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ITHEA Classification Structure > G. Mathematics of Computing  > G.1 NUMERICAL ANALYSIS  > G.1.0 General 
ITHEA Classification Structure > G. Mathematics of Computing  > G.2 DISCRETE MATHEMATICS  > G.2.1 Combinatorics 
ITHEA Classification Structure > G. Mathematics of Computing  > G.2 DISCRETE MATHEMATICS  > G.2.2 Graph Theory 
ITHEA Classification Structure > H. Information Systems  > H.1 MODELS AND PRINCIPLES  > H.1.0 General 
CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE ...
By: Ivan Melnyk, Rostyslav Bubnov (3120 reads)
Rating: (1.00/10)

Abstract: Most processes, found in medicine, are nonlinear, chaotic, have a high level of complexity. The decisions in health care are often stereotyped, managed by habits preferences, previous experience and official directives. These decisions might be not completely conscious. There are a lot of papers, devoted to modeling diagnostics or treatment conduction, but still behavior responses of medical practitioners were not studied, no universal comprehensive and effective model was created. Besides nonlinear nature of biomedical phenomena, pathologies, its chaotic expression, all the information process in medicine at each of its stages, including information perception by available diagnostic tools, analysis, decision making and implementation of therapeutic interventions, are complex, chaotic. We made attempts to integrate this process, bringing scheme into harmony. Each stage requires creation some mathematical model, that might be described by generalized equation. These equations can be substituted into one, that could be solved in closed system. We do not aim to find some absolute kind of decision, its statistically calculated optimal way of solution, but accent on a special mood, the state of expert, which could give a possibility to make only one correct decision with failure in input parameters. In such cases the lack of prior data is compensated by doctor’s experience.

Keywords: imaging, mathematical modeling, intervention, choise, error analysis, Monty Hall paradox, method of branches and boundaries.

ACM Classification Keywords: H. Information Systems: H.1 MODELS AND PRINCIPLES: H.1.0 General; G.1.0 Mathematics of Computing General Error analysis; G.2 DISCRETE MATHEMATICS: G.2.1 Combinatorics: Combinatorial algorithms; G.2.2 Graph Theory.

Link:

CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE PREDICTION USING MATHEMATICAL MODELS

Ivan Melnyk, Rostyslav Bubnov

http://www.foibg.com/ijima/vol01/ijima01-1-p07.pdf

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G.1.0 General
article: CONSTRUCTING AN OPTIMAL INVESTMENT PORTFOLIO BY USING FUZZY SETS THEORY · DIRECT AND DUAL PROBLEM OF INVESTMENT PORTFOLIO OPTIMIZATION UNDER UNCERTAINTY · КОМПЛЕКСНЫЙ АНАЛИЗ РИСКА БАНКРОТСТВА КОРПОРАЦИЙ В УСЛОВИЯХ НЕОПРЕДЕЛЕННОСТИ · CONSTRUCTING AN OPTIMAL INVESTMENT PORTFOLIO BY USING FUZZY SETS THEORY · CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE ... · ИССЛЕДОВАНИЕ МНОГОКРИТЕРИАЛЬНОЙ ЗАДАЧИ ОП� ·
G.2.1 Combinatorics
article: RANDOMIZED SET SYSTEMS CONSTRAINED BY THE DISCRETE TOMOGRAPHY · A NEW ALGORITM FOR THE LONGEST COMMON SUBSEQUENCE PROBLEM · ON THE STRUCTURE OF MAXIMUM INDEPENDENT SETS IN BIPARTITE GRAPHS · SOME PROPERTIES IN MULTIDIMENSIONAL MULTIVALUED DISCRETE TORUS · ON PROBLEM OF ADEQUACY OF MULTISET MATHEMATICAL MODELS · SPREADING THE MOORE - PENROSE PSEUDO INVERSE ON MATRICES EUCLIDEAN SPACES: ... · VECTORS AND MATRIXES IN GROUPING INFORMATION PROBLEM · CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE ... · RECURRENT PROCEDURE IN SOLVING THE GROUPING INFORMATION PROBLEM IN APPLIED... · ‘FEATURE VECTORS’ IN GROUPING INFORMATION PROBLEM IN APPLIED MATHEMATICS: .. · DECOMPOSITION METHODS FOR LARGE-SCALE TSP · ON THE DISCRETIZATION OF DISTANCE GEOMETRY PROBLEMS · REGULAR INVERSIVE POLYTOPES · LOGARITHMIC DISTANCES IN GRAPHS · FUZZY SETS AS A MEAN FOR UNCERTAINTY HANDLING: MATH, APPLIED MATH, HEURISTICS · FUZZY SETS: MATH, APPLIED MATH, HEURISTICS? PROBLEMS AND INTERPRETATIONS · CROSS INTERSECTION SEQUEL OF DISCRETE ISOPERIMETRY1 · GENERATING MORE BOUNDARY ELEMENTS OF SUBSET PROJECTIONS · MULTICRITERION PROBLEMS ON THE COMBINATORIAL SET OF POLYARRANGEMENTS · CHAIN SPLIT OF PARTIALLY ORDERED SET OF K-SUBSETS · SOLVING LARGE SYSTEMS OF BOOLEAN EQUATIONS · LAGRANGEAN APPROXIMATION FOR COMBINATORIAL INVERSE PROBLEMS · MULTICRITERION PROBLEMS ON THE COMBINATORIAL SET OF POLYARRANGEMENTS · DESCRIPTION REDUCTION FOR RESTRICTED SETS OF (0,1) MATRICES 1 · DECOMPOSITION OF BOOLEAN FUNCTIONS – RECOGNIZING A GOOD SOLUTION BY TRACES · THE BOUNDARY DESCRIPTORS OF THE n-DIMENSIONAL UNIT CUBE SUBSET PARTITIONING1 · RANDOMIZED PARALLELIZATION – A NEW METHOD FOR SOLVING ... · OPTIMIZATION OF ATM TELECOMMUNICATION NETWORKS · VECTOR COMBINATORIAL PROBLEMS IN A SPACE OF COMBINATIONS ... ·
G.2.2 Graph Theory
article: INFORMATION FLOWS ENHANCEMENT FOR AIS TOURISM AUTOMATED INFORMATION SYSTEM · CONVEXITY RELATED ISSUES FOR THE SET OF HYPERGRAPHIC SEQUENCES · ONTOLOGY OF EDUCATIONAL STANDARDS · THE IMPROVEMENT OF THE PROCESS OF PROVIDING GOVERMENT SERVICES IN MULTIFUNCTIONA · INTERFERENCE MINIMIZATION IN PHYSICAL MODEL OF WIRELESS NETWORKS · Criteria investigations in ant colony optimization algorithm for travelling ... · CRITERIA INVESTIGATIONS IN ANT COLONY OPTIMIZATION ALGORITHM FOR TRAVELLING SALE · CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE ... · LOGARITHMIC DISTANCES IN GRAPHS · MODIFIED BRANCH AND BOUND ALGORITHM FOR SOLVING THE HAMILTONIAN RURAL ... ·
H.1.0 General
article: CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE ... · SITUATIONAL SCRIPT MANAGEMENT OF BUSINESS PROCESSES ... ·
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