Temperature-controlled power modulation compensates for heterogeneous nanoparticle distributions: a computational optimization analysis for magnetic hyperthermia

References

• Dewhirst M, Das S, Stauffer P, et al. Hyperthermia. In: Leonard Gunderson, Joel Tepper editors. Clinical radiation oncology. 2012. p. 385–403.
   Google Scholar
• Baronzio GF, Hager ED. Hyperthermia in cancer treatment: a primer. Boston, MA: Springer US; 2006.
   Google Scholar
• Maier-Hauff K, Ulrich F, Nestler D, et al. Efficacy and safety of intratumoral thermotherapy using magnetic iron-oxide nanoparticles combined with external beam radiotherapy on patients with recurrent glioblastoma multiforme. J Neurooncol. 2011;103:317–324.
   PubMed Web of Science ®Google Scholar
• Marchal S, Hor AE, Millard M, et al. Anticancer drug delivery: an update on clinically applied nanotherapeutics. Drugs. 2015;75:1601–1611.
   PubMed Web of Science ®Google Scholar
• Ivkov R. Magnetic nanoparticle hyperthermia: a new frontier in biology and medicine?. Int J Hyperthermia. 2013;29:703–705.
   PubMed Web of Science ®Google Scholar
• Pankhurst QA, Connolly J, Jones SK, et al. Applications of magnetic nanoparticles in biomedicine. J Phys D: Appl Phys. 2003;36:R167–R181.
   Web of Science ®Google Scholar
• Johannsen M, Thiesen B, Gneveckow U, et al. Thermotherapy using magnetic nanoparticles combined with external radiation in an orthotopic rat model of prostate cancer. Prostate. 2006;66:97–104.
   PubMed Web of Science ®Google Scholar
• Gilchrist RK, Medal R, Shorey WD, et al. Selective inductive heating of lymph nodes. Ann Surg. 1957;146:596–606.
   PubMed Web of Science ®Google Scholar
• Dennis CL, Ivkov R. Physics of heat generation using magnetic nanoparticles for hyperthermia. Int J Hyperthermia. 2013;29:715–729.
   PubMed Web of Science ®Google Scholar
• Johannsen M, Gneveckow U, Thiesen B, et al. Thermotherapy of prostate cancer using magnetic nanoparticles: feasibility, imaging, and three-dimensional temperature distribution. Eur Urol. 2007;52:1653–1662.
   PubMed Web of Science ®Google Scholar
• Johannsen M, Gneveckow U, Taymoorian K, et al. Morbidity and quality of life during thermotherapy using magnetic nanoparticles in locally recurrent prostate cancer: results of a prospective phase I trial. Int J Hyperth. 2007;23:315–323. (May):
   PubMed Web of Science ®Google Scholar
• Johannsen M, Thiesen B, Wust P, et al. Magnetic nanoparticle hyperthermia for prostate cancer. Int J Hyperth. 2010;26:790–795.
   PubMed Web of Science ®Google Scholar
• Johannsen M, Gneveckow U, Eckelt L, et al. Clinical hyperthermia of prostate cancer using magnetic nanoparticles: presentation of a new interstitial technique. Int J Hyperthermia. 2005;21:637–647. (March 2016):
   PubMed Web of Science ®Google Scholar
• Attaluri A, Kandala SK, Wabler M, et al. Magnetic nanoparticle hyperthermia enhances radiation therapy: A study in mouse models of human prostate cancer. Int J Hyperthermia. 2015;31:359–374.
   PubMed Web of Science ®Google Scholar
• Salloum M, Ma R, Zhu L. Enhancement in treatment planning for magnetic nanoparticle hyperthermia: Optimization of the heat absorption pattern. Int J Hyperth. 2009;25:309–321.
   PubMed Web of Science ®Google Scholar
• Andrä W, d'Ambly CG, Hergt R, et al. Temperature distribution as function of time around a small spherical heat source of local magnetic hyperthermia. J Magn Magn Mater. 1999;194:197–203.
   Web of Science ®Google Scholar
• Bagaria HG, Johnson DT. Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment. Int J Hyperth. 2005;21:57–75.
   PubMed Web of Science ®Google Scholar
• Durkee JW, Antich PP. Exact solutions to the multi-region time-dependent bioheat equation with transient heat sources and boundary conditions. Phys Med Biol. 1991;36:345–368.
   Web of Science ®Google Scholar
• Giordano MA, Gutierrez G, Rinaldi C. Fundamental solutions to the bioheat equation and their application to magnetic fluid hyperthermia. Int J Hyperth. 2010;26:475–484.
   PubMed Web of Science ®Google Scholar
• Fasla B, Benmouna Ŕ, Benmouna M. Modeling of tumor’s tissue heating by nanoparticles. J Appl Phys. 2010;108. https://doi.org/10.1063/1.3525089
   Web of Science ®Google Scholar
• Xu R, Yu H, Zhang Y, et al. Three-dimensional model for determining inhomogeneous thermal dosage in a liver tumor during arterial embolization hyperthermia incorporating magnetic nanoparticles. IEEE Trans Magn. 2009;45:3085–3091.
