Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology

Details Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology

2008-02-16

arxiv.org/abs/0802.2343v1

Journal of Dynamical Systems and Geometric Theories, Vol. 6, No. 1 (2008), 13-25.

Mathematics

Differential Geometry

14 pages

Scientific paper

The aim of this paper is to construct a natural Riemann-Lagrange differential geometry on 1-jet spaces, in the sense of nonlinear connections, generalized Cartan connections, d-torsions, d-curvatures, jet electromagnetic fields and jet electromagnetic Yang-Mills energies, starting from some given nonlinear evolution ODEs systems modelling biologic phenomena like the cancer cell population model or the infection by human immunodeficiency virus-type 1 (HIV-1) model.

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