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


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

Coauthor: Helmut Maurer


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
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" [...]


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