  Ability of smooth muscles to contract in response to distension plays a
crucial role in motor function of intestine. Qualitative analysis of dynamical
models using myogenic active property of smooth muscles has shown well
agreement with physiologic data. Considered as a self-regulatory unit, function
of gastrointestinal (GI) segment is assumed to be regulated by integration of
basis patterns providing accumulation and propagation of intestinal content. By
implementing external, depending on neural system, variable to the previous
model, and considering two attaches to one another reservoirs as a physical
analogue of the segmental partition of intestine, a system of six ODE
equations, three for each reservoir, describes coordinated wall motions and
propagation of the content from one reservoir to another. It was shown that
besides negative feedback (NFB), other functional patterns, namely positive
feedback (PFB) and reciprocal links (RL) are involved in regulations of
filling-emptying cycle. Being integrated in a whole functional system these
three patterns expressed in a matrix form represent basis elements of imaginary
part of coquaternion which with identity basis component is an algebraically
closed structure under addition and multiplication of its elements. A
coquaternion ring may be considered as a model of inner self-regulatory
functional structure providing coordinated wall motions of GI tract portions.
