Complex diseases involve multiple factors interacting across biological scales. Modeling techniques like multi-scale models, , and stochastic approaches help capture these complexities, providing insights into disease mechanisms and progression.
Network-based methods analyze relationships between diseases, symptoms, and biological components. These approaches reveal hidden connections, aiding in understanding comorbidities, predicting disease risks, and identifying potential drug targets for personalized treatments.
Mathematical Modeling Techniques
Multi-Scale and Agent-Based Models
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Frontiers | Multiscale Modeling of Bone Healing: Toward a Systems Biology Approach View original
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Predicting the impact of combined therapies on myeloma cell growth using a hybrid multi-scale ... View original
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Frontiers | Agent-Based Models Predict Emergent Behavior of Heterogeneous Cell Populations in ... View original
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Frontiers | Multiscale Modeling of Bone Healing: Toward a Systems Biology Approach View original
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Top images from around the web for Multi-Scale and Agent-Based Models
Frontiers | Multiscale Modeling of Bone Healing: Toward a Systems Biology Approach View original
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Predicting the impact of combined therapies on myeloma cell growth using a hybrid multi-scale ... View original
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Frontiers | Agent-Based Models Predict Emergent Behavior of Heterogeneous Cell Populations in ... View original
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Frontiers | Multiscale Modeling of Bone Healing: Toward a Systems Biology Approach View original
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Predicting the impact of combined therapies on myeloma cell growth using a hybrid multi-scale ... View original
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integrates processes across different biological scales (molecular, cellular, tissue, organ, organism)
Allows comprehensive understanding of complex diseases by connecting microscopic and macroscopic phenomena
Agent-based models simulate interactions between individual entities (cells, organisms) to study emergent behaviors
Useful for modeling heterogeneous populations and spatial dynamics in disease spread (epidemics)
Can incorporate decision-making processes and environmental factors affecting
Differential Equations in Disease Modeling
Ordinary differential equations (ODEs) describe changes in variables over time
Used to model disease dynamics, population growth, and drug concentrations
Example: SIR model for infectious diseases uses ODEs to track susceptible, infected, and recovered populations
Partial differential equations (PDEs) incorporate both time and space variables
PDEs model spatial spread of diseases, tumor growth patterns, and drug diffusion in tissues
Allow for more detailed representations of complex biological systems
Stochastic Models for Biological Variability
incorporate random elements to account for biological variability and uncertainty
Capture fluctuations in disease progression, treatment responses, and population dynamics
Markov chain models represent disease states and transitions between them probabilistically
Monte Carlo simulations generate multiple outcomes to assess risk and predict disease trajectories
Useful for rare events, small populations, and systems with inherent randomness
Network-Based Approaches
Comorbidity Networks and Disease Associations
represent relationships between co-occurring diseases