NDLI: Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation

Content Provider	Springer Nature Link
Author	Vermolen, F. J. Meijden, R. P. van der Es, M. van Gefen, A. Weihs, D.
Copyright Year	2015
Abstract	A phenomenological model is formulated to model the early stages of tumor formation. The model is based on a cell-based formalism, where each cell is represented as a circle or sphere in two-and three dimensional simulations, respectively. The model takes into account constituent cells, such as epithelial cells, tumor cells, and T-cells that chase the tumor cells and engulf them. Fundamental biological processes such as random walk, haptotaxis/chemotaxis, contact mechanics, cell proliferation and death, as well as secretion of chemokines are taken into account. The developed formalism is based on the representation of partial differential equations in terms of fundamental solutions, as well as on stochastic processes and stochastic differential equations. We also take into account the likelihood of seeding of tumors. The model shows the initiation of tumors and allows to study a quantification of the impact of various subprocesses and possibly even of various treatments.
Starting Page	1680
Ending Page	1694
Page Count	15
File Format	PDF
ISSN	00906964
Journal	Annals of Biomedical Engineering
Volume Number	43
Issue Number	7
e-ISSN	15739686
Language	English
Publisher	Springer US
Publisher Date	2015-02-11
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Tumor initiation Cell-based modeling Immune system response Fundamental solutions Cell proliferation Mutation Cell migration Biomedicine general Biomedical Engineering Biophysics and Biological Physics Mechanics Biochemistry
Content Type	Text
Resource Type	Article
Subject	Biomedical Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation.

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation (2015)

Semi-stochastic cell-level computational modeling of the immune system response to bacterial infections and the effects of antibiotics

A semi-stochastic cell-based formalism to model the dynamics of migration of cells in colonies

Semi-stochastic cell-level computational modelling of cellular forces: application to contractures in burns and cyclic loading

Multiscale Imaging and Computational Modeling of Blood Flow in the Tumor Vasculature

Coordination of Id1 and p53 Activation by Oxidized LDL Regulates Endothelial Cell Proliferation and Migration

Viscoelastic Gel-Strip Model for the Simulation of Migrating Cells

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation

Similar Documents

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation.

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation (2015)

Semi-stochastic cell-level computational modeling of the immune system response to bacterial infections and the effects of antibiotics

A semi-stochastic cell-based formalism to model the dynamics of migration of cells in colonies

Semi-stochastic cell-level computational modelling of cellular forces: application to contractures in burns and cyclic loading

Multiscale Imaging and Computational Modeling of Blood Flow in the Tumor Vasculature

Coordination of Id1 and p53 Activation by Oxidized LDL Regulates Endothelial Cell Proliferation and Migration

Viscoelastic Gel-Strip Model for the Simulation of Migrating Cells

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation