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Table 1 Values of |J0(i3/2αR)|, |P S (i3/2αR)|/|J0(i3/2αR)|, |P Q (i3/2αR)|/|J0(i3/2αR)| and θ d = -θ PQ + θJ 0(in degrees).

From: Pulsatile blood flow, shear force, energy dissipation and Murray's Law

αR

|J0(i3/2αR)|

|P S (i3/2αR)|

| P S ( i 3 / 2 α R ) | | J 0 ( i 3 / 2 α R ) | MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaamaaemGabaGaemiuaa1aaSbaaSqaaiabdofatbqabaGcdaqadiqaaiabdMgaPnaaCaaaleqabaGaeG4mamJaei4la8IaeGOmaidaaGGacOGae8xSdeMaemOuaifacaGLOaGaayzkaaaacaGLhWUaayjcSdaabaWaaqWaceaacqWGkbGsdaWgaaWcbaGaeGimaadabeaakmaabmGabaGaemyAaK2aaWbaaSqabeaacqaIZaWmcqGGVaWlcqaIYaGmaaGccqWFXoqycqWGsbGuaiaawIcacaGLPaaaaiaawEa7caGLiWoaaaaaaa@493F@

| P Q ( i 3 / 2 α R ) | | J 0 ( i 3 / 2 α R ) | MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaWcaaqaamaaemGabaGaemiuaa1aaSbaaSqaaiabdgfarbqabaGcdaqadiqaaiabdMgaPnaaCaaaleqabaGaeG4mamJaei4la8IaeGOmaidaaGGacOGae8xSdeMaemOuaifacaGLOaGaayzkaaaacaGLhWUaayjcSdaabaWaaqWaceaacqWGkbGsdaWgaaWcbaGaeGimaadabeaakmaabmGabaGaemyAaK2aaWbaaSqabeaacqaIZaWmcqGGVaWlcqaIYaGmaaGccqWFXoqycqWGsbGuaiaawIcacaGLPaaaaiaawEa7caGLiWoaaaaaaa@493B@

-θ PQ + θJ 0

0.00

1.000000

1.000000

1.000000

1.000000

0.000000

0.25

1.000061

1.00001

0.999949

0.999942

0.596807

0.50

1.000976

1.000163

0.999187

0.999079

2.385789

0.75

1.004934

1.000824

0.99591

0.995364

5.354071

1.00

1.015525

1.002602

0.987275

0.985567

9.452664

1.25

1.037563

1.006346

0.969913

0.965839

14.56122

1.50

1.076683

1.013132

0.940975

0.932856

20.45769

1.75

1.138718

1.02425

0.899476

0.885319

26.81781

2.00

1.229006

1.041167

0.847162

0.824936

33.26157

2.25

1.351958

1.065491

0.78811

0.756052

39.43308

2.50

1.511077

1.098913

0.727238

0.684073

45.0714

2.75

1.709413

1.143157

0.668742

0.613766

50.03823

3.00

1.950193

1.199938

0.615292

0.548354

54.30262

3.25

2.237433

1.270948

0.568039

0.48947

57.90541

3.50

2.576414

1.357868

0.527038

0.437549

60.9244

3.75

2.97404

1.462421

0.491729

0.392306

63.44954

4.00

3.439118

1.586448

0.461295

0.353099

65.56827

4.25

3.982607

1.732001

0.434891

0.319165

67.3584

4.50

4.617878

1.901445

0.411757

0.289747

68.88554

4.75

5.361012

2.097556

0.391261

0.264156

70.20298

5.00

6.231163

2.323623

0.372904

0.241795

71.35285