Monday, 16:15 - 16:40 h, Room: H 2033

 

Laurenz Göllmann
Combination therapy considered as a multiple delayed optimal control problem

Coauthor: Helmut Maurer

 

Abstract:
We consider optimal control problems with multiple time
delays in state and control and present an enhanced form of Pontryagin's
minimum principle as well as a numerical discretization method.
Let x(t) ∈ Rn denote the state and
u(t) ∈ Rm denote the control of a system at time t.
Time delays for x and u are
given by a vector (r1, … ,rd).
The problem for two delays has been investigated earlier in
[GöllmannKernMaurer09]. We now present
a generalization in form of necessary conditions for the problem with multiple
delays.
We finally optimize
a combination therapy by a model of the innate immune response
with a delayed antibody production and a retarded drug action.

 

Talk 3 of the contributed session Mon.3.H 2033
"Therapy planning" [...]
Cluster 12
"Life sciences & healthcare" [...]

 

  There are three major facts that should be watched out for in all payday loans in the United States. The new drug with unique properties was developed to help men to get rid of all sexual disorders, and its name is Cialis Super Force. Now you do not have to buy two different medications to solve sexual problems.