   Web of Science ®Google Scholar
• Attar MM, Haghpanahi M, Amanpour S, et al. Analysis of bioheat transfer equation for hyperthermia cancer treatment. J Mech Sci Technol. 2014;28:763–771.
   Web of Science ®Google Scholar
• Pavel M, Stancu A. Ferromagnetic nanoparticles dose based on tumor size in magnetic fluid hyperthermia cancer therapy. IEEE Trans Magn. 2009;45:5251–5254.
   Web of Science ®Google Scholar
• Candeo A, Dughiero F. Numerical fem models for the planning of magnetic induction hyperthermia treatments with nanoparticles. IEEE Trans Magn. 2009;45:1658–1661.
   Web of Science ®Google Scholar
• Mital M, Tafreshi HV. A methodology for determining optimal thermal damage in magnetic nanoparticle hyperthermia cancer treatment. Int J Numer Meth Biomed Eng. 2012;28:205–213.
   PubMed Web of Science ®Google Scholar
• Bellizzi G, Bucci OM, Ii F. On the optimal choice of the exposure conditions and the nanoparticle features in magnetic nanoparticle hyperthermia. Int J Hyperthermia. 2010;26:389–403.
   PubMed Web of Science ®Google Scholar
• Bellizzi G, Bucci OM, Chirico G. Numerical assessment of a criterion for the optimal choice of the operative conditions in magnetic nanoparticle hyperthermia on a realistic model of the human head. Int J Hyperthermia. 2016;2:688–703.
   Web of Science ®Google Scholar
• Koch CM, Winfrey AL. FEM optimization of energy density in tumor hyperthermia power dissipation. Ieee Trans Magn. 2014;50:1.
   Web of Science ®Google Scholar
• Soetaert F, Dupré L, Ivkov R, et al. Computational evaluation of amplitude modulation for enhanced magnetic nanoparticle hyperthermia. Biomed Tech. 2015;60:491–504.
   PubMed Web of Science ®Google Scholar
• Salomir R, Vimeux FC, de Zwart JA, et al. Hyperthermia by MR-guided focused ultrasound: accurate temperature control based on fast MRI and a. Magn Reson Med. 2000;43:342–347.
   PubMed Web of Science ®Google Scholar
• Mougenot C, Quesson B, De Senneville BD, et al. Three-dimensional spatial and temporal temperature control with MR thermometry-guided focused ultrasound (MRgHIFU). Magn Reson Med. 2009;61:603–614.
   PubMed Web of Science ®Google Scholar
• Haemmerich D, Webster JG. Automatic control of finite element models for temperature-controlled radiofrequency ablation. Biomed Eng Online. 2005;4:42.
   PubMed Web of Science ®Google Scholar
• Ebert JL, Van Der Linden GW, De Roover D, et al. Model-based temperature control of heated plates. 18th Int Conf Adv Therm Process Semicond RTP 2010. 2010;(1):54–61.
   Google Scholar
• Astrom KJ, Hagglund T. PID controllers: theory, design and tuning. Instrument Society of America. North Carolina, USA: Research Triangle. 1995; 343.
   Google Scholar
• Wang J. Simulation of Magnetic Nanoparticle Hyperthermia in Prostate Tumors. MSE Thesis, Department of Mechanical Engineering, Johns Hopkins University. 2014.
   Google Scholar
• Bordelon DE, Cornejo C, Grttner C, et al. Magnetic nanoparticle heating efficiency reveals magneto-structural differences when characterized with wide ranging and high amplitude alternating magnetic fields. J Appl Phys. 2011;109. https://doi.org/10.1063/1.3597820
   Web of Science ®Google Scholar
• American Society of Mechanical Engineers. Guide for verification and validation in computational solid mechanics. New York, USA: ASME. 2006.
   Google Scholar
• Committee V 20. Standard for verification and validation in computational fluid mechanics and heat transfer. New York: ASME; 2009.
   Google Scholar
• Datta A, Rakesh V. An introduction to modeling of transport processes: application to biomedical systems. Cambridge, UK: Cambridge University Press; 2010.
   Google Scholar
• Pennes HH. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol. 1948;1:93–122.
   PubMed Web of Science ®Google Scholar
• Hasgall P, Neufeld E, Gosselin M, et al. IT’IS database for thermal and electromagnetic parameters of biological tissues. Version 2.6. 2015. https://itis.swiss/virtual-population/tissue-properties/downloads/database-v2-6/
   Google Scholar
• Buckley DL, Roberts C, Parker GJM, et al. Prostate cancer: evaluation of vascular characteristics with dynamic contrast-enhanced T1-weighted MR imaging–initial experience. Radiology. 2004;233:709–715.
