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SUMMARY:The exact expression for increasing selectivity through statistica
 l fluctuations in a system with a threshold
DTSTART;VALUE=DATE-TIME:20260924T081000Z
DTEND;VALUE=DATE-TIME:20260924T083000Z
DTSTAMP;VALUE=DATE-TIME:20260914T032517Z
UID:indico-contribution-518@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Oleksandr Vidybida (Bogolyubov Institute for Theoret
 ical Physics)\nIn various statistically defined situations\, like referend
 um\, epidemic threshold\, mass service process or a chemical sensor the pr
 obability of overall output coincides with the probability that a threshol
 d $N_0$ number of elementary events has been achieved. The latter depends 
 on the probability $p$ that a single elementary event happens. Elementary 
 event for a referendum case is the positive vote of a single voter\; for a
  chemical sensor $-$ is the ligand binding by a single receptor in the sen
 sor. The probability $p$ of elementary event may depend on some external f
 actor $-$ campaigning type L for the referendum case\, or the ligand type 
 L applied in the case of chemical sensor. This constitutes the selectivity
  of elementary event. Naturally\, the probability that the threshold $N_0$
  is achieved depends on L as well. This constitutes the selectivity of ess
 ential event. Any of the two selectivities can be expressed by means of a 
 dimensionless non-negative number. We derive a concise mathematical expres
 sion\, for comparing the two selectivities\, based on the incomplete beta-
 function\, or on a continued fraction. Possible application in a chemical 
 sensor is discussed.\n\nhttps://indico.bitp.kiev.ua/event/18/contributions
 /518/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/518/
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