Improving cancer treatments via dynamical biophysical models
Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …
Reinforcement learning strategies in cancer chemotherapy treatments: A review
CY Yang, C Shiranthika, CY Wang, KW Chen… - Computer Methods and …, 2023 - Elsevier
Background and objective Cancer is one of the major causes of death worldwide and
chemotherapies are the most significant anti-cancer therapy, in spite of the emerging …
chemotherapies are the most significant anti-cancer therapy, in spite of the emerging …
Natural health products that inhibit angiogenesis: a potential source for investigational new agents to treat cancer—Part 1
SM Sagar, D Yance, RK Wong - Current oncology, 2006 - pmc.ncbi.nlm.nih.gov
An integrative approach for managing a patient with cancer should target the multiple
biochemical and physiologic pathways that support tumour development and minimize …
biochemical and physiologic pathways that support tumour development and minimize …
Irradiation-induced angiogenesis through the up-regulation of the nitric oxide pathway: implications for tumor radiotherapy
The combination of radiotherapy and antiangiogenic strategies has been shown to increase
the tumor response in various experimental models. The rationale for this cotherapy was …
the tumor response in various experimental models. The rationale for this cotherapy was …
Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al.(1999)
A d'Onofrio, A Gandolfi - Mathematical biosciences, 2004 - Elsevier
The model proposed by Hahnfeldt et al.(1999) describes the growth of a tumour assuming
that tumour growth is strictly controlled by the evolution of the vascular network that supplies …
that tumour growth is strictly controlled by the evolution of the vascular network that supplies …
Antiangiogenic therapy in cancer treatment as an optimal control problem
U Ledzewicz, H Schättler - SIAM Journal on Control and Optimization, 2007 - SIAM
Antiangiogenic therapy is a novel treatment approach in cancer therapy that aims at
preventing a tumor from developing its own blood supply system that it needs for growth. In …
preventing a tumor from developing its own blood supply system that it needs for growth. In …
Optimal control theory for personalized therapeutic regimens in oncology: Background, history, challenges, and opportunities
Optimal control theory is branch of mathematics that aims to optimize a solution to a
dynamical system. While the concept of using optimal control theory to improve treatment …
dynamical system. While the concept of using optimal control theory to improve treatment …
On optimal delivery of combination therapy for tumors
A d'Onofrio, U Ledzewicz, H Maurer… - Mathematical …, 2009 - Elsevier
A mathematical model for the scheduling of angiogenic inhibitors in combination with a
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …
Targeting angiogenesis with integrative cancer therapies
DR Yance Jr, SM Sagar - Integrative cancer therapies, 2006 - journals.sagepub.com
An integrative approach for managing a patient with cancer should target the multiple
biochemical and physiological pathways that support tumor development while minimizing …
biochemical and physiological pathways that support tumor development while minimizing …
Optimal control for selected cancer chemotherapy ODE models: a view on the potential of optimal schedules and choice of objective function
In this article, four different mathematical models of chemotherapy from the literature are
investigated with respect to optimal control of drug treatment schedules. The various models …
investigated with respect to optimal control of drug treatment schedules. The various models …