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Computer Simulation of Tumour Response to Therapy: Mathematical Modeling and Prediction

Explore the advancement in mathematically simulating tumor growth and response to therapy. Discover how organizations like In silico Oncology work in this field, and learn about tumor progression, simulation techniques, and predictive modeling. This innovative approach involves spatial communication between cells, tumor expansion, shrinkage simulation, and virtual 3D tumor reconstructions based on imaging data. From mechanical considerations to radiotherapy modeling, understand how mathematical analysis, discrete mathematics, and probability theory contribute to predicting tumor behavior and optimizing therapeutic strategies.

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Computer Simulation of Tumour Response to Therapy: Mathematical Modeling and Prediction

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  1. Computer Simulation ofTumour Response to therapy

  2. Introduction

  3. Introduction • Efforts have been made in mathematically simulating tumour growth and response to various therapeutic schemes. • Mathematical analysis and discrete mathematics (theory of algorithms, graph theory, cellular automata, finite state machines, etc.) along with probability theory have played central roles in this process.

  4. Organizations Although This field is new, there are already organizations working in this field. EG: In silico oncology http://www.in-silico-oncology.iccs.ntua.gr/

  5. Identification and mapping

  6. Tumour growth simulation

  7. Tumour progression • Two major forms of tumour progression can be distinguished: avascular (or prevascular) and neovascularized tumour growth.

  8. The Cancer “Story” • The tumour spheroid formation starts with the placement of a single tumour cell at the stage of mitosis • Spatial communication between cells at any angular direction is possible. • The cell lysis and apoptosis products are gradually diffused towards the outer environment of the tumour.

  9. Simulation simplified • Tumour expansion is achieved computationally by shifting a cell chain from the newly occupied cubic element towards the external environment of the tumour in a random direction • Tumour shrinkage is simulated by shifting a cell chain from the external environment of the tumour towards the cell that has to disappear in a direction defined by the cell.

  10. How • A virtual 3D tumour reconstruction based on appropriate combinations of tomographic data collected through T1-weighted gadolinium-enhanced computerized tomography (CT), positron emission tomography (PET), etc. takes place before running the actual simulation.

  11. How • Mechanical considerations, such as the boundary conditions imposed by the skull in the case of brain tumours, are made. • All other information such as biopsy full details are also included in the model

  12. Radiotherapy modeling

  13. Prediction EXERCISE

  14. Predict how will the tumor grow

  15. Predict how will the tumor grow

  16. Predict how will the tumor grow

  17. Predict how will the tumor grow

  18. THANK YOU! Questions?!

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