   PubMed Web of Science ®Google Scholar
• Cetingül MP, Herman C. A heat transfer model of skin tissue for the detection of lesions: sensitivity analysis. Phys Med Biol. 2010;55:5933–5951.
   PubMed Web of Science ®Google Scholar
• Duck F. Physical properties of tissues: a comprehensive reference book. London, UK: Academic Press; 2013.
   Google Scholar
• Torvi DA, Dale JD. A finite element model of skin subjected to a flash fire. J Biomech Eng. 1994;116:250–255.
   PubMed Web of Science ®Google Scholar
• Folkman J. The vascularization of tumors. Sci Am. 1976;234:58–73.
   PubMed Web of Science ®Google Scholar
• He X, McGee S, Coad JE, et al. Investigation of the thermal and tissue injury behaviour in microwave thermal therapy using a porcine kidney model. Int J Hyperthermia. 2004;20:567–593.
   PubMed Web of Science ®Google Scholar
• Schutt DJ, Haemmerich D. Effects of variation in perfusion rates and of perfusion models in computational models of radio frequency tumor ablation. Med Phys. 2008;35:3462–3470.
   PubMed Web of Science ®Google Scholar
• Rylander MN, Feng Y, Zhang Y, et al. Optimizing heat shock protein expression induced by prostate cancer laser therapy through predictive computational models. J Biomed Opt. 2006;11:41113.
   PubMed Web of Science ®Google Scholar
• Sapareto SA, Dewey WC. Thermal dose determination in cancer therapy. Int J Radiat Oncol Biol Phys. 1984;10:787–800.
   PubMed Web of Science ®Google Scholar
• Dewhirst MW, Viglianti BL, Lora-Michiels M, et al. Basic principles of thermal dosimetry and thermal thresholds for tissue damage from hyperthermia. Int J Hyperthermia. 2003;19:267–294.
   PubMed Web of Science ®Google Scholar
• COMSOL Webinar [Internet]. [cited 2017 Aug 1]. Available from https://www.comsol.com/video/simulating-feedback-control-thermal-systems
   Google Scholar
• Arora D, Cooley D, Perry T, et al. Direct thermal dose control of constrained focused ultrasound treatments: phantom and in vivo evaluation. Phys Med Biol. 2005;50:1919–1935.
   PubMed Web of Science ®Google Scholar
• Youla DC, Bongiorno JJ, Lu CN. Single-loop feedback-stabilization of linear multivariable dynamical plants. Automatica. 1974;10:159–173.
   Web of Science ®Google Scholar
• PARDISO solver [Internet]. [cited 2018 Jan 8]. Available from www.pardiso-project.org
   Google Scholar
• Jansen KE, Whiting CH, Hulbert GM. A generalized-α method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Comput Methods Appl Mech Eng. 2000;190:305–319. (May 2000):
   Web of Science ®Google Scholar
• van der Koijk JF, Lagendijk JJ, Crezee J, et al. The influence of vasculature on temperature distributions in MECS interstitial hyperthermia: importance of longitudinal control. Int J Hyperthermia. 1997;13:365–385.
   PubMed Web of Science ®Google Scholar
• Hedayati M, Attaluri A, Bordelon D, et al. New iron-oxide particles for magnetic nanoparticle hyperthermia: an in-vitro and in-vivo pilot study. 2013;8584:858404.
   Google Scholar
• Leopold KA, Dewhirst MW, Samulski TV, et al. Cumulative minutes with T90 greater than tempindex is predictive of response of superficial malignancies to hyperthermia and radiation. Int J Radiat Oncol Biol Phys. 1993;25:841–847.
   PubMed Web of Science ®Google Scholar
• Attaluri A, Ma R, Qiu Y, et al. Nanoparticle distribution and temperature elevations in prostatic tumours in mice during magnetic nanoparticle hyperthermia. Int J Hyperth. 2011;27:491–502.
   PubMed Web of Science ®Google Scholar
• Ivkov R, DeNardo SJ, Daum W, et al. Application of high amplitude alternating magnetic fields for heat induction of nanoparticles localized in cancer. Clin Cancer Res. 2005;11:7093–7103.
   PubMed Web of Science ®Google Scholar
• DeNardo SJ, DeNardo GL, Natarajan A, et al. Thermal dosimetry predictive of efficacy of 111In-ChL6 nanoparticle AMF-induced thermoablative therapy for human breast cancer in mice. J Nucl Med. 2007;48:437–444.
   PubMed Web of Science ®Google Scholar
• Jordan A, Wust P, Fählin H, et al. Inductive heating of ferrimagnetic particles and magnetic fluids: physical evaluation of their potential for hyperthermia. Int J Hyperthermia. 1993;9:51–68.
   PubMed Web of Science ®Google Scholar
• Stauffer PR, Cetas TC, Jones RC. Magnetic induction heating of ferromagnetic implants for inducing localized hyperthermia in deep-seated tumors. IEEE Trans Biomed Eng. 1984;31:235–251.
   PubMed Web of Science ®Google Scholar