THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORK

The Physiological Principle of Minimum Work

P. S. Bauer t has recently questioned the vMidity of the Physiological Principle of Minimum Work as formulated and applied by me 2 to certain problems concerning the efficiency of operation of the oxygen transport system in man. In contrast to his opinions or the implications which he makes in respect to my work, I reply that this principle should not, and does not rest upon any principle of ph...

The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume.

The Physiological Principle of Minimum Work Applied to the Angle of Branching of Arteries

which embodies Poiseuille's law of flow and a term which covers the cost of maintenance of blood volume, p is the fall in pressure in dynes/cm. ~, b is the cost of blood volume in ergs/cc, sec. (considered constant), vol is the volume, r is the radius of the section of artery, and 71 is the viscosity of whole blood (also taken as "constant"). At constant flow, f (that is, for any given steady s...

The Matrix Minimum Principle

The purpose of this paper is to provide an a]ternate statement of the Pontryagin maximum principle as applied to systems which are most conveniently and naturally described by matrix, rather than vector, differential or difference equations. The use of gradient matrices facilitates the manipulation of the resultant equations. The ~heory is applied to the solution of a simple optimization problem.

The Principle of Minimum Chemical Distance and the Principle of Minimum Structure Change

J. Dugundji Department of Mathematics, University of So. Cal., Los Angeles, CA. 90007, USA Z. Naturforsch. 37 b, 1205-1215 (1982); received April 5, 1982 Chemical Topology, Structure Correlation, Measure of Chemical Similarity, Quality of Syntheses, Shortest Reaction Pathways The principle of minimum chemical distance (PMCD) is derived from the general theory of the BEand R-matrices, and makes ...