Identification of the blood perfusion rate for laser-induced thermotherapy in the liver

Andres, Matthias; Blauth, Sebastian; Leithäuser, Christian; Siedow, Norbert

doi:10.1186/s13362-020-00085-1

Cited by 11 publications

(6 citation statements)

References 28 publications

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“…Our initial guess for the kinetic parameters is based on the parameters computed in [11,29] and is given by E a = 65 kJ/mol, log(A) = 12, and n = 0.222. We refer the reader, e.g., to [58,59] for a detailed description of the algorithm and to [60] for its application in the context of PDE-constrained optimization.…”

Section: Numerical Resultsmentioning

confidence: 99%

Optimal control of the Sabatier process in microchannel reactors

2021

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We consider the optimization of a chemical microchannel reactor by means of PDE-constrained optimization techniques, using the example of the Sabatier reaction. To model the chemically reacting flow in the microchannels, we introduce a three- and a one-dimensional model. As these are given by strongly coupled and highly nonlinear systems of partial differential equations (PDEs), we present our software package cashocs which implements the adjoint approach and facilitates the numerical solution of the subsequent optimization problems. We solve a parameter identification problem numerically to determine necessary kinetic parameters for the models from experimental data given in the literature. The obtained results show excellent agreement to the measurements. Finally, we present two optimization problems for optimizing the reactor’s product yield. First, we use a tracking-type cost functional to maximize the reactant conversion, keep the flow rate of the reactor fixed, and use its wall temperature as optimization variable. Second, we consider the wall temperature and the inlet gas velocity as optimization variables, use an objective functional for maximizing the flow rate in the reactor, and ensure the quality of the product by means of a state constraint. The results obtained from solving these problems numerically show great potential for improving the design of the microreactor.

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Section: Numerical Resultsmentioning

confidence: 99%

Optimal control of the Sabatier process in microchannel reactors

2021

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“…One approach can be to identify the blood perfusion rate from MR thermometry during the beginning of the treatment and use this information to correctly simulate the remaining treatment (cf. [20]).…”

Section: Discussionmentioning

confidence: 99%

Mathematical Modeling of Vaporization during Laser-Induced Thermotherapy in Liver Tissue

Blauth,

Hübner,

Leithäuser

et al. 2019

Preprint

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Laser-induced thermotherapy (LITT) is a minimally invasive method causing tumor destruction due to heat ablation and coagulative effects. Computer simulations can play an important role to assist physicians with the planning and monitoring of the treatment. Our recent study with ex-vivo porcine livers has shown that the vaporization of the water in the tissue must be taken into account when modeling LITT. We extend the model used for simulating LITT to account for vaporization using two different approaches. Results obtained with these new models are then compared with the measurements from the original study.

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“…Afterwards, the damage function is computed element-wise using a righthand Riemann sum to discretize the time integral of ( 6). For a more detailed discussion on the numerical simulation we refer to our previous work [2,7,12].…”

Section: Methodsmentioning

confidence: 99%

Validating a Simulation Model for Laser-Induced Thermotherapy Using MR Thermometry

Hübner¹,

Blauth²,

Leithäuser³

et al. 2022

Preprint

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Laser-induced interstitial thermotherapy (LITT) is applied to ex-vivo porcine livers. An artificial blood vessel is used to study the cooling effect of larger blood vessels in proximity to the ablation zone. The same setting is simulated using a model based on partial differential equations (PDEs) for temperature, radiation, and tissue damage. The simulated temperature distributions are compared to temperature data obtained from MR thermometry. The study shows that the quality and resolution of the thermometry data is sufficient to validate and improve modeling approaches. Furthermore, the data can be used to identify missing model parameters as well as the exact placement of the laser applicator in relation to the imaging plane.

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Identification of the blood perfusion rate for laser-induced thermotherapy in the liver

Cited by 11 publications

References 28 publications

Optimal control of the Sabatier process in microchannel reactors

Optimal control of the Sabatier process in microchannel reactors

Mathematical Modeling of Vaporization during Laser-Induced Thermotherapy in Liver Tissue

Validating a Simulation Model for Laser-Induced Thermotherapy Using MR Thermometry

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