Relevant bibliographies by topics / Reaction-diffusion processes

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Reaction-diffusion processes'

Author: Grafiati
Published: 28 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Reaction-diffusion processes"

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Chen, Mufa. "Reaction-diffusion processes." Chinese Science Bulletin 43, no. 17 (September 1998): 1409–20. http://dx.doi.org/10.1007/bf02884118.

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Mufa, Chen. "Infinite dimensional reaction-diffusion processes." Acta Mathematica Sinica 1, no. 3 (September 1985): 261–73. http://dx.doi.org/10.1007/bf02564823.

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Hu, Jifeng, Hye-Won Kang, and Hans G. Othmer. "Stochastic Analysis of Reaction–Diffusion Processes." Bulletin of Mathematical Biology 76, no. 4 (May 30, 2013): 854–94. http://dx.doi.org/10.1007/s11538-013-9849-y.

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Gorecki, J., K. Gizynski, J. Guzowski, J. N. Gorecka, P. Garstecki, G. Gruenert, and P. Dittrich. "Chemical computing with reaction–diffusion processes." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2046 (July 28, 2015): 20140219. http://dx.doi.org/10.1098/rsta.2014.0219.

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Chemical reactions are responsible for information processing in living organisms. It is believed that the basic features of biological computing activity are reflected by a reaction–diffusion medium. We illustrate the ideas of chemical information processing considering the Belousov–Zhabotinsky (BZ) reaction and its photosensitive variant. The computational universality of information processing is demonstrated. For different methods of information coding constructions of the simplest signal processing devices are described. The function performed by a particular device is determined by the geometrical structure of oscillatory (or of excitable) and non-excitable regions of the medium. In a living organism, the brain is created as a self-grown structure of interacting nonlinear elements and reaches its functionality as the result of learning. We discuss whether such a strategy can be adopted for generation of chemical information processing devices. Recent studies have shown that lipid-covered droplets containing solution of reagents of BZ reaction can be transported by a flowing oil. Therefore, structures of droplets can be spontaneously formed at specific non-equilibrium conditions, for example forced by flows in a microfluidic reactor. We describe how to introduce information to a droplet structure, track the information flow inside it and optimize medium evolution to achieve the maximum reliability. Applications of droplet structures for classification tasks are discussed.
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Richardson, M. J. E., and Y. Kafri. "Boundary effects in reaction-diffusion processes." Physical Review E 59, no. 5 (May 1, 1999): R4725—R4728. http://dx.doi.org/10.1103/physreve.59.r4725.

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Alimohammadi, M., and N. Ahmadi. "Class of integrable diffusion-reaction processes." Physical Review E 62, no. 2 (August 1, 2000): 1674–82. http://dx.doi.org/10.1103/physreve.62.1674.

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Kurganov, Alexander, and Philip Rosenau. "On reaction processes with saturating diffusion." Nonlinearity 19, no. 1 (November 8, 2005): 171–93. http://dx.doi.org/10.1088/0951-7715/19/1/009.

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Alimohammadi, Masoud. "Solvable reaction-diffusion processes without exclusion." Journal of Mathematical Physics 47, no. 2 (February 2006): 023304. http://dx.doi.org/10.1063/1.2168398.

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Alimohammadi, M., and N. Ahmadi. "p-species integrable reaction–diffusion processes." Journal of Physics A: Mathematical and General 35, no. 6 (February 4, 2002): 1325–37. http://dx.doi.org/10.1088/0305-4470/35/6/301.

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Chen, Mu Fa. "Ergodic theorems for reaction-diffusion processes." Journal of Statistical Physics 58, no. 5-6 (March 1990): 939–66. http://dx.doi.org/10.1007/bf01026558.

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Dissertations / Theses on the topic "Reaction-diffusion processes"

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Hellander, Stefan. "Stochastic Simulation of Reaction-Diffusion Processes." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-198522.

