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    Cell Division and the Presence of a Growth Factor
    This module introduces exponential growth, the Michaelis-Menten, and Lineweaver-Burk equations in the context of understanding how growth factors influence cell division. It is intended for an...

    Keywords: exponential equationshyperbolic equationsCell StructureCell Growthgrowth factor

    790

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    169

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    Cell Division and Rates of Population Growth
    This module introduces the exponential growth of cells in the context of understanding cell division. It is intended for an introductory biology audience.

    Keywords: exponential equationscell growth and divisionGeometric SeriesCell StructureOpenStaxgeometric equations

    1069

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    193

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    Doubling Time of Tumors
    This module introduces the calculation of potential doubling time of tumorous cells in the context of understanding the growth of a population of the cells. It is intended for an introductory...

    Keywords: linear regressionRatiosCell StructureOpenStaxCell Growth

    927

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    172

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    Mechanisms of Cell Attachment
    This module introduces the calculation of refractive indices along a cell surface in the context of understanding the attachment of cells to surfaces. It is intended for an introductory biology...

    Keywords: GeometryCell StructureCell GrowthSimple EquationsInterpreting GraphCell Attachment

    790

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    150

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    Mitotic Index and Cell Division
    This module introduces the mitotic index in the context of understanding the dynamics of cell division in the root of a plant. It is intended for an introductory biology audience.

    Keywords: RatiosCell StructureCell GrowthchartCell DivisionMitotic Index

    1016

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    306

    downloads

    1

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    Maintenance of Cell Shape
    This module introduces an equation to calculate roundness in the context of understanding how myosin contributes to cell shape. It is intended for an introductory biology audience.

    Keywords: AlgebraCell StructureCell Growthbar chart

    915

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    153

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    0

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    Yeast Cell Growth
    Numbers Count resource using Excel for data analysis

    Keywords: data analysisExcelNumbers Count

    1277

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    364

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    2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
    Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.

    Keywords: bacteriaagent-basedpopulationbrod-shapedcellular growth

    122

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    48

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    Cell Aggregation and Sphere Packing
    This module introduces the calculation of packing density in the context of understanding cell aggregation and arrangement. It is intended for an introductory biology audience.

    Keywords: RatiosGeometryInequalitiesCell StructureCell GrowthCell AggregationSphere Packing

    943

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    188

    downloads

    0

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    Nucleoplasmic Index
    This module introduces the nucleoplasmic index in the context of understanding how the volume of organelles and cell contents change during the cell cycle. It is intended for an introductory...

    Keywords: RatiosInterpreting GraphsCell StructureCell GrowthNucleoplasmic Index

    1650

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    274

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    2018-Dyjuan_Tatro-The_Mathematics_of_Cancer-Fitting_Gompertz_Equation_to_Tumor_Growth
    Fitting the Gompertz Model to long term breast cancer study data, this project ascertains gompertzian parameters that can be used to predicts tumor growth as a function of time.

    Keywords: tumorgrowthGompertzfittingparameter

    117

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    47

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    0

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    Plant Cell Expansion and Plant Hormones
    This module introduces the cell enlargement model in the context of understanding plant hormones' effects. It is intended for an introductory biology audience.

    Keywords: plant physiologyhyperbolic equationsplant hormonescell enlargement

    853

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    184

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    Uninhibited Growth of Cells
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...

    Keywords: graphingexponential growthMicrobiology Educationmicrobiologybacteriagrowth rateUndergraduate STEM educationCommunity College Educationqbccmanipulate equationsCellular and Molecular BiologyCreate graphsInterpret graphsbinary fissionsemi-log graphlinear graphgrowth curvecreating graphsExponential and Logarithmic Functions

    809

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    1101

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    0

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    Nucleo-cytoplasmic Transport
    This module introduces exponential decay and the rate of influx in the context of understanding the transport of molecules from the cytoplasm to the nucleus. It is intended for an introductory...

    Keywords: exponential equationsCell StructureCell Growth

    720

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    129

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    Graphing bacterial growth rates: semi-log graphs v linear graphs
    In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear...

    Keywords: graphingexponential growthMicrobiology Educationmicrobiologybacteriagrowth rateUndergraduate STEM educationCommunity College Educationqbccmanipulate equationsCellular and Molecular BiologyCreate graphsInterpret graphsbinary fissionsemi-log graphlinear graphgrowth curvecreating graphsExponential and Logarithmic Functions

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    2522

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    2015-Khan-EtAl-How differential equations influence the tumor growth via mathematical models
    This work demonstrates the importance of differential equations to develop mathematical model of tumor growth.

    Keywords: tumorcancdercancerous cellsimmunotherapymalignant

    104

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    63

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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

    594

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    60

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    0

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    Nuclear and Cytoplasmic Viscosity
    This module introduces a modified Stokes-Einstein equation in the context of understanding the difference in viscosity between the nucleus and cytoplasm of cells

    Keywords: linear equationsCell StructureCell GrowthCytoplasmic Viscosity

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    138

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    Phototropism and Gravitropism: Quantifying Stem Curvature in Plants Introduction
    This module introduces phototropism and gravitropism in the context of understanding how to quantify stem curvature of plants. It is intended for an introductory biology audience.

    Keywords: plant physiologyGeometryTrigonometry

    1011

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    241

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    0

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    Cell Division and Cancer Risk Data Point
    Cancer is typically attributed to hereditary and environmental factors, but these only explain a fraction of overall cancer risk. This activity explores a third factor.

    Keywords: Resources @ HHMI - BioInteractivecancerScientific ProcessStatistics and MathScientific Methodologybiology of cellscell growth and divisionHigh School

    2494

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    342

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