BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Radek Erban (University of Oxford) DTSTART:20230427T153000Z DTEND:20230427T160000Z DTSTAMP:20260421T123811Z UID:MoRN/76 DESCRIPTION:Title: Ch emical Reaction Networks: Systematic Design\, Noise Control and Limit Cycl es\nby Radek Erban (University of Oxford) as part of Seminar on the Ma thematics of Reaction Networks\n\n\nAbstract\nChemical reaction networks d escribe interactions between biochemical species. Two types of mathematica l models of reaction systems will be considered: (i) deterministic models which are written in terms of reaction rate equations (i.e. ordinary diffe rential equations (ODEs) for concentrations of biochemical species involve d)\; and (ii) stochastic models of reaction networks\, given in terms of t he Gillespie stochastic simulation algorithm\, which provides more detaile d information about the simulated system than ODEs. I will discuss methods for systematic design of relatively simple reaction systems with exotic d ynamical behaviour\, including applications to synthetic biology and DNA c omputing. Considering deterministic models of reaction networks\, I will p resent examples of reaction systems with multiple oscillating solutions or systems whose deterministic models (based on reaction rate equations) und ergo specific bifurcations. Since reaction networks in biological applicat ions often involve species at low-copy numbers\, stochastic effects may be come a significant part of the dynamics. In such circumstances\, tools for controlling the intrinsic noise in the system are needed for a successful network design. To this end\, the so-called noise control algorithm will be presented. The algorithm structurally modifies any given reaction netwo rk under the mass action kinetics\, in such a way that controllable state- dependent noise is introduced into the stochastic dynamics\, while the det erministic dynamics (based on reaction rate equations) are preserved. I wi ll present reaction networks with noise-induced oscillations and multi-sta bility.\n\nReferences:\n[1] Radek Erban and Hye Won Kang\, "Chemical Syste ms with Limit Cycles"\, submitted\, available as https://arxiv.org/abs/221 1.05755 (2022)\n\n[2] Radek Erban and S. Jonathan Chapman\, "Stochastic M odelling of Reaction-Diffusion Processes"\, Cambridge Texts in Applied Mat hematics\, Cambridge University Press (2020)\n\n[3] Tomislav Plesa\, Konst antinos Zygalakis\, David Anderson and Radek Erban\, "Noise control for mo lecular computing"\, Journal of the Royal Society Interface\, Volume 15\, Number 144\, 20180199 (2018)\n LOCATION:https://researchseminars.org/talk/MoRN/76/ END:VEVENT END:VCALENDAR