TITLE:
Self-Similarities of Pulmonary Arterial Tree and a New Integrated Model of Pulmonary Circulation with the Name of Fractal Phasic Perfusion (FPP) Model
AUTHORS:
Kyongyob Min
KEYWORDS:
Pulmonary Arterial Hypertension, Weibel’s Number, Fractal Arterial Tree, Asynchronous Contractions of Arterioles, PAP Decay Curve
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.12,
June
26,
2014
ABSTRACT:
Pulmonary
arterial hypertension (PAH) has become an important topic of basic and clinical
research in recent years. Morphologic researches have shown that specific
PAH-lesions are located in the lobular small muscular arteries and correlate
with hemodynamic measurements. However, it still remains to be shown how
pathological changes of the small arteries in the lobule develop to PAH. Based
on both fractal properties of pulmonary arterial tree and asynchronous phasic
contractions of lobular arterial muscles under the evenness of the pulmonary
capillary pressure (PCP) in the lung, the author has constructed an integrated
model of pulmonary circulation which has produced a mathematical relationship
between the mean pulmonary arterial pressure (MPAP) and the cardiac output
(CO). By use of the expression between MPAP and CO, it has been able to explain
the pathogenesis of PAH in terms of statistical changes among regional and
temporal perfusions in the lung. In order to detect clinically the early stage
of PAH, the author has suggested that it is important to establish the
pulmonary functional imaging of regional and temporal perfusions.