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Numerical simulation methods have become an important tool in the study of chemical reaction networks in living cells. Many systems can, with high accuracy, be modeled by deterministic ordinary differential equations, but other systems require a more detailed level of modeling. Stochastic models at either the mesoscopic level or the microscopic level can be used for cases when molecules are present in low copy numbers. In this thesis we develop efficient and flexible algorithms for simulating systems at the microscopic level. We propose an improvement to the Green's function reaction dynamics algorithm, an efficient microscale method. Furthermore, we describe how to simulate interactions with complex internal structures such as membranes and dynamic fibers. The mesoscopic level is related to the microscopic level through the reaction rates at the respective scale. We derive that relation in both two dimensions and three dimensions and show that the mesoscopic model breaks down if the discretization of space becomes too fine. For a simple model problem we can show exactly when this breakdown occurs. We show how to couple the microscopic scale with the mesoscopic scale in a hybrid method. Using the fact that some systems only display microscale behaviour in parts of the system, we can gain computational time by restricting the fine-grained microscopic simulations to only a part of the system. Finally, we have developed a mesoscopic method that couples simulations in three dimensions with simulations on general embedded lines. The accuracy of the method has been verified by comparing the results with purely microscopic simulations as well as with theoretical predictions.
eSSENCE
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Santos, Jaime Eduardo Moutinho. "Non-equilibrium dynamics of reaction-diffusion processes." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.361994.

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Agliari, Elena, Raffaella Burioni, Davide Cassi, and Franco M. Neri. "Autocatalytic reaction-diffusion processes in restricted geometries." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-192966.

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Agliari, Elena, Raffaella Burioni, Davide Cassi, and Franco M. Neri. "Autocatalytic reaction-diffusion processes in restricted geometries." Diffusion fundamentals 7 (2007) 1, S. 1-8, 2007. https://ul.qucosa.de/id/qucosa%3A14157.

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Claus, Isabelle. "Microscopic chaos, fractals, and reaction-diffusion processes." Doctoral thesis, Universite Libre de Bruxelles, 2002. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211441.

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Abdulbake, Janan. "A renormalisation approach to reaction-diffusion processes on fractals." Thesis, Glasgow Caledonian University, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.289517.

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Chaudhry, Qasim Ali. "Computational Modeling of Reaction and Diffusion Processes in Mammalian Cell." Doctoral thesis, KTH, Numerisk analys, NA, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-93466.

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PAHs are the reactive toxic chemical compounds which are present as environmental pollutants. These reactive compounds not only diffuse through the membranes of the cell but also partition into the membranes. They react with the DNA of the cell giving rise to toxicity and may cause cancer. To understand the cellular behavior of these foreign compounds, a mathematical model including the reaction-diffusion system and partitioning phenomenon has been developed. In order to reduce the complex structure of the cytoplasm due to the presence of many thin membranes, and to make the model less computationally expensive and numerically treatable, homogenization techniques have been used. The resulting complex system of PDEs generated from the model is implemented in Comsol Multiphysics. The numerical results obtained from the model show a nice agreement with the in vitro cell experimental results. Then the model was reduced to a system of ODEs, a compartment model (CM). The quantitative analysis of the results of the CM shows that it cannot fully capture the features of metabolic system considered in general. Thus the PDE model affords a more realistic representation. In order to see the influence of cell geometry in drug diffusion, the non-spherical axi-symmetric cell geometry is considered, where we showed that the cellular geometry plays an important role in diffusion through the membranes. For further reduction of complexity of the model, another simplified model was developed. In the simplified model, we used PDEs for the extracellular domain, cytoplasm and nucleus, whereas the plasma and nuclear membranes were taken away, and replaced by the membrane flux, using Fick's Law. We further extended the framework of our previously developed model by benchmarking against the results from four different cell lines. Global optimization techniques are used for the parameters describing the diffusion and reaction to fit the measured data. Numerical results were in good agreement with the in vitro results. For the further development of the model, the process of surface bound reactions were added, thus developing a new cell model. The effective equations were derived using iterative homogenization for this model. The numerical results of some of the species were qualitatively verified against the in vitro results found in literature.
QC 20120419
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Gérard, Thomas. "Theoretical study of spatiotemporal dynamics resulting from reaction-diffusion-convection processes." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209861.

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Dans les réacteurs industriels ou dans la nature, l'écoulement de fluides peut être couplé à des réactions chimiques. Dans de nombreux cas, il en résulte l'apparition de structures complexes dont les propriétés dépendent entre autres de la géométrie du système.

Dans ce contexte, le but de notre thèse a été d'étudier de manière théorique et sur des modèles réaction-diffusion-convection simples les propriétés de dynamiques spatio-temporelles résultant du couplage chimie-hydrodynamique.

Nous nous sommes focalisés sur les instabilités hydrodynamiques de digitation visqueuse et de densité qui apparaissent respectivement lorsqu'un fluide dense est placé au-dessus d'un fluide moins dense dans le champ de gravité et lorsqu'un fluide visqueux est déplacé par un fluide moins visqueux dans un milieu poreux.

