Optimal Control Effect into Innate Immune System

García, Ma. Aracelia Alcorta; Alemán, Yosefat Nava; Elizondo-Villarreal, Nora; Rostro, Sonia G. Anguiano; Martínez, Facundo Cortés; Torres‐López, Ernesto

doi:10.1109/icmeae.2015.19

Cited by 2 publications

(4 citation statements)

References 11 publications

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“…( ) is the desired or reference value of the state vector, in this case ( ) take the form of the vector with components [r1(t) = X1max = 316800000, r2 (t) = X2max = 16246487107.42784] which are the asymptotic values. These values are obtained in [13]. The Hamiltonian equation is…”

Section: = / [ ( ) − ( )] [ ( ) − ( )] + / ∫(( ( ) − ( )) ( ( ) − ( )mentioning

confidence: 99%

“…The values of the asymptotes for the state are given by = ; = . , (these were obtained in [13]), applying the log transformation, ( ) = . , ( ) = .…”

Section: Problem Statementmentioning

confidence: 99%

“…One table presents results for case without control in both states ( ) and ( ). The second one with results of [13], with control in state ( ). Third table contains values of the states with controls in both states.…”

Section: Introductionmentioning

confidence: 99%

“…The control input is considering as a medical treatment, which is applied in continuous form via IVs (intravenous fluids), applied each assigned time, in order to normalize the behavior of the state variables (reaching the asymptotic values). In previous work [13], the state ( ) is controller through the control input, and state ( ) is tracking to the asymptotic value through (t) in equation for (t). However the error for the state ( ) is much greater than the error for ( ).…”

Section: Introductionmentioning

confidence: 99%

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Effect of optimal linear control in human monocytes and macrophages system

García¹,

Alemán²,

Elizondo-Villarreal³

et al. 2017

JBS

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Monocytes M and macrophages Mϕ cells are mononuclear essential components of the innate immune system response. M and Mϕ are mononuclear phagocytes that have crucial roles in tissue homeostasis and innate immunity. M Are key players during inflammation and pathogen challenge also are precursor of Mϕ, whereas tissue resident Mϕ has important functions in development, tissue homeostasis and the resolution of inflammation. In previous work, linear optimal control equations with tracking in x2(t) (this is Mϕ) and control only in x1(t), (this is M) were applied obtaining good results. In this work, Linear Optimal Control equations for states x1(t) and x2(t), with tracking in the state x2(t) were applied. It is possible to obtain better convergence results of the states to the asymptotic values (healthy state) when the production rate of (M) and λ into the state equations was modified. Tables and graphics are included.

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Section: = / [ ( ) − ( )] [ ( ) − ( )] + / ∫(( ( ) − ( )) ( ( ) − ( )mentioning

confidence: 99%

“…The values of the asymptotes for the state are given by = ; = . , (these were obtained in [13]), applying the log transformation, ( ) = . , ( ) = .…”

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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