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Çok ölçekli modelleme ya da çok ölçekli matematik, sorunların çözülmesi için zaman veya uzayın birden fazla ölçeğindeki özelliklerinin kullanıldığı bir . Bu sorunlar arasında akışkanlar, solids,polimerler,proteinler,nükleik asitler ile adsorpsiyon, kimyasal reaksiyonlar, difüzyon gibi çeşitli fiziksel ve kimyasal olaylar yer almaktadır.
Kaynakça
- ^ Chen, Shiyi; Doolen, Gary D. (1 Ocak 1998). "Lattice Boltzmann Method for Fluid Flows". Annual Review of Fluid Mechanics. 30 (1): 329-364. Bibcode:1998AnRFM..30..329C. doi:10.1146/annurev.fluid.30.1.329.
- ^ a b Steinhauser, M. O. (2017). Multiscale Modeling of Fluids and Solids - Theory and Applications. ISBN .
- ^ Oden, J. Tinsley; Vemaganti, Kumar; Moës, Nicolas (16 Nisan 1999). "Hierarchical modeling of heterogeneous solids". Computer Methods in Applied Mechanics and Engineering. 172 (1): 3-25. Bibcode:1999CMAME.172....3O. doi:10.1016/S0045-7825(98)00224-2.
- ^ Zeng, Q. H.; Yu, A. B.; Lu, G. Q. (1 Şubat 2008). "Multiscale modeling and simulation of polymer nanocomposites". Progress in Polymer Science. 33 (2): 191-269. doi:10.1016/j.progpolymsci.2007.09.002.
- ^ Baeurle, S. A. (2008). "Multiscale modeling of polymer materials using field-theoretic methodologies: A survey about recent developments". Journal of Mathematical Chemistry. 46 (2): 363-426. doi:10.1007/s10910-008-9467-3.
- ^ Kmiecik, Sebastian; Gront, Dominik; Kolinski, Michal; Wieteska, Lukasz; Dawid, Aleksandra Elzbieta; Kolinski, Andrzej (22 Haziran 2016). "Coarse-Grained Protein Models and Their Applications". Chemical Reviews. 116 (14): 7898-7936. doi:10.1021/acs.chemrev.6b00163. ISSN 0009-2665. (PMID) 27333362.
- ^ Levitt, Michael (15 Eylül 2014). "Birth and Future of Multiscale Modeling for Macromolecular Systems (Nobel Lecture)". Angewandte Chemie International Edition (İngilizce). 53 (38): 10006-10018. doi:10.1002/anie.201403691. ISSN 1521-3773. (PMID) 25100216.
- ^ a b Karplus, Martin (15 Eylül 2014). "Development of Multiscale Models for Complex Chemical Systems: From H+H2 to Biomolecules (Nobel Lecture)". Angewandte Chemie International Edition (İngilizce). 53 (38): 9992-10005. doi:10.1002/anie.201403924. ISSN 1521-3773. (PMID) 25066036.
- ^ Warshel, Arieh (15 Eylül 2014). "Multiscale Modeling of Biological Functions: From Enzymes to Molecular Machines (Nobel Lecture)". Angewandte Chemie International Edition (İngilizce). 53 (38): 10020-10031. doi:10.1002/anie.201403689. ISSN 1521-3773. (PMC) 4948593 $2. (PMID) 25060243.
- ^ De Pablo, Juan J. (2011). "Coarse-Grained Simulations of Macromolecules: From DNA to Nanocomposites". Annual Review of Physical Chemistry. 62: 555-574. Bibcode:2011ARPC...62..555D. doi:10.1146/annurev-physchem-032210-103458. (PMID) 21219152.
- ^ Knizhnik, A.A.; Bagaturyants, A.A.; Belov, I.V.; Potapkin, B.V.; Korkin, A.A. (2002). "An integrated kinetic Monte Carlo molecular dynamics approach for film growth modeling and simulation: ZrO2 deposition on Si surface". Computational Materials Science. 24 (1-2): 128-132. doi:10.1016/S0927-0256(02)00174-X.
- ^ Adamson, S.; Astapenko, V.; Chernysheva, I.; Chorkov, V.; Deminsky, M.; Demchenko, G.; Demura, A.; Demyanov, A.; Dyatko, N.; Eletzkii, A; Knizhnik, A; Kochetov, I; Napartovich, A; Rykova, E; Sukhanov, L; Umanskii, S; Vetchinkin, A; Zaitsevskii, A; Potapkin, B (2007). "Multiscale multiphysics nonempirical approach to calculation of light emission properties of chemically active nonequilibrium plasma: Application to Ar GaI3 system". Journal of Physics D: Applied Physics. 40 (13): 3857-3881. Bibcode:2007JPhD...40.3857A. doi:10.1088/0022-3727/40/13/S06.
