Reinforcement learning in healthcare: A survey

C Yu, J Liu, S Nemati, G Yin - ACM Computing Surveys (CSUR), 2021 - dl.acm.org
As a subfield of machine learning, reinforcement learning (RL) aims at optimizing decision
making by using interaction samples of an agent with its environment and the potentially …

A review of mathematical models for tumor dynamics and treatment resistance evolution of solid tumors

A Yin, DJAR Moes, JGC van Hasselt… - CPT …, 2019 - Wiley Online Library
Increasing knowledge of intertumor heterogeneity, intratumor heterogeneity, and cancer
evolution has improved the understanding of anticancer treatment resistance. A better …

New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives

P Veeresha, DG Prakasha… - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
In this paper, we apply the q-homotopy analysis transform method to the mathematical
model of the cancer chemotherapy effect in the sense of Caputo fractional. We find some …

Interactions between the immune system and cancer: a brief review of non-spatial mathematical models

R Eftimie, JL Bramson, DJD Earn - Bulletin of mathematical biology, 2011 - Springer
We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …

A validated mathematical model of cell-mediated immune response to tumor growth

LG de Pillis, AE Radunskaya, CL Wiseman - Cancer research, 2005 - AACR
Mathematical models of tumor-immune interactions provide an analytic framework in which
to address specific questions about tumor-immune dynamics. We present a new …

Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations

LG de Pillis, W Gu, AE Radunskaya - Journal of theoretical biology, 2006 - Elsevier
We develop and analyze a mathematical model, in the form of a system of ordinary
differential equations (ODEs), governing cancer growth on a cell population level with …

Systematic and effective design of nonlinear feedback controllers via the state-dependent Riccati equation (SDRE) method

T Çimen - Annual Reviews in control, 2010 - Elsevier
Since the 1990s, state-dependent Riccati equation (SDRE) strategies have emerged as
general design methods that provide a systematic and effective means of designing …

Dynamic interplay between tumour, stroma and immune system can drive or prevent tumour progression

RJ Seager, C Hajal, F Spill, RD Kamm… - Convergent science …, 2017 - iopscience.iop.org
In the tumour microenvironment, cancer cells directly interact with both the immune system
and the stroma. It is firmly established that the immune system, historically believed to be a …

[图书][B] Dynamics of cancer: mathematical foundations of oncology

D Wodarz, N Komarova - 2014 - books.google.com
The book aims to provide an introduction to mathematical models that describe the
dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for …

A cellular automata model of tumor–immune system interactions

DG Mallet, LG De Pillis - Journal of theoretical biology, 2006 - Elsevier
We present a hybrid cellular automata–partial differential equation model of moderate
complexity to describe the interactions between a growing tumor next to a nutrient source …