En particulier, nous avons étudié les problèmes suivants:

- L'influence d'une réaction chimique de type A + B → C sur la digitation visqueuse. Nous avons montré que les structures formées lors de cette instabilité varient selon que le réactif A est injecté dans le réactif B ou vice-versa si ces réactifs n'ont pas un coefficient de diffusion ou une concentration initiale identiques.

- Le rôle de pertes de chaleur par les parois du réacteur dans le cadre de la digitation de densité de fronts autocatalytiques exothermiques. Nous avons caractérisé les conditions de stabilité de fronts en fonction des pertes de chaleur et expliqué l'apparition de zones anormalement chaudes lors de cette instabilité.

- L'influence de l'inhomogénéité du milieu sur la digitation de densité de solutions réactives ou non. Nous avons montré que les variations spatiales de perméabilité d'un milieu poreux peuvent figer ou faire osciller la structure de digitation dans certaines conditions.

- L'influence d'un champ électrique transverse sur l'instabilité diffusive et la digitation de densité de fronts autocatalytiques. Il a été montré que cette interaction peut donner lieu à des nouvelles structures et changer les propriétés du front.

En conclusion, nous avons montré que le couplage entre réactions chimiques et mouvements hydrodynamiques est capable de générer de nouvelles structures spatio-temporelles dont les propriétés dépendent entre autres des conditions imposées au système.

/

In industrial reactors or in nature, fluid flows can be coupled to chemical reactions. In many cases, the result is the emergence of complex structures whose properties depend among others on the geometry of the system.

In this context, the purpose of our thesis was to study theoretically using simple models of reaction-diffusion-convection, the properties of dynamics resulting from the coupling between chemistry and hydrodynamics.

We focused on the hydrodynamic instabilities of viscous and density fingering that occur respectively when a dense fluid is placed above a less dense one in the gravity field and when a viscous fluid is displaced by a less viscous fluid in a porous medium.

In particular, we studied the following issues:

- The influence of a chemical reaction type A + B → C on viscous fingering. We have shown that the fingering patterns observed during this instability depends on whether the reactant A is injected into the reactant B or vice versa if they do not have identical diffusion coefficients or initial concentrations.

- The role of heat losses through the reactor walls on the density fingering of exothermic autocatalytic fronts. We have characterized the conditions of stability of fronts depending on heat losses and explained the appearance of unusually hot areas during this instability.

- The influence of the inhomogeneity of the medium on the density fingering of reactive solutions or not. We have shown that spatial variations of permeability of a porous medium may freeze or generate oscillating fingering pattern under certain conditions.

- The influence of a transverse electric field on the Rayleigh-Taylor and diffusive instabilities of autocatalytic fronts. It was shown that this interaction may lead to new structures and may change the properties of the front.

In conclusion, we showed that the coupling between chemical reactions and hydrodynamic motions can generate new space-time structures whose properties depend among others, on the conditions imposed on the system.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished

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Larsson, Stig. "On reaction-diffusion equation and their approximation by finite element methods /." Göteborg : Chalmers tekniska högskola, Dept. of Mathematics, 1985. http://bibpurl.oclc.org/web/32831.

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Wang, Siyang. "Simulation of stochastic reaction-diffusion processes on lower dimensional manifolds with application in molecular biology." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-181613.

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In this thesis, we simulate stochastically the reaction-diffusion processes in a living cell. The simulation is done in three dimension (3D) by MATLAB. The one dimensional (1D) polymers are embedded in the 3D space. The reaction and diffusion events occur both in the space and on the polymers. There is also a possibility for the molecule to jump between the 3D space and 1D polymers. Two simulation levels are used: mesoscopic and microscopic. An accurate and efficient algorithm is developed for the mesoscopic simulation. The corresponding microscopic Smoluchowski equation is solved numerically by a finite difference method in a specific coordinate system adapted to its boundary conditions. The comparison between the result of the mesoscopic simulation and the solution of the microscopic Smoluchowski equation is provided. Good agreement is observed in the experiments.
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Books on the topic "Reaction-diffusion processes"

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author, Durrett Richard 1951, Perkins, Edwin Arend, 1953- author, and Société mathématique de France, eds. Voter model perturbations and reaction diffusion equations. Paris: Societé mathématique de France, 2013.

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NATO Advanced Study Institute on Disorder and Mixing (1987 Cargèse, France). Disorder and mixing: Convection, diffusion, and reaction in random materials and processes. Dordrecht: Kluwer Academic Publishers, 1988.

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Periodic precipitation: A microcomputer analysis of transport and reaction processes in diffusion media, with software development. Oxford [England]: Pergamon, 1991.

