LEADER 03098nam 2200565 a 450 001 9910300387003321 005 20200520144314.0 010 $a3-319-00753-X 024 7 $a10.1007/978-3-319-00753-3 035 $a(CKB)2670000000423467 035 $a(SSID)ssj0000988295 035 $a(PQKBManifestationID)11539233 035 $a(PQKBTitleCode)TC0000988295 035 $a(PQKBWorkID)10950258 035 $a(PQKB)11306026 035 $a(MiAaPQ)EBC1398592 035 $a(DE-He213)978-3-319-00753-3 035 $a(PPN)172422825 035 $a(EXLCZ)992670000000423467 100 $a20130514d2014 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTackling the inverse problem for non-autonomous systems $eapplication to the life sciences /$fTomislav Stankovski 205 $a1st ed. 2014. 210 $aNew York $cSpringer$d2014 215 $axv, 135 p 225 1 $aSpringer theses : recognizing outstanding Ph.D. research,$x2190-5053 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03291-7 311 $a3-319-00752-1 320 $aIncludes bibliographical references. 327 $aTheoretical background: non-autonomous systems and synchronization -- Inference of time-evolving coupled dynamical systems in the presence of noise -- Application to life sciences -- Analogue simulation and synchronization analysis of non-autonomous oscillators. 330 $aThis thesis presents a new method for following evolving interactions between coupled oscillatory systems of the kind that abound in nature. Examples range from the subcellular level, to ecosystems, through climate dynamics, to the movements of planets and stars.  Such systems mutually interact, adjusting their internal clocks, and may correspondingly move between synchronized and non-synchronized states. The thesis describes a way of using Bayesian inference to exploit the presence of random fluctuations, thus analyzing these processes in unprecedented detail.  It first develops the basic theory of interacting oscillators whose frequencies are non-constant, and then applies it to the human heart and lungs as an example. Their coupling function can be used to follow with great precision the transitions into and out of synchronization. The method described has the potential to illuminate the ageing process as well as to improve diagnostics in cardiology, anesthesiology and neuroscience, and yields insights into a wide diversity of natural processes. 410 0$aSpringer theses. 606 $aInverse problems (Differential equations) 606 $aBayesian statistical decision theory 615 0$aInverse problems (Differential equations) 615 0$aBayesian statistical decision theory. 676 $a621 700 $aStankovski$b Tomislav$0791339 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300387003321 996 $aTackling the Inverse Problem for Non-Autonomous Systems$91768717 997 $aUNINA