How to process streaming data each time it is received

When using APIs that provide streaming data, we want to process every response from the server in real time as close as possible.

I would appreciate it if you could let me know if there is a more appropriate approach in the following situations:

The server responds every event and sends you a heartbeat message every 15 seconds to maintain the connection.

Now I use requests to write: Python version 3.4

#stream=True
res=requests.get(url,headers=HEADERS,params=payload,stream=True)

# process one line at a time in itter_lines()
for line in res.iter_lines (chunk_size=64):
    line = line.decode ('utf-8')
    do something...

When iter_lines() was initially used without specifying chunk_size, the default was chunk_size=512, and 5,6 heartbeat messages were processed together.

By reducing the chunk_size, I think I was able to reduce the processing interval to some extent, but I have not reached the point of processing each response.

Also, I am concerned that certain types of responses will be blocked in the meantime because I/O wait occurs.

I think it can be solved by using a library or framework that handles asynchronous processing, so I read documents such as asyncio, aiohttp, Twisted, and I don't know if I should use asyncio.

I think this part of asyncio is related, but I don't understand it well.
http://docs.python.jp/3/library/asyncio-stream.html

• Is it appropriate to think that asynchronous processing should be resolved with asyncio?
• How should I write it?

Could you tell me as much as possible about the above two points?