?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F341%2F&rft.title=Constitutive+Models+for+Tumour+Classification&rft.creator=Aruliah%2C+D.&rft.creator=Donaldson%2C+R.+D.&rft.creator=Drapaca%2C+C.+S.&rft.creator=Sanchez%2C+A.&rft.subject=Medical+and+pharmaceutical&rft.description=The+aim+of+this+paper+is+to+formulate+new+mathematical+models+that+will+be+able+to+differentiate+not+only+between+normal+and+abnormal+tissues%2C+but%2C+more+importantly%2C+between+benign+and+malignant+tumours.+We+present+preliminary+results+of+a+tri-phasic+model+and+numerical+simulations+of+the+effect+of+cellular+adhesion+forces+on+the+mechanical+properties+of+biological+tissues.+%0D%0A%0D%0AWe+pursued+the+following+three+approaches%3A%0D%0A(i)+the+simulation+of+the+time-harmonic+linear+elastic+models+to+examine+coarse+scale+effects+and+adhesion+properties%2C%0D%0A(ii)+the+investigation+of+a+tri-phasic+model%2C+with+the+intent+of+upscaling+this+model+to+determine+effects+of+electro-mechanical+coupling+between+cells%2C%0D%0Aand+(iii)+the+upscaling+of+a+simple+cell+model+as+a+framework+for+studying+interface+conditions+at+malignant+cells.%0D%0AEach+of+these+approaches+has+opened+exciting+new+directions+of+research+that+we+plan+to+study+in+the+future.&rft.date=2009&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F341%2F1%2FTumours.pdf&rft.identifier=++Aruliah%2C+D.+and+Donaldson%2C+R.+D.+and+Drapaca%2C+C.+S.+and+Sanchez%2C+A.++(2009)+Constitutive+Models+for+Tumour+Classification.++%5BStudy+Group+Report%5D+++++