CONTENTS PREFACE vii Mathematical models in the behavior of the central nervous system . . 1 By H. D. LANDAHL Machine models of self-reproduction . . . . . . . 1 7 By EDWARD F. MOORE Problems of formulation for artificial intelligence . . . . . 35 By MARVIN L. MINSKY History and speculation on protein synthesis . . . . . . 47 By PAUL C. ZAMECNIK Knotting problems in biology . . . . . . . . 55 By M. DETRUCK with an appendix entitled "A measure of entanglement" By F. BROCK FULLER Biochemistry: sterile or virgin for mathematicians? . . . . 69 By ARTHUR B. PARDEE Chemical reaction occurring with migration . . . . . . 8 3 By N. SHAPIRO Efficient coding for the deoxyribonucleic channel . . . . . 87 By S. W. APLOMB A study„of Lerman's model for diffusion and capture of excitons in DNA . 101 By WALTER GOAD The mathematics of pattern recognition for the electrocardiogram . . 1 0 5 By MAX A. WOODBURY AND LEE D. CADY, JR. Medical diagnosis and modern decision making . . . . . 1 1 7 By ROBERT S. LEDLEY AND LEE B. LUSTED Some mathematical problems in physiology: statistical ensembles . . 1 5 9 By JOHN A. JACQUEZ v

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