Mathematical modeling of irreversible electroporation for treatment planning

Technology in Cancer Research and Treatment

Volumn 6, Issue 4, 2007, Pages 275-286

  Edd, Jon F ^a   Davalos, Rafael V ^b  

^a HARVARD MEDICAL SCHOOL   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

And cancer therapy; Complete regression; Electric pulses; Electropermeabilization; Pulsed electric fields (PEFs); Tumor ablation

Indexed keywords

ARTICLE; CANCER THERAPY; ELECTRIC CURRENT; ELECTROCHEMOTHERAPY; ELECTRODE; ELECTROPORATION; MATHEMATICAL MODEL; TREATMENT PLANNING;

EID: 34548354483     PISSN: 15330346     EISSN: None     Source Type: Journal    
DOI: 10.1177/153303460700600403     Document Type: Article

References (47)

1. Davalos, R. V., Mir, L. M., and Rubinsky, B. Tissue ablation with irreversible electroporation. Annals of Biomedical Engineering 33, 223-231 (2005).
2. Edd, J., et al. In vivo results of a new focal tissue ablation technique: irreversible electroporation. IEEE Transactions on Biomedical Engineering 53, 1409-1415 (2006).
3. Rubinsky, B., Onik, G., and Mikus, P. Irreversible electroporation: A new ablation modality - clinical implications. Technology in Cancer Research and Treatment. 6, 37-48 (2007).
4. Weaver, J. C. and Chizmadzhev, Y. A. Theory of electroporation: a review. Bioelectrochem Bioenerg 41, 135-160 (1996).
5. Weaver, J. C. Electroporation of Biological Membranes from Multicellular to Nano Scales. IEEE Transactions on Dielectrics and Electrical Insulation 10, 754-768 (2003).
6. Sale, A. J. and Hamilton, W. A. Effects of high electric fields on micro-organisms. 1. Killing of bacteria and yeasts. Biochimica et Biophysica Acta 148, 781-788 (1967).
7. DeBruin, K. A. and Krassowska, W. Modeling electroporation in a single cell I. Effects of field strength and rest potential. Biophysical Journal 77, 1213-1224 (1999).
8. Davalos, R., Rubinsky, B., and Huang, Y. Electroporation: bio-electrochemical mass transfer at the nano Scale. Microscale Thermophysical Engineering 4, 147-159 (2000).
9. Diaz-Rivera, R. E. and Rubinsky, B. Electrical and thermal characterization of nanochannels between a cell and a silicon based micropore. Biomed Microdevices 8, 25-34 (2006).
10. Khine, M., et al. A single cell electroporation chip. Lab Chip 5, 38-43 (2005).
11. Gowrishankar, T. R. and Weaver, J. C. An approach to electrical modeling of single and multiple cells. Proc Natl Acad Sci USA 100, 3203-3208 (2003).
12. Davalos, R. V., Otten, D. M., and Rubinsky, B. A feasibility study for electrical impedance tomography as a means to monitor tissue electroporation for molecular medicine. IEEE Transactions on Biomedical Engineering 49, 400-403 (2002).
13. Pavlin, M. and Miklavcic, D. Effective Conductivity of a Suspension of Permeabilized Cells: A Theoretical Analysis. Biophysical Journal 85, 719-729 (2003).
14. Gehl, J., et al. In vivo electroporation of skeletal muscle: threshold, efficacy and relation to electric field distribution. Biochimica et Biophysica Acta (BBA) 1428, 223-240 (1999).
15. Okino, M. and Mohri, H. Effects of a high-voltage electrical impulse and an anticancer drug on in vivo growing tumors. Japanese Journal of Cancer Research 78, 1319-1321 (1987).
16. Mir, L. M., et al. Electrochemotherapy, a novel antitumor treatment: first clinical trial. C R Acad Sci Ser III 313, 613-618 (1991).
17. Mir, L. M., et al. Electrochemotherapy potentiation of antitumour effect of bleomycin by local electric pulses. European Journal of Cancer 27, 68-72 (1991).
18. Mir, L. M., Therapeutic perspectives of in vivo cell electropermeabilization. Bioelectrochemistry 53, 1-10 (2001).
19. Mir, L. M. and Orlowski, S. Mechanisms of electrochemotherapy. Advanced drug delivery reviews 35, 107-118 (1999).
20. Miklavcic, D., et al. The importance of electric field distribution for effective in vivo electroporation of tissues. Biophysical Journal 74, 2152-2158 (1998).
21. Miklavcic, D., et al. A validated model of in vivo electric field distribution in tissues for electrochemotherapy and for DNA electrotransfer for gene therapy. Biochimica et Biophysica Acta 1523, 73-83 (2000).
22. Davalos, R. V., Rubinsky, B., and Mir, L.M. Theoretical analysis of the thermal effects during in vivo tissue electroporation. Bioelectrochemistry 61, 99-107 (2003).