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Erban, Radek, and S. Jonathan Chapman. Stochastic Modelling of Reaction-Diffusion Processes. Cambridge University Press, 2020.

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Stochastic Modelling of Reaction-Diffusion Processes. Cambridge University Press, 2020.

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Díaz, Jesús Ildefonso, David Gómez-Castro, and Tatiana A. Shaposhnikova. Nonlinear Reaction-Diffusion Processes for Nanocomposites. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110648997.

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Fasano, A. Problems in Nonlinear Diffusion: Lectures Given at the 2nd 1985 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Montecatini (Lecture Notes in Computer Science). Springer, 1987.

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A, Fasano, Primicerio M, and Centro internazionale matematico estivo, eds. Nonlinear diffusion problems: Lectures given at the 2nd 1985 session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 10-June 18, 1985. Berlin: Springer-Verlag, 1986.

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Disorder and Mixing: Convection, Diffusion and Reaction in Random Materials and Processes. Springer, 2012.

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Mutual Invadability Implies Coexistence in Spatial Models. American Mathematical Society, 2002.

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Book chapters on the topic "Reaction-diffusion processes"

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Tomé, Tânia, and Mário J. de Oliveira. "Reaction-Diffusion Processes." In Graduate Texts in Physics, 351–60. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11770-6_16.

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Freidlin, Mark. "Wave Fronts in Reaction-Diffusion Equations." In Markov Processes and Differential Equations, 91–108. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9191-2_8.

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Volpert, Vitaly. "Reaction-diffusion Processes, Models and Applications." In Elliptic Partial Differential Equations, 3–78. Basel: Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0813-2_1.

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Alcaraz, Francisco C., and Vladimir Rittenberg. "Reaction-Diffusion Processes and Quantum Chains." In Integrable Quantum Field Theories, 187–216. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4899-1516-0_15.

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Freidlin, Mark. "Large Scale Approximation for Reaction-Diffusion Equations." In Markov Processes and Differential Equations, 125–35. Basel: Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9191-2_10.

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Catanzaro, Michele, Marián Boguñá, and Romualdo Pastor-Satorras. "Reaction-diffusion Processes in Scale-free Networks." In Bolyai Society Mathematical Studies, 203–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-69395-6_5.

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Yoo, Han-Ill. "Kinetics of Gas/Solid Reaction: Diffusion-Controlled Case." In Lectures on Kinetic Processes in Materials, 285–311. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-25950-1_8.

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Bandman, Olga. "A Hybrid Approach to Reaction-Diffusion Processes Simulation." In Lecture Notes in Computer Science, 1–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-44743-1_1.

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Engblom, Stefan, Andreas Hellander, and Per Lötstedt. "Multiscale Simulation of Stochastic Reaction-Diffusion Networks." In Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, 55–79. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62627-7_3.

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Bandman, Olga. "Stochastic Cellular Automata as Models of Reaction–Diffusion Processes." In Cellular Automata, 691–703. New York, NY: Springer US, 2018. http://dx.doi.org/10.1007/978-1-4939-8700-9_672.

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Conference papers on the topic "Reaction-diffusion processes"

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Ramos, Juan. "Relaxation Phenomena in Reaction-Diffusion Processes." In The 15th International Heat Transfer Conference. Connecticut: Begellhouse, 2014. http://dx.doi.org/10.1615/ihtc15.cmb.009830.

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ALIMOHAMMADI, M. "GENERALIZED INTEGRABLE MULTI-SPECIES REACTION-DIFFUSION PROCESSES." In Proceedings of the XI Regional Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701862_0006.

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Gallos, Lazaros K., and Panos Argyrakis. "Reaction-diffusion processes in scale-free networks." In SPIE's First International Symposium on Fluctuations and Noise, edited by Lutz Schimansky-Geier, Derek Abbott, Alexander Neiman, and Christian Van den Broeck. SPIE, 2003. http://dx.doi.org/10.1117/12.490200.

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Lohmiller, Winfried, and Jean-Jacques E. Slotine. "On the stability of nonlinear reaction-diffusion processes." In 1999 European Control Conference (ECC). IEEE, 1999. http://dx.doi.org/10.23919/ecc.1999.7099323.

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dos Santos, Jorge, Rogelio Lozano, Alain Friboulet, and Sabine Mondie. "Prediction of unstable behavior in enzymatic diffusion-reaction Processes." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.376927.

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Chen, Yunjin, Wei Yu, and Thomas Pock. "On learning optimized reaction diffusion processes for effective image restoration." In 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2015. http://dx.doi.org/10.1109/cvpr.2015.7299163.

