ster1033 3. Zebrafish embryos are a classic developmental model system for which there is a significant body

ster1033

  
 

Transcribed Image Text:

3. Zebrafish embryos are a classic developmental model system for which there is a significant body of literature. It's known that for the first few hours after fertilization, the cells in the zebrafish embryo undergo synchronized cell division; that is, they all divide at the exact same moment with no significant deviation (see figure below). Zygote Period Cleavage Period -0.75 -2.25 hpf -0-0.75 hpf AP BD Yolk VP 1-cell 2-cell 4-cell 8-cell 16-cell 32-cell Let's s suppose a model of the number of cells in a zebrafish embryo, Z, with respect to the number of synchronized cell divisions that have occurred, D. a. (2 pts) Is this best modeled as a discrete or continuous process? discrete continuous b. (4 pts) Write the change equation for Z(D), which should represent the change in the number of cells as a function of cell division number. c. (4 pts) Write the general expression for Z(D). 64-cell 10 5 3. Zebrafish embryos are a classic developmental model system for which there is a significant body of literature. It's known that for the first few hours after fertilization, the cells in the zebrafish embryo undergo synchronized cell division; that is, they all divide at the exact same moment with no significant deviation (see figure below). Zygote Period Cleavage Period -0.75 -2.25 hpf -0-0.75 hpf AP BD Yolk VP 1-cell 2-cell 4-cell 8-cell 16-cell 32-cell Let's s suppose a model of the number of cells in a zebrafish embryo, Z, with respect to the number of synchronized cell divisions that have occurred, D. a. (2 pts) Is this best modeled as a discrete or continuous process? discrete continuous b. (4 pts) Write the change equation for Z(D), which should represent the change in the number of cells as a function of cell division number. c. (4 pts) Write the general expression for Z(D). 64-cell 10 5