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Stochastic Modelling in Biology

Relevant Mathematical Concepts and Recent Applications
    https://doi.org/10.1142/9789814540711Cited by:3 (Source: Crossref)
    Abstract:

    The Table of Contents for the book is as follows:

    • List of Authors

    • Introduction

    • I. THEORETICAL-BIOLOGICAL INVESTIGATIONS

      • TRANSDIFFERENTIATION

      • KINETIC AND METABOLIC HETEROGENEITY OF CELLS IN THE CELL CYCLE

      • INTERACTING BIOLOGICAL CELL SYSTEMS

    • II. INTERACTING RANDOM SYSTEMS

      • Comparison Techniques for Markovian Models of Cell Growth

      • SOME STOCHASTIC MODELS OF INTERACTING DIFFUSION PROCESSES AND THE ASSOCIATED PROPAGATION OF CHAOS

      • A STATISTICAL MODEL OF SEGREGATION OF A POPULATION

      • A LIMIT THEOREM FOR A ONE-DIMENSIONAL MANY-PARTICLE SYSTEM WITH GRADIENT INTERACTION

      • GIBBS MEASURES FOR CELL SYSTEMS

      • ON THE GENEALOGY OF LARGE CELL POPULATIONS

    • III. STOCHASTIC PROCESSES WITH BRANCHING MECHANISMS

      • ON A BRANCHING MODEL FOR CHEMOTHERAPY

      • VARIANTS OF THE SIMPLE BRANCHING PROCESS

      • THE QUANTITATIVE BEHAVIOUR OF SOME SLOWLY GROWING POPULATION-DEPENDENT MARKOV BRANCHING PROCESSES

      • DIFFUSION LIMITS OF POPULATION-DEPENDENT MARKOV BRANCHING PROCESSES

      • BRANCHING PROCESSES AND NEUTRAL MUTATIONS

    • IV. STOCHASTIC ANALYSIS AND GROWTH PROCESSES

      • CONFINERS, STOCHASTIC EQUIVALENTS OF ATTRACTORS

      • SOME PROPERTIES OF STOCHASTIC DIFFERENCE EQUATIONS

      • AGE-STRUCTURED POPULATIONS WITH MULTITYPE PARASITIC INFECTIONS

      • MATHEMATICAL MODELLING OF THE LIFE CYCLE IN CELL POPULATIONS

      • A TRANSPORT EQUATION MODELLING CELL GROWTH

    • V. SPECIAL STOCHASTIC AND STATISTICAL APPROACHES

      • STATISTICAL IDENTIFICATION OF AN INTERACTING TWO-TYPE PARTICLE PROCESS

      • PERIODIC ORBITS FOR INTERVAL MAPS

      • Selfsimilar processes. Hierarchical Dyson process

      • IMMUNOLOGICALLY MOTIVATED CELLULAR AUTOMATA