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Review on Mathematical Models in Drug Discovery, Development and Treatments of Various Diseases


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1 School of Advanced Sciences, Vit University, Vellore, India
     

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Drug is considered as one of the most important necessity to all of us. A mathematical model plays an important role in drug development and drug discovery. In this short survey we have presented a brief note on the contribution of mathematical models to drug discovery, development and several therapies.

Keywords

Drugs, Drug Discovery, Drug Development, Mathematical Models.
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  • http://chekhov.cs.vt.edu/PAPERS/sys_biol_drug_disc.pdf
  • Yulia Balykina. Modern Approaches to Drugs Research and Development using Mathematical Modeling. Cloud of Science. 1; 2014 :566 – 578.
  • https://en.wikipedia.org/wiki/Drug
  • http://www.nature.com/subjects/drug–discovery
  • https://commons.wikimedia.org/wiki/File:Drug_discovery_cycle.svg
  • https://en.wikipedia.org/wiki/Drug_development
  • https://en.wikipedia.org/wiki/Mathematical_model
  • http://www.princeton.edu/engineering/news/archive/?id=4492
  • Slater C, Okell Cand Ghani C. Mathematical Modelling to Guide Drug Development for Malaria. Elimination Trends in Parasitology. 33; 2017: 175 – 184.
  • De Pillis L.G. and Radunskaya A. A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach. Journal of Theoretical Medicine. 3; 79–100.
  • https://www.sas.com/storefront/aux/en/sppharmastat/60622_excerpt.pdf
  • Orit Lavi Michael M, Gottesman and Doron Levy. The Dynamics of Drug Resistance: A Mathematical Perspective. Drug Resistance Updates. 15; 2012: 90– 97.
  • http://www.physiomics–plc.com/wpcontent/uploads/downloads/2010/06/ Physiomics_IPT _article.pdf
  • https://link.springer.com/chapter/10.1007%2F978–1–4939–0458–7_9
  • Ivana Ilic. Some Aspects of using Mathematics in Medical Sciences. Acta Medica Medianae 2008; 47: 52 – 54.
  • Urszula Ledzewicz, Mozhdeh Sadat Faraji Mosalman. Optimal Controls for a Mathematical Model of Tumor–Immune Interactions under Targeted Chemotherapy with Immune Boost. Discrete and Continuous Dynamical Systems Series B. 18; 2013:1031–1051.
  • Jean Clairambault. Optimizing Cancer Pharmacotherapeutics using Mathematical Modeling and a Systems Biology Approach. Personalized Medicine, 8; 2011: 271–286.
  • http://biorxiv.org/content/biorxiv/early/2016/08/23/071134.full.pdf
  • https://www.ncbi.nlm.nih.gov/pubmed/24340548
  • https://www.ncbi.nlm.nih.gov/pubmed/16140967
  • https://www.ncbi.nlm.nih.gov/pubmed/25348062
  • https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3521211/
  • https://link.springer.com/chapter/10.1007%2F978–1–4419–8871–3_3
  • https://www.ncbi.nlm.nih.gov/pubmed/16472396
  • https://www.ncbi.nlm.nih.gov/pubmed/23508300
  • https://www.ncbi.nlm.nih.gov/pubmed/17289081
  • Marcello Delitala, Tommaso Lorenzi. Recognition and Learning in a Mathematical Model for Immune Response against Cancer. Discrete and Continuous Dynamical Systems Series B. 18; 2013: 891– 914.
  • http://www.nature.com/nrc/journal/v15/n12/full/nrc4029.html
  • Araujo RP, Mcelwain DLS. A History of the Study of Solid Tumour Growth: The Contribution of Mathematical Modelling. Bulletin of Mathematical Biology, 66; 2004:1039–1091.

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  • Review on Mathematical Models in Drug Discovery, Development and Treatments of Various Diseases

Abstract Views: 290  |  PDF Views: 0

Authors

M. Yamuna
School of Advanced Sciences, Vit University, Vellore, India
A. Elakkiya
School of Advanced Sciences, Vit University, Vellore, India

Abstract


Drug is considered as one of the most important necessity to all of us. A mathematical model plays an important role in drug development and drug discovery. In this short survey we have presented a brief note on the contribution of mathematical models to drug discovery, development and several therapies.

Keywords


Drugs, Drug Discovery, Drug Development, Mathematical Models.

References