Display options
Cite
Henscheid N. Generating patient-specific virtual tumor populations with reaction-diffusion models and molecular imaging data. Math Biosci Eng. 2020;17(6):6531-6556doi: 10.3934/mbe.2020341.
Henscheid, N. (2020). Generating patient-specific virtual tumor populations with reaction-diffusion models and molecular imaging data. Mathematical biosciences and engineering : MBE, 17(6), 6531-6556. https://doi.org/10.3934/mbe.2020341
Henscheid, Nick. "Generating patient-specific virtual tumor populations with reaction-diffusion models and molecular imaging data." Mathematical biosciences and engineering : MBE vol. 17,6 (2020): 6531-6556. doi: https://doi.org/10.3934/mbe.2020341
Henscheid N. Generating patient-specific virtual tumor populations with reaction-diffusion models and molecular imaging data. Math Biosci Eng. 2020 Sep 25;17(6):6531-6556. doi: 10.3934/mbe.2020341. PMID: 33378865; PMCID: PMC7780222.
Copy Download .nbib Format: NLM
Share it on

Math Biosci Eng. 2020 Sep 25;17(6):6531-6556. doi: 10.3934/mbe.2020341.

Generating patient-specific virtual tumor populations with reaction-diffusion models and molecular imaging data.

Mathematical biosciences and engineering : MBE

Nick Henscheid

Affiliations

  1. Department of Medical Imaging, University of Arizona, 1501 N. Campbell, Tucson, AZ 85724, USA.

PMID: 33378865 PMCID: PMC7780222 DOI: 10.3934/mbe.2020341

Abstract

The use of mathematical tumor growth models coupled to noisy imaging data has been suggested as a possible component in the push towards precision medicine. We discuss the generation of population and patient-specific virtual populations in this context, providing in silico experiments to demonstrate how intra- and inter-patient heterogeneity can be estimated by applying rigorous statistical procedures to noisy molecular imaging data, and how the noise properties of such data can be analyzed to estimate uncertainties in predicted patient outcomes.

Keywords: emission computed tomography ; mathematical onoclogy ; molecular imaging ; precision medicine ; virtual clinical trials ; virtual populations

References

  1. JAMA Netw Open. 2018 Nov 2;1(7):e185474 - PubMed
  2. Front Oncol. 2013 Apr 02;3:62 - PubMed
  3. J Opt Soc Am A Opt Image Sci Vis. 2003 Mar;20(3):421-9 - PubMed
  4. J R Soc Interface. 2018 Jan;15(138): - PubMed
  5. Growth Dev Aging. 1989 Spring-Summer;53(1-2):25-33 - PubMed
  6. Clin Cancer Res. 2002 Nov;8(11):3315-23 - PubMed
  7. Prog Biophys Mol Biol. 2018 Nov;139:15-22 - PubMed
  8. J Med Imaging (Bellingham). 2020 Jul;7(4):042805 - PubMed
  9. Phys Biol. 2019 Jun 19;16(4):041005 - PubMed
  10. Phys Biol. 2015 Jun 04;12(4):046006 - PubMed
  11. Biotechniques. 2014 Jul 01;57(1):45-50 - PubMed
  12. PLoS One. 2018 Jun 29;13(6):e0199823 - PubMed
  13. Med Phys. 2017 Jun;44(6):2478-2489 - PubMed
  14. Opt Express. 1999 Jan 4;4(1):33-42 - PubMed
  15. Phys Med Biol. 2013 Sep 7;58(17):5851-66 - PubMed
  16. J Opt Soc Am A Opt Image Sci Vis. 2016 Aug 1;33(8):1464-75 - PubMed
  17. Biol Direct. 2011 Dec 21;6:64 - PubMed
  18. IEEE Trans Med Imaging. 2016 Oct;35(10):2329-2339 - PubMed
  19. Nat Rev Clin Oncol. 2017 Mar;14(3):169-186 - PubMed
  20. Math Biosci Eng. 2020 May 19;17(4):3660-3709 - PubMed
  21. Proc IEEE Inst Electr Electron Eng. 2008 Mar;96(3):500-511 - PubMed
  22. Lab Invest. 2015 Apr;95(4):432-52 - PubMed
  23. J Opt Soc Am A. 1992 May;9(5):649-58 - PubMed
  24. J Opt Soc Am A Opt Image Sci Vis. 2003 Mar;20(3):430-8 - PubMed
  25. Sci Rep. 2017 May 31;7(1):2508 - PubMed
  26. Phys Med Biol. 1994 May;39(5):833-46 - PubMed
  27. J Opt Soc Am A Opt Image Sci Vis. 1995 May;12(5):834-52 - PubMed
  28. J Neurol Sci. 2003 Dec 15;216(1):1-10 - PubMed
  29. J Clin Med. 2020 May 02;9(5): - PubMed
  30. Phys Med Biol. 2015 Sep 21;60(18):7359-85 - PubMed
  31. CPT Pharmacometrics Syst Pharmacol. 2016 Mar;5(3):140-6 - PubMed
  32. Phys Med Biol. 2015 Jan 21;60(2):R1-75 - PubMed
  33. PLoS One. 2013;8(3):e58938 - PubMed
  34. Nature. 2013 Sep 19;501(7467):355-64 - PubMed
  35. Stat Methods Med Res. 2015 Feb;24(1):9-26 - PubMed
  36. Br J Cancer. 2008 Jan 15;98(1):113-9 - PubMed
  37. Sci Transl Med. 2013 May 29;5(187):187ps9 - PubMed
  38. J Math Biol. 2008 Jun;56(6):793-825 - PubMed
  39. IEEE Trans Nucl Sci. 2009 Jun 1;56(3):725 - PubMed
  40. Magn Reson Imaging. 2000 Jul;18(6):689-95 - PubMed

MeSH terms

Publication Types

Grant support