On mathematical modelling of a disease

Asachenkov, A.L.; Belykh, L. N.

doi:10.1007/bfb0036432

Cited by 1 publication

(1 citation statement)

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“…• Its biological relevance has been confirmed via a good qualitative reproduction of severe systemic inflammation in a biological organism. Other mathematical modelings have been proposed (see, e.g., [1], [18], [25], [31], [43], [46], [51], [58]). In spite of interesting preliminary results in [5], [7], [60], state observation and parameter identification are not yet fully mastered.…”

Section: Introductionmentioning

confidence: 99%

Model-free immune therapy: A control approach to acute inflammation

Bara

Fliess

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et al. 2016

2016 European Control Conference (ECC)

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Abstract-Control of an inflammatory immune response is still an ongoing research. Here, a strategy consisting of manipulating a pro and anti-inflammatory mediator is considered. Already existing and promising model-based techniques suffer unfortunately from a most difficult calibration. This is due to the different types of inflammations and to the strong parameter variation between patients. This communication explores another route via the new model-free control and its corresponding "intelligent" controllers. A "virtual" patient, i.e., a mathematical model, is only employed for digital simulations. A most interesting feature of our control strategy is the fact that the two outputs which must be driven are sensorless. This difficulty is overcome by assigning suitable reference trajectories to two other outputs with sensors. Several most encouraging computer simulations, corresponding to different drug treatment strategies, are displayed and discussed.

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