scholarly journals Diffusion–reaction models of genipin incorporation into fibrin networks

2015 ◽  
Vol 3 (22) ◽  
pp. 4607-4615 ◽  
Author(s):  
Chi Ninh ◽  
Aimon Iftikhar ◽  
Madeline Cramer ◽  
Christopher J. Bettinger

Genipin, a naturally occurring small molecule from gardenia plant, has potential applications as a compound to stabilize clots for many embolization strategies. This work uses a combination of data and predictive frameworks to provide forward guidance in designing controlled release strategies that use genipin for clot stabilization.

Algorithms ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 113
Author(s):  
Stephan Daniel Schwoebel ◽  
Thomas Mehner ◽  
Thomas Lampke

Three-component systems of diffusion–reaction equations play a central role in the modelling and simulation of chemical processes in engineering, electro-chemistry, physical chemistry, biology, population dynamics, etc. A major question in the simulation of three-component systems is how to guarantee non-negative species distributions in the model and how to calculate them effectively. Current numerical methods to enforce non-negative species distributions tend to be cost-intensive in terms of computation time and they are not robust for big rate constants of the considered reaction. In this article, a method, as a combination of homotopy methods, modern augmented Lagrangian methods, and adaptive FEMs is outlined to obtain a robust and efficient method to simulate diffusion–reaction models with non-negative concentrations. Although in this paper the convergence analysis is not described rigorously, multiple numerical examples as well as an application to elctro-deposition from an aqueous Cu2+-(β-alanine) electrolyte are presented.


Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 206
Author(s):  
María Consuelo Casabán ◽  
Rafael Company ◽  
Lucas Jódar

This paper deals with the search for reliable efficient finite difference methods for the numerical solution of random heterogeneous diffusion reaction models with a finite degree of randomness. Efficiency appeals to the computational challenge in the random framework that requires not only the approximating stochastic process solution but also its expectation and variance. After studying positivity and conditional random mean square stability, the computation of the expectation and variance of the approximating stochastic process is not performed directly but through using a set of sampling finite difference schemes coming out by taking realizations of the random scheme and using Monte Carlo technique. Thus, the storage accumulation of symbolic expressions collapsing the approach is avoided keeping reliability. Results are simulated and a procedure for the numerical computation is given.


Author(s):  
Ayushi Singh ◽  
Ashish Kumar Singh ◽  
Jian-Qiang Liu ◽  
Abhinav Kumar

Metal-organic frameworks (MOFs) or coordination polymers (CPs) are regarded as new variety of materials that find potential applications in plethora of areas such as gas/small molecule absorption/separation, gas storage, membranes...


2010 ◽  
Vol 104 (2) ◽  
pp. 118-125 ◽  
Author(s):  
Anja Berwanger ◽  
Susanne Eyrisch ◽  
Inge Schuster ◽  
Volkhard Helms ◽  
Rita Bernhardt

2016 ◽  
Vol 9 (1) ◽  
pp. 011001 ◽  
Author(s):  
Satoshi Fujita ◽  
Reiko Onuki-Nagasaki ◽  
Kenjiro Ikuta ◽  
Yusuke Hara

Author(s):  
Shang Yik Reigh ◽  
Mu-Jie Huang ◽  
Jeremy Schofield ◽  
Raymond Kapral

Active media, whose constituents are able to move autonomously, display novel features that differ from those of equilibrium systems. In addition to naturally occurring active systems such as populations of swimming bacteria, active systems of synthetic self-propelled nanomotors have been developed. These synthetic systems are interesting because of their potential applications in a variety of fields. Janus particles, synthetic motors of spherical geometry with one hemisphere that catalyses the conversion of fuel to product and one non-catalytic hemisphere, can propel themselves in solution by self-diffusiophoresis. In this mechanism, the concentration gradient generated by the asymmetric catalytic activity leads to a force on the motor that induces fluid flows in the surrounding medium. These fluid flows are studied in detail through microscopic simulations of Janus motor motion and continuum theory. It is shown that continuum theory is able to capture many, but not all, features of the dynamics of the Janus motor and the velocity fields of the fluid. This article is part of the themed issue ‘Multiscale modelling at the physics–chemistry–biology interface’.


2016 ◽  
Vol 3 (1) ◽  
pp. 28-44 ◽  
Author(s):  
Liang Yu ◽  
Huixian Wang ◽  
Yatao Zhang ◽  
Bin Zhang ◽  
Jindun Liu

Halloysite nanotubes (HNTs) are naturally occurring clay mineral with nanotubular structures and have found increasing potential applications in industrial fields.


2012 ◽  
Vol 214 (2) ◽  
pp. 280-294 ◽  
Author(s):  
Daniel J. Hines ◽  
David L. Kaplan

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