Dr. Karthik Raman is an Associate Professor at the Department of Biotechnology, Bhupat & Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras. He co-founded and co-ordinates the Initiative for Biological Systems Engineering and is a core member of the Robert Bosch Centre for Data Science and Artificial Intelligence (RBCDSAI). He has been a researcher in the area of systems biology for the last 15+ years and has been teaching a course on systems biology for the last eight years, to (mostly) engineers from different backgrounds. His lab works on computational approaches to understand and manipulate biological networks, with applications in metabolic engineering and synthetic biology.

This is a very comprehensive read that provides a solid base in computational biology. The book is structured in 4 parts and 14 chapters which cover all the way from the more basic concepts to advanced material, including the state-of-the-art methodologies in synthetic and systems biology. This is a bedside book for those researchers embarking to do investigation in computational biology and a great office companion for anyone working on systems and synthetic biology.-- Rodrigo Ledesma Amaro, Lecturer, Imperial College London This is a fantastic book. It offers an elegant introduction to both classical and modern concepts in computational biology. To the uninitiated, it is a terrific first read, bringing alive the glory of the past and the promise of the future. To the interested, it handholds and offers a springboard to dive deep. To the practitioner, it serves as a valuable resource bringing together in a panoramic view many diverse streams that adorn the landscape.-- Narendra M. Dixit, Professor, Indian Institute of Science

• PrefaceIntroduction to modelling 1.1 WHAT IS MODELLING? 1.1.1 What are models? 1.2 WHYBUILD MODELS? 1.2.1 Why model biological systems? 1.2.2 Why systems biology? 1.3 CHALLENGES IN MODELLING BIOLOGICAL SYSTEMS 1.4 THE PRACTICE OF MODELLING 1.4.1 Scope of the model1.4.2 Making assumptions 1.4.3 Modelling paradigms 1.4.4 Building the model 1.4.5 Model analysis, debugging and (in)validation 1.4.6 Simulating the model 1.5 EXAMPLES OF MODELS 1.5.1 Lotka–Volterra predator–prey model 1.5.2 SIR model: a classic example 1.6 TROUBLESHOOTING 1.6.1 Clarity of scope and objectives 1.6.2 The breakdown of assumptions 1.6.3 Ismy model fit for purpose? 1.6.4 Handling uncertainties EXERCISES REFERENCES FURTHER READING Introduction to graph theory 2.1 BASICS 2.1.1 History of graph theory 2.1.2 Examples of graphs 2.2 WHYGRAPHS? 2.3 TYPES OF GRAPHS 2.3.1 Simple vs. non-simple graphs 2.3.2 Directed vs. undirected graphs 2.3.3 Weighted vs. unweighted graphs 2.3.4 Other graph types 2.3.5 Hypergraphs 2.4 COMPUTATIONAL REPRESENTATIONS OF GRAPHS 2.4.1 Data structures 2.4.2 Adjacency matrix 2.4.3 The laplacian matrix 2.5 GRAPH REPRESENTATIONS OF BIOLOGICAL NETWORKS 2.5.1 Networks of protein interactions and functional associations2.5.2 Signalling networks 2.5.3 Protein structure networks 2.5.4 Gene regulatory networks 2.5.5 Metabolic networks 2.6 COMMONCHALLENGES&TROUBLESHOOTING 2.6.1 Choosing a representation 2.6.2 Loading and creating graphs 2.7 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Structure of networks 3.1 NETWORK PARAMETERS 3.1.1 Fundamental parameters 3.1.2 Measures of centrality 3.1.3 Mixing patterns: assortativity 3.2 CANONICAL NETWORK MODELS 3.2.1 Erdos–Rényi (ER) network model 3.2.2 Small-world networks 3.2.3 Scale-free networks 3.2.4 Other models of