Top

Meccanica

Published in:

06-04-2016 | Advances in Biomechanics: from foundations to applications

Effective computational modeling of erythrocyte electro-deformation

Authors: Nicola A. Nodargi, Paolo Bisegna, Federica Caselli

Published in: Meccanica | Issue 3/2017

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Due to its crucial role in pathophysiology, erythrocyte deformability represents a subject of intense experimental and modeling research. Here a computational approach to electro-deformation for erythrocyte mechanical characterization is presented. Strong points of the proposed strategy are: (1) an accurate computation of the mechanical actions induced on the cell by the electric field, (2) a microstructurally-based continuum model of the erythrocyte mechanical behavior, (3) an original rotation-free shell finite element, especially suited to the application in hand. As proved by the numerical results, the developed tool is effective and sound, and can foster the role of electro-deformation in single-cell mechanical phenotyping.

previous article On the use of uniaxial tests on the sclera to understand the difference between emmetropic and highly myopic eyes

next article Patient-specific finite element analysis of popliteal stenting

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

Available only for authorised users

Ahmad IL, Ahmad MR (2014) Trends in characterizing single cell’s stiffness properties. Micro Nano Syst Lett 2(8). doi:10.1186/s40486-014-0008-5

Asami K (2010) Effectiveness of “thin-layer” and “effective medium” approximations in numerical simulation of dielectric spectra of biological cell suspensions. Jpn J Appl Phys 49(12R):127,001. doi:10.1143/JJAP.49.127001 CrossRef

Asami K, Hanai T, Koizumi N (1980) Dielectric approach to suspensions of ellipsoidal particles covered with a shell in particular reference to biological cells. Jpn J Appl Phys 19(2):359–365. doi:10.1143/JJAP.19.359 ADSCrossRef

Bisegna P, Caselli F (2008) A simple formula for the effective complex conductivity of periodic fibrous composites with interfacial impedance and applications to biological tissues. J Phys D Appl Phys 41:115,506. doi:10.1088/0022-3727/41/11/115506 CrossRef

Boey SK, Boal DH, Discher DE (1998) Simulations of the erythrocyte cytoskeleton at large deformation I. Microscopic models. Biophys J 75(3):1573–1583. doi:10.1016/S0006-3495(98)74075-5 CrossRef

Bustamante C, Bryant Z, Smith SB (2003) Ten years of tension: single-molecule DNA mechanics. Nature 421:423–427. doi:10.1038/nature01405 ADSCrossRef

Caselli F, Bisegna P (2013) Polar decomposition based corotational framework for triangular shell elements with distributed loads. Int J Numer Methods Eng 95(6):499–528. doi:10.1002/nme.4528 MathSciNetCrossRefMATH

Caselli F, Bisegna P (2014) A corotational flat triangular element for large strain analysis of thin shells with application to soft biological tissues. Comput Mech 54(3):847–864. doi:10.1007/s00466-014-1038-9 MathSciNetCrossRefMATH

Caselli F, Bisegna P, Maceri F (2010) EIT-inspired microfluidic cytometer for single-cell dielectric spectroscopy. J Microelectromech Syst 19(5):1029–1040. doi:10.1109/JMEMS.2010.2067204 CrossRef

10.

Caselli F, Shaker M, Colella L, Renaud P, Bisegna P (2014) Modeling, simulation, and performance evaluation of a novel microfluidic impedance cytometer for morphology-based cell discrimination. J Microelectromech Syst 23(4):785–794. doi:10.1109/JMEMS.2014.2325979 CrossRef

11.

Chen J, Abdelgawad M, Yu L, Shakiba N, Chien WY, Lu Z, Geddie WR, Jewett MAS, Sun Y (2011) Electrodeformation for single cell mechanical characterization. J Micromech Microeng 21:054,012. doi:10.1088/0960-1317/21/5/054012 CrossRef

12.

Chiabrera A, Nicolini CA, Schwan HP (eds) (1985) Interactions between electromagnetic fields and cells. NATO ASI. Series A: Life sciences. Plenum Press, New York

13.

Crisfield MA (1997) Non-linear finite element analysis of solids and structures, vol. 2: Advanced topics. Wiley, ChichesterMATH

14.

Dao M, Li J, Suresh S (2006) Molecularly based analysis of deformation of spectrin network and human erythrocyte. Mater Sci Eng C 26(8):1232–1244. doi:10.1016/j.msec.2005.08.020 CrossRef

15.

Dao M, Lim CT, Suresh S (2003) Mechanics of the human red blood cell deformed by optical tweezers. J Mech Phys Solids 51(11–12):2259–2280. doi:10.1016/j.jmps.2003.09.019 ADSCrossRef

16.

Di Carlo D (2012) A mechanical biomarker of cell state in medicine. J Lab Autom 17(1):32–42. doi:10.1177/2211068211431630 CrossRef

17.

