Georgia Institute of Technology

Biomedical Engineering

Eberhard O. Voit

Lowly Logarithm:  The Ultimate Nonlinearity?

Abstract: The presentation will consist of three parts.  In the first, I will review our efforts on modeling and understanding biological systems with mathematical means.  The primary tool for these analyses is Biochemical Systems Theory, which is mathematically based on power-law approximations.  The second part will demonstrate that the same type of representation leads to “canonical” models that contain virtually all-differentiable nonlinearities as exact special cases.  The generality of this feature has theoretical and practical applications.  The third part is a mixture of the two previous parts, where I will show methods of approximate function classification with the same type of power-law models