network generation 3.3 COMMUNITY DETECTION 3.3.1 Modularity maximisation 3.3.2 Similarity-based clustering 3.3.3 Girvan–Newman algorithm 3.3.4 Other methods 3.3.5 Community detection in biological networks 3.4 NETWORKMOTIFS 3.4.1 Randomising networks 3.5 PERTURBATIONS TO NETWORKS 3.5.1 Quantifying e□fects of perturbation 3.5.2 Network structure and attack strategies 3.6 TROUBLESHOOTING 3.6.1 Is your network really scale-free? 3.7 SOFTWARE TOOLS EXERCISES REFERENCESFURTHER READING Applications of network biology 4.1 THE CENTRALITY–LETHALITY HYPOTHESIS 4.1.1 Predicting essential genes fromnetworks 4.2 NETWORKS AND MODULES IN DISEASE 4.2.1 Disease networks 4.2.2 Identification of disease modules 4.2.3 Edgetic perturbation models 4.3 DIFFERENTIAL NETWORK ANALYSIS 4.4 DISEASE SPREADING ON NETWORKS 4.4.1 Percolation-based models 4.4.2 Agent-based simulations 4.5 MOLECULAR GRAPHS AND THEIR APPLICATIONS 4.5.1 Retrosynthesis 4.6 PROTEIN STRUCTURE, ENERGY & CONFORMATIONAL NETWORKS4.6.1 Protein folding pathways 4.7 LINK PREDICTION EXERCISES REFERENCES FURTHER READING Introduction to dynamic modelling5.1 CONSTRUCTING DYNAMIC MODELS 5.1.1 Modelling a generic biochemical system 5.2 MASS-ACTION KINETIC MODELS 5.3 MODELLING ENZYME KINETICS 5.3.1 The Michaelis–Menten model 5.3.2 Extending the Michaelis–Menten model 5.3.3 Limitations of Michaelis–Menten models 5.3.4 Co-operativity: Hill kinetics 5.3.5 An illustrative example: a three-node oscillator 5.4 GENERALISED RATE EQUATIONS 5.4.1 Biochemical systems theory 5.5 SOLVING ODES 5.6 TROUBLESHOOTING 5.6.1 Handing sti□f equations 5.6.2 Handling uncertainty 5.7 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Parameter estimation 6.1 DATA-DRIVEN MECHANISTIC MODELLING: AN OVERVIEW 6.1.1 Pre-processing the data 6.1.2 Model identification 6.2 SETTING UP AN OPTIMISATION PROBLEM 6.2.1 Linear regression 6.2.2 Least squares 6.2.3 Maximumlikelihood estimation 6.3 ALGORITHMS FOR OPTIMISATION 6.3.1 Desiderata 6.3.2 Gradient-based methods 6.3.3 Direct search methods 6.3.4 Evolutionary algorithms 6.4 POST-REGRESSION DIAGNOSTICS 6.4.1 Model selection 6.4.2 Sensitivity and robustness of biological models 6.5 TROUBLESHOOTING 6.5.1 Regularisation 6.5.2 Sloppiness 6.5.3 Choosing a search algorithm 6.5.4 Model reduction 6.5.5 The curse of dimensionality 6.6 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Discrete dynamic models: Boolean networks 7.1 INTRODUCTION 7.2 BOOLEAN NETWORKS: TRANSFER FUNCTIONS 7.2.1 Characterising Boolean network dynamics 7.2.2 Synchronous vs. asynchronous updates 7.3 OTHER PARADIGMS 7.3.1 Probabilistic Boolean networks 7.3.2 Logical interaction hypergraphs 7.3.3 Generalised logical networks 7.3.4 Petri nets 7.4 APPLICATIONS 7.5 TROUBLESHOOTING 7.6 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Introduction to constraint-based modelling 8.1 WHAT ARE CONSTRAINTS? 8.1.1 Types of constraints 8.1.2 Mathematical representation of constraints 8.1.3 Why are constraints useful? 8.2 THE STOICHIOMETRICMATRIX 8.3 STEADY-STATEMASSBALANCE:FLUXBALANCEANALYSIS (FBA)8.4 THE OBJECTIVE FUNCTION 8.4.1 The biomass objective function 8.5 OPTIMISATION TO COMPUTE FLUX DISTRIBUTION 8.6 AN ILLUSTRATION 8.7 FLUX VARIABILITY ANALYSIS (FVA) 8.8 UNDERSTANDING FBA 8.8.1 Blocked reactions and dead-end metabolites 8.8.2 Gaps in metabolic networks 8.8.3 Multiple solutions8.8.4 Loops 8.8.5 Parsimonious FBA (pFBA) 8.8.6 ATP maintenance fluxes 8.9 TROUBLESHOOTING 8.9.1 Zero growth rate 8.9.2 Objective values vs. flux values 8.10 