Many factors affect the flow of blood in the arteries and other small vessels among which are the diameters of the various vessels, the viscosity of the blood and various constituents of the blood. People with the HbS type of red blood cell have their cell sickle. The present study used a one dimension model of flow in the arteries to investigate the effect of increase viscosity on small pressure disturbance and on the arterial compliance and the sequence of shock.
Mathematics is a subject from which other sciences draw inspiration and substance. A sound background in Mathematics is a necessary condition for the study of sciences and science related subjects. Cumulative evidence point to the fact that the generality of pupils and teachers find mathematics uninteresting and pupils’ underachievement in mathematics is assuming unacceptable dimension. The problems of underachievement in mathematics and elusion of meaningful development in the field of Science and Technology are discussed while emphases are laid on the needed involvement of the Mathemat
Mathematics is a subject from which other sciences draw inspiration and substance. A sound background in Mathematics is a necessary condition for the study of sciences and science related subjects. Cumulative evidence point to the fact that the generality of pupils and teachers find mathematics uninteresting and pupils’ underachievement in mathematics is assuming unacceptable dimension.
The National Health Insurance Scheme recently introduced into Nigeria Health Service (NHIS) has been well commended by everyone. For a successful actualization of the programme’s designed purpose, the planners need to have an idea of its cost to the nation. Mathematical models have been used over time to mimic life’s realities and to find answers to technical problems. In this paper we propose four different mathematical models that will offer insight into how much this NHIS will cost the nation and enable the government plan properly for its successful implementation. The first model
The paper presents a derivation of the governing equations for microseisms in the far field. These equations are for small amplitudes oscillating earth’s tremors associated with bottom pressure effects of the generating swell in shallow water. In this consideration, it is verified that far field microseisms oscillation are damped and the limiting values of the process is suggested. Also evaluated is the depth decay of the micro seismic signals.
It is shown that the 13 one parameter generators of the Lie group SL(6,R) are the maximal group of symmetries for nonrelativistic quantum systems. The group action on the set of states S H (H complex Hilbert space) preserves transition probabilities as well as the dynamics of the system. By considering a prolongation of the group action on H , we have a generalized rotation of state vectors in which norms are preserved. Thus one obtains new symmetries as well as new representations which aid in the simplification of the system. New solutions can thus be obtained, which in most cas
Modeling is an important tool of mathematics that has been in used for over a century. However there have been underlying assumption that the more complicated a model the better the result. We compare the one dimensional arterial model which is easily solvable analytically with a two dimensional model of the arterial tree. We find out that in the steady state of flow the two models lead to the same result.