Ontology highlight
ABSTRACT:
PROVIDER: PRJNA809119 | ENA |
REPOSITORIES: ENA
Dataset's files
| Action | DRS | |||
|---|---|---|---|---|
| SRR18094514_1.fastq.gz | Fastqsanger.gz | |||
| SRR18094514_2.fastq.gz | Fastqsanger.gz | |||
| SRR18094515_1.fastq.gz | Fastqsanger.gz | |||
| SRR18094515_2.fastq.gz | Fastqsanger.gz | |||
| SRR18094516_1.fastq.gz | Fastqsanger.gz |
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This model is described in the article:
Mathematical analysis of a tumour-immune interaction model: A moving boundary problem
Joseph Malinzi and Innocenter Amima
Mathematical Biosciences 308 (2019) 8–19
Abstract:
IA spatio-temporal mathematical model, in the form of a moving boundary problem, to explain cancer dormancy is developed. Analysis of the model is carried out for both temporal and spatio-temporal cases. Stability analysis and numerical simulations of the temporal model replicate experimental observations of immune-induced tu- mour dormancy. Travelling wave solutions of the spatio-temporal model are determined using the hyperbolic tangent method and minimum wave speeds of invasion are calculated. Travelling wave analysis depicts that cell invasion dynamics are mainly driven by their motion and growth rates. A stability analysis of the spatio-tem- poral model shows a possibility of dynamical stabilization of the tumour-free steady state. Simulation results reveal that the tumour swells to a dormant level.
To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models .
To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide.
Please refer to CC0 Public Domain Dedication for more information. Model is encoded by Jinghao Man and submitted to BioModels by Krishna Tiwari
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