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Extending constraint-based approaches 9.1 MINIMISATION OF METABOLIC ADJUSTMENT (MOMA) 9.1.1 Fitting experimentally measured fluxes 9.2 REGULATORY ON-OFF MINIMISATION (ROOM) 9.2.1 ROOMvs.MoMA 9.3 BI-LEVEL OPTIMISATIONS 9.3.1 OptKnock9.4 INTEGRATING REGULATORY INFORMATION 9.4.1 Embedding regulatory logic: regulatory FBA (rFBA) 9.4.2 Informing metabolic models with omic data 9.4.3 Tissue-specific models 9.5 COMPARTMENTALISED MODELS 9.6 DYNAMIC FLUX BALANCE ANALYSIS (dFBA) 9.7 13C-MFA 9.8 ELEMENTARY FLUX MODES AND EXTREME PATHWAYS 9.8.1 Computing EFMs and EPs 9.8.2 Applications EXERCISES REFERENCES FURTHER READINGPerturbations to metabolic networks10.1 KNOCK-OUTS 10.1.1 Gene deletions vs. reaction deletions 10.2 SYNTHETIC LETHALS 10.2.1 Exhaustive enumeration 10.2.2 Bi-level optimisation 10.2.3 Fast-SL: massively pruning the search space 10.3 OVER-EXPRESSION 10.3.1 Flux Scanning based on Enforced Objective Flux (FSEOF) 10.4 OTHER PERTURBATIONS 10.5 EVALUATING AND RANKING PERTURBATIONS 10.6 APPLICATIONS OF CONSTRAINT-BASED MODELS 10.6.1 Metabolic engineering 10.6.2 Drug target identification 10.7 LIMITATIONS OF CONSTRAINT-BASED APPROACHES 10.7.1 Scope of genome-scale metabolic models 10.7.2 Incorrect predictions 10.8 TROUBLESHOOTING10.8.1 Interpreting gene deletion simulations 10.9 SOFTWARE TOOLSEXERCISES REFERENCES FURTHER READING Modelling cellular interactions 11.1 MICROBIAL COMMUNITIES 11.1.1 Network-based approaches 11.1.2 Population-based and agent-based approaches 11.1.3 Constraint-based approaches 11.2 HOST–PATHOGEN INTERACTIONS (HPIs) 11.2.1 Network models 11.2.2 Dynamic models 11.2.3 Constraint-based models 11.3 SUMMARY11.4 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Designing biological circuits 12.1 WHAT IS SYNTHETIC BIOLOGY? 12.2 FROMLEGO BRICKS TO BIOBRICKS 12.3 CLASSIC CIRCUIT DESIGN EXPERIMENTS 12.3.1 Designing an oscillator: the repressilator 12.3.2 Toggle switch 12.4 DESIGNING MODULES 12.4.1 Exploring the design space 12.4.2 Systems-theoretic approaches 12.4.3 Automating circuit design 12.5 DESIGN PRINCIPLES OF BIOLOGICAL NETWORKS 12.5.1 Redundancy 12.5.2 Modularity 12.5.3 Exaptation 12.5.4 Robustness 12.6 COMPUTING WITH CELLS 12.6.1 Adleman’s classic experiment 12.6.2 Examples of circuits that can compute 12.6.3 DNA data storage 12.7 CHALLENGES 12.8 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Robustness and evolvability of biological systems 13.1 ROBUSTNESS IN BIOLOGICAL SYSTEMS 13.1.1 Key mechanisms 13.1.2 Hierarchies and protocols 13.1.3 Organising principles 13.2 GENOTYPE SPACES AND GENOTYPE NETWORKS 13.2.1 Genotype spaces 13.2.2 Genotype–phenotype mapping 13.3 QUANTIFYING ROBUSTNESS AND EVOLVABILITY 13.4 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Epilogue: The Road Ahead Index 325

Dr. Karthik Raman is an Associate Professor at the Department of Biotechnology, Bhupat & Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras. He co-founded and co-ordinates the Initiative for Biological Systems Engineering and is a core member of the Robert Bosch Centre for Data Science and Artificial Intelligence (RBCDSAI). He has been a researcher in the area of systems biology for the last 15+ years and has been teaching a course on systems biology for the last eight years, to (mostly) engineers from different backgrounds. His lab works on computational approaches to understand and manipulate biological networks, with applications in metabolic engineering and synthetic biology.

