Kinetorheological aspects of biorheology

The relationship between stress and strain is the rheological equation of state. In the case of sophisticated systems such as biological tissue, this is rarely a simple relationship. The relationship is seen to be even more complex when it is recalled that in most living tissues, the tissue is not in chemical equilibrium, but is at best in some controlled steady state. At worst, it is undergoing major fluctuations or transitions because the chemical reactions or fluxes are altering the system. It is shown, in particular, that in addition to the changes in composition, the effective rheological relaxation times of the system are shortened due to contributions deriving from the reaction rate constants. These and other points are illustrated by considering a process of irreversible monomolecular degradation of a large macromolecular species.     

Molecular biology in biorheology

This presentation is aimed at giving some background information on molecular biology, thus serving as an introduction to the Symposium on Molecular Biorheology held during the Sixth International Congress of Biorheology in Vancouver. The papers presented at this Symposium indicate that the use of molecular biological techniques allows the understanding of normal and abnormal rheological properties of cells and organs at the molecular level. It is hoped that these examples will provide an impetus for us to open new frontiers of research in biorheology by taking advantage of the powerful tools developed from recent advances in molecular biology.     

Poiseuille Award lecture. New trends in biorheology

A trend of engineering approach to physiology is to predict physiological events with mathematical accuracy. In order to achieve this objective, it is necessary to know the structure of the organs and the mechanical properties of their components; i.e., the anatomy, histology, and rheology of the system. Then one must perform the analysis rationally, avoiding ad hoc assumptions as far as possible. To illustrate this aspiration, procedure, labor, and rewards, the case of pulmonary circulation is discussed. For cat lung, anatomical and rheological data were collected; biorheological analysis was done, and physiological experiments were compared with theoretical predictions. Satisfactory results were obtained. The case of flow under zone 2 condition, when "waterfall phenomenon" prevails, is especially interesting. We proved theoretically that any partial collapse of an interalveolar septum is unstable. Hence if a collapse is initiated in an interalveolar septum, the whole septum will be collapsed. From this theoretical result, the pressure-flow relationship is predicted and is shown to agree well with the experiment. New trends toward cell biology and molecular approach are evident in this meeting. Some anticipated trends are, however, still slow in coming.     

Neurobiorheology. A new branch of biorheology. Historical background and current ideas.

The application of principles of biorheology, hemorheology and perihemorheology on problems of the nervous system in health and disease was suggested by Alfred L. Copley (1982, 1987). Late in 1988 Copley and Sourander considered neurobiorheology to be an appropriate term for a new branch of biorheology bridging the gap between biorheology and neurobiology. Neurobiorheology can be defined as a research field concerned with deformation behaviour of matter including flow and transportation in context with the structure and function of the nervous system at macroscopic, cellular, subcellular and molecular levels. It may be considered a basic life science with important clinical applications. Its "raison d'être" should be to apply various ways of thinking, calculations and techniques used in biorheology to treat and if possible to solve neurobiological problems. Many regionally different chemical, structural and functional properties characterize the developing and adult nervous system and those parts of the circulatory system ("vessel-blood organ") which penetrate the nervous system at all levels. Considering the close metabolic and functional relations between neurons and surrounding non-neuronal ectodermal cells, neuroglial and Schwann cells deriving from common precursor cells in the wall of the neural tube and neural crest respectively, the term neuroectodermal organ appears suitable. The almost parallel ontogenetic evolution of vessel-blood organ and neuroectodermal organ and their interaction during the entire individual life cycle constitutes a challenging stimulus for integrated research. The main purpose of this review is to give some examples of importance concerning still insufficiently elucidated neurobiological problems suitable for biorheological approaches. Particular attention will be paid to the microenvironment at central and peripheral levels of the neuroectodermal organ.     

Two Independent Contributions to Step Variability during Over-Ground Human Walking

Human walking exhibits small variations in both step length and step width, some of which may be related to active balance control. Lateral balance is thought to require integrative sensorimotor control through adjustment of step width rather than length, contributing to greater variability in step width. Here we propose that step length variations are largely explained by the typical human preference for step length to increase with walking speed, which itself normally exhibits some slow and spontaneous fluctuation. In contrast, step width variations should have little relation to speed if they are produced more for lateral balance. As a test, we examined hundreds of overground walking steps by healthy young adults (N = 14, age < 40 yrs.). We found that slow fluctuations in self-selected walking speed (2.3% coefficient of variation) could explain most of the variance in step length (59%, P < 0.01). The residual variability not explained by speed was small (1.5% coefficient of variation), suggesting that step length is actually quite precise if not for the slow speed fluctuations. Step width varied over faster time scales and was independent of speed fluctuations, with variance 4.3 times greater than that for step length (P < 0.01) after accounting for the speed effect. That difference was further magnified by walking with eyes closed, which appears detrimental to control of lateral balance. Humans appear to modulate fore-aft foot placement in precise accordance with slow fluctuations in walking speed, whereas the variability of lateral foot placement appears more closely related to balance. Step variability is separable in both direction and time scale into balance- and speed-related components. The separation of factors not related to balance may reveal which aspects of walking are most critical for the nervous system to control.