Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Clonal Diversity at Cancer Recurrence   Despite initial success, many cancer therapies eventually fail due to
mutation driven drug resistance. In this work we are interested in the status
of the tumor at the time of cancer recurrence. In particular we investigate
clonal diversity at the time of cancer recurrence, an important factor to
consider when treating recurrent cancers. To model cancer dynamics involving
drug-sensitive and drug-resistant cells, we employ a two-type branching
process. During treatment, drug-resistant cells develop from drug-sensitive
cells. We investigate the clonal diversity of drug-resistant cells at the time
of cancer recurrence, defined as the first time the population size of
drug-resistant cells exceeds a specified proportion of the initial population
of drug-sensitive cells. We examine two clonal diversity indices: the number of
clones and the Simpson's Index. We obtain the expectation of these two indices
with and without conditioning on early recurrence. We demonstrate that the
recurrence time is a useful indicator of clonal diversity, providing valuable
insight into treating recurrent cancers. Finally, we use our recurrence
measures to develop statistics that estimate model parameters based on tumor
diversity data at recurrence.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
1
The categories of this paper are: cs
19
The categories of this paper are: eess
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org