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Cok olcekli modelleme ya da cok olcekli matematik sorunlarin cozulmesi icin zaman veya uzayin birden fazla olcegindeki ozelliklerinin kullanildigi bir Bu sorunlar arasinda akiskanlar solids polimerler proteinler nukleik asitler ile adsorpsiyon kimyasal reaksiyonlar difuzyon gibi cesitli fiziksel ve kimyasal olaylar yer almaktadir Kaynakca Chen Shiyi Doolen Gary D 1 Ocak 1998 Lattice Boltzmann Method for Fluid Flows Annual Review of Fluid Mechanics 30 1 329 364 Bibcode 1998AnRFM 30 329C doi 10 1146 annurev fluid 30 1 329 a b Steinhauser M O 2017 Multiscale Modeling of Fluids and Solids Theory and Applications ISBN 978 3662532225 Oden J Tinsley Vemaganti Kumar Moes Nicolas 16 Nisan 1999 Hierarchical modeling of heterogeneous solids Computer Methods in Applied Mechanics and Engineering 172 1 3 25 Bibcode 1999CMAME 172 3O doi 10 1016 S0045 7825 98 00224 2 Zeng Q H Yu A B Lu G Q 1 Subat 2008 Multiscale modeling and simulation of polymer nanocomposites Progress in Polymer Science 33 2 191 269 doi 10 1016 j progpolymsci 2007 09 002 Baeurle S A 2008 Multiscale modeling of polymer materials using field theoretic methodologies A survey about recent developments Journal of Mathematical Chemistry 46 2 363 426 doi 10 1007 s10910 008 9467 3 Kmiecik Sebastian Gront Dominik Kolinski Michal Wieteska Lukasz Dawid Aleksandra Elzbieta Kolinski Andrzej 22 Haziran 2016 Coarse Grained Protein Models and Their Applications Chemical Reviews 116 14 7898 7936 doi 10 1021 acs chemrev 6b00163 ISSN 0009 2665 PMID 27333362 Levitt Michael 15 Eylul 2014 Birth and Future of Multiscale Modeling for Macromolecular Systems Nobel Lecture Angewandte Chemie International Edition Ingilizce 53 38 10006 10018 doi 10 1002 anie 201403691 ISSN 1521 3773 PMID 25100216 a b Karplus Martin 15 Eylul 2014 Development of Multiscale Models for Complex Chemical Systems From H H2 to Biomolecules Nobel Lecture Angewandte Chemie International Edition Ingilizce 53 38 9992 10005 doi 10 1002 anie 201403924 ISSN 1521 3773 PMID 25066036 Warshel Arieh 15 Eylul 2014 Multiscale Modeling of Biological Functions From Enzymes to Molecular Machines Nobel Lecture Angewandte Chemie International Edition Ingilizce 53 38 10020 10031 doi 10 1002 anie 201403689 ISSN 1521 3773 PMC 4948593 2 PMID 25060243 De Pablo Juan J 2011 Coarse Grained Simulations of Macromolecules From DNA to Nanocomposites Annual Review of Physical Chemistry 62 555 574 Bibcode 2011ARPC 62 555D doi 10 1146 annurev physchem 032210 103458 PMID 21219152 Knizhnik A A Bagaturyants A A Belov I V Potapkin B V Korkin A A 2002 An integrated kinetic Monte Carlo molecular dynamics approach for film growth modeling and simulation ZrO2 deposition on Si surface Computational Materials Science 24 1 2 128 132 doi 10 1016 S0927 0256 02 00174 X Adamson S Astapenko V Chernysheva I Chorkov V Deminsky M Demchenko G Demura A Demyanov A Dyatko N Eletzkii A Knizhnik A Kochetov I Napartovich A Rykova E Sukhanov L Umanskii S Vetchinkin A Zaitsevskii A Potapkin B 2007 Multiscale multiphysics nonempirical approach to calculation of light emission properties of chemically active nonequilibrium plasma Application to Ar GaI3 system Journal of Physics D Applied Physics 40 13 3857 3881 Bibcode 2007JPhD 40 3857A doi 10 1088 0022 3727 40 13 S06