The development of largangians for biological models
Copyright policy )The development of largangians for biological models
A modern theory of the calculus of variations is used to form necessary and sufficient conditions for the existence of a Lagrangian representation of a system of first-order ordinary differential equations. There exists a theorem to the effect that when a system of ordinary differential equations is variationally self-adjoint, the fulfillment of such conditions is guaranteed. In addition, self-adjointness, allows establishement of an algorithm by which a Lagrangian for the system may be explicitly constructed. Examples in mathematical biology are given to illustrate the use of the stated theorem.
- University of Mary United States
- Washington University in St. Louis United States
Neurons, variationally self-adjoint, Models, Neurological, Biophysics, Models, Biological, existence of Lagrangian representation of system of first-order ordinary differential equations, Dynamical systems and ergodic theory, Animals, biological models, Mathematics
Neurons, variationally self-adjoint, Models, Neurological, Biophysics, Models, Biological, existence of Lagrangian representation of system of first-order ordinary differential equations, Dynamical systems and ergodic theory, Animals, biological models, Mathematics
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