This is a very comprehensive read that provides a solid base in computational biology. The book is structured in 4 parts and 14 chapters which cover all the way from the more basic concepts to advanced material, including the state-of-the-art methodologies in synthetic and systems biology. This is a bedside book for those researchers embarking to do investigation in computational biology and a great office companion for anyone working on systems and synthetic biology.-- Rodrigo Ledesma Amaro, Lecturer, Imperial College London This is a fantastic book. It offers an elegant introduction to both classical and modern concepts in computational biology. To the uninitiated, it is a terrific first read, bringing alive the glory of the past and the promise of the future. To the interested, it handholds and offers a springboard to dive deep. To the practitioner, it serves as a valuable resource bringing together in a panoramic view many diverse streams that adorn the landscape.-- Narendra M. Dixit, Professor, Indian Institute of Science

• PrefaceIntroduction to modelling 1.1 WHAT IS MODELLING? 1.1.1 What are models? 1.2 WHYBUILD MODELS? 1.2.1 Why model biological systems? 1.2.2 Why systems biology? 1.3 CHALLENGES IN MODELLING BIOLOGICAL SYSTEMS 1.4 THE PRACTICE OF MODELLING 1.4.1 Scope of the model1.4.2 Making assumptions 1.4.3 Modelling paradigms 1.4.4 Building the model 1.4.5 Model analysis, debugging and (in)validation 1.4.6 Simulating the model 1.5 EXAMPLES OF MODELS 1.5.1 Lotka–Volterra predator–prey model 1.5.2 SIR model: a classic example 1.6 TROUBLESHOOTING 1.6.1 Clarity of scope and objectives 1.6.2 The breakdown of assumptions 1.6.3 Ismy model fit for purpose? 1.6.4 Handling uncertainties EXERCISES REFERENCES FURTHER READING Introduction to graph theory 2.1 BASICS 2.1.1 History of graph theory 2.1.2 Examples of graphs 2.2 WHYGRAPHS? 2.3 TYPES OF GRAPHS 2.3.1 Simple vs. non-simple graphs 2.3.2 Directed vs. undirected graphs 2.3.3 Weighted vs. unweighted graphs 2.3.4 Other graph types 2.3.5 Hypergraphs 2.4 COMPUTATIONAL REPRESENTATIONS OF GRAPHS 2.4.1 Data structures 2.4.2 Adjacency matrix 2.4.3 The laplacian matrix 2.5 GRAPH REPRESENTATIONS OF BIOLOGICAL NETWORKS 2.5.1 Networks of protein interactions and functional associations2.5.2 Signalling networks 2.5.3 Protein structure networks 2.5.4 Gene regulatory networks 2.5.5 Metabolic networks 2.6 COMMONCHALLENGES&TROUBLESHOOTING 2.6.1 Choosing a representation 2.6.2 Loading and creating graphs 2.7 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Structure of networks 3.1 NETWORK PARAMETERS 3.1.1 Fundamental parameters 3.1.2 Measures of centrality 3.1.3 Mixing patterns: assortativity 3.2 CANONICAL NETWORK MODELS 3.2.1 Erdos–Rényi (ER) network model 3.2.2 Small-world networks 3.2.3 Scale-free networks 3.2.4 Other models of network generation 3.3 COMMUNITY DETECTION 3.3.1 Modularity maximisation 3.3.2 Similarity-based clustering 3.3.3 Girvan–Newman algorithm 3.3.4 Other methods 3.3.5 Community detection in biological networks 3.4 NETWORKMOTIFS 3.4.1 Randomising networks 3.5 PERTURBATIONS TO NETWORKS 3.5.1 Quantifying e□fects of perturbation 3.5.2 Network structure and attack strategies 3.6 TROUBLESHOOTING 3.6.1 Is your network really scale-free? 3.7 SOFTWARE TOOLS EXERCISES REFERENCESFURTHER READING Applications of network biology 4.1 THE CENTRALITY–LETHALITY HYPOTHESIS 4.1.1 Predicting essential genes fromnetworks 4.2 NETWORKS AND MODULES IN DISEASE 4.2.1 Disease networks 4.2.2 Identification of disease modules 4.2.3 Edgetic perturbation models 4.3 DIFFERENTIAL NETWORK ANALYSIS 4.4 DISEASE SPREADING ON NETWORKS 4.4.1 Percolation-based models 4.4.2 Agent-based simulations 4.5 MOLECULAR GRAPHS AND THEIR APPLICATIONS 4.5.1 Retrosynthesis 4.6 PROTEIN STRUCTURE, ENERGY & CONFORMATIONAL