Case study 1
A 74-year-old male patient came to the hospital for the evaluation of
general weakness and headache that started 10 days ago. He was
found to have hepatocellular carcinoma. The tumor size was
growing at a rate of
0.3 𝒄𝒎𝟑 /𝒅𝒂𝒚.
The oncologist discovered that the initial volume of the spherical
4
tumor was 2 cm in radius (given that volume of a sphere is 𝜋𝑟 3 )
3
1- Calculate the tumor size using the mathematical model after one
month.
2- Referring to the given link: Liver Cancer Stages
https://www.roswellpark.org/cancer/liver/diagnosis/staging
identify in which cancer stage is this patient.
Case study 2
A 55-year-old female patient was diagnosed with hepatocellular
carcinoma 6 months ago. She was in cancer stage 3 (tumor size
4
3.5 cm in radius) (given that volume of a sphere is 𝜋𝑟 3 )
3
The oncologist discovered that the initial volume of the spherical
tumor was 38.8 𝒄𝒎𝟑
1- Find the rate of tumor growth using the mathematical model in
𝒄𝒎𝟑 /𝒎𝒐𝒏𝒕𝒉
2- Find the tumor volume after 1 year