Skip to main content

2018 | OriginalPaper | Buchkapitel

Mathematical Modeling and Computational Simulation of the Diffusive Behavior of Adenocarcinoma Biomarker Particles

verfasst von : Esteban Vallejo, Gustavo Suárez, William Torres, Adolfo Uribe

Erschienen in: Applied Computer Sciences in Engineering

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Colorectal adenocarcinoma is one of the carcinogenic diseases that most affects the health of the world population. This disease is manifested biologically by the segregation of biomarker substances in the human system. This paper presents the development of a numerical-mathematical model for the study of the diffuse behavior of particles segregated by this type of cancer. Flow conditions, characteristics and properties of the diffusive medium are determined, and the study domain is defined. A mathematical description is elaborated to represent the behavior of the phenomenon by means of constitutive laws of the biosystem. A numerical-computational algorithm is constructed that makes possible the analysis of the different behavioral conditions; in this paper one of the multiples settings is showed. The computational implementation is done using Taylor series defined by finite differences with a refinement of the grid that can be controlled by the user. In addition, a structural element is incorporated with which it is intended to evaluate the level of concentration in the structure-substance contact zone. As a platform for the implementation of the algorithm, Matlab program is used. The results have been plotted by surface curves. Concentration levels are obtained at three points of interest, including concentrations at the structure-substance contact point, with concentration values of \(1*10^{-6} \frac{\mathrm{kg}}{\mathrm{m}^{3}}\). The research is oriented in the search of an alternative that allows the detection of colorectal cancer in its early phase.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Ašeris, V., Baronas, R., Kulys, J.: Computational modeling of bienzyme biosensor with different initial and boundary conditions. Informatica 24(4), 505–521 (2013)CrossRef Ašeris, V., Baronas, R., Kulys, J.: Computational modeling of bienzyme biosensor with different initial and boundary conditions. Informatica 24(4), 505–521 (2013)CrossRef
2.
Zurück zum Zitat Bupathi, M., Wu, C.: Biomarkers for immune therapy in colorectal cancer: mismatch-repair deficiency and others. J. Gastrointest. Oncol. 7(5), 713–720 (2016)CrossRef Bupathi, M., Wu, C.: Biomarkers for immune therapy in colorectal cancer: mismatch-repair deficiency and others. J. Gastrointest. Oncol. 7(5), 713–720 (2016)CrossRef
3.
Zurück zum Zitat Couniot, N., Afzalian, A., Van Overstraeten-Schlögel, N., Francis, L.A., Flandre, D.: Capacitive biosensing of bacterial cells: analytical model and numerical simulations. Sens. Actuators B: Chem. 211, 428–438 (2015)CrossRef Couniot, N., Afzalian, A., Van Overstraeten-Schlögel, N., Francis, L.A., Flandre, D.: Capacitive biosensing of bacterial cells: analytical model and numerical simulations. Sens. Actuators B: Chem. 211, 428–438 (2015)CrossRef
4.
Zurück zum Zitat Cunningham, D., et al.: Colorectal cancer. Lancet 375(9719), 1030–1047 (2010)CrossRef Cunningham, D., et al.: Colorectal cancer. Lancet 375(9719), 1030–1047 (2010)CrossRef
5.
Zurück zum Zitat De Maio, G., Rengucci, C., Zoli, W., Calistri, D.: Circulating and stool nucleic acid analysis for colorectal cancer diagnosis. World J. Gastroenterol. 20(4), 957–967 (2014)CrossRef De Maio, G., Rengucci, C., Zoli, W., Calistri, D.: Circulating and stool nucleic acid analysis for colorectal cancer diagnosis. World J. Gastroenterol. 20(4), 957–967 (2014)CrossRef
6.
Zurück zum Zitat Ferlay, J., et al.: Cancer incidence and mortality worldwide: sources, methods and major patterns in GLOBOCAN 2012. Int. J. Cancer 136(5), E359–E386 (2015)CrossRef Ferlay, J., et al.: Cancer incidence and mortality worldwide: sources, methods and major patterns in GLOBOCAN 2012. Int. J. Cancer 136(5), E359–E386 (2015)CrossRef
7.