NETWORKS4.6.1 Protein folding pathways 4.7 LINK PREDICTION EXERCISES REFERENCES FURTHER READING Introduction to dynamic modelling5.1 CONSTRUCTING DYNAMIC MODELS 5.1.1 Modelling a generic biochemical system 5.2 MASS-ACTION KINETIC MODELS 5.3 MODELLING ENZYME KINETICS 5.3.1 The Michaelis–Menten model 5.3.2 Extending the Michaelis–Menten model 5.3.3 Limitations of Michaelis–Menten models 5.3.4 Co-operativity: Hill kinetics 5.3.5 An illustrative example: a three-node oscillator 5.4 GENERALISED RATE EQUATIONS 5.4.1 Biochemical systems theory 5.5 SOLVING ODES 5.6 TROUBLESHOOTING 5.6.1 Handing sti□f equations 5.6.2 Handling uncertainty 5.7 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Parameter estimation 6.1 DATA-DRIVEN MECHANISTIC MODELLING: AN OVERVIEW 6.1.1 Pre-processing the data 6.1.2 Model identification 6.2 SETTING UP AN OPTIMISATION PROBLEM 6.2.1 Linear regression 6.2.2 Least squares 6.2.3 Maximumlikelihood estimation 6.3 ALGORITHMS FOR OPTIMISATION 6.3.1 Desiderata 6.3.2 Gradient-based methods 6.3.3 Direct search methods 6.3.4 Evolutionary algorithms 6.4 POST-REGRESSION DIAGNOSTICS 6.4.1 Model selection 6.4.2 Sensitivity and robustness of biological models 6.5 TROUBLESHOOTING 6.5.1 Regularisation 6.5.2 Sloppiness 6.5.3 Choosing a search algorithm 6.5.4 Model reduction 6.5.5 The curse of dimensionality 6.6 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Discrete dynamic models: Boolean networks 7.1 INTRODUCTION 7.2 BOOLEAN NETWORKS: TRANSFER FUNCTIONS 7.2.1 Characterising Boolean network dynamics 7.2.2 Synchronous vs. asynchronous updates 7.3 OTHER PARADIGMS 7.3.1 Probabilistic Boolean networks 7.3.2 Logical interaction hypergraphs 7.3.3 Generalised logical networks 7.3.4 Petri nets 7.4 APPLICATIONS 7.5 TROUBLESHOOTING 7.6 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Introduction to constraint-based modelling 8.1 WHAT ARE CONSTRAINTS? 8.1.1 Types of constraints 8.1.2 Mathematical representation of constraints 8.1.3 Why are constraints useful? 8.2 THE STOICHIOMETRICMATRIX 8.3 STEADY-STATEMASSBALANCE:FLUXBALANCEANALYSIS (FBA)8.4 THE OBJECTIVE FUNCTION 8.4.1 The biomass objective function 8.5 OPTIMISATION TO COMPUTE FLUX DISTRIBUTION 8.6 AN ILLUSTRATION 8.7 FLUX VARIABILITY ANALYSIS (FVA) 8.8 UNDERSTANDING FBA 8.8.1 Blocked reactions and dead-end metabolites 8.8.2 Gaps in metabolic networks 8.8.3 Multiple solutions8.8.4 Loops 8.8.5 Parsimonious FBA (pFBA) 8.8.6 ATP maintenance fluxes 8.9 TROUBLESHOOTING 8.9.1 Zero growth rate 8.9.2 Objective values vs. flux values 8.10 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Extending constraint-based approaches 9.1 MINIMISATION OF METABOLIC ADJUSTMENT (MOMA) 9.1.1 Fitting experimentally measured fluxes 9.2 REGULATORY ON-OFF MINIMISATION (ROOM) 9.2.1 ROOMvs.MoMA 9.3 BI-LEVEL OPTIMISATIONS 9.3.1 OptKnock9.4 INTEGRATING REGULATORY INFORMATION 9.4.1 Embedding regulatory logic: regulatory FBA (rFBA) 9.4.2 Informing metabolic models with omic data 9.4.3 Tissue-specific models 9.5 COMPARTMENTALISED MODELS 9.6 DYNAMIC FLUX BALANCE ANALYSIS (dFBA) 9.7 13C-MFA 9.8 ELEMENTARY FLUX MODES AND EXTREME PATHWAYS 9.8.1 Computing EFMs and EPs 9.8.2 Applications EXERCISES REFERENCES FURTHER READINGPerturbations to metabolic networks10.1 KNOCK-OUTS 10.1.1 Gene deletions vs. reaction deletions 10.2 SYNTHETIC LETHALS 10.2.1 Exhaustive enumeration 10.2.2 Bi-level optimisation 10.2.3 Fast-SL: massively pruning the search space 10.3 OVER-EXPRESSION 10.3.1 Flux Scanning based on Enforced Objective Flux (FSEOF) 10.4 OTHER PERTURBATIONS 10.5 EVALUATING AND RANKING PERTURBATIONS 10.6 APPLICATIONS OF CONSTRAINT-BASED MODELS 10.6.1 Metabolic engineering 10.6.2 Drug target identification 10.7 LIMITATIONS OF CONSTRAINT-BASED APPROACHES 10.7.1 Scope of genome-scale metabolic models 10.7.2 Incorrect predictions 10.8 TROUBLESHOOTING10.8.1 Interpreting gene deletion simulations 10.9 SOFTWARE TOOLSEXERCISES REFERENCES FURTHER READING Modelling cellular interactions 11.1 MICROBIAL COMMUNITIES 11.1.1 Network-based approaches 11.1.2 Population-based and agent-based approaches 11.1.3 Constraint-based approaches 11.2 HOST–PATHOGEN INTERACTIONS (HPIs) 11.2.1 Network models 11.2.2 Dynamic models 11.2.3 Constraint-based models 11.3 SUMMARY11.4 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Designing biological circuits 12.1 WHAT IS SYNTHETIC BIOLOGY? 