Training Workshop on Diffusive Processes in Physiological Media
Description
This workshop will utilise the formal mathematical procedure of homogenisation to produce numerically solvable time-dependent reaction-diffusion equations . These models will simulate the coupling of cells in tissues and allow an investigation into how the complexity of the micro-scale cellular function affects the macro-scale wave patterns. The workshop will assume no prior knowledge of the modelling of cells or homogenisation but will provide the student with a grounding of how cellular processes can be treated in a partial differential fashion. Problems will be set for the trainees and it is expected that they will be able to solve relatively basic problems of coupled cells which have a simple function.
Please register online here.
Schedule
| 09:30 to 10:30 | 
           Introduction to homogenization 
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| 10:30 to 11:00 | 
           Coffee break 
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| 11:00 to 12:00 | 
           Introduction to homogenization 
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| 12:00 to 14:00 | 
           Lunch break 
                             | 
      
| 14:00 to 15:00 | 
           Examples of discrete and continuous models 
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| 15:00 to 15:30 | 
           Coffee break 
                             | 
      
| 15:30 to 16:30 | 
           Examples of discrete and continuous models 
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| 09:30 to 10:30 | 
           Homogenisation in 1D 
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| 10:30 to 11:00 | 
           Coffee break 
                             | 
      
| 11:00 to 12:00 | 
           Homogenisation in 1D 
                             | 
      
| 12:00 to 14:00 | 
           Lunch break 
                             | 
      
| 14:00 to 15:00 | 
           Multiple species 
                             | 
      
| 15:00 to 15:30 | 
           Coffee break 
                             | 
      
| 15:30 to 16:30 | 
           Multiple species 
                             | 
      
| 09:30 to 10:30 | 
           Homogenisation in multiple co-ords 
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| 10:30 to 11:00 | 
           Coffee break 
                             | 
      
| 11:00 to 12:00 | 
           Electrodiffusion 
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| 12:00 to 14:00 | 
           Lunch break 
                             | 
      
| 14:00 to 15:00 | 
           Examples Class  
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| 15:00 to 15:30 | 
           Coffee break 
                             | 
      
| 15:30 to 16:30 | 
           Examples Class  
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| 18:00 to 20:00 | 
           Dinner (Location: Via Mercanti, 87 Elm Street, Toronto, ON) 
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| 09:30 to 10:30 | 
           Evaluation of Diffusion Coefficients 
                             | 
      
| 10:30 to 11:00 | 
           Coffee break 
                             | 
      
| 11:00 to 12:00 | 
           Evaluation of Diffusion Coefficients 
                             | 
      
| 12:00 to 14:00 | 
           Lunch break 
                             | 
      
| 14:00 to 15:00 | 
           Spatial variation of bifurcation parameters 
                             | 
      
| 15:00 to 15:30 | 
           Coffee break 
                             | 
      
| 15:30 to 16:30 | 
           Spatial variation of bifurcation parameters 
                             | 
      
| 09:30 to 10:30 | 
           Examples class 
                             | 
      
| 10:30 to 11:00 | 
           Coffee break 
                             | 
      
| 11:00 to 12:00 | 
           Examples class, summary 
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