The Process of Medical Diagnosis: Routes of Mathematical Investigations

Abstract

This paper is an analysis of the most important mathematical aspects of medical diagnosis: logical probability, rationality and decision theory, gambling models, pattern analysis, hazy and fuzzy subsets theory and, finally, the stochastic inquiry process.

Computer-Linked Memorandum of Pathology System (CLIMPS 7909) for Interactive Storage and Analysis of Surgical Pathology Data

“…We were initially tempted to incorporate into this system a diagnostic module based on the Bayesian theorem, but it seemed to be still premature and impractical. In spite of many mathematical tools that have been proposed [24,26,27] and applied successfully to other fields of medicine, diagnosis in pathology is typical for the enormous cliversity of possible diagnoses which must be differentiated and also for the instability of analytic results that depend so much upon the examiner's subjective judgement of the elementary histological findings. For these reasons, CLIMPS remains a diagnostic support which clisplays a spectrum of possible diagnoses to stimulate the association of ideas.…”

Developing of a Computerized Brain Diagnosing System for Case Study Analyses at a University Teaching Hospital in Nigeria

“…Today we are engaged in numerous long term studies of the heath effect of various substances, the eventual outcomes of competing methods of treatments, and due clinical development of diseases. Large databases on significant populations, concentrating on cardiovascular disease, arthritis, cancer and other major medical problems are now being collected and used to clarify the time incidence of diseases, to identify demographic factors and to measure therapeutic efficacy of drugs and procedures (Rosati et al1975;Weyl et al 1975;Tautu and Wagner, 1978).…”

Prescription séquentielle des examens complémentaires en médecine : étude par simulation de quelques heuristiques

“…L'intérêt du concept d'heuristique en médecine dépasse largement le cadre de ce travail, et a été souligné par de nombreux auteurs [3,17,18]. Les deux heuristiques étudiées ont été choisies à partir de considérations simples sur la démarche médicale.…”