Zurück zum Zitat Ferreira, P., Baptista, M., Maria, S.D., Vaz, P., Di Maria, S., Vaz, P.: Cancer risk estimation in Digital Breast Tomosynthesis using GEANT4 Monte Carlo simulations and voxel phantoms. Phys. Med. 32(5), 717–723 (2016)CrossRef Ferreira, P., Baptista, M., Maria, S.D., Vaz, P., Di Maria, S., Vaz, P.: Cancer risk estimation in Digital Breast Tomosynthesis using GEANT4 Monte Carlo simulations and voxel phantoms. Phys. Med. 32(5), 717–723 (2016)CrossRef
8.
Zurück zum Zitat Fonseca, J.C., Marques, J.C., Paiva, A.A., Freitas, A.M., Madeira, V.M., Jørgensen, S.E.: Nuclear DNA in the determination of weighing factors to estimate exergy from organisms biomass. Ecol. Model. 126(2–3), 179–189 (2000)CrossRef Fonseca, J.C., Marques, J.C., Paiva, A.A., Freitas, A.M., Madeira, V.M., Jørgensen, S.E.: Nuclear DNA in the determination of weighing factors to estimate exergy from organisms biomass. Ecol. Model. 126(2–3), 179–189 (2000)CrossRef
9.
Zurück zum Zitat Gonzalez-Pons, M., Cruz-Correa, M.: Colorectal cancer biomarkers: where are we now? BioMed Res. Int. 2015, 14 p. (2015) Gonzalez-Pons, M., Cruz-Correa, M.: Colorectal cancer biomarkers: where are we now? BioMed Res. Int. 2015, 14 p. (2015)
10.
Zurück zum Zitat Hamm, A., et al.: Tumour-educated circulating monocytes are powerful candidate biomarkers for diagnosis and disease follow-up of colorectal cancer. Gut 65(6), 990–1000 (2016)CrossRef Hamm, A., et al.: Tumour-educated circulating monocytes are powerful candidate biomarkers for diagnosis and disease follow-up of colorectal cancer. Gut 65(6), 990–1000 (2016)CrossRef
11.
Zurück zum Zitat Hao, T.B., et al.: Circulating cell-free DNA in serum as a biomarker for diagnosis and prognostic prediction of colorectal cancer. Br. J. Cancer 111(8), 1482–1489 (2014)CrossRef Hao, T.B., et al.: Circulating cell-free DNA in serum as a biomarker for diagnosis and prognostic prediction of colorectal cancer. Br. J. Cancer 111(8), 1482–1489 (2014)CrossRef
12.
Zurück zum Zitat Hushiarian, R., Yusof, N.A., Houshiarian, N., Abdullah, A.H., Ahmad, S.A.A.: Computer modeling to optimize the sensitivity of an optical DNA nanosensor. Sens. Actuators B: Chem. 207(Part A), 716–723 (2015)CrossRef Hushiarian, R., Yusof, N.A., Houshiarian, N., Abdullah, A.H., Ahmad, S.A.A.: Computer modeling to optimize the sensitivity of an optical DNA nanosensor. Sens. Actuators B: Chem. 207(Part A), 716–723 (2015)CrossRef
13.
Zurück zum Zitat Jung, K., Fleischhacker, M., Rabien, A.: Cell-free DNA in the blood as a solid tumor biomarker-A critical appraisal of the literature. Clin. Chimica Acta 411(21–22), 1611–1624 (2010)CrossRef Jung, K., Fleischhacker, M., Rabien, A.: Cell-free DNA in the blood as a solid tumor biomarker-A critical appraisal of the literature. Clin. Chimica Acta 411(21–22), 1611–1624 (2010)CrossRef
14.
Zurück zum Zitat Kachlik, D., Baca, V., Stingl, J.: The spatial arrangement of the human large intestinal wall blood circulation. J. Anat. 216(3), 335–343 (2010)CrossRef Kachlik, D., Baca, V., Stingl, J.: The spatial arrangement of the human large intestinal wall blood circulation. J. Anat. 216(3), 335–343 (2010)CrossRef
15.
Zurück zum Zitat Kang, G., et al.: Colorectal tumour simulation using agent based modelling and high performance computing. Future Gener. Comput. Syst. 67, 397–408 (2017)CrossRef Kang, G., et al.: Colorectal tumour simulation using agent based modelling and high performance computing. Future Gener. Comput. Syst. 67, 397–408 (2017)CrossRef
16.
