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ID: 166444 • Letter: C

Question

Chegg compresses image too much please follow link: https://drive.google.com/file/d/0B11XeNTL0Kb8bXpnSUh2YVNLTHM/view?usp=sharing

Part A, B, C, D please: Metastasis is the process by which cancer cells spread throughout the body and initiate tumors in various organs. This sometimes happens via the bloodstream, where cancer cells become lodged in capillaries of organs and then move across the capillary wall into the organ. Using C to denote the number of cells lodged in a capillary and I for the number that have invaded the organ, we can model this as

Explanation / Answer

The process by which cancer cells spread throughout the body and initiate tumors in various organs is called Metastasis. This takes place via the bloodstream, where cancer cells move across the capillary wall into the organ by lodging in capillaries of organs and then Using C to denote the number of cells lodged in a capillary and I for the number that have invaded the organ, we can model this as

C' = C C      I' = C I + I

All parameters are positive,

is the rate of movement across the capillary wall,

is the rate of dislodgement from the capillary,

is the rate at which cancer cells in the organ die, and

is their growth rate

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