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  • Level: GCSE
  • Subject: Maths
  • Word count: 2260

Medicine and mathematics

Extracts from this document...

Introduction

Medicine and Mathematic

Investigation By - Akash Singh

Introduction

As you may have realized from the title, this investigation in sincerely based on the use of medicine and mathematics, we will be investigating how penicillin reacts in the body, and how its concentration decreases in the bloodstream. Penicillin was named the miracle drug, as its properties and against fighting bacterial infections were very effective. Penicillin was discovered in 1929 through Sir Alexander Fleming.

Medicine and Mathematics

Part A

Well if you look at the table give above you will see that the amount of insulin administrated is 10,00 micro units. So “half of the original dosage (10,00 Micro Units) , will be (5,00 Micro Units).

Looking at the table, it takes 15 minutes after the dosage of insulin is at half of the original dosage so at 5,00 Micro units.

image00.png

Question 2.

In the equation y=10(0.95)x, 10 represent the units of insulin that started off in the bloodstream, and when the units of insulin reduce each minute, that value is multiplied with 0.95 to get the units of insulin after every minute. So basically (0.95) represent the fraction of the original dose.  The x is the amount of time /m at which the certain amount of insulin is active in the blood stream.

Question 3

...read more.

Middle

40

0.08878

41

0.05327

42

0.03196

43

0.01918

44

0.01151

45

0.00690

46

0.00414

47

0.00249

48

0.00149

time

dose 1

dose 2

dose 3

does 4

dose 5

0

300.0000

6

13.9968

313.9968

12

14.6498

314.6498

18

314.6498

14.6803

314.6803

24

314.6803

14.6817

314.6817

30

314.6817

14.68179

36

0.68499

42

0.03196

48

0.00149

Table 2: Amount of Pencillin in bloodstream after 48 hours with administration dosage of 150mg

Hour

Amount of Insluin in the bloodstream

0

150.00000

1

90.00000

2

54.00000

3

32.40000

4

19.44000

5

11.66400

6

156.99840

7

94.19904

8

56.51942

9

33.91165

10

20.34699

11

12.20820

12

157.32492

13

94.39495

14

56.63697

15

33.98218

16

20.38931

17

12.23359

18

157.34015

19

94.40409

20

56.64245

21

33.98547

22

20.39128

23

12.23477

24

157.34086

25

94.40452

26

56.64271

27

33.98563

28

20.39138

29

12.23483

30

7.34090

31

4.40454

32

2.64272

33

1.58563

34

0.95138

35

0.57083

36

0.34250

37

0.20550

38

0.12330

39

0.07398

40

0.04439

41

0.02663

42

0.01598

43

0.00959

44

0.00575

45

0.00345

46

0.00207

47

0.00124

48

0.00075

Q9. <Table for amount of penicillin remaining after 48 hours, with 8

...read more.

Conclusion

ss="c0">64.8

65.88839117

12

0.653034701

38.88

39.5330347

13

0.39182082

23.328

23.71982082

14

0.235092492

13.9968

14.23189249

15

0.141055495

8.39808

8.539135495

16

0.084633297

5.038848

300

305.1234813

17

0.050779978

3.023309

180

183.0740888

18

0.030467987

1.813985

108

109.8444533

19

0.018280792

1.088391

64.8

65.90667196

20

0.010968475

0.653035

38.88

39.54400318

21

0.006581085

0.391821

23.328

23.72640191

22

0.003948651

0.235092

13.9968

14.23584114

23

0.002369191

0.141055

8.39808

8.541504686

24

0.001421514

0.084633

5.038848

300

305.1249028

25

0.000852909

0.05078

3.023309

180

183.0749417

26

0.000511745

0.030468

1.813985

108

109.844965

27

0.000307047

0.018281

1.088391

64.8

65.90697901

28

0.000184228

0.010968

0.653035

38.88

39.5441874

29

0.000110537

0.006581

0.391821

23.328

23.72651244

30

6.63222E-05

0.003949

0.235092

13.9968

300

314.2359075

31

3.97933E-05

0.002369

0.141055

8.39808

180

188.5415445

32

2.3876E-05

0.001422

0.084633

5.038848

108

113.1249267

33

1.43256E-05

0.000853

0.05078

3.023309

64.8

67.87495601

34

8.59535E-06

0.000512

0.030468

1.813985

38.88

40.72497361

35

5.15721E-06

0.000307

0.018281

1.088391

23.328

24.43498416

36

3.09433E-06

0.000184

0.010968

0.653035

13.9968

14.6609905

37

1.8566E-06

0.000111

0.006581

0.391821

8.39808

8.796594299

38

1.11396E-06

6.63E-05

0.003949

0.235092

5.038848

5.27795658

39

6.68375E-07

3.98E-05

0.002369

0.141055

3.023309

3.166773948

40

4.01025E-07

2.39E-05

0.001422

0.084633

1.813985

1.900064369

41

2.40615E-07

1.43E-05

0.000853

0.05078

1.088391

1.140038621

42

1.44369E-07

8.6E-06

0.000512

0.030468

0.653035

0.684023173

43

8.66214E-08

5.16E-06

0.000307

0.018281

0.391821

0.410413904

44

5.19728E-08

3.09E-06

0.000184

0.010968

0.235092

0.246248342

45

3.11837E-08

1.86E-06

0.000111

0.006581

0.141055

0.147749005

46

1.87102E-08

1.11E-06

6.63E-05

0.003949

0.084633

0.088649403

47

1.12261E-08

6.68E-07

3.98E-05

0.002369

0.05078

0.053189642

48

6.73568E-09

4.01E-07

2.39E-05

0.001422

0.030468

0.031913785

...read more.

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