Mathematical evaluation of responses to surgical stimuli under general anesthesia
| Autor: | Nobutaka Kariya, Munetaka Hirose, Ryusuke Ueki, Tsuneo Tatara, Shohei Ooba |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Male
Nociception Physiology Gompertz function lcsh:Medicine Anesthesia General Logistic regression Autonomic Nervous System Article 03 medical and health sciences 0302 clinical medicine 030202 anesthesiology Monitoring Intraoperative Medicine Humans Prospective Studies Logistic function Signs and symptoms lcsh:Science Pain Measurement Retrospective Studies Linear function (calculus) Multidisciplinary business.industry lcsh:R 030208 emergency & critical care medicine Sigmoid function Middle Aged Models Theoretical Exponential function Autonomic nervous system Anesthesia Female lcsh:Q business Biomarkers |
| Zdroj: | Scientific Reports, Vol 10, Iss 1, Pp 1-7 (2020) Scientific Reports |
| ISSN: | 2045-2322 |
| Popis: | Surgical invasion activates nociception, while anesthesia suppresses it. Under general anesthesia, stimulation, which is the balance between nociception and anti-nociception, induces responses, including activation of the autonomic nervous system. To evaluate the associations between stimulation (S) and the resultant responses (R), we examined R values, which were calculated using mathematical models of Stevens’ power law, Gompertz function and logistic function. The previously developed Nociceptive Response (NR) formula was applied as a modified logistic model. S values were calculated using a linear function in the NR formula. In a retrospective study, we developed an exponential model of Stevens’ power law and a sigmoidal model of Gompertz function using differential equations, by adjusting R values to correspond to NR values, in consecutive patients undergoing surgery under general anesthesia (n = 4,395). In a subsequent prospective study, we validated the superiority of R values of Gompertz function and the NR formula in an exponential model in adult patients undergoing tympanoplasty (n = 141) and laparoscopic cholecystectomy (n = 86). In conclusion, both modified logistic function and Gompertz function are likely appropriate mathematical models for representing responses to stimulation resulting from the balance between nociception/anti-nociception during surgical procedures under general anesthesia. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
| Nepřihlášeným uživatelům se plný text nezobrazuje | K zobrazení výsledku je třeba se přihlásit. |