23. Becker, S. M. and Kuznetsov, A. V. Thermal Damage Reduction Associated with in Vivo Skin Electroporation: A Numerical Investigation Justifying Aggressive Pre-Cooling. International Journal of Heat and Mass Transfer 50, 105-116 (2007).
24. Becker, S. M. and Kuznetsov, A. V. Numerical modeling of in vivo plate electroporation thermal dose assessment. Journal of Biomechanical Engineering 128, 76-84 (2006).
25. Weaver, J. C., Vaughana, T. E., and Chizmadzhev, Y. Theory of electrical creation of aqueous pathways across skin transport barriers. Advanced Drug Delivery Reviews 35, 21-39 (1999).
26. Martin, G. T., Pliquett, U. F., and Weaver, J. C. Theoretical analysis of localized heating in human skin subjected to high voltage pulses. Bioelectrochemistry 57, 55-64 (2002).
27. Lee, R. C., Zhang, D., and Hannig, J. Biophysical Injury Mechanisms in Electrical Shock Trauma, in Ann Rev Biomed Eng, pp. 477-509. Eds., M. L. Yarmish, K. R. Diller, and M. Toner. Annual Review Press: Palo Alto (2000).
28. Weaver, J. C., Electroporation of cells and tissues. IEEE Transactions on Plasma Science 28, 24-33 (2000).
29. Nuccitelli, R., et al. Nanosecond pulsed electric fields cause melanomas to self-destruct. Biochemical and Biophysical Research Communications 343, 351-353 (2006).
30. Pennes, H. H. Analysis of tissue and arterial blood temperatures in the resting forearm. J Appl Physiol 1, 93-122 (1948).
31. Somersalo, E., Cheney, M., and Isaacson, D. Existence and uniqueness for electrode models for electric current computed tomography. Siam J Appl Math 52, 1023-40 (1992).
32. Ramirez, L. H., et al. Electrochemotherapy on liver tumours in rabbits. Br J Cancer 77, 2104-2111 (1998).
33. Gehl, J., Skovsgaard, T., and Mir, L. M. Vascular reactions to in vivo electroporation: characterization and consequences for drug and gene delivery. Biochimica et Biophysica Acta 1569, 51-58 (2002).
34. Sersa, G., et al. Tumour blood flow changes induced by application of electric pulses. Eur J Cancer 35, 672-677 (1999).
35. Duck, F. A. Physical Properties of Tissues: A Comprehensive Reference Book. San Diego: Academic Press (1990).
36. Bhatt, D. L., Gaylor, D. C., and Lee, R. C. Rhabdomyolysis due to pulses electric fields. Plast Reconstr Surg 86, 1-11 (1990).
37. Davalos, R. V., et al. Electrical impedance tomography for imaging tissue electroporation. IEEE Transactions on Biomedical Engineering 51, 761-767 (2004).
38. Miklavcic, D., et al. Sequential Finite Element Model of Tissue Electropermeabilisation. in Proceedings of the 26th Annual International Conference of the IEEE EMBS. San Francisco, CA (2004).
39. Deng, Z. S. and Liu, J. Blood perfusion-based model for characterizing the temperature fluctuations in living tissue. Phys A STAT Mech Appl 300, 521-530 (2001).
40. Lee, R. C. and Despa, F. Distinguishing Electroporation from Thermal Injuries in Electrical Shock by MR Imaging, in Engineering in Medicine and Biology 27th Annual Conference. Shanghai, China: IEEE (2005).
41. Tropea, B. I. and Lee, R. C. Thermal Injury Kinetics in Electrical Trauma. J Biomech Engr II4, 241-250 (1992).
42. Henriques, F. C. and Moritz, A. R. Studies in thermal injuries: the predictability and the significance of thermally induced rate processes leading to irreversible epidermal damage. Arch Pathol. 43, 489-502 (1947).
43. Diller, K. R. Modeling of bioheat transfer processes at high and low temperatures, in Bioengineering heat transfer, pp. 157-357. Ed., Y. I. Choi. Academic Press, Inc. Boston (1992).
44. Rylander, M. N., et al. Optimizing HSP Expression in Prostate Cancer Laser Therapy Through Predictive Computational Models. Journal of Biomedical Optics II, 04111131-16 (2005).
45. Becker, S. M. and Kuznetsoz, A. V. Numerical Modeling of In Vivo Plate Electroporation Thermal Dose Assessment. ASME J of Biomechanical Engineering 128, 76-84 (2006).
46. Damianou, C., Hynynen, K., and Fan, X. Application of the Thermal Dose Concept for Predicting the Necrosed Tissue Volume During Ultrasound Surgery. Ultrasonics Symposium (1993).
47. Sapareto, S. and Dewey, W. Thermal dose determination in cancer therapy. Int J Radiation Oncology Biol Phys 10, 787-800 (1984).