Mathematical medicine, an introductory discussion of its meaning and significance in medicine and medical education.

This is not a review, but an introductory discussion, including a few selected references, of the meaning and significance of the currently evolving concept of a mathematical medicine. It will be seen that mathematical medicine is crystallizing out of a wide spectrum of mathematically oriented biological, medical and biomedical subdisciplines. This discussion stresses the relationships of the points of view and methodologies in these areas to those of the Science and Art of Medicine and to medical education as demonstrated by a few examples from the literature.

[1]  M. Kimura.  Stochastic processes and distribution of gene frequencies under natural selection. , 1955, Cold Spring Harbor symposia on quantitative biology.

[2]  G. P. Moore,et al.  Neuronal spike trains and stochastic point processes. I. The single spike train. , 1967, Biophysical journal.

[3]  J. Woodger,et al.  Biology and Language , 1952 .

[4]  P. Armitage,et al.  Sequential tests in prophylactic and therapeutic trials. , 1954, The Quarterly journal of medicine.

[5]  H. Landahl,et al.  A two-compartmental model for insulin secretion. , 1970, Advances in metabolic disorders.

[6]  T Y YOUNG,et al.  COMPUTER ANALYSIS OF ELECTROCARDIOGRAMS USING A LINEAR REGRESSION TECHNIQUE. , 1964, IEEE transactions on bio-medical engineering.

[7]  N. Rashevsky.  SOME MEDICAL ASPECTS OF MATHEMATICAL BIOLOGY. , 1964, Rhode Island medical journal.

[8]  T Chorbajian,et al.  An in numero study of glucose-insulin interaction. , 1971, The Bulletin of mathematical biophysics.

[9]  Benedict Delisle Burns,et al.  The uncertain nervous system , 1968 .

[10]  W. McCulloch,et al.  The limiting information capacity of a neuronal link , 1952 .

[11]  C A Caceres,et al.  Pattern reading of the clinical electroencephalogram with a digital computer. , 1967, Electroencephalography and clinical neurophysiology.

[12]  G. P. Moore,et al.  Statistical analysis and functional interpretation of neuronal spike data. , 1966, Annual review of physiology.

[13]  A F BARTHOLOMAY.  The sequential probability ratio test applied to the design of clinical experiments. , 1957, The New England journal of medicine.

[14]  Fred S. Grodins,et al.  Control Theory and Biological Systems , 1963 .

[15]  A. F. Bartholomay,et al.  Some General Ideas on Deterministic and Stochastic Models of Biological Systems , 1968 .

[16]  D. O'Mathuna,et al.  A theoretical approach to the study of genetic parameters of histocompatibility in man , 1966, Annals of human genetics.

[17]  T Y YOUNG,et al.  ON THE REPRESENTATION OF ELECTROCARDIOGRAMS. , 1963, IEEE transactions on bio-medical engineering.

[18]  E. Ackerman,et al.  A Mathematical Model of the Glucose-tolerance test , 1964 .

[19]  A. Feinstein.  TAXONOMY AND LOGIC IN CLINICAL DATA * , 1969, Annals of the New York Academy of Sciences.

[20]  Claud L. Brown,et al.  Growth and Form , 1971 .

[21]  S. M. Shea,et al.  In numero studies in a cell renewal system. Periodically adjusted cell renewal process. , 1965, Journal of theoretical biology.

[22]  Cedric A. B. Smith,et al.  An Introduction to Genetic Statistics , 1958 .

[23]  D'arcy W. Thompson.  On Growth and Form , 1945 .

[24]  W. London.  A theoretical study of hepatic glycogen metabolism. , 1966, The Journal of biological chemistry.

[25]  R S LEDLEY,et al.  Reasoning foundations of medical diagnosis; symbolic logic, probability, and value theory aid our understanding of how physicians reason. , 1959, Science.

[26]  L STARK,et al.  COMPUTER PATTERN RECOGNITION TECHNIQUES: SOME RESULTS WITH REAL ELECTROCARDIOGRAPHIC DATA. , 1963, IEEE transactions on bio-medical engineering.

[27]  A F Bartholomay,et al.  Some mathematical aspects of the medical diagnostic process. I. A general mathematical model. , 1971, The Bulletin of mathematical biophysics.

[28]  J. Neyman,et al.  A simple stochastic model of recovery, relapse, death and loss of patients. , 1951, Human biology.