BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David F. Anderson (University of Wisconsin - Madison) DTSTART:20240425T153000Z DTEND:20240425T160000Z DTSTAMP:20260421T124657Z UID:MoRN/99 DESCRIPTION:Title: Ch emical mass-action systems as analog computers: implementing arithmetic c omputations at specified speed\nby David F. Anderson (University of Wi sconsin - Madison) as part of Seminar on the Mathematics of Reaction Netwo rks\n\n\nAbstract\nRecent technological advances allow us to view chemical mass-action systems as analog computers. In this context\, the inputs to a computation are encoded as initial values of certain chemical species w hile the outputs are the limiting values of other chemical species. The b road goal of this nascent field is to develop systems that can operate in the niche of a (wet) cellular environment\, rather than to directly compet e with modern digital computers.\n\nThere have been numerous works that de sign reaction networks that carry out basic arithmetic. However\, in gene ral\, these constructions have speeds of computation (i.e.\, a rates of co nvergence) that depend intimately upon the inputs to the computation itsel f\, sometimes making them unusably slow. In this talk\, I will discuss ho w we designed a full suite of “elementary” chemical systems that carry out arithmetic computations (such as inversion\, addition\, roots\, mult iplication\, rectified subtraction\, absolute difference\, etc.) over the real numbers\, and that have speeds of computation that are independent of the inputs to the computations. Moreover\, we proved that finite sequenc es of such elementary modules\, running in parallel\, can carry out compos ite arithmetic over real numbers\, also at a rate that is independent of i nputs. I will close with a number of open questions and directions for fut ure work.\n\nThis is all joint work with Badal Joshi\, and the relevant pa per can be found here: https://arxiv.org/abs/2404.04396.\n LOCATION:https://researchseminars.org/talk/MoRN/99/ END:VEVENT END:VCALENDAR