Discher DE, Boal DH, Boey SK (1997) Phase transitions and anisotropic responses of planar triangular nets under large deformation. Phys Rev E 55(4):4762–4772. doi:10.1103/PhysRevE.55.4762 ADSCrossRef

18.

Discher DE, Boal DH, Boey SK (1998) Simulations of the erythrocyte cytoskeleton at large deformation II. Micropipette aspiration. Biophys J 75(3):1584–1597. doi:10.1016/S0006-3495(98)74076-7 CrossRef

19.

Do Carmo MP (1976) Differential geometry of curves and surfaces. Prentice Hall, Englewood CliffsMATH

20.

Doh I, Lee WC, Cho YH, Pisano AP, Kuypers FA (2012) Deformation measurement of individual cells in large populations using a single-cell microchamber array chip. Appl Phys Lett 100(17). doi:10.1063/1.4704923

21.

Du E, Dao M, Suresh S (2014) Quantitative biomechanics of healthy and diseased human red blood cells using dielectrophoresis in a microfluidic system. Extr Mech Lett 1:35–41. doi:10.1016/j.eml.2014.11.006 CrossRef

22.

Evans E, Fung YC (1972) Improved measurements of erythrocyte geometry. Microvasc Res 4(4):335–347. doi:10.1016/0026-2862(72)90069-6 CrossRef

23.

Fedosov D (2010) Multiscale modeling of blood flow and soft matter. Ph.D. thesis, Division of Applied Mathematics, Brown University, USA

24.

Fedosov DA, Caswell B, Karniadakis GE (2010) A multiscale red blood cell model with accurate mechanics, rheology, and dynamics. Biophys J 98(10):2215–2225. doi:10.1016/j.bpj.2010.02.002 CrossRef

25.

Felippa CA, Haugen B (2005) A unified formulation of small-strain corotational finite elements: I. Theory. Comput Methods Appl Mech Eng 194(21–24):2285–2335. doi:10.1016/j.cma.2004.07.035 ADSCrossRefMATH

26.

Foster KR, Schwan HP (1989) Dielectric properties of tissues and biological materials: a critical review. Crit Rev Biomed Eng 17(2):25–104

27.

Gawad S, Cheung K, Seger U, Bertsch A, Renaud P (2004) Dielectric spectroscopy in a micromachined flow cytometer: theoretical and practical considerations. Lab Chip 4:241–251. doi:10.1039/b313761a CrossRef

28.

Gossett DR, Tse HTK, Lee SA, Ying Y, Lindgren AG, Yang OO, Rao J, Clark AT, Di Carlo D (2012) Hydrodynamic stretching of single cells for large population mechanical phenotyping. Proc Natl Acad Sci 109(20):7630–7635. doi:10.1073/pnas.1200107109 ADSCrossRef

29.

Guido I, Jaeger MS, Duschl C (2011) Dielectrophoretic stretching of cells allows for characterization of their mechanical properties. Eur Biophys J 40(3):281–288. doi:10.1007/s00249-010-0646-3 CrossRef

30.

Haque MM (2015) Elastic theory for the deformation of a spherical dielectric biological object under electro-optical trapping. RSC Adv 5(55):44458–44462. doi:10.1039/C5RA06125C CrossRef

31.

Helfrich W (1973) Elastic properties of lipid bilayers: theory and possible experiments. Z Naturforsch C 28(11):693–703

32.

Kim DH, Wong PK, Park J, Levchenko A, Sun Y (2009) Microengineered platforms for cell mechanobiology. Annu Rev Biomed Eng 11:203–233. doi:10.1146/annurev-bioeng-061008-124915 CrossRef

33.

Kirsch A (1999) The domain derivative and two applications in inverse scattering theory. Inverse Probl 9(1):81–96. doi:10.1088/0266-5611/9/1/005 ADSMathSciNetCrossRefMATH

34.

Landau LD, Lifshitz EM (1984) Electrodynamics of continuous media, Course of theoretical physics, vol 8, 2nd edn. Pergamon, Amsterdam

35.

Lee JCM, Wong DT, Discher DE (1999) Direct measures of large, anisotropic strains in deformation of the erythrocyte cytoskeleton. Biophys J 77(2):853–864. doi:10.1016/S0006-3495(99)76937-7 CrossRef

36.

Leung SL, Lu Y, Bluestein D, Slepian MJ (2015) Dielectrophoresis-mediated electrodeformation as a means of determining individual platelet stiffness. Ann Biomed Eng 1–11. doi:10.1007/s10439-015-1383-7

37.

Li J, Dao M, Lim CT, Suresh S (2005) Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte. Biophys J 88(5):3707–3719. doi:10.1529/biophysj.104.047332 CrossRef

38.

