Mathematical modelling of microtumour infiltration based on in vitro experiments

The present mathematical models of microtumours consider, in general, volumetric growth and spherical tumour invasion shapes. Nevertheless in many cases, such as in gliomas, a need for more accurate delineation of tumour infiltration areas in a patient-specific manner has arisen. The objective of th...

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Autores principales:	Luján, E., Guerra, L.N., Soba, A., Visacovsky, N., Gandía, D., Calvo, J.C., Suárez, C.
Formato:	JOUR
Materias:	animal cell animal experiment Article cell proliferation collagen degradation controlled study diffusion coefficient epithelium cell experimental neoplasm image processing in vitro study mathematical model Monte Carlo method mouse nonhuman phenotype priority journal surface property tumor cell tumor invasion tumor microenvironment tumor spheroid animal biological model biophysics brain tumor computer simulation epithelium glioma human metabolism microcirculation multicellular spheroid neoplasm pathology Animals Biophysical Phenomena Brain Neoplasms Cell Proliferation Computer Simulation Epithelium Glioma Humans Image Processing, Computer-Assisted In Vitro Techniques Mice Microcirculation Models, Biological Monte Carlo Method Neoplasm Invasiveness Neoplasms Spheroids, Cellular
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_17579694_v8_n8_p879_Lujan
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_17579694_v8_n8_p879_Lujan
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spelling	todo:paper_17579694_v8_n8_p879_Lujan2023-10-03T16:32:42Z Mathematical modelling of microtumour infiltration based on in vitro experiments Luján, E. Guerra, L.N. Soba, A. Visacovsky, N. Gandía, D. Calvo, J.C. Suárez, C. animal cell animal experiment Article cell proliferation collagen degradation controlled study diffusion coefficient epithelium cell experimental neoplasm image processing in vitro study mathematical model Monte Carlo method mouse nonhuman phenotype priority journal surface property tumor cell tumor invasion tumor microenvironment tumor spheroid animal biological model biophysics brain tumor computer simulation epithelium glioma human metabolism microcirculation multicellular spheroid neoplasm pathology Animals Biophysical Phenomena Brain Neoplasms Cell Proliferation Computer Simulation Epithelium Glioma Humans Image Processing, Computer-Assisted In Vitro Techniques Mice Microcirculation Models, Biological Monte Carlo Method Neoplasm Invasiveness Neoplasms Spheroids, Cellular The present mathematical models of microtumours consider, in general, volumetric growth and spherical tumour invasion shapes. Nevertheless in many cases, such as in gliomas, a need for more accurate delineation of tumour infiltration areas in a patient-specific manner has arisen. The objective of this study was to build a mathematical model able to describe in a case-specific way as well as to predict in a probabilistic way the growth and the real invasion pattern of multicellular tumour spheroids (in vitro model of an avascular microtumour) immersed in a collagen matrix. The two-dimensional theoretical model was represented by a reaction-convection-diffusion equation that considers logistic proliferation, volumetric growth, a rim with proliferative cells at the tumour surface and invasion with diffusive and convective components. Population parameter values of the model were extracted from the experimental dataset and a shape function that describes the invasion area was derived from each experimental case by image processing. New possible and aleatory shape functions were generated by data mining and Monte Carlo tools by means of a satellite EGARCH model, which were fed with all the shape functions of the dataset. Then the main model is used in two different ways: to reproduce the growth and invasion of a given experimental tumour in a case-specific manner when fed with the corresponding shape function (descriptive simulations) or to generate new possible tumour cases that respond to the general population pattern when fed with an aleatory-generated shape function (predictive simulations). Both types of simulations are in good agreement with empirical data, as it was revealed by area quantification and Bland-Altman analysis. This kind of experimental-numerical interaction has wide application potential in designing new strategies able to predict as much as possible the invasive behaviour of a tumour based on its particular characteristics and microenvironment. © 2016 The Royal Society of Chemistry. Fil:Guerra, L.N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Soba, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Calvo, J.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Suárez, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17579694_v8_n8_p879_Lujan
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	animal cell animal experiment Article cell proliferation collagen degradation controlled study diffusion coefficient epithelium cell experimental neoplasm image processing in vitro study mathematical model Monte Carlo method mouse nonhuman phenotype priority journal surface property tumor cell tumor invasion tumor microenvironment tumor spheroid animal biological model biophysics brain tumor computer simulation epithelium glioma human metabolism microcirculation multicellular spheroid neoplasm pathology Animals Biophysical Phenomena Brain Neoplasms Cell Proliferation Computer Simulation Epithelium Glioma Humans Image Processing, Computer-Assisted In Vitro Techniques Mice Microcirculation Models, Biological Monte Carlo Method Neoplasm Invasiveness Neoplasms Spheroids, Cellular
