
Algebraic and Numeric Biology
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Content
- Title
- Preface
- Conference Organization
- Table of Contents
- P$_0$-Matrix Products of Matrices
- Introduction
- Some Properties of P-Type Matrices
- The Main Question
- Notation and Definitions
- Main Results
- Preliminary Results
- Qualitative Classes and Related Ideas
- Compatibility of all Matrices in a Qualitative Class
- Compatibility of a Matrix with its Qualitative Class
- Matrices with Diagonal Factors
- Discussion and Conclusions
- References
- A Formal Model for Databases in DNA
- Introduction
- Related Work
- The Sticker-Complex Data Model
- Operations on Complexes
- Data Representation
- Implementation in DNA
- DNAQL
- Simulation of the Relational Algebra
- Concluding Remarks
- References
- Efficient and Accurate Haplotype Inference by Combining Parsimony and Pedigree Information
- Introduction
- Haplotype Inference
- Minimum Recombinant Haplotype Configuration
- Haplotype Inference by Pure Parsimony
- The PedRPoly Model
- Improving Efficiency
- Lower Bounds
- Sorting Genotypes
- Symmetries
- Experimental Evaluation
- Efficiency
- Accuracy
- Conclusions
- References
- MABSys: Modeling and Analysis of Biological Systems
- Introduction
- Related Works
- Main Structure of MABSys
- Description of Biochemical Reaction Networks
- Modeling by Means of ODEs
- Exact Symbolic Simplifications
- Qualitative Analysis
- Tyson's Negative Feedback Oscillator
- Symbolic Simplification
- Discussion
- Installation of MABSys
- Conclusion and Perspectives
- References
- Models of Stochastic Gene Expression and Weyl Algebra
- Introduction
- The Classical Theory
- Chemical Reactions Systems
- Stochastic Petri Nets
- Markov Chain of the Temporisation and Master Equation
- The Schrödinger Equation Analog
- Reformulation in the Weyl Algebra
- The Algorithm
- Model Reduction, Model Restriction and Conservation Laws
- Model Reduction
- Model Restriction
- A Combined Formula for Differentiating and Evaluating
- Order of a Chemical Reaction System
- Examples
- First Order Systems
- Second Order Systems
- Conclusion
- References
- Reconciling Competing Models: A Case Study of Wine Fermentation Kinetics
- Introduction
- Methods
- Results
- Conclusions and Discussion
- References
- Computational Modeling and Verification of Signaling Pathways in Cancer
- Introduction
- Statistical Model Checking
- Bounded Linear Temporal Logic
- Bayesian Statistical Model Checking
- Crosstalk Model of HMGB1
- Motivations
- Model Formulation
- Simulation Models
- Simulation Results
- Verification of the HMBG1 Pathway
- Discussion
- References
- Composability: Perspectives in Ecological Modeling
- Introduction
- The BlenX Language
- Composability as a Modeling Aid
- Composability and Language Design
- Discussion
- References
- A General Procedure for Accurate Parameter Estimation in Dynamic Systems Using New Estimation Errors
- Introduction
- Procedure
- Overview of Present Procedure
- Example
- Differential Elimination
- Simplification
- Introduction of Constraints
- Optimization Algorithm
- Results
- Discussion
- References
- Analyzing Pathways Using ASP-Based Approaches
- Introduction
- Answer Set Programming
- Symbolic Systems Biology
- Reaction Networks
- Equilibrium States
- Maximal Solutions
- Preferred Solutions
- ASP Computation of Maximal and Preferred Solutions
- Related Work
- Conclusion
- References
- Author Index
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