Jet Riemann-Lagrange geometry and some applications in theoretical biology. (English) Zbl 1160.53030
The paper is devoted to Riemann-Lagrange geometry on the spaces of 1-jets \(J^1(T,M)\) and some applications in theoretical biology. In particular, the authors study connections, jet electromagnetic fields, Yang-Mills energies, systems of ODEs and apply the results in mathematic models of cancer cell population in biology and in evolution models of the infection by the virus HIV-1.
Reviewer: Miroslav Doupovec (Brno)
MSC:
| 53C43 | Differential geometric aspects of harmonic maps |
| 53C07 | Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) |
| 83C22 | Einstein-Maxwell equations |
Keywords:
jets; connections; Lagrangians; cancer cell population evolution model; Riemann-Lagrange geometryReferences:
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