spellingShingle	animal cell animal experiment Article cell proliferation collagen degradation controlled study diffusion coefficient epithelium cell experimental neoplasm image processing in vitro study mathematical model Monte Carlo method mouse nonhuman phenotype priority journal surface property tumor cell tumor invasion tumor microenvironment tumor spheroid animal biological model biophysics brain tumor computer simulation epithelium glioma human metabolism microcirculation multicellular spheroid neoplasm pathology Animals Biophysical Phenomena Brain Neoplasms Cell Proliferation Computer Simulation Epithelium Glioma Humans Image Processing, Computer-Assisted In Vitro Techniques Mice Microcirculation Models, Biological Monte Carlo Method Neoplasm Invasiveness Neoplasms Spheroids, Cellular Luján, E. Guerra, L.N. Soba, A. Visacovsky, N. Gandía, D. Calvo, J.C. Suárez, C. Mathematical modelling of microtumour infiltration based on in vitro experiments
topic_facet	animal cell animal experiment Article cell proliferation collagen degradation controlled study diffusion coefficient epithelium cell experimental neoplasm image processing in vitro study mathematical model Monte Carlo method mouse nonhuman phenotype priority journal surface property tumor cell tumor invasion tumor microenvironment tumor spheroid animal biological model biophysics brain tumor computer simulation epithelium glioma human metabolism microcirculation multicellular spheroid neoplasm pathology Animals Biophysical Phenomena Brain Neoplasms Cell Proliferation Computer Simulation Epithelium Glioma Humans Image Processing, Computer-Assisted In Vitro Techniques Mice Microcirculation Models, Biological Monte Carlo Method Neoplasm Invasiveness Neoplasms Spheroids, Cellular
description	The present mathematical models of microtumours consider, in general, volumetric growth and spherical tumour invasion shapes. Nevertheless in many cases, such as in gliomas, a need for more accurate delineation of tumour infiltration areas in a patient-specific manner has arisen. The objective of this study was to build a mathematical model able to describe in a case-specific way as well as to predict in a probabilistic way the growth and the real invasion pattern of multicellular tumour spheroids (in vitro model of an avascular microtumour) immersed in a collagen matrix. The two-dimensional theoretical model was represented by a reaction-convection-diffusion equation that considers logistic proliferation, volumetric growth, a rim with proliferative cells at the tumour surface and invasion with diffusive and convective components. Population parameter values of the model were extracted from the experimental dataset and a shape function that describes the invasion area was derived from each experimental case by image processing. New possible and aleatory shape functions were generated by data mining and Monte Carlo tools by means of a satellite EGARCH model, which were fed with all the shape functions of the dataset. Then the main model is used in two different ways: to reproduce the growth and invasion of a given experimental tumour in a case-specific manner when fed with the corresponding shape function (descriptive simulations) or to generate new possible tumour cases that respond to the general population pattern when fed with an aleatory-generated shape function (predictive simulations). Both types of simulations are in good agreement with empirical data, as it was revealed by area quantification and Bland-Altman analysis. This kind of experimental-numerical interaction has wide application potential in designing new strategies able to predict as much as possible the invasive behaviour of a tumour based on its particular characteristics and microenvironment. © 2016 The Royal Society of Chemistry.
format	JOUR
author	Luján, E. Guerra, L.N. Soba, A. Visacovsky, N. Gandía, D. Calvo, J.C. Suárez, C.
author_facet	Luján, E. Guerra, L.N. Soba, A. Visacovsky, N. Gandía, D. Calvo, J.C. Suárez, C.
author_sort	Luján, E.
title	Mathematical modelling of microtumour infiltration based on in vitro experiments
title_short	Mathematical modelling of microtumour infiltration based on in vitro experiments
title_full	Mathematical modelling of microtumour infiltration based on in vitro experiments
title_fullStr	Mathematical modelling of microtumour infiltration based on in vitro experiments
title_full_unstemmed	Mathematical modelling of microtumour infiltration based on in vitro experiments
title_sort	mathematical modelling of microtumour infiltration based on in vitro experiments
url	http://hdl.handle.net/20.500.12110/paper_17579694_v8_n8_p879_Lujan
work_keys_str_mv	AT lujane mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments AT guerraln mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments AT sobaa mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments AT visacovskyn mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments AT gandiad mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments AT calvojc mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments AT suarezc mathematicalmodellingofmicrotumourinfiltrationbasedoninvitroexperiments
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Mathematical modelling of microtumour infiltration based on in vitro experiments

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