Published October 22, 2015
| Version v1
Journal article
A new ODE tumor growth modeling based on tumor population dynamics
- 1. Institute of Mathematical Sciences, Faculty of Science University of Malaya, 50603 Kuala Lumpur, Malaysia amin.oroji@siswa.um.edu.my, mohd@um.edu.my (Malaysia)
- 2. Mathematics Department Mississippi State University, USA Syarahmadian@math.msstate.edu (United States)
Description
In this paper a new mathematical model for the population of tumor growth treated by radiation is proposed. The cells dynamics population in each state and the dynamics of whole tumor population are studied. Furthermore, a new definition of tumor lifespan is presented. Finally, the effects of two main parameters, treatment parameter (q), and repair mechanism parameter (r) on tumor lifespan are probed, and it is showed that the change in treatment parameter (q) highly affects the tumor lifespan
Additional details
Identifiers
- DOI
- 10.1063/1.4932454;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 1682
- Journal Issue
- 1
- Journal Page Range
- p. 020045-020045.10
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- 22. National symposium on mathematical sciences - Strengthening research and collaboration of mathematical sciences in Malaysia
- Acronym
- SKSM22
- Dates
- 24-26 Nov 2014
- Place
- Selangor (Malaysia)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47062634
- Subject category
- S62: RADIOLOGY AND NUCLEAR MEDICINE;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- GROWTH; HUMAN POPULATIONS; MATHEMATICAL MODELS; NEOPLASMS; POPULATION DYNAMICS; SIMULATION
- Descriptors DEC
- DISEASES; POPULATIONS
Optional Information
- Notes
- (c) 2015 AIP Publishing LLC