2018
DOI: 10.14293/p2199-8442.1.sop-math.pyjmwg.v1
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Efficient Therapy Planning via Model Reduction for Laser-Induced Interstitial Thermotherapy

Abstract: We investigate the planning of minimally invasive tumor treatments via laser-induced thermotherapy. The goal is to control the laser in order to obtain an optimal treatment, e.g. eradicating the tumor, while leaving as much healthy tissue unharmed as possible. To this end, we define a PDE-constrained optimal control problem. As these problems are usually computationally expensive, we propose a simplified modeling approach using reduced-order models. Numerical results illustrate the viability of our approach.

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“…The outer layer is collagen fiber layer composed of collagen fiber bundles, and the inner layer is elastic fiber layer, which is easier to stretch. In clinical practice, it is difficult to obtain the data of thermal deformation of vascular tissues through in vivo experiments, but the relationship between thermal effect of biological tissues and critical temperature given by Niemz [22] can be used as the basis for thermal deformation of vascular tissues.…”
Section: Study On Wound Surface Pressure Hemostasismentioning
confidence: 99%
“…The outer layer is collagen fiber layer composed of collagen fiber bundles, and the inner layer is elastic fiber layer, which is easier to stretch. In clinical practice, it is difficult to obtain the data of thermal deformation of vascular tissues through in vivo experiments, but the relationship between thermal effect of biological tissues and critical temperature given by Niemz [22] can be used as the basis for thermal deformation of vascular tissues.…”
Section: Study On Wound Surface Pressure Hemostasismentioning
confidence: 99%