301–304, 1983). We celebrate the clinical enhancements that are suggested in this low-frequency work and imaging application to animal physiology at lower-thanstandard EPR frequencies. Abbreviations EPR Electron paramagnetic resonance O2 Molecular oxygen pO2 Partial pressure of dissolved molecular oxygen MHz Megahertz, units of ­106 Hz WWII World war two RF Radiofrequency ρ Charge density J Current density σ Material conductivity E Electric field intensity B Magnetic field induction ω Electric and magnetic field temporal angular frequency ν Electric and magnetic field temporal frequency λ Wavelength k Wave number = 2π/λ ε Local material permittivity

* Howard J. Halpern h‑[email protected] 1

Center for EPR Imaging in Vivo Physiology, University of Chicago, Chicago, USA

2

Department of Radiation and Cellular Oncology, University of Chicago, Chicago, USA



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H. J. Halpern, B. M. Epel

μ Local material permeability ESE Electron spin echo SLR Spin lattice relaxation IRESE Inversion recovery electron spin echo, a SLR based but echo detected measurement used in ­pO2 imaging OX071 Also known as ­OX063d24, the spin probe capable of quantitative ­pO2 imaging R1e Longitudinal electron relaxation rate R2e Transverse electron relaxation rate T1e 1/R1e Longitudinal electron relaxation time for signal reduction by 1/e T2e 1/R2e Transverse electron relaxation time for signal reduction by 1/e CW Continuous wave (measurement technique) τ Delay time between (1) the 90° pulse rotating magnetization initially oriented in the direction of the tmain magnetic field to a direction transverse to that direction, allowing regions of higher or lower magnetic field to develop larger or smaller phase delays and (2) the 180° pulse rotating the magnetization about the main magnetic field direction to correct for the local magnetic field inhomogeneities leaving only information from intrinsic transverse relaxation processes. T Delay time between (1) the 180° pulse rotating magnetization initially oriented in the direction of the tmain magnetic field to the opposite direction and (2) the 90° pulse rotating magnetization to a direction transverse to that direction, the beginning of a fixed τ electron spin echo magnetization readout mT Millitesla mT/m Millitesla/meter measure of magnetic field gradient str