Çok ölçekli modelleme

Çok ölçekli modelleme ya da çok ölçekli matematik, sorunların çözülmesi için zaman veya uzayın birden fazla ölçeğindeki özelliklerinin kullanıldığı bir bilim dalıdır. Bu sorunlar arasında akışkanlar,^[1]^[2] solids,^[2]^[3] polimerler,^[4]^[5] proteinler,^[6]^[7]^[8]^[9] nükleik asitler^[10] ile adsorpsiyon, kimyasal reaksiyonlar, difüzyon gibi çeşitli fiziksel ve kimyasal olaylar yer almaktadır.^[8]^[11]^[12]

Kaynakça[değiştir | kaynağı değiştir]

^ 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; 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.

[1] 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.

[Steinhauser_20082-2] Steinhauser, M. O. (2017). Multiscale Modeling of Fluids and Solids - Theory and Applications. ISBN 978-3662532225.

[3] 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.

[4] 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_20092-5] 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.

[6] 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.

[:0-7] 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.

[:1-8] 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.

[9] 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_20112-10] 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.

[Knizhnik2-11] 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.

[Adams2-12] 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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Çok ölçekli modelleme nedir?, Çok ölçekli modelleme anlamı nedir?, Çok ölçekli modelleme ne demektir?

Çok ölçekli modelleme nedir?, Çok ölçekli modelleme anlamı nedir?, Çok ölçekli modelleme ne demektir?

Çok ölçekli modelleme

Kaynakça[değiştir | kaynağı değiştir]