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    Mathematics for Biologists Problem Workbook
    This is a workbook of solved problems created by Dr. Juergen Gerlach at Radford University

    Keywords: math for biologymath for life sciencesworkbookproblem set

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    Operon
    This Excel workbook models lac operon function in a partial diploid E. coli. The user chooses the bacterial genotype and the sugars present in the surrounding medium: the workbook then determines...

    Keywords: Lac OperonE. coli

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    Buffer Preparation
    This Excel workbook calculates the necessary components to create a buffer solution using the Henderson-Hasselbalch equation.

    Keywords: buffer solutionacidbase

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    Balancing Chemical Equations Using Matrix Algebra
    This Excel workbook introduces using matrix algebra to balance chemical reactions. The workbook allows the user to set up their own matrices for chemical reactions involving 2-7 elements.

    Keywords: chemical reactionsInverse matrix methodmatrix algebra

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    Developmental Allometry: Scaling in Growth
    This Excel workbook illustrates a number of allometric equations in animal growth. The workbook also calculates an allometric equation with graphical output for data entered by the user.

    Keywords: allometrybrain developmentSkeletal Systemmetabolic rate

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    Genetic Code
    This Excel workbook allows the user to recreate the steps in breaking the genetic code. The user enters the sequence of repetitive synthetic mRNA strands, which are translated in vitro to produce...

    Keywords: mRNAgenetic code

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    ESS: Evolutionary Stable Strategies Game Theory Module
    This Excel workbook illustrates a number of ESS examples. Each example allows the user to manipulate the initial population for each strategy and the fitness payoffs and costs for each strategy.

    Keywords: population geneticsfitnessgame theorySequence alignmentevolutionary stable strategies

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    Deme 2.0
    This workbook simulates the population genetics of a single gene with two alleles. It can simultaneously model up to three local populations, which may differ in their selection coefficients.

    Keywords: population geneticsGenetic DriftNatural Selection

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    ABO Blood Group Frequencies
    An Excel workbook in which students can calculate blood type frequencies through different approaches (Hardy-Weinberg, quadratic formula, and the EM algorithm). The workbook shows the formulas...

    Keywords: Hardy-Weinbergblood type frequencies

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    Phylogeography Simulator
    This Excel workbook simulates the phylogeography of an asexually reproducing species.

    Keywords: Phylogeographymutation ratesAsexual reproductionspecies dispersal

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    GeoPhyl
    This Excel workbook allows students to explore evolution over space and time using published data on the invasive plant Tamarix (salt cedar).

    Keywords: Invasive SpeciesTamarixsalt cedarpermutation testrandom geographic distribution

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    Evolution Through Natural Selection
    This Excel workbook simulates the population genetics of a single gene with two alleles, allowing the user to set the initial allele frequencies and enter parameters for a variety of different...

    Keywords: population geneticsNatural Selection

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    Yeast Cell Growth
    Numbers Count resource using Excel for data analysis

    Keywords: data analysisExcelNumbers Count

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    Leslie/Lefkovitch Matrix Models for Age or Stage-structured Populations
    This Excel workbook uses the Leslie matrix model for population projection of age-class structured populations, and also allows Lefkovitch matrix models for stage-class structured populations.

    Keywords: survivalpopulation ecologyfecundityLeslie matrixeigenvalueseigenvectorsLefkovitch matrixage-class structured populationsstage-class structured populationsreproductive value

    122

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    Island Biogeography
    This Excel workbook demonstrates the principles of the MacArthur-Wilson theory of Island Biogeography. It allows the user to define the mainland species pool, area of the island, and distance of...

    Keywords: Logarithmsspecies richnessIsland biogeographyExponential FunctionsMacArthur-Wilson Theorypower functions

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    Birthday Problem and Class Phenotypic Probabilities
    An Excel workbook exploring two related applications, the Birthday Problem and Class Phenotypic Probabilities. Students enter their own phenotypes into the workbook.

    Keywords: phenotypic probabilityallelic frequency

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    COVID-19 Model
    This Excel worksheet implements an SEAIHRD model for Covid-19 (Susceptible, Exposed, Asymptomatic infective, symptomatic Infective, Hospitalized infective, Recovered, Deceased).

    Keywords: infectious diseaseCOVID19

    199

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    In silico chromosome mapping: Idiograms
    This workbook allows the user to construct idiograms (haploid or diploid), map sequences onto them, depict chromosome structural mutations, and perform side-by-side comparative analyses of...

    Keywords: InheritancemutationschromosomesidiogramDrosophila melanogaster

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    Protein Analysis
    This Excel workbook allows the analysis of sample or imported protein sequences. The model can analyze protein sequences up to 500 amino acids long.

    Keywords: Protein sequencehydrophobicity/hydrophilicity

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    Linkage Analysis
    This Excel workbook simulates a linkage analysis problem with up to four alleles. Based on the offspring produced by a multihybrid testcross, the user builds a model of the gene order,...

    Keywords: recombinationlinkage analysis

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    30

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