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People in the rural areas do not have access to specialist medical care, and when they have complications of stroke, they do not have specialists to look at them and they cannot afford to travel to the cities. The primary health care centers are not equipped with sophisticated equipments. Medicine is about medication, treatment and management. In rural areas treatment is not available either because of accessibility or affordability. Even the few doctors that are available are not in primary health care centres. Well conserved one-dimensional non-linear equations of blood flow describing blood flow in distensible blood vessels were used to develop software. This model could describe discontinuities and disruption in blood flow. The computer software can be used for detecting artherosclerosis, stenosis and differentiation of haemorrhagic and ischaemic strokes for stroke management from simple measurements. The software developed is capable of computing the Siriraj and the Allen clinical scores. These scores have been proposed to help clinicians in making decisions while waiting for results of computerized tomography, hence clinicians can start anti-thrombotic treatment while waiting for the scan results. It is capable of simulating stenosis at different position and depth of flow along the arterial length, and can be used for diagnosis. The medical emphasis is on avoiding possible occurrence, every individual can know his status by inputting the required data such as flow and geometry of their arteries into the developed interface and such measurements can be obtained from simple Doppler measurements.

The definition of stroke used for epidemiological studies is based on clinical presentations of WHO [^{ }computed tomography (CT) Scan and Magnetic Resonance Imaging (MRI), greater attention has been focused on changes in^{ }the occurrence and casefatality of the different pathological^{ }types of stroke. Although the criteria for the definition of^{ }stroke are relatively accurate for determining the presence^{ }or absence of stroke, the differentiation of pathological types^{ }requires brain imaging [5-7]. Experience from population-based^{ }studies has shown that up to a quarter of all stroke events^{ }are treated at home or in community-based long-term care institutions,^{ }making the differentiation of stroke type’s very difficult [8-10]. Nevertheless, the ability to classify stroke into hemorrhagic^{ }and ischemic types in epidemiological research would improve understanding^{ }of the nature of stroke and provide clues to its etiology and^{ }potential interventions in the acute stage [

To achieve this goal in the absence of diagnostic investigations,^{ }clinical scoring protocols have been produced by Allen [^{ }Poungvarin et al. [^{ }postmortem and CT scan results. They are designed to give an^{ }objective score based on clinical variables shown to be significantly^{ }different for hemorrhagic and ischemic strokes. Hawkins et al. [^{ }two clinical scores in a subset of patients from a large population-based^{ }stroke study to examine the feasibility of applying one of the scores to the whole data set to allow differentiation between hemorrhagic and ischemic stroke. These scores^{ }were the most likely to succeed in settings where resources are scarce.

Haemorrhagic and ischaemic stroke cannot be distinguished clinically^{ }with a simple clinical evaluation, and it is virtually impossible for all stroke patients to have a computed tomography scan immediately^{ }after admission. Thus, in small district hospitals as well as in large university centres, the weighted clinical score may offer^{ }some advantages to physicians who are involved in stroke management^{ }and need to distinguish between haemorrhage and ischaemia for the purpose of treatment. The Siriraj score is much easier to determine, and can be used immediately after the stroke. Stroke is the most common neurological disorder causing death or disability among adults in industrialized nations. Ischemic events account for approximately 85% of all strokes, and hemorrhages account for approximately 15% [

Depending on local conditions, ready access to CT facilities^{ }on admission may not be available everywhere. Large population-based studies^{ }revealed that approximately one third of the patients with acute^{ }stroke had no CT before treatment was started, and this applied even^{ }to centers experienced with stroke management [

CT scanning is important to identify stroke pathology and exclude mimics. Its poor availability in our environment makes the search for simple, reliable clinical-score imperative. A study which aims at validating the SSS and determine the discriminant values of its parameters in the black population of African-Nigerians was carried out by Kolapo et al. [

One-dimensional fluid dynamical model predicting blood flow and pressure in the systemic arteries at any position along the blood vessels can be used to study the profile of flow and pressure waves as they propagate along the arteries. Such models of vascular blood flow have previously been developed to model flow through relatively simple geomertries by Pedly [

