Nonlinear modelling of cancer: bridging the gap between cells and tumours

JS Lowengrub, HB Frieboes, F Jin, YL Chuang, X Li… - …, 2009 - iopscience.iop.org
Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Symmetric vs. asymmetric stem cell divisions: an adaptation against cancer?

L Shahriyari, NL Komarova - PloS one, 2013 - journals.plos.org
Traditionally, it has been held that a central characteristic of stem cells is their ability to
divide asymmetrically. Recent advances in inducible genetic labeling provided ample …

A multicompartment mathematical model of cancer stem cell-driven tumor growth dynamics

SL Weekes, B Barker, S Bober, K Cisneros… - Bulletin of mathematical …, 2014 - Springer
Tumors are appreciated to be an intrinsically heterogeneous population of cells with varying
proliferation capacities and tumorigenic potentials. As a central tenet of the so-called cancer …

The role of symmetric stem cell divisions in tissue homeostasis

J Yang, MV Plikus, NL Komarova - PLoS computational biology, 2015 - journals.plos.org
Successful maintenance of cellular lineages critically depends on the fate decision
dynamics of stem cells (SCs) upon division. There are three possible strategies with respect …

Cancer stem cells: a minor cancer subpopulation that redefines global cancer features

H Enderling, L Hlatky, P Hahnfeldt - Frontiers in oncology, 2013 - frontiersin.org
In recent years cancer stem cells (CSCs) have been hypothesized to comprise only a minor
subpopulation in solid tumors that drives tumor initiation, progression, and metastasis; the so …

Stochastic modeling of stem-cell dynamics with control

Z Sun, NL Komarova - Mathematical biosciences, 2012 - Elsevier
Tissue development and homeostasis are thought to be regulated endogenously by control
loops that ensure that the numbers of stem cells and daughter cells are maintained at …

Mathematical Modeling of Tumor and Cancer Stem Cells Treated with CAR-T Therapy and Inhibition of TGF-

ER Swanson, E Köse, EA Zollinger… - Bulletin of mathematical …, 2022 - Springer
The stem cell hypothesis suggests that there is a small group of malignant cells, the cancer
stem cells, that initiate the development of tumors, encourage its growth, and may even be …

Stochastic control of proliferation and differentiation in stem cell dynamics

Z Sun, NL Komarova - Journal of mathematical biology, 2015 - Springer
In self-renewing tissues, cell lineages consisting of stem cell and classes of daughter cells
are the basic units which are responsible for the correct functioning of the organ. Cell …

Stability of control networks in autonomous homeostatic regulation of stem cell lineages

NL Komarova, P Van Den Driessche - Bulletin of mathematical biology, 2018 - Springer
Abstract Design principles of biological networks have been studied extensively in the
context of protein–protein interaction networks, metabolic networks, and regulatory …

Analysis of stochastic stem cell models with control

J Yang, Z Sun, NL Komarova - Mathematical biosciences, 2015 - Elsevier
Understanding the dynamics of stem cell lineages is of central importance both for healthy
and cancerous tissues. We study stochastic population dynamics of stem cells and …