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and Andrew \ Moylan, ", StyleBox["Mathematica", FontSlant->"Italic"], " Summer School 2009)" }], "Author", ShowGroupOpener->False, CellChangeTimes->{{3.4543245242265997`*^9, 3.4543245285322*^9}, { 3.4572969327766*^9, 3.4572969545386*^9}, {3.4572987576742*^9, 3.4572987756454*^9}, {3.4572989079178*^9, 3.4572989293677998`*^9}, { 3.4572989978518*^9, 3.4572990368050003`*^9}, {3.462294430062903*^9, 3.4622944348850327`*^9}, {3.462294497289843*^9, 3.4622945245675707`*^9}, { 3.4622961385129023`*^9, 3.462296164964447*^9}, {3.462297982600729*^9, 3.46229798845334*^9}}], Cell[CellGroupData[{ Cell["Abstract", "Section", CellChangeTimes->{{3.4543245846610003`*^9, 3.4543245903705997`*^9}}], Cell["\<\ The aim of this project is to develop a model of the arterial pressure wave \ that contains information user to patients and physicians in understanding \ the state of the arterial system that the wave traverses. \ \>", "Text", CellGroupingRules->"NormalGrouping", CellChangeTimes->{{3.4543246445806*^9, 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Green, J.W. Clark Jun., D.N. Mohr and H.M. Bourland, A Mathematical \ Model of Left-Ventricular Function, Medical and Biological Engineering, March \ 1973, pp. 126-134 [", StyleBox[ButtonBox["web", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.springerlink.com/content/3n1r552t3uq73867/"], None}, ButtonNote->"http://www.springerlink.com/content/3n1r552t3uq73867/"], FontSize->14], "]" }], "Text", CellChangeTimes->{{3.453593165944535*^9, 3.4535932567876186`*^9}, { 3.453687494518969*^9, 3.453687508263343*^9}}], Cell[TextData[{ "M.E. Green and J.W. Clarke, The Innervated Left Ventricle: A Mathematical \ Model of Function, Medical and Biological Engineering, July 1973, pp. 464-468 \ [", StyleBox[ButtonBox["web", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.springerlink.com/content/yw0084837p457782/"], None}, ButtonNote->"http://www.springerlink.com/content/yw0084837p457782/"], FontSize->14], "]" }], "Text", CellChangeTimes->{{3.4535933744013786`*^9, 3.453593431235061*^9}, { 3.453687534880005*^9, 3.4536875425097675`*^9}}], Cell[TextData[{ "J.W. Clark, R.C. Pruett, D.L. Baldridge, R. Srinivasan, H.M. Bourland, J.S. \ Cole, R.W. Brower, Functional Model for the Characterisation of the \ Ventricular Mechanics of the Human Subject, Medical and Biological \ Engineering & Computing, July, 1977, pp. 335-348 [", StyleBox[ButtonBox["web", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.springerlink.com/content/64987r1l7624264k/"], None}, ButtonNote->"http://www.springerlink.com/content/64987r1l7624264k/"], FontSize->14], "]" }], "Text", CellChangeTimes->{{3.4535932645803976`*^9, 3.4535933606960077`*^9}, { 3.453687589986515*^9, 3.4536875990264187`*^9}}], Cell[TextData[{ "G. Avanzolini and A. Capello, Estimation of time-varying systolic \ properties of left ventricular mechanics, Medical and Biological Engineering \ and Computing, Volume 24, Number 3 / May, 1986, pp. 261-266 [", StyleBox[ButtonBox["web", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.springerlink.com/content/j470675133255t39/"], None}, ButtonNote->"http://www.springerlink.com/content/j470675133255t39/"], FontSize->14], "] (Refers to the Green et.al March 1973 article, but may be a simpler \ model.)" }], "Text", CellChangeTimes->{{3.4536841805512004`*^9, 3.4536842864917936`*^9}, 3.45368760333985*^9}] }, Open ]], Cell[CellGroupData[{ Cell["Models", "Section", CellChangeTimes->{{3.4543377221373997`*^9, 3.454337724493*^9}, { 3.454346325035*^9, 3.4543463277806*^9}, 3.462296514748289*^9}], Cell[TextData[{ "A brief ", StyleBox[ButtonBox["video", BaseStyle->"Hyperlink", ButtonData->{ URL["http://www.youtube.com/watch?v=rguztY8aqpk"], None}, ButtonNote->"http://www.youtube.com/watch?v=rguztY8aqpk"], 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We solved the first set of equations until the pressure condition was reached \ and then moved on to the next phase and continued on to the next phase . The pressure conditions were: \[Bullet] Filling phase: Ventricular pressure is greater than atrial pressure. \[Bullet] Isolvolumic contraction and relaxation: The pressure in the atrium \ was less than the pressure in the ventricle which was less than the pressure \ in the Aorta. \[Bullet] Ejection phase: The pressure in the ventricle was greater than \ pressure in the Aorta. After solving the equations we found that relying on pressure condition may \ not be realistic to cause the valves to open and close. To switch phases we had to use realistic conditions to switch to the next \ phase ,We added a timing parameter to make the model switch phases we will \ have to decide on better conditions to switch phases. \ \>", "Text", CellChangeTimes->{{3.4543444836056004`*^9, 3.4543447204292*^9}, { 3.4543447831412*^9, 3.4543450144892*^9}, {3.4543450479356003`*^9, 3.4543451620495996`*^9}, {3.4543452046064*^9, 3.454345342994*^9}, { 3.4543454423504*^9, 3.454345488932*^9}, {3.4543455298352003`*^9, 3.4543456505948*^9}, {3.462297172020288*^9, 3.46229717425852*^9}, { 3.462297207770932*^9, 3.4622972681209927`*^9}, 3.4622973017170067`*^9, { 3.4622977199889927`*^9, 3.462297747020913*^9}}] }, Open ]] }, Open ]] }, ScreenStyleEnvironment->"Presentation", WindowSize->{1399, 856}, WindowMargins->{{Automatic, 0}, {Automatic, 0}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, FrontEndVersion->"7.0 for Mac OS X x86 (32-bit) (November 11, 2008)", StyleDefinitions->Notebook[{ Cell[ 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