Presentations

Mathematical modeling of collective phenomena in ensembles of platelets

Ivanko T.Y., Zlobina K.E.¹

Moscow Institute of Physics and Technology, Russian Federation, 141700, Dolgoprudny, Institutskiy per. 9, +7(915)411-57-73, ivanko@phystech.edu

¹National Research Center for Hematology, Health Ministry of Russian Federation, Russian Federation, 125167, Moscow, Novyy Zykovskiy proezd, 4

Platelets are nucleus-free cells that take part in thrombus formation. Under normal conditions they are present in blood in non-activated form and become activated in presence of stimulus. Substances (such as ADP, thromboxane А₂) and mechanical action of blood flow can serve as the stimuli for platelet activation.

It is known from experimental data that during activation platelets secrete agonists - substances that can activate surrounding inactive platelets (ADP, thromboxane А₂, etc.). Thus new and new platelets get involved in process of activation. Population dynamics of platelets remains insufficiently studied. Prediction of collective effects is of great interest not only in connection with use of platelets in vivo, but also with their storage for the purpose of the next transfusion.

In current work a mathematical model of platelets activation was examined. The model takes into account secretion of agonists by platelets. After action of activation stimulus more and more platelets become involved in activation due to positive feedback. It was established that population of platelets with a high concentration activates easier than with a low concentration. It means that population of platelets demonstrates collective properties.

Platelets become activated under the action of high shear stress but such effect is usually short and can occur both in vivo and during storage in vitro. The action of short-term stimulus on platelets population was investigated. Collective effect was shown: platelets with high initial concentration require smaller stimulus for activation than platelets with low initial concentration.

The results received are of interest both in clinical applications and in applications connected with platelets storage.

The work was supported by grant RSF №14-14-00990.

• abstract in Russian (PDF)