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Davies, Kevin L., Comas L. Haynes, and Christiaan J. J. Paredis. "Modeling Reaction and Diffusion Processes of Fuel Cells within Modelica." In The 7 International Modelica Conference, Como, Italy. Linköping University Electronic Press, 2009. http://dx.doi.org/10.3384/ecp09430106.

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Govind, Pradeep Ananth, and Sanjay Srinivasan. "Accurate Numerical Simulation of Reaction-Diffusion Processes for Heavy Oil Recovery." In International Thermal Operations and Heavy Oil Symposium. Society of Petroleum Engineers, 2008. http://dx.doi.org/10.2118/117792-ms.

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Penenko, Alexey, and Zhadyra Mukatova. "Inverse modeling of diffusion-reaction processes with image-type measurement data." In 2018 11th International Multiconference Bioinformatics of Genome Regulation and Structure\Systems Biology (BGRS\SB). IEEE, 2018. http://dx.doi.org/10.1109/csgb.2018.8544885.

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Meurer, Thomas, and Julian Andrej. "Flatness-based model predictive control of linear diffusion-convection-reaction processes." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8619837.

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Reports on the topic "Reaction-diffusion processes"

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Führ, Martin, Julian Schenten, and Silke Kleihauer. Integrating "Green Chemistry" into the Regulatory Framework of European Chemicals Policy. Sonderforschungsgruppe Institutionenanalyse, July 2019. http://dx.doi.org/10.46850/sofia.9783941627727.

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20 years ago a concept of “Green Chemistry” was formulated by Paul Anastas and John Warner, aiming at an ambitious agenda to “green” chemical products and processes. Today the concept, laid down in a set of 12 principles, has found support in various arenas. This diffusion was supported by enhancements of the legislative framework; not only in the European Union. Nevertheless industry actors – whilst generally supporting the idea – still see “cost and perception remain barriers to green chemistry uptake”. Thus, the questions arise how additional incentives as well as measures to address the barriers and impediments can be provided. An analysis addressing these questions has to take into account the institutional context for the relevant actors involved in the issue. And it has to reflect the problem perception of the different stakeholders. The supply chain into which the chemicals are distributed are of pivotal importance since they create the demand pull for chemicals designed in accordance with the “Green Chemistry Principles”. Consequently, the scope of this study includes all stages in a chemical’s life-cycle, including the process of designing and producing the final products to which chemical substances contribute. For each stage the most relevant legislative acts, together establishing the regulatory framework of the “chemicals policy” in the EU are analysed. In a nutshell the main elements of the study can be summarized as follows: Green Chemistry (GC) is the utilisation of a set of principles that reduces or eliminates the use or generation of hazardous substances in the design, manufacture and application of chemical products. Besides, reaction efficiency, including energy efficiency, and the use of renewable resources are other motives of Green Chemistry. Putting the GC concept in a broader market context, however, it can only prevail if in the perception of the relevant actors it is linked to tangible business cases. Therefore, the study analyses the product context in which chemistry is to be applied, as well as the substance’s entire life-cycle – in other words, the six stages in product innovation processes): 1. Substance design, 2. Production process, 3. Interaction in the supply chain, 4. Product design, 5. Use phase and 6. After use phase of the product (towards a “circular economy”). The report presents an overview to what extent the existing framework, i.e. legislation and the wider institutional context along the six stages, is setting incentives for actors to adequately address problematic substances and their potential impacts, including the learning processes intended to invoke creativity of various actors to solve challenges posed by these substances. In this respect, measured against the GC and Learning Process assessment criteria, the study identified shortcomings (“delta”) at each stage of product innovation. Some criteria are covered by the regulatory framework and to a relevant extent implemented by the actors. With respect to those criteria, there is thus no priority need for further action. Other criteria are only to a certain degree covered by the regulatory framework, due to various and often interlinked reasons. For those criteria, entry points for options to strengthen or further nuance coverage of the respective principle already exist. Most relevant are the deltas with regard to those instruments that influence the design phase; both for the chemical substance as such and for the end-product containing the substance. Due to the multi-tier supply chains, provisions fostering information, communication and cooperation of the various actors are crucial to underpin the learning processes towards the GCP. The policy options aim to tackle these shortcomings in the context of the respective stage in order to support those actors who are willing to change their attitude and their business decisions towards GC. The findings are in general coherence with the strategies to foster GC identified by the Green Chemistry & Commerce Council.
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