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Tumour vasculature, oxygenation and radiosensitivity

A numerical modelling study Akademisk avhandling

som för avläggande av medicine doktorsexamen vid Sahlgrenska Akademin vid Göteborgs Universitet kommer att offentligen försvaras i Hörsal Arvid Carlsson,

Akademicum, Medicinaregatan 3 fredagen den 28 mars 2014, kl. 13.00.

av

Jakob H. Lagerlöf

Fakultetsopponent:

Professor emeritus Jörgen Carlsson

Institutionen för Biomedicinsk Strålningsvetenskap, Uppsala Universitet.

Avhandlingen är baserad på följande arbeten

I J.H. Lagerlöf, J. Kindblom and P. Bernhardt, “3D modeling of effects of increased oxygenation and activity concentration in tumors treated with radionuclides and antiangiogenic drugs”, Medical Physics, Volume 38, Issue 8, Pages 4888-93, 2011 II J.H. Lagerlöf, J. Kindblom, E. Cortez, K. Pietras and P. Bernhardt, “Image-based 3D

modeling study of the influence of vessel density and blood hemoglobin concent- ration on tumor oxygenation and response to irradiation”, Medical Physics, Volume 40, Issue 2, Pages 024101:1-7

Listad hos Global Medical Discovery [ISSN 1929-8536]

Listad hos World Biomedical Frontiers [ISSN 2328-0166]

III J.H. Lagerlöf, J. Kindblom and P. Bernhardt, “The impact of including spatially longi- tudinal heterogeneities of vessel oxygen content and vascular fraction in 3D tumour oxygenation models on predicted radiation sensitivity”, accepterad för publicering i Medical Physics, februari 2014

IV J.H. Lagerlöf, J. Kindblom and P. Bernhardt, “Oxygen distribution in tumours – a

qualitative analysis and modelling study providing a novel Monte Carlo approach”,

skickad till Medical Physics, februari 2014

(2)

UNIVERSITY OF GOTHENBURG Document type

Department of Radiation Physics Doctoral dissertation

The Sahlgrenska Academy Date of publication

SE-413 45 Göteborg March 2014

SWEDEN Jakob H. Lagerlöf

Title

Tumour vasculature, oxygenation and radiosensitivity – a numerical modelling study

Abstract

This thesis aims to investigate theoretically how parameters such as vessel density, blood oxy- genation, blood velocity, spatial oxygen variation along vessels, tissue oxygen consumption and their distributions influence the radiosensitivity of tumours.

Numerical calculations are made in M

ATLAB

using voxel-based models. Direct and indirect Monte Carlo based methods are used, e.g. kernels for dose calculations and random-based mo- dels for simulation of in oxygen and activity distributions in tumours. Oxygen diffusion is cal- culated using a Green’s function based method and oxygen consumption follows the Michaelis- Menten kinetic model. Cryosectioning and immunostaining of insulinoma from mouse is done for model development. The linear quadratic cell survival model , including the oxygen effect, is used to calculate tumour control probability (TCP) and absorbed doses. Convolutions, with dif- fusion and dose kernels, are preferably made in frequency space for computational reasons.

By raising the oxygen pressure (pO

2

), through antiangiogenic treatment, in tumours and re- taining TCP, radiation damage to normal tissues can be strongly reduced. Variation of blood pO

2

affects the position of the pO

2

distribution while altered vessel density affects the distribution shape. The greatest increase in radiosensitivity by increased pO

2

is achieved for 50% relative vessel density. In tumour oxygenation modelling, pO

2

of the blood must vary along the vessel and a random distribution of pO

2

in incoming blood is used to get realistic results.

Combining improved oxygenation and radionuclide uptake shows great potential of impro- ving radionuclide treatment. There is an optimum region of vessel density where the highest increase in radiosensitivity is achieved by increasing blood pO

2

. It appears to be possible to de- termine the cause of hypoxia from the shape of the pO

2

distribution. To make a good estimate of treatment result, it is crucial to know the full pO

2

distribution and not only the mean or the hypoxic fraction. Improving oxygenation of partly necrotic tumours is not always beneficial for radiation treatment. Small spherical tumours are more sensitive than larger ones to the shape of the pO

2

distribution. This is likely because a hypoxic region of a small tumour is more affected by its location relative to the tumour centre, given constant thickness, due to the relatively greater difference in radius and therefore volume.

Keywords: Angiogenesis, Dosimetry, Hypoxia, Modelling, Radionuclide therapy, Radiotherapy, Tumour Control Probability

ISBN 978-91-637-5257-5

URL http://hdl.handle.net/2077/34840

References

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