Abstract
Using mathematical models to simulate dynamic biological processes has a long history. Over the past couple of decades or so, quantitative approaches have also made their way into cancer research. An increasing number of mathematical, physical, computational and engineering techniques have been applied to various aspects of tumor growth, with the ultimate goal of understanding the response of the cancer population to clinical intervention. So-called in silico trials that predict patient-specific response to various dose schedules or treatment combinations and sequencing are on the way to becoming an invaluable tool to optimize patient care. Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
Keywords: Ordinary differential equation, partial differential equation, tumor modeling, angiogenesis.
Call for Papers in Thematic Issues
"Multidisciplinary Pharmaceutical Drug Design Strategies in the Progress of Drug Discovery"
The process of developing a drug is time- and money-consuming, but also fascinating. The development of numerous computational techniques, synthetic methodologies, formulation-based drug discovery, etc. has improved the drug discovery process. The process of developing new drugs is significantly hampered by drug-poor pharmacodynamics and pharmacokinetic problems. To address these challenges, ...read more
Advances in the Molecular Pathogenesis of Inflammatory Bowel Disease.
This thematic issue will emphasize the recent breakthroughs in the mechanisms of Inflammatory bowel disease (IBD) pathogenesis and devotes some understanding of both Crohn’s and ulcerative colitis. It is expected to include studies about cellular and genetic aspects, which help to precipitate the disease, and the immune system-gut microbiome relations ...read more
Blood-based biomarkers in large-scale screening for neurodegenerative diseases
Disease biomarkers are necessary tools that can be employed in several clinical context of use (COU), ranging from the (early) diagnosis, prognosis, and prediction, to monitoring of disease state and/or drug efficacy. Regarding neurodegenerative diseases, in particular Alzheimer’s disease (AD), a battery of well-validated biomarkers are available, such as cerebrospinal ...read more
Diabetes mellitus: advances in diagnosis and treatment driving by precision medicine
Diabetes mellitus (DM) is a chronic degenerative metabolic disease with ever increasing prevalence worldwide which is now an epidemic disease affecting 500 million people worldwide. Insufficient insulin secretion from pancreatic β cells unable to maintain blood glucose homeostasis is the main feature of this disease. Multifactorial and complex nature of ...read more
Related Journals
Anti-Cancer Agents in Medicinal Chemistry
Anti-Inflammatory & Anti-Allergy Agents in Medicinal Chemistry
Current Bioactive Compounds
Current Cancer Drug Targets
Combinatorial Chemistry & High Throughput Screening
Current Cancer Therapy Reviews
Current Diabetes Reviews
Current Drug Safety
Current Drug Targets
Current Drug Therapy
Related Books
Bioactive Compounds Targeting Neurodegenerative Diseases
Anthraquinones: Bioactive Multifaceted Therapeutic Agents
Therapeutic Plants: Recent Advances in the Use of Herbs as Alternative Medications
Quality Assurance of Ethno-Herbals: Cultivating Confidence in Alternative Medicine
Traditional Medicine in North East Africa: Research on Traditional Healer Preparations and Herbs
Andrographolide and its Analogs: Botanical Sources, Phytochemistry, Pharmacology, and Biotechnology
Anthocyanins: Pharmacology and Nutraceutical Importance
Herbal Medicine for Autoimmune Diseases
The Roles and Responsibilities of Clinical Pharmacists in Hospital Settings
Bioactive Compounds from Medicinal Plants for Cancer Therapy and Chemoprevention
101
