app: Update parameters

Also add in an explanation of the variables being input into the model

Author: Michael Becker

app.py

@@ -2,7 +2,8 @@
 import streamlit as st
 import numpy as np
 import matplotlib
-matplotlib.use('Agg')
+
+matplotlib.use("Agg")
 import matplotlib.pyplot as plt
 
 hide_menu_style = """
@@ -18,7 +19,7 @@
 bucks = 628341
 philly = 1581000
 S_default = delaware + chester + montgomery + bucks + philly
-known_infections = 31
+known_infections = 53
 
 # Widgets
 initial_infections = st.sidebar.number_input(
@@ -62,6 +63,21 @@
     """*This tool was developed by the [Predictive Healthcare team](http://predictivehealthcare.pennmedicine.org/) at Penn Medicine. For questions and comments please see our [contact page](http://predictivehealthcare.pennmedicine.org/contact/).*"""
 )
 
+st.markdown(
+    """The estimated number of currently infected individuals is **{total_infections:.0f}**. The **{initial_infections}** 
+confirmed cases in the region imply a **{detection_prob:.0%}** rate of detection. This is based on current inputs for 
+Hospitalizations (**{current_hosp}**), Hospitalization rate (**{hosp_rate:.0%}**), Region size (**{S}**), 
+and Hospital market share (**{Penn_market_share:.0%}**).""".format(
+        total_infections=total_infections,
+        current_hosp=current_hosp,
+        hosp_rate=hosp_rate,
+        S=S,
+        Penn_market_share=Penn_market_share,
+        initial_infections=initial_infections,
+        detection_prob=detection_prob,
+    )
+)
+
 if st.checkbox("Show more info about this tool"):
     st.subheader(
         "[Discrete-time SIR modeling](https://mathworld.wolfram.com/SIRModel.html) of infections/recovery"
@@ -104,15 +120,12 @@
   - Chester = {chester}
   - Montgomery = {montgomery}
   - Bucks = {bucks}
-  - Philly = {philly}
-- The initial number of infected will be the total number of confirmed cases in the area ({initial_infections}), divided by some detection probability to account for under testing {detection_prob:.2f}.""".format(
+  - Philly = {philly}""".format(
             delaware=delaware,
             chester=chester,
             montgomery=montgomery,
             bucks=bucks,
             philly=philly,
-            initial_infections=initial_infections,
-            detection_prob=detection_prob,
         )
     )