Review of Lagrangian formalism in biology: recent advances and perspectives
The Lagrangian formalism has attracted the attention of mathematicians and physicists for more than 250 years because of its significant roles in establishing modern theoretical physics. The history of the Lagrangian formalism in biology is much shorter, spanning only the last 50 years. I...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academia.edu Journals
2024-12-01
|
| Series: | Academia Biology |
| Online Access: | https://www.academia.edu/126062719/Review_of_Lagrangian_Formalism_in_Biology_Recent_Advances_and_Perspectives |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859536162717696 |
|---|---|
| author | Diana T. Pham Zdzislaw E. Musielak |
| author_facet | Diana T. Pham Zdzislaw E. Musielak |
| author_sort | Diana T. Pham |
| collection | DOAJ |
| description |
The Lagrangian formalism has attracted the attention of mathematicians and physicists for more than 250 years because of its significant roles in establishing modern theoretical physics. The history of the Lagrangian formalism in biology is much shorter, spanning only the last 50 years. In this article, a broad review of the Lagrangian formalism in biology is presented in the context of both its historical and modern developments. Detailed descriptions of different methods to derive Lagrangians for five selected population dynamics models are given, and the resulting Lagrangians are presented and discussed. The procedure to use the obtained Lagrangians to gain new biological insights into the evolution of the populations without solving the equations of motion is described and applied to the models. Finally, perspectives of the Lagrangian formalism in biology are discussed. |
| format | Article |
| id | doaj-art-5349bc5edce546c6921265cd50664f98 |
| institution | Kabale University |
| issn | 2837-4010 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Academia.edu Journals |
| record_format | Article |
| series | Academia Biology |
| spelling | doaj-art-5349bc5edce546c6921265cd50664f982025-02-11T00:47:16ZengAcademia.edu JournalsAcademia Biology2837-40102024-12-012410.20935/AcadBiol7435Review of Lagrangian formalism in biology: recent advances and perspectivesDiana T. Pham0Zdzislaw E. Musielak1Department of Biology, University of Texas at Arlington, Arlington, TX 76019, USA.Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USA. The Lagrangian formalism has attracted the attention of mathematicians and physicists for more than 250 years because of its significant roles in establishing modern theoretical physics. The history of the Lagrangian formalism in biology is much shorter, spanning only the last 50 years. In this article, a broad review of the Lagrangian formalism in biology is presented in the context of both its historical and modern developments. Detailed descriptions of different methods to derive Lagrangians for five selected population dynamics models are given, and the resulting Lagrangians are presented and discussed. The procedure to use the obtained Lagrangians to gain new biological insights into the evolution of the populations without solving the equations of motion is described and applied to the models. Finally, perspectives of the Lagrangian formalism in biology are discussed.https://www.academia.edu/126062719/Review_of_Lagrangian_Formalism_in_Biology_Recent_Advances_and_Perspectives |
| spellingShingle | Diana T. Pham Zdzislaw E. Musielak Review of Lagrangian formalism in biology: recent advances and perspectives Academia Biology |
| title | Review of Lagrangian formalism in biology: recent advances and perspectives |
| title_full | Review of Lagrangian formalism in biology: recent advances and perspectives |
| title_fullStr | Review of Lagrangian formalism in biology: recent advances and perspectives |
| title_full_unstemmed | Review of Lagrangian formalism in biology: recent advances and perspectives |
| title_short | Review of Lagrangian formalism in biology: recent advances and perspectives |
| title_sort | review of lagrangian formalism in biology recent advances and perspectives |
| url | https://www.academia.edu/126062719/Review_of_Lagrangian_Formalism_in_Biology_Recent_Advances_and_Perspectives |
| work_keys_str_mv | AT dianatpham reviewoflagrangianformalisminbiologyrecentadvancesandperspectives AT zdzislawemusielak reviewoflagrangianformalisminbiologyrecentadvancesandperspectives |