Summary
A basic biomathematical analysis of quantitative clotting test data becomes highly
significant in the light of a complex logic which indicates a possible accord with
certain postulated biophysical principles. Rectilinear plots are obtainable with one
or other of two methods of analyzing the clotting-time data for an experimental system
in which prothrombin is converted into thrombin by thrombokinase in the presence of
specified cofactors.
Determinants of enzymic activity fit the postulate of Michaelis-Menten kinetics and
the Lineweaver-Burk double-reciprocal rectilinear plot. This holds when the ∼ substrate variable is (a) thrombokinase (as precursor of the true prothrombin-convertor enzyme),
(b) specific cation (Ca++, Sr++, or Ba++), and (c) factor V (AcG). The validated assays
are particularly meaningful in the case of factor V, and suggest a new system of unit
age (AcGact)- Tentative Km values are given for these “substrate” functions.
Determinants of effective thrombin (activated prothrombin) quasi-activity are studied
by rectilinear log-log plots of endpoint clotting-times against the factor variable,
when this is (a) prothrombin, (b) prothromboplastic phospholipid (cephalin), but (c)
factor V (AcG) only to a limited extent. The discussion explains how these findings
accord with certain colloidal principles that modify a basic enzyme formula based on “the inverse law.”
Evidence of complexing of both substrate and enzyme with certain factors is provided,
especially by exploring effects of successive suboptimal additions. The following
mechanisms could explain the facts: (a) prothrombin + phospholipid form a colloidal
(micellar) substrate complex ; (b) the true activating enzyme is thrombokinase after
specific activation by cation (Ca++, normally) ; (c) factor V plays a dual role (in
(a) and (b)), thus acting after the manner of an amboceptor. These key reactions should
be added to the current “cascade” concept of blood clotting.