Multiscale computational modelling and analysis of cancer invasion

TY - CHAP

T1 - Multiscale computational modelling and analysis of cancer invasion

AU - Trucu, Dumitru

AU - Domschke, Pia

AU - Gerisch, Alf

AU - Chaplain, Mark

PY - 2016

Y1 - 2016

N2 - Recognised as a key stage in cancer growth and spread in the human body, the cancer cell invasion process is crucial for metastatic spread and the subsequent development of secondary cancers. Tissue scale proliferation and migration in conjunction with a pallet of arising cell-scale dynamics including altered adhesion and secretion of matrix degrading enzymes enable the cancer cells to actively spread locally into the surrounding tissue. This biological multiscale character that cancer invasion exhibits therefore explores the natural two-way link between the molecular processes occurring at the level of individual cells (micro-scale) and the processes occurring at the level of cell population (macro-scale). This chapter will address these multiscale biological processes from a mathematical modelling and analysis perspective, gradually paving the way towards an integrated multiscale framework that explores the tight connection between the tissues scale changes in tumour morphology and the cell-scale dynamics of proteolytic enzymes in the neighbourhood of the tumour interface.

AB - Recognised as a key stage in cancer growth and spread in the human body, the cancer cell invasion process is crucial for metastatic spread and the subsequent development of secondary cancers. Tissue scale proliferation and migration in conjunction with a pallet of arising cell-scale dynamics including altered adhesion and secretion of matrix degrading enzymes enable the cancer cells to actively spread locally into the surrounding tissue. This biological multiscale character that cancer invasion exhibits therefore explores the natural two-way link between the molecular processes occurring at the level of individual cells (micro-scale) and the processes occurring at the level of cell population (macro-scale). This chapter will address these multiscale biological processes from a mathematical modelling and analysis perspective, gradually paving the way towards an integrated multiscale framework that explores the tight connection between the tissues scale changes in tumour morphology and the cell-scale dynamics of proteolytic enzymes in the neighbourhood of the tumour interface.

KW - Multiscale modelling

KW - Cancer invasion

KW - Computational simulations

U2 - 10.1007/978-3-319-42679-2_5

DO - 10.1007/978-3-319-42679-2_5

M3 - Chapter (peer-reviewed)

SN - 9783319426785

T3 - C.I.M.E. Foundation Subseries

SP - 275

EP - 321

BT - Mathematical Models and Methods for Living Systems

A2 - Preziosi, Luigi

A2 - Ciarletta, Pasquale

A2 - Hillen, Thomas

A2 - Chaplain, Mark

A2 - Pugliese, Andrea

A2 - Othmer, Hans

A2 - Truccu, Dumitru

PB - Springer International Publishing

ER -