Lim CT, Dao M, Suresh S, Sow CH, Chew KT (2004) Corrigendum to “Large deformation of living cells using laser traps” [Acta Mat 52(7), 1837–1845 (2004)]. Acta Mat 52(13):4065–4066. doi:10.1016/j.actamat.2004.05.016 CrossRef

39.

Lim CT, Dao M, Suresh S, Sow CH, Chew KT (2004) Large deformation of living cells using laser traps. Acta Mat 52(7):1837–1845. doi:10.1016/j.actamat.2003.12.028 CrossRef

40.

MacQueen LA, Buschmann MD, Wertheimer MR (2010) Mechanical properties of mammalian cells in suspension measured by electro-deformation. J Micromech Microeng 20(6):065,007. doi:10.1088/0960-1317/20/6/065007 CrossRef

41.

Marko JF, Siggia ED (1995) Stretching DNA. Macromolecules 28(26):8759–8770. doi:10.1021/ma00130a008 ADSCrossRef

42.

Mills JP, Qie L, Dao M, Lim CT, Suresh S (2004) Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. Mech Chem Biosyst 1(3):169–180. doi:10.3970/mcb.2004.001.169

43.

Oñate E, Zárate F (2000) Rotation-free triangular plate and shell elements. Int J Numer Methods Eng 47(1–3):557–603. doi:10.1002/(SICI)1097-0207(20000110/30)47:1/3<557::AID-NME784>3.0.CO;2-9 MathSciNetCrossRefMATH

44.

Rodriguez ML, McGarry PJ, Sniadecki NJ (2013) Review on cell mechanics: experimental and modeling approaches. Appl Mech Rev 65(6):060,801. doi:10.1115/1.4025355 CrossRef

45.

Somersalo E, Cheney M, Isaacson D (1992) Existence and uniqueness for electrode models for electric current computed tomography. SIAM J Appl Math 52:1023–1040. doi:10.1137/0152060 MathSciNetCrossRefMATH

46.

Stratton JA (1941) Electromagnetic theory. McGraw-Hill, New YorkMATH

47.

Sukhorukov VL, Mussauer H, Zimmermann U (1998) The effect of electrical deformation forces on the electropermeabilization of erythrocyte membranes in low- and high-conductivity media. J Membr Biol 163(3):235–245. doi:10.1007/s002329900387 CrossRef

48.

Turner MJ, Clough RW, Martin HC, Topp LJ (1956) Stiffness and deflection analysis of complex structures. J Aeronaut Sci 23(9):805–824CrossRefMATH

49.

Vlahovska MP, Gracià RS, Aranda-Espinoza S, Dimova R (2009) Electrohydrodynamic model of vesicle deformation in alternating electric fields. Biophys J 96(12):4789–4803. doi:10.1016/j.bpj.2009.03.054 CrossRef

50.

Voldman J (2006) Electrical forces for microscale cell manipulation. Annu Rev Biomed Eng 8(1):425–454. doi:10.1146/annurev.bioeng.8.061505.095739 CrossRef

51.

Wang X, Wang XB, Gascoyne PRC (1997) General expressions for dielectrophoretic force and electrorotational torque derived using the Maxwell stress tensor method. J Electrostat 39(4):277–295. doi:10.1016/S0304-3886(97)00126-5 CrossRef

52.

Wong PK, Tan W, Ho CM (2005) Cell relaxation after electrodeformation: effect of latrunculin A on cytoskeletal actin. J Biomech 38(3):529–535. doi:10.1016/j.jbiomech.2004.04.008 CrossRef

53.

Yan WJ, Ma YC (2006) The application of domain derivative for heat conduction with mixed condition in shape reconstruction. Appl Math Comput 181(2):894–902. doi:10.1016/j.amc.2006.02.011 MathSciNetMATH

54.

Zheng Y, Nguyen J, Wei Y, Sun Y (2013) Recent advances in microfluidic techniques for single-cell biophysical characterization. Lab Chip 13:2464–2483. doi:10.1039/c3lc50355k CrossRef

55.

Zhou YX, Sze KY (2012) A geometric nonlinear rotation-free triangle and its application to drape simulation. Int J Numer Methods Eng 89(4):509–536. doi:10.1002/nme.3250 CrossRefMATH

Title: Effective computational modeling of erythrocyte electro-deformation
Authors: Nicola A. Nodargi
Paolo Bisegna
Federica Caselli
Publication date: 06-04-2016
Publisher: Springer Netherlands
Published in: Meccanica / Issue 3/2017
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-016-0424-0

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 3/2017

Exploring the potential of blood flow network data

Special issue on Advances in biomechanics: from foundations to applications

Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler

Patient-specific finite element analysis of popliteal stenting

Aqueous flow in the presence of a perforated iris-fixated intraocular lens

Application of ultrasound imaging to subject-specific modelling of the human musculoskeletal system

Premium Partners