12.2 FROMLEGO BRICKS TO BIOBRICKS 12.3 CLASSIC CIRCUIT DESIGN EXPERIMENTS 12.3.1 Designing an oscillator: the repressilator 12.3.2 Toggle switch 12.4 DESIGNING MODULES 12.4.1 Exploring the design space 12.4.2 Systems-theoretic approaches 12.4.3 Automating circuit design 12.5 DESIGN PRINCIPLES OF BIOLOGICAL NETWORKS 12.5.1 Redundancy 12.5.2 Modularity 12.5.3 Exaptation 12.5.4 Robustness 12.6 COMPUTING WITH CELLS 12.6.1 Adleman’s classic experiment 12.6.2 Examples of circuits that can compute 12.6.3 DNA data storage 12.7 CHALLENGES 12.8 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Robustness and evolvability of biological systems 13.1 ROBUSTNESS IN BIOLOGICAL SYSTEMS 13.1.1 Key mechanisms 13.1.2 Hierarchies and protocols 13.1.3 Organising principles 13.2 GENOTYPE SPACES AND GENOTYPE NETWORKS 13.2.1 Genotype spaces 13.2.2 Genotype–phenotype mapping 13.3 QUANTIFYING ROBUSTNESS AND EVOLVABILITY 13.4 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Epilogue: The Road Ahead Index 325

Dr. Karthik Raman is an Associate Professor at the Department of Biotechnology, Bhupat & Jyoti Mehta School of Biosciences, Indian Institute of Technology Madras. He co-founded and co-ordinates the Initiative for Biological Systems Engineering and is a core member of the Robert Bosch Centre for Data Science and Artificial Intelligence (RBCDSAI). He has been a researcher in the area of systems biology for the last 15+ years and has been teaching a course on systems biology for the last eight years, to (mostly) engineers from different backgrounds. His lab works on computational approaches to understand and manipulate biological networks, with applications in metabolic engineering and synthetic biology.

This is a very comprehensive read that provides a solid base in computational biology. The book is structured in 4 parts and 14 chapters which cover all the way from the more basic concepts to advanced material, including the state-of-the-art methodologies in synthetic and systems biology. This is a bedside book for those researchers embarking to do investigation in computational biology and a great office companion for anyone working on systems and synthetic biology.-- Rodrigo Ledesma Amaro, Lecturer, Imperial College London This is a fantastic book. It offers an elegant introduction to both classical and modern concepts in computational biology. To the uninitiated, it is a terrific first read, bringing alive the glory of the past and the promise of the future. To the interested, it handholds and offers a springboard to dive deep. To the practitioner, it serves as a valuable resource bringing together in a panoramic view many diverse streams that adorn the landscape.-- Narendra M. Dixit, Professor, Indian Institute of Science

