An overview of mathematical modeling of thrombus formation under flow

K Leiderman, A Fogelson - Thrombosis research, 2014 - Elsevier
In the last decade numerous mathematical models have been formulated to investigate
specific components of the clotting system such as the tissue factor pathway of coagulation …

Grow with the flow: a spatial–temporal model of platelet deposition and blood coagulation under flow

K Leiderman, AL Fogelson - … medicine and biology: a journal of …, 2011 - academic.oup.com
The body's response to vascular injury involves two intertwined processes: platelet
aggregation and coagulation. Platelet aggregation is a predominantly physical process …

Computational study of thrombus formation and clotting factor effects under venous flow conditions

V Govindarajan, V Rakesh, J Reifman… - Biophysical journal, 2016 - cell.com
A comprehensive understanding of thrombus formation as a physicochemical process that
has evolved to protect the integrity of the human vasculature is critical to our ability to predict …

The influence of hindered transport on the development of platelet thrombi under flow

K Leiderman, AL Fogelson - Bulletin of mathematical biology, 2013 - Springer
Vascular injury triggers two intertwined processes, platelet deposition and coagulation, and
can lead to the formation of an intravascular clot (thrombus) that may grow to occlude the …

Blood flow and mass transfer regulation of coagulation

K Rana, KB Neeves - Blood reviews, 2016 - Elsevier
Blood flow regulates coagulation and fibrin formation by controlling the transport, or mass
transfer, of zymogens, co-factors, enzymes, and inhibitors to, from, and within a growing …

The art and science of building a computational model to understand hemostasis

K Leiderman, SS Sindi, DM Monroe… - … in Thrombosis and …, 2021 - thieme-connect.com
Computational models of various facets of hemostasis and thrombosis have increased
substantially in the last decade. These models have the potential to make predictions that …

A multiscale model of platelet-fibrin thrombus growth in the flow

A Bouchnita, V Volpert - Computers & Fluids, 2019 - Elsevier
Thrombosis is a life-threatening clinical condition characterized by the obstruction of blood
flow in a vessel due to the formation of a large thrombus. The pathogenesis of thrombosis is …

The effect of flow and mass transport in thrombogenesis

D Basmadjian - Annals of biomedical engineering, 1990 - Springer
The paper presents a mathematical analysis of the contributions of flow and mass transport
to a single reactive event at a blood vessel wall. The intent is to prepare the ground for a …

Mathematical modeling and computer simulation in blood coagulation

FI Ataullakhanov, MA Panteleev - Pathophysiology of haemostasis and …, 2006 - karger.com
Over the last two decades, mathematical modeling has become a popular tool in study of
blood coagulation. The in silico methods were able to yield interesting and significant results …

Computational approaches to studying thrombus development

Z Xu, M Kamocka, M Alber… - … , thrombosis, and vascular …, 2011 - Am Heart Assoc
In addition to descriptive biological models, many computational models have been
developed for hemostasis/thrombosis that provide quantitative characterization of thrombus …