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Realistic description of patient-specific mechanical properties of clotting dynamics presents a major challenge. Available patient-specific data falls short of robustly characterizing myriads of complex dynamic interactions that happen…

Molecular Networks · Quantitative Biology 2017-05-23 Jayavel Arumugam , Arun Srinivasa

A mathematical model of the metabolic process of formation of the hemostasis in a blood-carrying vessel is constructed. As distinct from the earlier developed model of the multienzyme prostacyclin-thromboxane system of blood, this model…

Tissues and Organs · Quantitative Biology 2017-07-19 V. I. Grytsay

Blood coagulation is governed by tightly regulated reaction networks that unfold within a flowing, heterogeneous microvascular environment. Reduced kinetic models of the intrinsic and extrinsic pathways have seen limited in vitro…

Fluid Dynamics · Physics 2025-12-16 Marina Echeverria-Ferrero , Nicolas Moreno , Marco Ellero

Hemostasis and thrombosis are often thought as two sides of the same clotting mechanism whereas hemostasis is a natural protective mechanism to prevent bleeding and thrombosis is a blood clot abnormally formulated inside a blood vessel,…

Tissues and Organs · Quantitative Biology 2019-11-19 Limei Cheng , Guo-Wei Wei , Tarek Leil

In this work we develop a homogenisation methodology to upscale mathematical descriptions of microcirculatory blood flow from the microscale (where individual vessels are resolved) to the macroscopic (or tissue) scale. Due to the assumed…

Tissues and Organs · Quantitative Biology 2024-01-23 Y. Ben-Ami , B. D. Wood , J. M. Pitt-Francis , P. K. Maini , H. M. Byrne

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

This paper is devoted to the analysis of a mathematical model of blood cells production in the bone marrow (hematopoiesis). The model is a system of two age-structured partial differential equations. Integrating these equations over the…

Analysis of PDEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed…

Classical Analysis and ODEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

Modeling and simulating how oxygen supply shapes neuronal excitability is crucial for advancing the understanding of brain function in pathological scenarios, such as ischemia. This condition is caused by a reduced blood supply, leading to…

Numerical Analysis · Mathematics 2026-03-19 Francesco Daniele , Caterina B. Leimer Saglio , Stefano Pagani , Paola F. Antonietti

Hemodynamic parameters are often estimated assuming a constant Newtonian viscosity, even though blood exhibits shear-thinning behavior. This article investigates the influence of blood rheology and hematocrit (Hct) percentage on the…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Hernán Mella , Felipe Galarce , Tetsuro Sekine , Julio Sotelo , Ernesto Castillo

We analyze left atrium haemodynamics, highlighting differences among healthy individuals and patients affected by atrial fibrillation. The computational study is based on patient-specific geometries of the left atria to simulate blood flow…

Fluid Dynamics · Physics 2022-10-06 Mattia Corti , Alberto Zingaro , Luca Dede' , Alfio Maria Quarteroni

The mathematical modelling of biological systems has historically followed one of two approaches: comprehensive and minimal. In comprehensive models, the involved biological pathways are modelled independently, then brought together as an…

Dynamical Systems · Mathematics 2021-11-16 Eric Ng , Jaycee Morgan Kaufman , Lennaert van Veen , Yan Fossat

We present neutron scattering measurements on the dynamics of hemoglobin (Hb) in human red blood cells in vivo. Global and internal Hb dynamics were measured in the ps to ns time- and {\AA} length-scale using quasielastic neutron…

Biological Physics · Physics 2011-04-11 Andreas Maximilian Stadler , Lambert van Eijck , Franz Demmel , Gerhard Artmann

Efficient management of low blood pressure (BP) in preterm neonates remains challenging with a considerable variability in clinical practice. The ability to assess preterm wellbeing during episodes of low BP will help to decide when and…

Chromatin is a highly compact and dynamic nuclear structure that consists of DNA and associated proteins. The main organizational unit is the nucleosome, which consists of a histone octamer with DNA wrapped around it. Histone proteins are…

Genomics · Quantitative Biology 2013-09-30 Veit Schwämmle , Ole Nørregaard Jensen

\noindent\textbf{Background} Prenatal glucocorticoid exposure alters cardiac development, but whether persistent cardiac effects in childhood follow a dose-response relationship remains unknown. We recently showed that ECG foundation models…

Quantitative Methods · Quantitative Biology 2026-03-05 Nicolas B. Garnier , Michelle Dreiling , Valeska Kozik , Matthias Schwab , Florian Rakers , Martin G Frasch

Movement behavior of biological entities plays a crucial role in their destiny through regulating their intraspecific and interspecific interactions as well as their interaction with surrounding environment. In spite of various models for…

Tissues and Organs · Quantitative Biology 2017-11-10 Youness Azimzade

Recent \emph{in vivo} experiments have illustrated the importance of understanding the hemodynamics of heart morphogenesis. In particular, ventricular trabeculation is governed by a delicate interaction between hemodynamic forces,…

Tissues and Organs · Quantitative Biology 2018-09-19 Nicholas A. Battista , Andrea N. Lane , Jiandong Liu , Laura A. Miller

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Within the nucleus, structural maintenance of chromosome protein complexes, namely condensin and cohesin, create an architecture to facilitate the organization and proper function of the genome. Condensin, in addition to performing loop…

Biological Physics · Physics 2024-07-01 Anna Coletti , Benjamin Walker , Kerry Bloom , Katherine Newhall
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