**Lectures on Mathematics in the Life Sciences**

Volume: 16;
1986;
234 pp;
Softcover

MSC: Primary 92;
**Print ISBN: 978-0-8218-1166-5
Product Code: LLSCI/16**

List Price: $57.00

Individual Member Price: $45.60

# Some Mathematical Questions in Biology—Muscle Physiology

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*Robert M. Miura*

Currently the outstanding problem in muscle contraction is determining
the mechanism for the sliding of actin and myosin filaments. This volume
contains papers based on lectures presented at the Seventeenth Annual Symposium
on Some Mathematical Questions in Biology which was held in conjunction with
the Annual Meeting of the AAAS. The six papers deal with overlapping areas of
muscle physiology: cross-bridge dynamics (the mechanism currently receiving
most attention), as well as distinctions between striated and cardiac muscles
and the control of muscular contractions by action potentials. Focusing on
both experimental techniques and theoretical underpinnings, the authors present
the recent technological advances that provide an improved database for
obtaining a better understanding of the biochemical mechanics and developing
better mathematical models.

In the first article Dr. Hugh E. Huxley reviews current studies of muscle
systems which use X-ray diffraction and electron-microscopic analysis. Dr. Even
Eisenberg describes how ATP hydrolysis drives muscle contraction via the action
of myosin cross-bridges.

The next two papers contain mathematical studies of muscle contraction. Dr.
Michael Propp uses a thermodynamic formalism to predict the physiological
properties of muscle. Drs. H. Michael Lacker and Charles S. Peskin develop a
mathematical method for working backwards to determine uniquely microscopic
properties of the cross-bridges.

Drs. John W. Krueger and Katsuhiko Tsujioka use light diffraction
observations to develop a quantitative understanding of cardiac function from
properties of the myofibril and elements of the cross-bridge cycle. In the
concluding paper, Dr. Robert S. Eisenberg reviews the current work on the
electrical control mechanisms in excitation-contraction coupling which lead to
muscle contraction.