Zurück zum Zitat Lam, K., Pan, K., Linnekamp, J.F., Medema, J.P., Kandimalla, R.: DNA methylation based biomarkers in colorectal cancer: a systematic review. Biochim. et Biophys. Acta - Rev. Cancer 1866(1), 106–120 (2016)CrossRef Lam, K., Pan, K., Linnekamp, J.F., Medema, J.P., Kandimalla, R.: DNA methylation based biomarkers in colorectal cancer: a systematic review. Biochim. et Biophys. Acta - Rev. Cancer 1866(1), 106–120 (2016)CrossRef
17.
Zurück zum Zitat Lee, H.S., et al.: Circulating methylated septin 9 nucleic acid in the plasma of patients with gastrointestinal cancer in the stomach and colon. Transl. Oncol. 6(3), 290–IN4 (2013)CrossRef Lee, H.S., et al.: Circulating methylated septin 9 nucleic acid in the plasma of patients with gastrointestinal cancer in the stomach and colon. Transl. Oncol. 6(3), 290–IN4 (2013)CrossRef
18.
Zurück zum Zitat Mahasneh, A., Al-shaheri, F., Jamal, E.: Molecular biomarkers for an early diagnosis, effective treatment and prognosis of colorectal cancer: current updates. Exp. Mol. Pathol. 102(Mar), 475–483 (2017)CrossRef Mahasneh, A., Al-shaheri, F., Jamal, E.: Molecular biomarkers for an early diagnosis, effective treatment and prognosis of colorectal cancer: current updates. Exp. Mol. Pathol. 102(Mar), 475–483 (2017)CrossRef
19.
Zurück zum Zitat Martínez-Martín, D., et al.: Inertial picobalance reveals fast mass fluctuations in mammalian cells. Nature 550(7677), 500–505 (2017)CrossRef Martínez-Martín, D., et al.: Inertial picobalance reveals fast mass fluctuations in mammalian cells. Nature 550(7677), 500–505 (2017)CrossRef
20.
Zurück zum Zitat Matsuzawa, F., Ohki, S.Y., Aikawa, S.I., Eto, M.: Computational simulation for interactions of nano-molecules: the phospho-pivot modeling algorithm for prediction of interactions between a phospho-protein and its receptor. Sci. Technol. Adv. Mater. 6(5), 463–467 (2005)CrossRef Matsuzawa, F., Ohki, S.Y., Aikawa, S.I., Eto, M.: Computational simulation for interactions of nano-molecules: the phospho-pivot modeling algorithm for prediction of interactions between a phospho-protein and its receptor. Sci. Technol. Adv. Mater. 6(5), 463–467 (2005)CrossRef
21.
Zurück zum Zitat Murmu, T., Adhikari, S.: Nonlocal mass nanosensors based on vibrating monolayer graphene sheets. Sens. Actuators B: Chem. 188, 1319–1327 (2013)CrossRef Murmu, T., Adhikari, S.: Nonlocal mass nanosensors based on vibrating monolayer graphene sheets. Sens. Actuators B: Chem. 188, 1319–1327 (2013)CrossRef
22.
Zurück zum Zitat O’Connell, J.B., Maggard, M.A., Ko, C.Y.: Colon cancer survival rates with the new American Joint Committee on Cancer sixth edition staging. J. Natl. Cancer Inst. 96(19), 1420–1425 (2004)CrossRef O’Connell, J.B., Maggard, M.A., Ko, C.Y.: Colon cancer survival rates with the new American Joint Committee on Cancer sixth edition staging. J. Natl. Cancer Inst. 96(19), 1420–1425 (2004)CrossRef
23.
Zurück zum Zitat Petrauskas, K., Baronas, R.: Computational modelling of biosensors with an outer perforated membrane. Nonlinear Anal.: Model. Control 14(1), 85–102 (2009)MATH Petrauskas, K., Baronas, R.: Computational modelling of biosensors with an outer perforated membrane. Nonlinear Anal.: Model. Control 14(1), 85–102 (2009)MATH
24.
Zurück zum Zitat Podduturi, V.P., Magaña, I.B., O’Neal, D.P., Derosa, P.A.: Simulation of transport and extravasation of nanoparticles in tumors which exhibit enhanced permeability and retention effect. Comput. Methods Prog. Biomed. 112(1), 58–68 (2013)CrossRef Podduturi, V.P., Magaña, I.B., O’Neal, D.P., Derosa, P.A.: Simulation of transport and extravasation of nanoparticles in tumors which exhibit enhanced permeability and retention effect. Comput. Methods Prog. Biomed. 112(1), 58–68 (2013)CrossRef
25.