The demand for efficient and accurate software that can deal with the problems faced by hydraulic engineers led to numerous commercial packages. In the past, some of the more sophisticated software available required the use of powerful computers and long run times, as a result of the level of complexity involved. In addition several other areas can be identified where numerical techniques encounter difficulties when applied to blood flow. Firstly, the pulsating flow can lead to problems in producing a computational grid to represent the structure. The occurrence of mixed regions of flow, for example at blockages, leads to problems for some numerical methods resulting in either poor results or failure to produce a solution. All numerical methods are subject to stability constraints which restrict the values allowed for the time step for a given grid. For explicit schemes, this can result in the need to use small time steps which can be computationally expensive. Implicit schemes overcome this difficulty but at the expense of more complex algorithms. To improve this situation, Babagana et al., [

Predicting blood flow and pressure in a compliant vessel requires three equations. Two equations ensure conservation of volume and momentum, and an equation of state that relates the fluid influence on the vessel wall to its compliant properties.

The Saint-Venant equations of continuity and motion are used to develop the equation of blood flow and pressure, which govern Newtonian fluid flow as follows:

The momentum equation is given by

The continuity equation is given by

The large arteries contain smooth muscle, elastic and collagen. The presence of elastin in the arteries makes them distensible. Arteries exhibit viscoelastic behaviour. However, to keep the model simple, the state equation was derived from the linear theory of elasticity. It is presented as follows;

is the cross-sectional area when.

The method used by Babagana et al. [

Let and

where

following the Roe and Pike approach [

and (4)

the exact Jacobian, , for the homogeneous Blood flow equation is defined as

From this, the approximate Jacobian is deemed to have eigenvalues and eigenvector of the form

and (6)

The construction is then based on determining the approximate quantities (eigenvalues and eigenvectors) which satisfy all of the constraints. In addition, expression for flow, Q and Area A, must be found. A matrix for the Euler equation that would satisfy Property U is constructed.

Having generated the approximated quantities the flux at the cell interface can be defined as

An equation representation of the Lax and Wendroff [

A steady state analytic solution of the blood flow is given in Equation (9)

where the constant G is calculated using the boundary condition of vessel area at the entry point S, where x = O.

The axisymmetric stenosis had the following cosine shape [

where r = r(z) is the radius of the artery at location z in the stenosed region, R is the radius of the non-stenosed part of the artery, is the maximum radius reduction at the throat of the stenosis, and Z_{o} is the length of the stenosis. This resulted in a smooth, eccentric stenosis with a healthy wall and a diseased wall in each case.

Previous modelling works on blood flow in human system suffer drawbacks. Smith et al. [

Most previous computational studies examining the relationship between hemodynamics and atherosclerosis have focused on early-stage disease in normal arterial geometries. The local fluid dynamics is highly related to specifics of geometry and flow wave form and approximations necessary in a study such as this, and for example imaging accuracy and conversion to a numerical grid can greatly affect accuracy in the final computational fluid dynamics results. The authors are aware of these problems hence the decision to look at stenosis in a steady state flow and the inherent problems associated with it. Global flow patterns and also the detailed distribution of hemodynamic parameters were found to be grossly distorted by the changes in vessel geometry brought about by the disease process. Downstream of a stenosis, pressure recovery and the wall curvature associated with the increase in cross-sectional area gives rise to flow separation. All these were considered in the development of software, using the developed equations and visual basic application tools.

The developed software can be installed from a Compact Disc (CD). Once you insert the CD into your computer, it will take you through the installation and will deposit a shortcut icon on the desktop. Once you click on the icon,

hours, blood pressure and atheroma markers like diabetes, angina and intermittent claudication will compute a score to differentiate whether the patient is suffering from ischaemia or haemorrhage. If the computed value is less than one as shown in

hence scanning is necessary, before medication.

In conclusion, software was developed using one-dimensional non-linear equations of blood flow which was solved using the Riemann based methods constructed within the finite volume framework. Interfaces were developed to read in some measured parameters and information form a subject and the program analyses the information and gives a feed back on the situation of the subject to the medical personal, which in turn takes decision on treatment. The software package can assist clinicians in early screening of patients at risk and physician can rely on the result to start thrombolytic and/or anticoagulation therapy.