Mathematical modelling of platelet rich plasma clotting. Pointwise unified model

2018 ◽  
Vol 33 (5) ◽  
pp. 265-276 ◽  
Author(s):  
Anna A. Andreeva ◽  
Mohan Anand ◽  
Alexey I. Lobanov ◽  
Andrey V. Nikolaev ◽  
Mikhail A. Panteleev ◽  
...  
Keyword(s):  
Platelet Rich Plasma ◽  
Sol Gel ◽  
Unified Model ◽  
Polymerization Process ◽  
Factor Vii ◽  
Clotting Factors ◽  
Rosenbrock Method ◽  
Sensitivity Analysis Method ◽  
Sol Gel Transition

AbstractThe mechanistic modelling of blood clotting and fibrin-polymer mesh formation is of significant value for medical and biophysics applications. This paper presents a combination of two pointwise kinetic models represented by system of ODEs. One of them represents the reaction dynamics of clotting factors including the role of the platelet membranes. The second one describes the fibrin-polymer formation as a multistage polymerization process with a sol-gel transition at the final stage. Complex-value second order Rosenbrock method (CROS) is employed for the computational experiments. A sensitivity analysis method built into the computational scheme helps clarify non-evident dependencies in the exhaustive system of ODEs. The unified model was primarily verified using conditions of factor VII deficiency. The model, however requires a significant effort to be tested against experimental data available.

scholarly journals Major Role of Voluminosity in the Compressibility and Sol–Gel Transition of Casein Micelle Dispersions Concentrated at 7 °C and 20 °C

Foods ◽  
2019 ◽  
Vol 8 (12) ◽  
pp. 652
Author(s):  
Floriane Doudiès ◽  
Anne-Sophie Arsène ◽  
Fabienne Garnier-Lambrouin ◽  
Marie-Hélène Famelart ◽  
Antoine Bouchoux ◽  
...  
Keyword(s):  
Equilibrium Dialysis ◽  
Sol Gel ◽  
Casein Micelle ◽  
New Information ◽  
Wide Range ◽  
Sol Gel Transition ◽  
The Cost ◽  
Micelle Hydration ◽  
Gel Transition

The objective of this work is to bring new information about the influence of temperatures (7 °C and 20 °C) on the equation of state and sol–gel transition behavior of casein micelle dispersions. Casein micelle dispersions have been concentrated and equilibrated at different osmotic pressures using equilibrium dialysis at 7 °C and 20 °C. The osmotic stress technique measured the osmotic pressures of the dispersions over a wide range of concentrations. Rheological properties of concentrated dispersions were then characterized, respectively at 7 °C and at 20 °C. The essential result is that casein micelle dispersions are less compressible at 7 °C than at 20 °C and that concentration of sol–gel transition is lower at 7 °C than at 20 °C, with compressibility defined as the inverse to the resistance to the compression, and that is proportional to the cost to remove water from structure. From our interpretations, these two features were fully consistent with a release of soluble β-casein and nanoclusters CaP and an increased casein micelle hydration and apparent voluminosity at 7 °C as compared with 20 °C.

Role of viscoelasticity in the tube model of airway reopening. II. Non-Newtonian gels and airway simulation

1996 ◽  
Vol 80 (5) ◽  
pp. 1649-1659 ◽  
Author(s):  
S. H. Hsu ◽  
K. P. Strohl ◽  
M. A. Haxhiu ◽  
A. M. Jamieson
Keyword(s):  
Viscoelastic Properties ◽  
Flow Instability ◽  
Sol Gel ◽  
Tube Model ◽  
Airway Reopening ◽  
Pharyngeal Airway ◽  
Airway Tube ◽  
Sol Gel Transition ◽  
Gel Transition

The influence of viscoelastic gels as lining fluids on the pressure-velocity relationships in an airway tube model (Gaver et al. J. Appl. Physiol. 69: 74-85, 1990) was examined. A flow instability was observed due to the occurrence of a sol-gel transition in the viscoelastic properties under flow conditions. We further report measurements of the viscoelastic properties of airway secretions. Airway secretions are gels under small strains and have a yield stress of 4-7 dyn/cm2. Secretions from the pharyngeal airway show lower elasticity than secretions from the trachea. The airway reopening process is simulated using a Weibel lung geometry by incorporating the constitutive equations from the model gel studies and utilizing the rheological data on airway secretions. In these simulations, a "popping-open" phenomenon arises from a flow instability in airway generations 8-14 when the rheological properties of the lining fluids are assumed to be similar to those of pharyngeal secretions. On the basis of these studies, the elasticity of airway secretions plays an important role in airway reopening.

