The biological concepts of adhesion rely on creating receptor-ligand (R-L) complexes between the receptor patches located on the surface of the cell and ligands distributed on the functionalized surfaces.

Out model can be readily extended with any other phenomenon based on forces acting on the boundary mesh points of the eastic object. The adhesion mechanism is based on bonds between the receptor site on a cell and the ligand site on a wall. The computation of the forces acting on the mesh points corresponding to a bond is based on the harmonic spring.

Schematics of bond formation. Cell with boundary points indicated by dots is depicted in four different positions.
a) The distance of the cell to the surface is larger than capture radius r0 so no bond can be created.
b) Three boundary points B, C and D are within the capture radius. The stochastic nature of bond creation coused the formation of two bonds with receptor positions C and D and no bond for receptor B. Corresponding ligand positions are denoted C' and D'.
c) Cell rolled a litle bit. Stochastic nature caused that still no bond is formed for receptor B. Receptor C is out of the capture radius, however the bond CC' does not reach the critical length lmax for the rupture and the stochastic nature of bond dissociation caused the bond not to rupture. Receptor D is out of the capture radius, it reached the critical bond length lmax and it ruptured.
d) Cell moved away from the wall and all the bonds ruptured.











Short videos showing these features are available at Cell-in-Fluid YouTube channel.

Modeling cell rolling and adhesion using sprints for receptor-ligand bonds

Relevant articles:

A simplified model for dynamics of cell rolling and cell-surface adhesion


04.04. 2017
New PhD positions

In our research group we open two PhD positions starting from September 2017. More information are available at dedicated page.

10.01. 2017
Invitation to a Workshop

Cell-in-fluid Research Group organizes the 2nd Workshop on Modelling of Biological Cells, Fluid Flow and Microfluidics - February 5-9, 2017. More information here.

10.05. 2016
New article published

The members of our group published an article in Journal of Computational Science (2015 Impact Factor 1.231). The title of the article is Simulation study of rare cell trajectories and capture rate in periodic obstacle arrays. Congratulate Martin, Iva, Renáta and Ivan.

08.04. 2016
New article published

Recently, new article has been published in Computer Methods in Biomechanics and Biomedical Engineering,  (Impact Factor 1.770). The title of the article is Collision rates for rare cell capture in periodic obstacle arrays strongly depend on density of cell suspension. The article is available at journal website or at our publication section

08.01. 2016
New article published

Recently, new article has been published in International Journal for Numerical Methods in Biomedical Engineering (Impact Factor 2.052). The title of the article is Non-uniform force allocation for area preservation in spring network models. The article is available at journal website or at our publication section. Congratulate Iveta and Ivan.

04.09. 2015
Welcome new colleagues

Starting in September, two doctoral students joined the group: Martin Slavik and Marek Kotus. Welcome!

26.08. 2015
PhD degree obtained

We congratulate Iveta on obtaining the PhD degree. Good luck (not only) in your further scientific research.

02.08. 2015
Conference in Edinburg

In July, Iveta and Martin B. attended the Discrete Simulation of Fluid Dynamics (DSFD2015) conference. They presented our preliminary results on analysis of periodic obstacle arrays.

15.10. 2014

Our group participated at ICNAAM 2014 conference. I.Cimrák organized a symposium at the conference with title Modelling of Biological Cells, Fluid Flow and Microfluidics. 

05.09. 2014
New members in the group

Two new PhD students have joined our research group: Jana Kadlecová and Martina Bušík. Welcome :-)

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