Stochastic hybrid systems for studying biochemical processes

A Singh, JP Hespanha - Philosophical Transactions of …, 2010 - royalsocietypublishing.org
Many protein and mRNA species occur at low molecular counts within cells, and hence are
subject to large stochastic fluctuations in copy numbers over time. Development of …

Mathematical modelling of prostate cancer growth and its application to hormone therapy

G Tanaka, Y Hirata, SL Goldenberg… - … of the Royal …, 2010 - royalsocietypublishing.org
Hormone therapy in the form of androgen deprivation is a major treatment for advanced
prostate cancer. However, if such therapy is overly prolonged, tumour cells may become …

[HTML][HTML] Detecting early-warning signals for sudden deterioration of complex diseases by dynamical network biomarkers

L Chen, R Liu, ZP Liu, M Li, K Aihara - Scientific reports, 2012 - nature.com
Considerable evidence suggests that during the progression of complex diseases, the
deteriorations are not necessarily smooth but are abrupt and may cause a critical transition …

[HTML][HTML] A model of postural control in quiet standing: robust compensation of delay-induced instability using intermittent activation of feedback control

Y Asai, Y Tasaka, K Nomura, T Nomura, M Casadio… - PloS one, 2009 - journals.plos.org
The main purpose of this study is to compare two different feedback controllers for the
stabilization of quiet standing in humans, taking into account that the intrinsic ankle stiffness …

Theory of hybrid dynamical systems and its applications to biological and medical systems

K Aihara, H Suzuki - … Transactions of the Royal Society A …, 2010 - royalsocietypublishing.org
In this introductory article, we survey the contents of this Theme Issue. This Theme Issue
deals with a fertile region of hybrid dynamical systems that are characterized by the …

Development of a mathematical model that predicts the outcome of hormone therapy for prostate cancer

Y Hirata, N Bruchovsky, K Aihara - Journal of theoretical biology, 2010 - Elsevier
We propose a mathematical model that quantitatively reproduces the dynamics of the serum
prostate-specific antigen (PSA) level under intermittent androgen suppression (IAS) for …

[HTML][HTML] Is Cancer Reversible? Rethinking Carcinogenesis Models—A New Epistemological Tool

A Pensotti, M Bertolaso, M Bizzarri - Biomolecules, 2023 - mdpi.com
A growing number of studies shows that it is possible to induce a phenotypic transformation
of cancer cells from malignant to benign. This process is currently known as “tumor …

[HTML][HTML] Personalization of medical treatments in oncology: time for rethinking the disease concept to improve individual outcomes

M Bizzarri, V Fedeli, N Monti, A Cucina, M Jalouli… - EPMA Journal, 2021 - Springer
The agenda of pharmacology discovery in the field of personalized oncology was dictated
by the search of molecular targets assumed to deterministically drive tumor development. In …

[HTML][HTML] Deciphering deterioration mechanisms of complex diseases based on the construction of dynamic networks and systems analysis

Y Li, S Jin, L Lei, Z Pan, X Zou - Scientific reports, 2015 - nature.com
The early diagnosis and investigation of the pathogenic mechanisms of complex diseases
are the most challenging problems in the fields of biology and medicine. Network-based …

Dynamical network biomarkers for identifying critical transitions and their driving networks of biologic processes

R Liu, K Aihara, L Chen - Quantitative Biology, 2013 - Springer
Non-smooth or even abrupt state changes exist during many biological processes, eg, cell
differentiation processes, proliferation processes, or even disease deterioration processes …