Zurück zum Zitat Prakash, S., Malhotra, M., Shao, W., Tomaro-Duchesneau, C., Abbasi, S.: Polymeric nanohybrids and functionalized carbon nanotubes as drug delivery carriers for cancer therapy. Adv. Drug Deliv. Rev. 63(14–15), 1340–1351 (2011)CrossRef Prakash, S., Malhotra, M., Shao, W., Tomaro-Duchesneau, C., Abbasi, S.: Polymeric nanohybrids and functionalized carbon nanotubes as drug delivery carriers for cancer therapy. Adv. Drug Deliv. Rev. 63(14–15), 1340–1351 (2011)CrossRef
26.
Zurück zum Zitat Sadreddini, S., et al.: Chitosan nanoparticles as a dual drug/siRNA delivery system for treatment of colorectal cancer. Immunol. Lett. 181, 79–86 (2017)CrossRef Sadreddini, S., et al.: Chitosan nanoparticles as a dual drug/siRNA delivery system for treatment of colorectal cancer. Immunol. Lett. 181, 79–86 (2017)CrossRef
27.
Zurück zum Zitat Salvi, S., et al.: Cell-free DNA as a diagnostic marker for cancer: current insights. OncoTargets Ther. 9, 6549–6559 (2016)CrossRef Salvi, S., et al.: Cell-free DNA as a diagnostic marker for cancer: current insights. OncoTargets Ther. 9, 6549–6559 (2016)CrossRef
28.
Zurück zum Zitat Teker, K.: Bioconjugated carbon nanotubes for targeting cancer biomarkers. Mater. Sci. Eng.: B 153(1–3), 83–87 (2008)CrossRef Teker, K.: Bioconjugated carbon nanotubes for targeting cancer biomarkers. Mater. Sci. Eng.: B 153(1–3), 83–87 (2008)CrossRef
29.
Zurück zum Zitat Valle, L.: Recent discoveries in the genetics of familial colorectal cancer and polyposis. Clin. Gastroenterol. Hepatol. 15(6), 809–819 (2017)CrossRef Valle, L.: Recent discoveries in the genetics of familial colorectal cancer and polyposis. Clin. Gastroenterol. Hepatol. 15(6), 809–819 (2017)CrossRef
30.
Zurück zum Zitat Wei, Q., et al.: IMP3 expression in biopsy specimens as a diagnostic biomarker for colorectal cancer. Hum. Pathol. 64, 137–144 (2017)CrossRef Wei, Q., et al.: IMP3 expression in biopsy specimens as a diagnostic biomarker for colorectal cancer. Hum. Pathol. 64, 137–144 (2017)CrossRef
31.
Zurück zum Zitat World Health Organization: Estimated number of incident cases, both sexes, worldwide (top 10 cancer sites) in 2012 (2012) World Health Organization: Estimated number of incident cases, both sexes, worldwide (top 10 cancer sites) in 2012 (2012)
32.
Zurück zum Zitat Xu, J.F., et al.: A novel method to detect early colorectal cancer based on chromosome copy number variation in plasma. Cell. Physiol. Biochem. 45(4), 1444–1454 (2018)CrossRef Xu, J.F., et al.: A novel method to detect early colorectal cancer based on chromosome copy number variation in plasma. Cell. Physiol. Biochem. 45(4), 1444–1454 (2018)CrossRef
33.
Zurück zum Zitat Yang, W., Lai, L.: Computational design of ligand-binding proteins. Curr. Opin. Struct. Biol. 45, 67–68 (2017)CrossRef Yang, W., Lai, L.: Computational design of ligand-binding proteins. Curr. Opin. Struct. Biol. 45, 67–68 (2017)CrossRef
34.
Zurück zum Zitat Zhang, B., et al.: A colon targeted drug delivery system based on alginate modificated graphene oxide for colorectal liver metastasis. Mater. Sci. Eng. C 79, 185–190 (2017)CrossRef Zhang, B., et al.: A colon targeted drug delivery system based on alginate modificated graphene oxide for colorectal liver metastasis. Mater. Sci. Eng. C 79, 185–190 (2017)CrossRef
Metadaten
Titel
Mathematical Modeling and Computational Simulation of the Diffusive Behavior of Adenocarcinoma Biomarker Particles
verfasst von
Esteban Vallejo
Gustavo Suárez
William Torres
Adolfo Uribe
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-030-00350-0_26