English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Effect of Linearization in a WNT Signaling Model

Ciusdel, C. F., Coman, S., Boldisor, C., Kessler, T., Muradyan, A., Kovachev, A., et al. (2019). Effect of Linearization in a WNT Signaling Model. Computational and Mathematical Methods in Medicine, 2019: ID 8461820. doi:10.1155/2019/8461820.

Item is

Basic

show hide
Genre: Journal Article

Files

show Files
hide Files
:
Ciusdel_2019.pdf (Publisher version), 2MB
Name:
Ciusdel_2019.pdf
Description:
-
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
Copyright© 2019 C. F. Ciusdel et al

Locators

show

Creators

show
hide
 Creators:
Ciusdel, C. F., Author
Coman, S., Author
Boldisor, Cr., Author
Kessler, T.1, Author
Muradyan, A.1, Author
Kovachev, A.1, Author
Lehrach, H.1, 2, 3, Author              
Wierling, C.1, Author
Itu, L. M., Author
Affiliations:
1Alacris Theranostics GmbH, 12489 Berlin, Germany, ou_persistent22              
2Emeritus Group of Vertebrate Genomics (Head: Hans Lehrach), Max Planck Institute for Molecular Genetics, Max Planck Society, ou_2385697              
3Dahlem Centre for Genome Research and Medical Systems Biology, Max-Planck-Str. 3, 12489 Berlin, Germany, ou_persistent22              

Content

show
hide
Free keywords: -
 Abstract: A nonlinear model consisting of a system of coupled ordinary differential equations (ODE), describing a biological process linkedwith cancer development, is linearized using Taylor series and tested against different magnitudes of input perturbations, in orderto investigate the extent to which the linearization is accurate. )e canonical wingless/integrated (WNT) signaling pathway isconsidered. )e linearization procedure is described, and special considerations for linearization validity are analyzed. )eanalytical properties of nonlinear and linearized systems are studied, including aspects such as existence of steady state and initialvalue sensitivity. Linearization is a useful tool for speeding up drug response computations or for providing analytical answers toproblems such as required drug concentrations. A Monte Carlo-based error testing workflow is employed to study the errorsintroduced by the linearization for different input conditions and parameter vectors. )e deviations between the nonlinear and thelinearized system were found to increase in a polynomial fashion w.r.t. the magnitude of tested perturbations. )e linearizedsystem closely followed the original one for perturbations of magnitude within 10% of the base input vector which yielded thestate-space fixed point used for the linearization

Details

show
hide
Language(s): eng - English
 Dates: 2019-05-062019-06-10
 Publication Status: Published online
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1155/2019/8461820
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Computational and Mathematical Methods in Medicine
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: London : Hindawi Publishing Corporation
Pages: 9 Volume / Issue: 2019 Sequence Number: ID 8461820 Start / End Page: - Identifier: -