applications of optimal control theory to biological...

APPLICATIONS OF OPTIMAL CONTROL THEORY TO BIOLOGICAL MODELS Op#mal control theory has been successfully used in many decision‐making areas such as economics, biology, physics and engineering. In this talk, we focus on op#mal control problems in the context of epidemiological or biological applica#ons. These problems involve ordinary differen#al equa#ons, discrete system, and par#al differen#al equa#ons. For each case, we iden#fy and characterize op#mal controls and also evaluate the impact of them on the dynamics. First, few mathema#cal models of influenza dynamics are considered to iden#fy op#mal treatment and isola#on interven#ons or op#mal age‐specific vaccina#on strategies. This study highlights insights on the role of effec#ve public health policies to mi#gate the spread of influenza. Secondly, we consider a reac#on‐diffusion equa#on for a spa#ally distributed popula#on model under different growth func#ons. Then, op#mal harvest strategies are discussed for this reac#on diffusion model. SPEAKER: Sunmi Lee Arizona State University DATE: Friday, November 11 REFRESHMENTS: 2:30 – 2:50 pm PLACE: BH 143 TALK TIME: 3:00 – 4:00 pm Department of MathemaQcal Sciences Colloquium Talk CONTACT: EMIL SCHWAB/LETICIA VELAZQUEZ (ESCHWAB@UTEP.EDU/LETI@UTEP.EDU) The talk is sponsored by the Bioinforma#cs Program, Department of Mathema#cal Sciences, Computa#onal Science Program.. Dr. Sunmi Lee earned a PhD in Mathema#cs in 2005 from the University of California at Los Angeles, a BS and MS in Mathema#cs from Kyung Hee University in Korea.. She is currently a Research Assistant Professor at the Mathema#cal and Computa#onal Modeling Sciences Center at Arizona State University, Her research interests are: • Numerical methods and par#al differen#al equa#ons in infinite domain problems. • Computa#onal fluid dynamics: Immersed boundary method/Immersed interface method. • Epidemiological models using op#mal control theory. • Mathema#cal modeling applied to biological/physiological systems.

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Page 1: APPLICATIONS OF OPTIMAL CONTROL THEORY TO BIOLOGICAL …cybershare.utep.edu/sites/default/files/attachments/events/sunmi... · APPLICATIONS OF OPTIMAL CONTROL THEORY TO BIOLOGICAL

SPEAKER:SunmiLeeArizonaStateUniversity

DATE:Friday,November11REFRESHMENTS:2:30–2:50pmPLACE:BH143 TALKTIME:3:00–4:00pm

DepartmentofMathemaQcalSciencesColloquiumTalk

CONTACT:EMILSCHWAB/LETICIAVELAZQUEZ([email protected]/[email protected])ThetalkissponsoredbytheBioinforma#csProgram,DepartmentofMathema#calSciences,Computa#onalScienceProgram..

Dr.SunmiLeeearnedaPhDinMathema#csin2005fromtheUniversityofCaliforniaatLosAngeles,aBSandMSinMathema#csfromKyungHeeUniversityinKorea..SheiscurrentlyaResearchAssistantProfessorattheMathema#calandComputa#onalModelingSciencesCenteratArizonaStateUniversity,Herresearchinterestsare:•Numericalmethodsandpar#aldifferen#alequa#onsininfinitedomainproblems.•Computa#onalfluiddynamics:Immersedboundarymethod/Immersedinterfacemethod.•Epidemiologicalmodelsusingop#malcontroltheory.•Mathema#calmodelingappliedtobiological/physiologicalsystems.

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