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Simulating Heat Dissipation within a Tumor During Hyperthermia Therapy

https://doi.org/10.2139/ssrn.5349396
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A Spatially Fourth-Order Cartesian Grid Method for Fast Solutions of Elliptic and Parabolic Problems on Irregular Domains with Sharply Curved Boundaries
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Choosing nodes in parametric curve interpolation
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A Computational Approach to Edge Detection
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Finite element methods for semilinear elliptic and parabolic interface problems
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Partition of unity extension of functions on complex domains
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Spectrally accurate solutions to inhomogeneous elliptic PDE in smooth geometries using function intension
inferredcites →https://doi.org/10.1016/j.jtherbio.2014.10.005openalex-snapshot
Interstitial hyperthermia treatment of countercurrent vascular tissue: A comparison of Pennes, WJ and porous media bioheat models
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A survey on deep learning in medical image analysis
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Structural effects on the magnetic hyperthermia properties of iron oxide nanoparticles
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An embedded boundary method for elliptic and parabolic problems with interfaces and application to multi-material systems with phase transitions
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Neo-adjuvant chemotherapy alone or with regional hyperthermia for localised high-risk soft-tissue sarcoma: a randomised phase 3 multicentre study
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Numerical Temperature Analysis of Magnetic Hyperthermia Considering Nanoparticle Clustering and Blood Vessels
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A Unified Field Approach for Heat Conduction From Macro- to Micro-Scales
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Heat Transfer to Blood Vessels
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Theory and Experiment for the Effect of Vascular Microstructure on Surface Tissue Heat Transfer—Part I: Anatomical Foundation and Model Conceptualization
inferredcites →https://doi.org/10.1115/1.3138533openalex-snapshot
A New Simplified Bioheat Equation for the Effect of Blood Flow on Local Average Tissue Temperature
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Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients
inferredcites →https://doi.org/10.1137/0731054openalex-snapshot
The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
inferredcites →https://doi.org/10.1137/s0036144596322507openalex-snapshot
Classroom Note:Calculation of Weights in Finite Difference Formulas
inferredcites →https://doi.org/10.1152/jappl.1948.1.2.93openalex-snapshot
Analysis of Tissue and Arterial Blood Temperatures in the Resting Human Forearm
inferredcites →https://doi.org/10.1152/jappl.1998.85.1.35openalex-snapshot
Pennes’ 1948 paper revisited
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AN OVERVIEW OF THE IMMERSED INTERFACE METHOD AND ITS APPLICATIONS
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On formulae for roots of cubic equation
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Solution of Cubic and Quartic Equations
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ALGORITHMS FOR THE REDUCTION OF THE NUMBER OF POINTS REQUIRED TO REPRESENT A DIGITIZED LINE OR ITS CARICATURE
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Hyperthermia Treatment as a Promising Anti-Cancer Strategy: Therapeutic Targets, Perspective Mechanisms and Synergistic Combinations in Experimental Approaches
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