Formal modeling and analysis of interacting hybrid systems in HI-Maude: What happened at the 2010 Sauna World Championships?

In this paper we use HI-Maude to model and analyze the human thermoregulatory system and the effect of extreme heat exposure to the human body. The case study is motivated by the 2010 Sauna World Championships, which ended in a tragedy when the last two finalists were severely burnt in surprisingly short time (one of them died the next day). HI-Maude is a rewriting-logic-based formal modeling language and analysis tool for complex hybrid systems whose components influence each others' continuous dynamics. One distinguishing feature of HI-Maude is that the user only needs to describe the continuous dynamics of single components and interactions, instead of having to explicitly define the continuous dynamics of the entire system. HI-Maude analyses are based on numerical approximations of the system's continuous behaviors. We use HI-Maude to analyze how long the human body can survive when experiencing extreme conditions such as those encountered in the Sauna World Championships. Provides a formal rewriting logic model of the human thermoregulatory system.Proposes a formal model for discomfort thresholds and voluntary behaviors.Defines a formal model of the sauna used in the Sauna World Championships.Analyzes possible causes of the accident at the 2010 Sauna World Championships.

[1]  Peter Csaba Ölveczky,et al.  Formal Modeling and Analysis of Human Body Exposure to Extreme Heat in HI-Maude , 2012, WRLA.

[2]  Edward Arens,et al.  Indoor Environmental Quality ( IEQ ) Title A model of human physiology and comfort for assessing complex thermal environments , 2001 .

[3]  Roberto Bruni,et al.  Semantic foundations for generalized rewrite theories , 2006, Theor. Comput. Sci..

[4]  Grant C. Bue,et al.  Dynamic Simulation of Human Thermoregulation and Heat Transfer for Spaceflight Applications , 2011 .

[5]  Malcolm J. McPherson,et al.  Subsurface Ventilation and Environmental Engineering , 1993 .

[6]  H. Hensel.  Thermoreception and temperature regulation. , 1981, Monographs of the Physiological Society.

[7]  Narciso Martí-Oliet,et al.  All About Maude - A High-Performance Logical Framework, How to Specify, Program and Verify Systems in Rewriting Logic , 2007, All About Maude.

[8]  Pravin Varaiya,et al.  What's decidable about hybrid automata? , 1995, STOC '95.

[9]  Ken Parsons,et al.  Human Thermal Environments: The Effects of Hot, Moderate, and Cold Environments on Human Health, Comfort and Performance , 1999 .

[10]  Patrick Viry,et al.  Equational rules for rewriting logic , 2002, Theor. Comput. Sci..

[11]  Michael N. Sawka,et al.  ACSM's advanced exercise physiology , 2006 .

[12]  Gul Agha,et al.  A Logical Theory of Concurrent Objects and Its Realization in the Maude Language , 2003 .

[13]  Muhammad Fadlisyah,et al.  Formal modeling and analysis of hybrid systems in rewriting logic using higher-order numerical methods and discrete-event detection , 2011, 2011 CSI International Symposium on Computer Science and Software Engineering (CSSE).

[14]  Peter Csaba Ölveczky,et al.  The Real-Time Maude Tool , 2008, TACAS.

[15]  Louis A. Bloomfield.  How Things Work: The Physics of Everyday Life , 1996 .

[16]  Thomas A. Henzinger,et al.  The Algorithmic Analysis of Hybrid Systems , 1995, Theor. Comput. Sci..

[17]  Peter Csaba Ölveczky,et al.  A Rewriting-Logic-Based Technique for Modeling Thermal Systems , 2010, RTRTS.

[18]  P A Hancock.  Predictive validity of a computer model of body temperature during exercise. , 1981, Medicine and science in sports and exercise.

[19]  Peter Csaba Ölveczky,et al.  Adaptive-Step-Size Numerical Methods in Rewriting-Logic-Based Formal Analysis of Interacting Hybrid Systems , 2011, TTSS.

[20]  René David,et al.  On Hybrid Petri Nets , 2001, Discret. Event Dyn. Syst..

[21]  Peter Csaba Ölveczky,et al.  The HI-Maude Tool , 2013, CALCO.

[22]  R. P. Mccall.  Physics of the human body , 2010 .

[23]  Claude A. Piantadosi.  The biology of human survival : life and death in extreme environments , 2003 .

[24]  Peter Csaba Ölveczky,et al.  Object-Oriented Formal Modeling and Analysis of Interacting Hybrid Systems in HI-Maude , 2011, SEFM.

[25]  Lucian Georgescu,et al.  The Point of No Return , 2015 .

[26]  José Meseguer,et al.  Membership algebra as a logical framework for equational specification , 1997, WADT.

[27]  José Meseguer,et al.  Conditioned Rewriting Logic as a United Model of Concurrency , 1992, Theor. Comput. Sci..

[28]  Jonathan B. Clark,et al.  Use of Thermoregulatory Models to Enhance Space Shuttle and Space Station operations and Review of Human Thermoregulatory Control , 2007 .

[29]  Zita McGregor,et al.  At the point of no return. , 2002, Nursing standard (Royal College of Nursing (Great Britain) : 1987).

[30]  A. P. Gagge,et al.  An Effective Temperature Scale Based on a Simple Model of Human Physiological Regulatiry Response , 1972 .

[31]  ÖlveczkyPeter Csaba,et al.  Semantics and pragmatics of Real-Time Maude , 2007 .

[32]  Stephan A. Konz,et al.  Engineering Models of the Human Thermoregulatory System-A Review , 1977, IEEE Transactions on Biomedical Engineering.

[33]  P. E. Wellstead,et al.  Introduction to physical system modelling , 1979 .