I'm not sure specifically what the 'cell book story' is about as the name is rather ambiguous. It could potentially be a story related to cells in a biological sense, like the story of cell discovery or the functions of cells. Or it could be a story where 'cell' has some other meaning, like a small room or a unit, and it involves a book in some way.
One major difference is that plant cells have cell walls while animal cells don't. This makes plant cells more rigid. Also, plant cells have chloroplasts for photosynthesis which animal cells lack. Instead, animal cells rely on consuming other organisms for energy.
I'm not sure specifically what a 'catherine cell' is in this context as the term is rather unclear. It could be a very specific or made - up concept within that particular story.
One of the main features is the endoplasmic reticulum which has two types, rough and smooth. The rough endoplasmic reticulum with ribosomes on it is involved in protein synthesis. The smooth one is involved in lipid synthesis. Another feature is the Golgi apparatus which packages and distributes substances. The lysosomes for waste management are also a main feature in Cell City.
A plant cell is like a little factory within a plant. It has a rigid cell wall that gives the plant structure, like the bricks of a building. The chloroplasts in plant cells are amazing as they perform photosynthesis, converting sunlight into energy. Animal cells, on the other hand, don't have cell walls but have a more flexible cell membrane. They are also more diverse in shape. For example, nerve cells are long and spindly to transmit signals over long distances. And red blood cells are disc - shaped to carry oxygen efficiently.
In a 'cell as a city story', both a cell and a real city have boundaries. A cell has a cell membrane that controls what enters and leaves, much like a city has city limits and border checkpoints. Also, communication is important in both. In a city, there are communication networks like phones and the internet. In a cell, there are chemical signals that allow different parts of the cell to communicate with each other.
A cell can be compared to a school as follows. The cytoplasm is like the general school environment. All the other organelles (like students and teachers) exist within it. The ribosomes are the study desks where the important work of protein synthesis (like students studying) occurs. The endoplasmic reticulum is like the school's internal communication system that transports important things around, similar to how it transports proteins in a cell.
I'm not entirely sure which specific 'Cell 13' story you're referring to. There could be many stories with such a title. It might be a mystery about something that happened in cell 13, perhaps a prison cell or a cell in some sort of institution. Without more context, it's difficult to say more.