• PrefaceIntroduction to modelling 1.1 WHAT IS MODELLING? 1.1.1 What are models? 1.2 WHYBUILD MODELS? 1.2.1 Why model biological systems? 1.2.2 Why systems biology? 1.3 CHALLENGES IN MODELLING BIOLOGICAL SYSTEMS 1.4 THE PRACTICE OF MODELLING 1.4.1 Scope of the model1.4.2 Making assumptions 1.4.3 Modelling paradigms 1.4.4 Building the model 1.4.5 Model analysis, debugging and (in)validation 1.4.6 Simulating the model 1.5 EXAMPLES OF MODELS 1.5.1 Lotka–Volterra predator–prey model 1.5.2 SIR model: a classic example 1.6 TROUBLESHOOTING 1.6.1 Clarity of scope and objectives 1.6.2 The breakdown of assumptions 1.6.3 Ismy model fit for purpose? 1.6.4 Handling uncertainties EXERCISES REFERENCES FURTHER READING Introduction to graph theory 2.1 BASICS 2.1.1 History of graph theory 2.1.2 Examples of graphs 2.2 WHYGRAPHS? 2.3 TYPES OF GRAPHS 2.3.1 Simple vs. non-simple graphs 2.3.2 Directed vs. undirected graphs 2.3.3 Weighted vs. unweighted graphs 2.3.4 Other graph types 2.3.5 Hypergraphs 2.4 COMPUTATIONAL REPRESENTATIONS OF GRAPHS 2.4.1 Data structures 2.4.2 Adjacency matrix 2.4.3 The laplacian matrix 2.5 GRAPH REPRESENTATIONS OF BIOLOGICAL NETWORKS 2.5.1 Networks of protein interactions and functional associations2.5.2 Signalling networks 2.5.3 Protein structure networks 2.5.4 Gene regulatory networks 2.5.5 Metabolic networks 2.6 COMMONCHALLENGES&TROUBLESHOOTING 2.6.1 Choosing a representation 2.6.2 Loading and creating graphs 2.7 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Structure of networks 3.1 NETWORK PARAMETERS 3.1.1 Fundamental parameters 3.1.2 Measures of centrality 3.1.3 Mixing patterns: assortativity 3.2 CANONICAL NETWORK MODELS 3.2.1 Erdos–Rényi (ER) network model 3.2.2 Small-world networks 3.2.3 Scale-free networks 3.2.4 Other models of network generation 3.3 COMMUNITY DETECTION 3.3.1 Modularity maximisation 3.3.2 Similarity-based clustering 3.3.3 Girvan–Newman algorithm 3.3.4 Other methods 3.3.5 Community detection in biological networks 3.4 NETWORKMOTIFS 3.4.1 Randomising networks 3.5 PERTURBATIONS TO NETWORKS 3.5.1 Quantifying e□fects of perturbation 3.5.2 Network structure and attack strategies 3.6 TROUBLESHOOTING 3.6.1 Is your network really scale-free? 3.7 SOFTWARE TOOLS EXERCISES REFERENCESFURTHER READING Applications of network biology 4.1 THE CENTRALITY–LETHALITY HYPOTHESIS 4.1.1 Predicting essential genes fromnetworks 4.2 NETWORKS AND MODULES IN DISEASE 4.2.1 Disease networks 4.2.2 Identification of disease modules 4.2.3 Edgetic perturbation models 4.3 DIFFERENTIAL NETWORK ANALYSIS 4.4 DISEASE SPREADING ON NETWORKS 4.4.1 Percolation-based models 4.4.2 Agent-based simulations 4.5 MOLECULAR GRAPHS AND THEIR APPLICATIONS 4.5.1 Retrosynthesis 4.6 PROTEIN STRUCTURE, ENERGY & CONFORMATIONAL NETWORKS4.6.1 Protein folding pathways 4.7 LINK PREDICTION EXERCISES REFERENCES FURTHER READING Introduction to dynamic modelling5.1 CONSTRUCTING DYNAMIC MODELS 5.1.1 Modelling a generic biochemical system 5.2 MASS-ACTION KINETIC MODELS 5.3 MODELLING ENZYME KINETICS 5.3.1 The Michaelis–Menten model 5.3.2 Extending the Michaelis–Menten model 5.3.3 Limitations of Michaelis–Menten models 5.3.4 Co-operativity: Hill kinetics 5.3.5 An illustrative example: a three-node oscillator 5.4 GENERALISED RATE EQUATIONS 5.4.1 Biochemical systems theory 5.5 SOLVING ODES 5.6 TROUBLESHOOTING 5.6.1 Handing sti□f equations 5.6.2 Handling uncertainty 5.7 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Parameter estimation 6.1 DATA-DRIVEN MECHANISTIC MODELLING: AN OVERVIEW 6.1.1 Pre-processing the data 6.1.2 Model identification 6.2 SETTING UP AN OPTIMISATION PROBLEM 6.2.1 Linear regression 6.2.2 Least squares 6.2.3 Maximumlikelihood estimation 6.3 ALGORITHMS FOR OPTIMISATION 6.3.1 Desiderata 6.3.2 Gradient-based methods 6.3.3 Direct search methods 6.3.4 Evolutionary algorithms 6.4 POST-REGRESSION DIAGNOSTICS 6.4.1 Model selection 6.4.2 Sensitivity and robustness of biological models 6.5 TROUBLESHOOTING 6.5.1 Regularisation 6.5.2 Sloppiness 6.5.3 Choosing a search algorithm 6.5.4 Model reduction 6.5.5 The curse of dimensionality 6.6 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Discrete dynamic models: Boolean networks 7.1 INTRODUCTION 7.2 BOOLEAN NETWORKS: TRANSFER FUNCTIONS 7.2.1 Characterising Boolean network dynamics 7.2.2 Synchronous vs. asynchronous updates 7.3 OTHER PARADIGMS 7.3.1 Probabilistic Boolean networks 7.3.2 Logical interaction hypergraphs 7.3.3 Generalised logical networks 7.3.4 Petri nets 7.4 APPLICATIONS 7.5 TROUBLESHOOTING 7.6 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Introduction to constraint-based modelling 8.1 WHAT ARE CONSTRAINTS? 