スレッドの終了を待機しているときに tkinter GUI の応答性を維持するにはどうすればよいですか?

<code class="python">from threading import Thread
from queue import Queue
import tkinter as tk

class GuiPart:
    def __init__(self, master, queue):
        self.queue = queue
        # Set up GUI elements here

    def process_incoming(self):
        while not self.queue.empty():
            message = self.queue.get()
            # Process and handle the message here

class AsynchronousTask:
    def __init__(self, queue):
        self.queue = queue

    def run(self):
        # Perform asynchronous task here
        # Put messages into the queue as needed

def start_gui():
    root = tk.Tk()
    queue = Queue()
    gui = GuiPart(root, queue)
    async_task = AsynchronousTask(queue)
    # Start the asynchronous task in a separate thread
    t = Thread(target=async_task.run)
    t.start()
    # Start the GUI mainloop
    root.mainloop()

if __name__ == "__main__":
    start_gui()</code>