The Role of Vitamins in Hemostasis

1975 ◽  
Vol 33 (02) ◽  
pp. 191-198
Author(s):  
Armand J Quick
Keyword(s):  
Vitamin K ◽  
Physiological Mechanism ◽  
Factor Vii ◽  
Clotting Factors ◽  
The Third ◽  
Abnormal Bleeding ◽  
Vitamin Q ◽  
Tissue Thromboplastin ◽  
And Control

SummaryThe physiological mechanism to prevent and control abnormal bleeding is dependent on three vitamins (C, K, and Q). Two of these are unequivocally established as essential for hemostasis while the existence of the third (Q) is supported by experimental evidence and by clinical and therapeutic observations (Quick 1972; Quick 1974). The interrelationship of these three vitamins has remained moot except for clue observations. Both vitamins C and K have a key structure in their molecules which supplies a redox mechanism, ascorbic acid and 2-methyl, 1,4-naphthoquinone, respectively. Both vitamins are concerned with growth. Lack of vitamin C, which clinically is the basic defect in scurvy, does not appear to cause a defect in blood coagulation while vitamin K affects the clotting mechanism by being essential for the production of four distinct clotting factors: prothrombin, factors VII, IX and X.In this presentation an attempt is made to correlate the action of the vitamin K-dependent clotting factors grouping them in a diagram to show how two systems of thrombin formation exist, one being essentially intrinsic, the second extrinsic requiring tissue thromboplastin and factor VII. The possible interlocking of vitamin Q in this mechanism is presented.

scholarly journals Role of sonication pre-treatment and cation valence in the sol-gel transition of nano-cellulose suspensions

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
C. A. Maestri ◽  
M. Abrami ◽  
S. Hazan ◽  
E. Chistè ◽  
Y. Golan ◽  
...  
Keyword(s):  
Sol Gel ◽  
Nano Cellulose ◽  
Sol Gel Transition ◽  
Pre Treatment ◽  
Gel Transition

A Distinction between the Role of Precursor and Activated Forms of Clotting Factors in the Genesis of Stasis Thrombi

1967 ◽  
Vol 18 (01/02) ◽  
pp. 012-023 ◽  
Author(s):  
S Wessler ◽  
E. T Yin ◽  
L. W Gaston ◽  
Iona Nicol
Keyword(s):  
Human Serum ◽  
Factor Ix ◽  
In Vivo Studies ◽  
Factor Vii ◽  
Factor X ◽  
Clotting Factors ◽  
Insight Into

Summary1. In vivo studies in rabbits have shown that the liver diminishes the thrombo-genicity of infused human serum.2. In vitro rabbit liver perfusions with human serum have demonstrated the loss of serum thrombogenicity within 5 min after the onset of the perfusion. Associated with this loss of thrombotic capacity is a marked decrease in the activation product (AP) and labile factor IX (PPA) activity in the infused serum.3. The liver appears to have the capacity to discriminate between circulating activated clotting activities such as AP and PPA and inactive procoagulants such as stable or genuine factor IX, factor VII and factor X. The latter are not cleared from the circulation by the liver.4. These studies provide some insight into the mechanism whereby circulating activated clotting activities and retarded blood flow predispose to thrombosis.

Role of the Surface State and Structural Feature in the Thermoreversible Sol−Gel Transition of a Zirconyl Aqueous Precursor Modified by Sulfuric Acid

2004 ◽  
Vol 16 (21) ◽  
pp. 3995-4004 ◽  
Author(s):  
L. A. Chiavacci ◽  
C. V. Santilli ◽  
S. H. Pulcinelli ◽  
C. Bourgaux ◽  
V. Briois
Keyword(s):  
Sulfuric Acid ◽  
Structural Feature ◽  
Surface State ◽  
Sol Gel ◽  
Sol Gel Transition ◽  
Gel Transition

The role of recombinant activated factor VII in neurosurgery: hope or hype?

2006 ◽  
Vol 105 (6) ◽  
pp. 859-868 ◽  
Author(s):  
Gregory W. J. Hawryluk ◽  
Michael D. Cusimano
Keyword(s):  
Safety Information ◽  
Factor Vii ◽  
Coagulation Disorders ◽  
Clotting Factors ◽  
Recombinant Activated Factor Vii ◽  
Activated Factor Vii ◽  
Neurosurgical Patients ◽  
Perioperative Hemorrhage ◽  
Major Impediment

✓ Recombinant activated factor VII (rFVIIa) is a relatively new pharmaceutical agent developed for use in patients with hemophilia in whom inhibitors to clotting factors VIII or IX have developed. Use of this drug has become common in recent years because of its efficacy and safety in patients with coagulation disorders as well as in patients who are at high risk for thromboembolism, even when other means of establishing hemostasis have failed. The use of rFVIIa in neurosurgery has lagged behind its use in other fields, although there is a growing body of literature on such uses. In this article the authors review the history and science of rFVIIa as well as dosing and safety information. Various uses pertinent to the neurosurgeon are reviewed, including the treatment of patients with coagulation disorders, those suffering trauma, and those with perioperative hemorrhage, intracerebral hemorrhage, or subarachnoid hemorrhage. Based on their review of the uses of rFVIIa, the authors conclude that rFVIIa is a safe and effective agent with the potential to revolutionize the treatment of neurosurgical patients with hemorrhage. Cost is a major impediment to the widespread use of rFVIIa, and there is some evidence that its use in the neurosurgical population may be subject to higher risk than in other populations studied thus far. Although further study is needed to better delineate the safety and efficacy of the drug in many nonlicensed uses, it is clear that rFVIIa is an agent with tremendous promise.

Sign in / Sign up

Export Citation Format

Share Document