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Simulation of AFM data for erythrocytes membrane under femtosecond laser irradiation

Y.S.Nagornov, Yuri Sergeyevich Nagornov

1Togliatti StateUniversity,Togliatti, SamaraRegion, 445667, (RUSSIA)
2Research ofTSU, (TOGLIATTI)


The article aim is, within a simple mechanical model of the erythrocyte morphology, to carry out the calculation and comparison of the calculated data to the experimental data obtained using atomic force microscopy of blood cells after femtosecond laser irradiation. The paper proposes amodel of the erythrocyte representing the erythrocyte as a homogeneous elastic body with the elasticity depending on the distance to the center of the erythrocyte. The model is based on data from atomic force microscopy obtained by various authors, in particular the data on rigidity of the membrane, which depends on the position of the measuring point on the surface. In the developed model the elasticity of the membrane changes depending on the distance to the center within 1-1.6 kPa. The calculation of the elastic properties is made by the finite element method, which allowed us to determine the dependence of the erythrocytemorphology on pressure on the membrane, which varied within the range of 0.5-2 kPa. The good agreement between calculated and experimental data confirms the consistency of the model and allows us to conclude that the morphology of the erythrocyte is largely determined by the elastic properties of the membrane. Besides, the developedmodel allows to simulate the changes in the rigidity of erythrocytesmembrane under femtosecond laser irradiation, which acts as a factor destroying themembrane. Simulation of rigid properties was based on a statistical analysis of quantitative data content of discocytes, echinocytes, spherocytes and stomatocytes as well as on the assumption that the rigidity of each formis constant. Rigiditycoefficientsfor the various formswere picked up bythe method of leastsquares, and wereequal to kds=1,28 fordiscocytes, keh=1,46 forechinocytes, kfs=17,6 forspherocytesand kst=13,1 for stomatocytes.

Modelof the erythrocyte; Atomic forcemicroscopy; The geometric characteristicsof the erythrocyte; Modeling of the elastic properties.
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