A mathematical model of superparamagnetic iron oxide nanoparticle magnetic behavior to guide the design of novel nanomaterials
Source abstract
Abstract
Superparamagnetic iron oxide nanoparti- cles (SPIONs) exhibit unique magnetic properties that make them highly efficacious as MR imaging contrast agents and laboratory diagnostic tools. The complex- ity of SPION magnetic behavior and the multiple parameters affecting this behavior complicate attempts at fabricating particles suited for a particular purpose. A mathematical model of SPION magnetic properties derived from experimental relationships and first principles can be an effective design tool for predicting particle behavior before materials are fabricated. Here, a novel model of SPION magnetic properties is described, using particle size and applied magnetic field as the primary variable inputs. The model is capable of predicting particle susceptibility and non-linear particle magnetization as well as describing the vector magnetic field produced by a single particle in an applied field. Magnetization values produced by the model agree with recent experimental measurements of particle magnetiza- tions. The model is used to predict the complex magnetic behavior of clustered magnetic particles in simulated in vivo environment; specifically, interac- tions between the clusters and water molecules. The model shows that larger particles exhibit more linear magnetic behavior and stronger magnetization and that clusters of smaller particles allow for more numerous SPION-water molecule interactions and more uniform cluster magnetizations.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Iron oxide chemistry and applications · Characterization and Applications of Magnetic Nanoparticles · Nanoparticle-Based Drug Delivery
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (37)
Show source-provided references
1. Arbab AS, Yocum GT, Rad AM, Khakoo AY, Fellowes V, Read EJ, Frank JA (2005) Labeling of cells with ferumoxides–protamine sulfate complexes does not inhibit function or differentiation capacity of hematopoietic or mesenchymal stem cells. NMR Biomed 18(8):553–559. doi: 10.1002/Nbm.99110.1002/nbm.991 ↗
2. Artmann B (1999) Euclid: the creation of mathematics. Springer, New York10.1007/978-1-4612-1412-0 ↗
3. Barinov GI, Aplesnin SS (2006) Change in the critical exponent of magnetization in maghemite in the temperature range of the structural phase transition. Phys Solid State 48(1):84–87. doi: 10.1134/S106378340601017310.1134/S1063783406010173 ↗
4. Bellin MF, Roy C, Kinkel K, Thoumas D, Zaim S, Vanel D, Tuchmann C, Richard F, Jacqmin D, Delcourt A, Challier E, Lebret T, Cluzel P (1998) Lymph node metastases: safety and effectiveness of MR imaging with ultrasmall superparamagnetic iron oxide particles—initial clinical experience. Radiology 207(3):799–80810.1148/radiology.207.3.9609907 ↗
5. Brass P, Moser WOJ, Pach J (2005) Research problems in discrete geometry. Springer, New York
6. Bulte JWM, Kraitchman DL (2004) Iron oxide MR contrast agents for molecular and cellular imaging. NMR Biomed 17(7):484–499. doi: 10.1002/Nbm.92410.1002/nbm.924 ↗
7. Butler RF, Banerjee SK (1975) Theoretical single-domain grain-size range in magnetite and titanomagnetite. J Geophys Res 80(29):4049–405810.1029/JB080i029p04049 ↗
8. Dave SR, Gao XH (2009) Monodisperse magnetic nanoparticles for biodetection, imaging, and drug delivery: a versatile and evolving technology. Wiley Interdiscip Rev Nanomed Nanobiotechnol 1(6):583–609. doi: 10.1002/Wnan.5110.1002/wnan.51 ↗
9. Euclid, Todhunter I, Simson R (1933) The elements of Euclid. J.M. Dent & Sons Ltd., London
10. Gilbert I, Millan A, Palacio F, Falqui A, Snoeck E, Serin V (2003) Magnetic properties of maghemite nanoparticles in a polyvinylpyridine matrix. Polyhedron 22(14–17):2457–2461. doi: 10.1016/S0277-5387(03)00246-810.1016/S0277-5387(03)00246-8 ↗
11. Gleich B, Weizenecker R (2005) Tomographic imaging using the nonlinear response of magnetic particles. Nature 435(7046):1214–1217. doi: 10.1038/Nature0380810.1038/nature03808 ↗
12. Griffiths DJ (1999) Introduction to electrodynamics, 3rd edn. Prentice Hall, Upper Saddle River
13. Gupta AK, Gupta M (2005) Synthesis and surface engineering of iron oxide nanoparticles for biomedical applications. Biomaterials 26(18):3995–4021. doi: 10.1016/j.biomaterials.2004.10.01210.1016/j.biomaterials.2004.10.012 ↗
14. Hales TC (2005) A proof of the Kepler conjecture. Ann Math 162(3):1065–118510.4007/annals.2005.162.1065 ↗
15. Harisinghani MG, Jhaveri KS, Weissleder R, Schima W, Saini S, Hahn PF, Mueller PR (2001) MRI contrast agents for evaluating focal hepatic lesions. Clin Radiol 56(9):714–72510.1053/crad.2001.0764 ↗