8.1.1 Types of constraints 8.1.2 Mathematical representation of constraints 8.1.3 Why are constraints useful? 8.2 THE STOICHIOMETRICMATRIX 8.3 STEADY-STATEMASSBALANCE:FLUXBALANCEANALYSIS (FBA)8.4 THE OBJECTIVE FUNCTION 8.4.1 The biomass objective function 8.5 OPTIMISATION TO COMPUTE FLUX DISTRIBUTION 8.6 AN ILLUSTRATION 8.7 FLUX VARIABILITY ANALYSIS (FVA) 8.8 UNDERSTANDING FBA 8.8.1 Blocked reactions and dead-end metabolites 8.8.2 Gaps in metabolic networks 8.8.3 Multiple solutions8.8.4 Loops 8.8.5 Parsimonious FBA (pFBA) 8.8.6 ATP maintenance fluxes 8.9 TROUBLESHOOTING 8.9.1 Zero growth rate 8.9.2 Objective values vs. flux values 8.10 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Extending constraint-based approaches 9.1 MINIMISATION OF METABOLIC ADJUSTMENT (MOMA) 9.1.1 Fitting experimentally measured fluxes 9.2 REGULATORY ON-OFF MINIMISATION (ROOM) 9.2.1 ROOMvs.MoMA 9.3 BI-LEVEL OPTIMISATIONS 9.3.1 OptKnock9.4 INTEGRATING REGULATORY INFORMATION 9.4.1 Embedding regulatory logic: regulatory FBA (rFBA) 9.4.2 Informing metabolic models with omic data 9.4.3 Tissue-specific models 9.5 COMPARTMENTALISED MODELS 9.6 DYNAMIC FLUX BALANCE ANALYSIS (dFBA) 9.7 13C-MFA 9.8 ELEMENTARY FLUX MODES AND EXTREME PATHWAYS 9.8.1 Computing EFMs and EPs 9.8.2 Applications EXERCISES REFERENCES FURTHER READINGPerturbations to metabolic networks10.1 KNOCK-OUTS 10.1.1 Gene deletions vs. reaction deletions 10.2 SYNTHETIC LETHALS 10.2.1 Exhaustive enumeration 10.2.2 Bi-level optimisation 10.2.3 Fast-SL: massively pruning the search space 10.3 OVER-EXPRESSION 10.3.1 Flux Scanning based on Enforced Objective Flux (FSEOF) 10.4 OTHER PERTURBATIONS 10.5 EVALUATING AND RANKING PERTURBATIONS 10.6 APPLICATIONS OF CONSTRAINT-BASED MODELS 10.6.1 Metabolic engineering 10.6.2 Drug target identification 10.7 LIMITATIONS OF CONSTRAINT-BASED APPROACHES 10.7.1 Scope of genome-scale metabolic models 10.7.2 Incorrect predictions 10.8 TROUBLESHOOTING10.8.1 Interpreting gene deletion simulations 10.9 SOFTWARE TOOLSEXERCISES REFERENCES FURTHER READING Modelling cellular interactions 11.1 MICROBIAL COMMUNITIES 11.1.1 Network-based approaches 11.1.2 Population-based and agent-based approaches 11.1.3 Constraint-based approaches 11.2 HOST–PATHOGEN INTERACTIONS (HPIs) 11.2.1 Network models 11.2.2 Dynamic models 11.2.3 Constraint-based models 11.3 SUMMARY11.4 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Designing biological circuits 12.1 WHAT IS SYNTHETIC BIOLOGY? 12.2 FROMLEGO BRICKS TO BIOBRICKS 12.3 CLASSIC CIRCUIT DESIGN EXPERIMENTS 12.3.1 Designing an oscillator: the repressilator 12.3.2 Toggle switch 12.4 DESIGNING MODULES 12.4.1 Exploring the design space 12.4.2 Systems-theoretic approaches 12.4.3 Automating circuit design 12.5 DESIGN PRINCIPLES OF BIOLOGICAL NETWORKS 12.5.1 Redundancy 12.5.2 Modularity 12.5.3 Exaptation 12.5.4 Robustness 12.6 COMPUTING WITH CELLS 12.6.1 Adleman’s classic experiment 12.6.2 Examples of circuits that can compute 12.6.3 DNA data storage 12.7 CHALLENGES 12.8 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Robustness and evolvability of biological systems 13.1 ROBUSTNESS IN BIOLOGICAL SYSTEMS 13.1.1 Key mechanisms 13.1.2 Hierarchies and protocols 13.1.3 Organising principles 13.2 GENOTYPE SPACES AND GENOTYPE NETWORKS 13.2.1 Genotype spaces 13.2.2 Genotype–phenotype mapping 13.3 QUANTIFYING ROBUSTNESS AND EVOLVABILITY 13.4 SOFTWARE TOOLS EXERCISES REFERENCES FURTHER READING Epilogue: The Road Ahead Index 325