In Vivo Controllability of a Metastasizing Cell as an Unstable Nonlinear Distributed System

摘要

Gradient in vivo control operating in conjunction with boundary control on the cell membrane are shown to render control upon an unstable metastasizing cell described by a nonlinear parabolic distributed system stabilized and bring it under complete control. Similarly, time-rate in vivo control operations are shown to render an unstable nonlinear distributed syslem in a semi-infinite medium completely controllable. Such control functions in a biological cell are shown to play a vital role in the control of a malignant tumor in a living organism. Application of this new type of mathematical models in clinical oncology will shed new insight into cellular control mechanism in an in vivo biological cell and provide a new clinical tool to cancer management.