16. Jonsson P, Jonsson T, Garcia-Palacios JL, Svedlindh P (2000) Nonlinear dynamic susceptibilities of interacting and noninteracting magnetic nanoparticles. J Magn Magn Mater 222(1–2):219–22610.1016/S0304-8853(00)00557-6 ↗
17. Josephson L, Perez JM, Weissleder R (2001) Magnetic nanosensors for the detection of oligonucleotide sequences. Angew Chem Int Ed 40(17):3204–320610.1002/1521-3773(20010903)40:17<3204::AID-ANIE3204>3.0.CO;2-H ↗
18. Lanza GM, Winter PM, Caruthers SD, Hughes MS, Marsh JN, Yu X, Fuhrhop RW, Zhang HY, Allen JS, Scott MJ, Wickline SA (2003) Molecular imaging and targeted drug delivery: a new paradigm in medicine. Abstr Pap Am Chem Soc 226:U473
19. Liu T, Guo L, Tao Y, Hu TD, Xie YN, Zhang J (1999) Bondlength alternation of nanoparticles Fe2O3 coated with organic surfactants probed by EXAFS. Nanostruct Mater 11(8):1329–133410.1016/S0965-9773(99)00425-0 ↗
20. Millan A, Urtizberea A, Silva NJO, Palacio F, Amaral VS, Snoeck E, Serin V (2007) Surface effects in maghemite nanoparticles. J Magn Magn Mater 312(1):L5–L9. doi: 10.1016/j.jmmm.2006.09.01110.1016/j.jmmm.2006.09.011 ↗
21. Muller R, Steinmetz H, Zeisberger M, Schmidt C, Dutz S, Hergt R, Gawalek W (2006) Precipitated iron oxide particles by cyclic growth. Zeitschrift Fur Physikalische Chemie Int J Res Phys Chem Chem Phys 220(1):51–57. doi: 10.1524/zpch.2006.220.1.51
22. Nicholls P (2000) Introduction: the biology of the water molecule. Cell Mol Life Sci 57(7):987–99210.1007/PL00000751 ↗
23. Perez JM, O’Loughin T, Simeone FJ, Weissleder R, Josephson L (2002) DNA-based magnetic nanoparticle assembly acts as a magnetic relaxation nanoswitch allowing screening of DNA-cleaving agents. J Am Chem Soc 124(12):2856–2857. doi: 10.1021/Ja017773n10.1021/ja017773n ↗
24. Reimer P, Weissleder R, Lee AS, Wittenberg J, Brady TJ (1990) Receptor imaging—application to MR imaging of liver-cancer. Radiology 177(3):729–73410.1148/radiology.177.3.2243978 ↗
25. Roca AG, Veintemillas-Verdaguer S, Port M, Robic C, Serna CJ, Morales MP (2009) Effect of nanoparticle and aggregate size on the relaxometric properties of MR contrast agents based on high quality magnetite nanoparticles. J Phys Chem B 113(19):7033–7039. doi: 10.1021/Jp807820s10.1021/jp807820s ↗
26. Simon GH, von Vopelius-Feldt J, Fu YJ, Schlegel J, Pinotek G, Wendland MF, Chen MH, Daldrup-Link HE (2006) Ultrasmall supraparamagnetic iron oxide-enhanced magnetic resonance imaging of antigen-induced arthritis—a comparative study between SHUSSSC, ferumoxtran-10, and ferumoxytol. Invest Radiol 41(1):45–5110.1097/01.rli.0000191367.61306.83 ↗
27. Sjogren CE, Johansson C, Naevestad A, Sontum PC, BrileySaebo K, Fahlvik AK (1997) Crystal size and properties of superparamagnetic iron oxide (SPIO) particles. Magn Reson Imaging 15(1):55–6710.1016/S0730-725X(96)00335-9 ↗
28. Stark DD, Weissleder R, Elizondo G, Hahn PF, Saini S, Todd LE, Wittenberg J, Ferrucci JT (1988) Superparamagnetic iron-oxide—clinical-application as a contrast agent for MR imaging of the liver. Radiology 168(2):297–30110.1148/radiology.168.2.3393649 ↗
29. Stillman AE, Wilke N, Li DB, Haacke EM, McLachlan S (1996) Ultrasmall superparamagnetic iron oxide to enhance MRA of the renal and coronary arteries: studies in human patients. J Comput Assist Tomogr 20(1):51–5510.1097/00004728-199601000-00011 ↗
30. Tanimoto A, Oshio K, Suematsu M, Pouliquen D, Stark DD (2001) Relaxation effects of clustered particles. J Magn Reson Imaging 14(1):72–7710.1002/jmri.1153 ↗
31. Webb A (ed) (2003) Introduction to biomedical imaging. IEEE Press series in biomedical engineering. Wiley, Hoboken
32. Weissleder R, Hahn PF, Stark DD, Elizondo G, Saini S, Todd LE, Wittenberg J, Ferrucci JT (1988) Superparamagnetic iron-oxide—enhanced detection of focal splenic tumors with MR imaging. Radiology 169(2):399–40310.1148/radiology.169.2.3174987 ↗
33. Weissleder R, Elizondo G, Wittenberg J, Lee AS, Josephson L, Brady TJ (1990) Ultrasmall superparamagnetic iron-oxide—an intravenous contrast agent for assessing lymph-nodes with MR imaging. Radiology 175(2):494–49810.1148/radiology.175.2.2326475 ↗
34. Winkler PF, Walther FG, Myint T, Kleppner D (1972) Magnetic-moment of proton in Bohr magnetons. Phys Rev A 5(1):8310.1103/PhysRevA.5.83 ↗
35. Woo K, Lee HJ (2004) Synthesis and magnetism of hematite and maghemite nanoparticles. J Magn Magn Mater 272:E1155–E1156. doi: 10.1016/j.jmmm.2003.12.20110.1016/j.jmmm.2003.12.201 ↗
36. Woo K, Hong J, Choi S, Lee HW, Ahn JP, Kim CS, Lee SW (2004) Easy synthesis and magnetic properties of iron oxide nanoparticles. Chem Mater 16(14):2814–2818. doi: 10.1021/Cm049552x10.1021/cm049552x ↗
37. Zelenakova A, Kovac J, Zelenak V (2010) Magnetic properties of Fe2O3 nanoparticles embedded in hollows of periodic nanoporous silica. J Appl Phys 108(3):Artn 034323. doi: 10.1063/1.346674810.1063/1.3466748 ↗