A MODEL OF THE TUMOUR SPHEROID RESPONSE TO RADIATION Identifiability Analysis

被引：0

作者：

Papa, F. ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Informat & Sistemist A Ruberti, Via Ariosto 25, Rome, Italy

来源：

BIOSIGNALS 2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON BIO-INSPIRED SYSTEMS AND SIGNAL PROCESSING | 2010年

关键词：

Tumour spheroids models; Radiotherapy; Global identifiability; GROWTH;

D O I：

暂无

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

A spatially uniform model of tumour growth after a single instantaneous radiative treatment is presented in this paper. The ordinary differential equation model presented may be obtained from an equivalent partial derivative equation model, by integration with respect to the radial distance. The main purpose of the paper is to study its identifiability properties. In fact, a preliminary condition, that is necessary to verify before performing the parameter identification, is the global identifiability of a model. A detailed study of the identifiability properties of the model is done pointing out that it is globally identifiable, provided that the responses to two different radiation doses are available.

引用

页码：419 / 423

页数：5

共 50 条

[21] A mechanistic study on tumour spheroid formation in thermosensitive hydrogels: experiments and mathematical modelling
Cui, X.
Dini, S.
Dai, S.
Bi, J.
Binder, B. J.
Green, J. E. F.
Zhang, H.
RSC ADVANCES, 2016, 6 (77) : 73282 - 73291
[22] Benchmarking tools for a priori identifiability analysis
Barreiro, Xabier Rey
Villaverde, Alejandro F.
BIOINFORMATICS, 2023, 39 (02)
[23] A voxel-based multiscale model to simulate the radiation response of hypoxic tumors
Espinoza, I.
Peschke, P.
Karger, C. P.
MEDICAL PHYSICS, 2015, 42 (01) : 90 - 102
[24] Practical parameter identifiability and handling of censored data with Bayesian inference in mathematical tumour models
Porthiyas, Jamie
Nussey, Daniel
Beauchemin, Catherine A. A.
Warren, Donald C.
Quirouette, Christian
Wilkie, Kathleen P.
NPJ SYSTEMS BIOLOGY AND APPLICATIONS, 2024, 10 (01)
[25] Spatial Metrics of Tumour Vascular Organisation Predict Radiation Efficacy in a Computational Model
Scott, Jacob G.
Fletcher, Alexander G.
Anderson, Alexander R. A.
Maini, Philip K.
PLOS COMPUTATIONAL BIOLOGY, 2016, 12 (01)
[26] The use of a comprehensive tumour xenograft dataset to validate gene signatures relevant for radiation response
Starmans, Maud H. W.
Zips, Daniel
Wouters, Bradly G.
Baumann, Michael
Lambin, Philippe
RADIOTHERAPY AND ONCOLOGY, 2009, 92 (03) : 417 - 422
[27] MODEL OF TUMOUR ANGIOGENESIS - ANALYSIS OF STABILITY WITH RESPECT TO DELAYS
Bodnar, Marek
Piotrowska, Monika Joanna
Forys, Urszula
Nizinska, Ewa
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2013, 10 (01) : 19 - 35
[28] An Analysis of the Dynamics of a Cancerous Tumour Model with Targeted Chemotherapy
Das, Anusmita
Paul, Ranu
Dehingia, Kaushik
Sarmah, Hemanta Kumar
ASIAN JOURNAL OF PHARMACEUTICAL RESEARCH AND HEALTH CARE, 2020, 12 (03) : 130 - 140
[29] Identifying a response parameter in a model of brain tumour evolution under therapy
Baravdish, G.
Johansson, B. T.
Svensson, O.
Ssebunjo, W.
IMA JOURNAL OF APPLIED MATHEMATICS, 2023, 88 (02) : 378 - 404
[30] Electrochemical mapping of oxygenation in the three-dimensional multicellular tumour hemi-spheroid
Sheth, Disha B.
Gratzl, Miklos
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 475 (2225):

← 1 2 3 4 5 →